Problem
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how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 13 inches than that of a rectangular sheet of paper measuring 6.5 inches by 11 inches ?
|
let ' s just look at the dimensions ( no calculation needed ) . with dimension 11 the same , the other dimension 13 is twice 6.5 then the area will be double which means 100 % greater . the answer is c .
|
['a ) 50 %', 'b ) 87 %', 'c ) 100 %', 'd ) 187 %', 'e ) 200 %']
|
c
|
multiply(divide(subtract(multiply(rectangle_area(11, 13), const_2), multiply(rectangle_area(6.5, 11), const_2)), rectangle_area(11, 13)), const_100)
|
rectangle_area(n0,n1)|rectangle_area(n0,n2)|multiply(#0,const_2)|multiply(#1,const_2)|subtract(#2,#3)|divide(#4,#0)|multiply(#5,const_100)
|
geometry
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 13 inches than that of a rectangular sheet of paper measuring 6.5 inches by 11 inches ?
Categories:
general
physics
gain
geometry
probability
other
|
geometry
|
in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,9 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ?
|
"the area of the right triangle is ( 1 / 2 ) * 4 * 9 = 18 . only the points ( a , b ) below the line y = x satisfy a - b > 0 . the part of the triangle which is below the line y = x has an area of ( 1 / 2 ) ( 4 ) ( 4 ) = 8 . p ( a - b > 0 ) = 8 / 18 = 2 / 9 the answer is d ."
|
a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 9 , e ) 4 / 5
|
d
|
divide(const_4, add(0,0, const_10))
|
add(n0,const_10)|divide(const_4,#0)|
|
geometry
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,9 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ?
Categories:
general
physics
gain
geometry
probability
other
|
geometry
|
if a sum of money doubles itself in 5 years at simple interest , the ratepercent per annum is
|
"explanation : let sum = x then simple interest = x rate = ( 100 * x ) / ( x * 5 ) = 20 option c"
|
a ) 12 , b ) 12.5 , c ) 20 , d ) 13.5 , e ) 14
|
c
|
divide(divide(const_2, divide(5, const_100)), const_2)
|
divide(n0,const_100)|divide(const_2,#0)|divide(#1,const_2)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
if a sum of money doubles itself in 5 years at simple interest , the ratepercent per annum is
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
elvin ' s monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service . elvin ' s total telephone bill for january was $ 52 and elvin ' s total telephone bill for february was 76 $ . if elvin ' s charge for the calls he made in february was twice the charge for the calls he made in january , what is elvin ' s fixed monthly charge for internet service ?
|
"bill = fixed charge + charge of calls made in jan , bill = fixed charge ( let , y ) + charge of calls made in jan ( let , x ) = $ 52 in feb , bill = fixed charge ( let , y ) + charge of calls made in feb ( then , 2 x ) = $ 76 i . e . x + y = 52 and 2 x + y = 76 take the difference if two equations i . e . ( 2 x + y ) - ( x + y ) = 76 - 52 i . e . x = 24 i . e . fixed monthly charge , y = 28 answer : option d"
|
a ) $ 5 , b ) $ 10 , c ) $ 14 , d ) $ 28 , e ) $ 29
|
d
|
subtract(multiply(52, const_2), 76)
|
multiply(n0,const_2)|subtract(#0,n1)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
elvin ' s monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service . elvin ' s total telephone bill for january was $ 52 and elvin ' s total telephone bill for february was 76 $ . if elvin ' s charge for the calls he made in february was twice the charge for the calls he made in january , what is elvin ' s fixed monthly charge for internet service ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
a started a business with an investment of rs . 70000 and after 9 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 76000 , then the share of b is ?
|
"ratio of investments of a and b is ( 70000 * 12 ) : ( 120000 * 3 ) = 7 : 12 total profit = rs . 76000 share of b = 12 / 19 ( 76000 ) = rs . 48000 answer : d"
|
a ) 33008 , b ) 24000 , c ) 28000 , d ) 48000 , e ) 81122
|
d
|
subtract(76000, multiply(const_60, const_100))
|
multiply(const_100,const_60)|subtract(n3,#0)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a started a business with an investment of rs . 70000 and after 9 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 76000 , then the share of b is ?
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
how many 7 in between 1 to 110 ?
|
"7 , 17,27 , 37,47 , 57,67 , 70,71 , 72,73 , 74,75 , 76,77 ( two 7 ' s ) , 78 , 79,87 , 97,107 21 7 ' s between 1 to 110 answer : b"
|
a ) 18 , b ) 21 , c ) 22 , d ) 23 , e ) 24
|
b
|
divide(110, multiply(7, const_3.0))
|
multiply(n0,const_3.0)|divide(n2,#0)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
how many 7 in between 1 to 110 ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
a alone can finish a work in 10 days which b alone can finish in 15 days . if they work together and finish it , then out of a total wages of rs . 3000 , a will get :
|
"explanation : ratio of working days of a : b = 10 : 15 therefore , their wages ratio = reverse ratio = 15 : 10 therefore , a will get 15 units of ratio total ratio = 25 1 unit of ratio = 3000 / 25 = 120 so , a β s amount = 120 Γ 15 = rs . 1800 . answer : option c"
|
a ) rs . 1200 , b ) rs . 1500 , c ) rs . 1800 , d ) rs . 2000 , e ) none of these
|
c
|
multiply(divide(divide(multiply(15, const_2), 10), add(divide(multiply(15, const_2), 10), divide(multiply(15, const_2), 15))), 3000)
|
multiply(n1,const_2)|divide(#0,n0)|divide(#0,n1)|add(#1,#2)|divide(#1,#3)|multiply(n2,#4)|
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a alone can finish a work in 10 days which b alone can finish in 15 days . if they work together and finish it , then out of a total wages of rs . 3000 , a will get :
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 78000 , then the share of b is ?
|
"ratio of investments of a and b is ( 70000 * 12 ) : ( 120000 * 6 ) = 7 : 6 total profit = rs . 78000 share of b = 6 / 13 ( 78000 ) = rs . 36000 answer : c"
|
a ) a ) 34500 , b ) b ) 36099 , c ) c ) 36000 , d ) d ) 38007 , e ) e ) 42000
|
c
|
subtract(78000, multiply(const_60, const_100))
|
multiply(const_100,const_60)|subtract(n3,#0)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 78000 , then the share of b is ?
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
if an object travels 90 feet in 3 seconds , what is the object β s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )
|
"90 feet / 3 seconds = 30 feet / second ( 30 feet / second ) * ( 3600 seconds / hour ) * ( 1 mile / 5280 feet ) = 20.45 miles / hour ( approximately ) the answer is b ."
|
a ) 17.36 , b ) 20.45 , c ) 23.87 , d ) 26.92 , e ) 29.56
|
b
|
divide(divide(90, 5280), multiply(3, divide(1, const_3600)))
|
divide(n0,n3)|divide(n2,const_3600)|multiply(n1,#1)|divide(#0,#2)|
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
if an object travels 90 feet in 3 seconds , what is the object β s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
if 2 x + y = 7 and x + 2 y = 5 , then xy / 3 =
|
"2 * ( x + 2 y = 5 ) equals 2 x + 4 y = 10 2 x + 4 y = 10 - 2 x + y = 7 = 3 y = 3 therefore y = 1 plug and solve . . . 2 x + 1 = 7 2 x = 6 x = 3 xy / 3 = 3 * 1 / 3 = 1 a"
|
a ) 1 , b ) 4 / 3 , c ) 17 / 5 , d ) 18 / 5 , e ) 4
|
a
|
divide(add(divide(subtract(multiply(7, 2), 5), subtract(multiply(2, 2), const_1)), subtract(7, multiply(2, divide(subtract(multiply(7, 2), 5), subtract(multiply(2, 2), const_1))))), 3)
|
multiply(n0,n1)|multiply(n0,n0)|subtract(#0,n3)|subtract(#1,const_1)|divide(#2,#3)|multiply(n0,#4)|subtract(n1,#5)|add(#4,#6)|divide(#7,n4)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
if 2 x + y = 7 and x + 2 y = 5 , then xy / 3 =
Categories:
general
physics
gain
geometry
probability
other
|
general
|
there are 21 students in a class . in how many different ways can a committee of 3 students be formed ?
|
"21 c 3 = 21 * 20 * 19 / 6 = 1330 the answer is b ."
|
a ) 1180 , b ) 1330 , c ) 1540 , d ) 1760 , e ) 1920
|
b
|
multiply(subtract(const_1, divide(3, 21)), 21)
|
divide(n1,n0)|subtract(const_1,#0)|multiply(#1,n0)|
|
probability
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
there are 21 students in a class . in how many different ways can a committee of 3 students be formed ?
Categories:
general
physics
gain
geometry
probability
other
|
probability
|
the average age of boys in a class is 16 years and that of the girls is 15 years . the average age for the whole class is
|
"clearly , to find the average , we ought to know the numbers of boys , girls or students in the class , neither of which has been given . so the data provided is inadequate . answer : e"
|
a ) 15 years , b ) 15.5 years , c ) 16 years , d ) 17 years , e ) can not be computed
|
e
|
subtract(16, 15)
|
subtract(n0,n1)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
the average age of boys in a class is 16 years and that of the girls is 15 years . the average age for the whole class is
Categories:
general
physics
gain
geometry
probability
other
|
general
|
of 800 surveyed students , 20 % of those who read book a also read book b and 25 % of those who read book b also read book a . if each student read at least one of the books , what is the difference between the number of students who read only book a and the number of students who read only book b ?
|
"say the number of students who read book a is a and the number of students who read book b is b . given that 20 % of those who read book a also read book b and 25 % of those who read book b also read book a , so the number of students who read both books is 0.2 a = 0.25 b - - > a = 1.25 b . since each student read at least one of the books then { total } = { a } + { b } - { both } - - > 800 = 1.25 b + b - 0.25 b - - > b = 400 , a = 1.25 b = 500 and { both } = 0.25 b = 100 . the number of students who read only book a is { a } - { both } = 500 - 100 = 400 ; the number of students who read only book b is { b } - { both } = 400 - 100 = 300 ; the difference is 400 - 300 = 100 . answer : e ."
|
a ) 20 , b ) 25 , c ) 30 , d ) 55 , e ) 100
|
e
|
subtract(multiply(multiply(divide(800, subtract(add(divide(divide(25, const_100), divide(20, const_100)), const_1), divide(25, const_100))), divide(divide(25, const_100), divide(20, const_100))), subtract(const_1, divide(20, const_100))), multiply(divide(800, subtract(add(divide(divide(25, const_100), divide(20, const_100)), const_1), divide(25, const_100))), subtract(const_1, divide(25, const_100))))
|
divide(n2,const_100)|divide(n1,const_100)|divide(#0,#1)|subtract(const_1,#1)|subtract(const_1,#0)|add(#2,const_1)|subtract(#5,#0)|divide(n0,#6)|multiply(#7,#2)|multiply(#7,#4)|multiply(#8,#3)|subtract(#10,#9)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
of 800 surveyed students , 20 % of those who read book a also read book b and 25 % of those who read book b also read book a . if each student read at least one of the books , what is the difference between the number of students who read only book a and the number of students who read only book b ?
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
what annual payment will discharge a debt of rs . 1090 due in 2 years at the rate of 5 % compound interest ?
|
explanation : let each installment be rs . x . then , x / ( 1 + 5 / 100 ) + x / ( 1 + 5 / 100 ) 2 = 1090 820 x + 1090 * 441 x = 586.21 so , value of each installment = rs . 586.21 answer : option b
|
a ) 993.2 , b ) 586.21 , c ) 534.33 , d ) 543.33 , e ) 646.33
|
b
|
divide(multiply(power(add(divide(5, const_100), const_1), 2), 1090), 2)
|
divide(n2,const_100)|add(#0,const_1)|power(#1,n1)|multiply(n0,#2)|divide(#3,n1)
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
what annual payment will discharge a debt of rs . 1090 due in 2 years at the rate of 5 % compound interest ?
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
a man sells a car to his friend at 15 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was :
|
"explanation : s . p = rs . 54,000 . gain earned = 20 % c . p = rs . [ 100 / 120 Γ£ β 54000 ] = rs . 45000 this is the price the first person sold to the second at at loss of 15 % . now s . p = rs . 45000 and loss = 15 % c . p . rs . [ 100 / 85 Γ£ β 45000 ] = rs . 52941.18 correct option : c"
|
a ) rs . 22941.18 , b ) rs . 32941.18 , c ) rs . 52941.18 , d ) rs . 62941.18 , e ) none of these
|
c
|
divide(multiply(divide(multiply(54000, const_100), add(const_100, 20)), const_100), subtract(const_100, 15))
|
add(n2,const_100)|multiply(n1,const_100)|subtract(const_100,n0)|divide(#1,#0)|multiply(#3,const_100)|divide(#4,#2)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a man sells a car to his friend at 15 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was :
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 1 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?
|
"answer : option c explanation : a 2 = 3136 = > a = 56 56 * 4 * 3 = 672 Γ’ β¬ β 6 = 666 * 1 = 666 answer : c"
|
a ) 399 , b ) 272 , c ) 666 , d ) 277 , e ) 311
|
c
|
multiply(multiply(subtract(multiply(sqrt(3136), const_4), multiply(const_2, 1)), 1), 3)
|
multiply(n3,const_2)|sqrt(n0)|multiply(#1,const_4)|subtract(#2,#0)|multiply(n2,#3)|multiply(#4,n1)|
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 1 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
how many 0 ' s are there in the binary form of 6 * 1024 + 4 * 64 + 2
|
6 * 1024 + 4 * 64 + 2 = 6144 + 256 + 2 = 6402 in binary code 6402 base 10 = 11001 000000 10 in base 2 . so 9 zeros are there . answer : e
|
a ) 6 , b ) 7 , c ) 8 , d ) 10 , e ) 9
|
e
|
subtract(add(6, 4), const_1)
|
add(n1,n3)|subtract(#0,const_1)
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
how many 0 ' s are there in the binary form of 6 * 1024 + 4 * 64 + 2
Categories:
general
physics
gain
geometry
probability
other
|
general
|
what is 7 1 / 4 - 4 2 / 3 divided by 7 / 8 - 3 / 4 ?
|
"7 1 / 4 - 4 2 / 3 = 29 / 4 - 14 / 3 = ( 87 - 56 ) / 12 = 31 / 12 7 / 8 - 3 / 4 = ( 7 - 6 ) / 8 = 1 / 8 so 31 / 12 / 1 / 8 = 31 / 12 * 8 = 62 / 3 answer - d"
|
a ) 87 / 36 , b ) 36 / 17 , c ) 7 / 6 , d ) 62 / 3 , e ) 5 / 4
|
d
|
subtract(divide(add(multiply(const_10, 7), 7), 4), divide(add(const_10, 4), 3))
|
add(n3,const_10)|multiply(const_10,n0)|add(n0,#1)|divide(#0,n5)|divide(#2,n2)|subtract(#4,#3)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
what is 7 1 / 4 - 4 2 / 3 divided by 7 / 8 - 3 / 4 ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 225 , then the mean profit for the last 15 days would be
|
"average would be : 350 = ( 225 + x ) / 2 on solving , x = 475 . answer : c"
|
a ) rs . 200 , b ) rs . 350 , c ) rs . 475 , d ) rs . 425 , e ) none of these
|
c
|
divide(subtract(multiply(30, 350), multiply(15, 225)), 15)
|
multiply(n0,n1)|multiply(n2,n3)|subtract(#0,#1)|divide(#2,n3)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 225 , then the mean profit for the last 15 days would be
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
find out the c . i on rs . 8000 at 4 % p . a . compound half - yearly for 1 1 / 2 years
|
"a = 8000 ( 51 / 50 ) 3 = 8489.66 8000 - - - - - - - - - - - 489.66 answer : a"
|
a ) 489.66 , b ) 406.07 , c ) 406.04 , d ) 306.03 , e ) 306.01
|
a
|
subtract(multiply(8000, power(add(1, divide(4, const_100)), divide(const_3, 2))), 8000)
|
divide(n1,const_100)|divide(const_3,n4)|add(#0,n2)|power(#2,#1)|multiply(n0,#3)|subtract(#4,n0)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
find out the c . i on rs . 8000 at 4 % p . a . compound half - yearly for 1 1 / 2 years
Categories:
general
physics
gain
geometry
probability
other
|
general
|
jayes can eat 25 marshmallows is 20 minutes . dylan can eat 25 in one hour . in how much time will the two eat 150 marshmallows ?
|
rate = output / time jayes rate = 25 / 20 = 5 / 4 dylan rate = 25 / 60 = 5 / 12 combined rate = 5 / 4 + 5 / 12 = 20 / 12 combinedrate * combinedtime = combinedoutput 20 / 12 * t = 150 t = 90 mins = > 1 hr 30 min
|
a ) 40 minutes . , b ) 1 hour and 30 minutes . , c ) 1 hour . , d ) 1 hour and 40 minutes . , e ) 2 hours and 15 minutes .
|
c
|
divide(20, 20)
|
divide(n1,n1)
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
jayes can eat 25 marshmallows is 20 minutes . dylan can eat 25 in one hour . in how much time will the two eat 150 marshmallows ?
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
how many even number in the range between 10 to 120 inclusive are not divisible by 3
|
"we have to find the number of terms that are divisible by 2 but not by 6 ( as the question asks for the even numbers only which are not divisible by 3 ) for 2 , 10 , 12,14 . . . 120 using ap formula , we can say 120 = 10 + ( n - 1 ) * 2 or n = 56 . for 6 , 12,18 , . . . 120 using ap formula , we can say 120 = 12 + ( n - 1 ) * 6 or n = 19 . hence , only divisible by 2 but not 3 = 56 - 19 = 37 . hence , answer d"
|
a ) 15 , b ) 30 , c ) 31 , d ) 37 , e ) 46
|
d
|
subtract(divide(subtract(subtract(120, 10), const_2), const_2), divide(divide(subtract(subtract(subtract(subtract(120, const_2), multiply(3, const_4)), 3), 3), 3), const_2))
|
multiply(n2,const_4)|subtract(n1,n0)|subtract(n1,const_2)|subtract(#1,const_2)|subtract(#2,#0)|divide(#3,const_2)|subtract(#4,n2)|subtract(#6,n2)|divide(#7,n2)|divide(#8,const_2)|subtract(#5,#9)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
how many even number in the range between 10 to 120 inclusive are not divisible by 3
Categories:
general
physics
gain
geometry
probability
other
|
general
|
in the biology lab of ` ` jefferson ' ' high school there are 0.037 * 10 ^ 5 germs , equally divided among 74000 * 10 ^ ( - 3 ) petri dishes . how many germs live happily in a single dish ?
|
0.037 * 10 ^ 5 can be written as 3700 74000 * 10 ^ ( - 3 ) can be written as 74 required = 3700 / 74 = 50 answer : e
|
a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50
|
e
|
divide(multiply(multiply(const_1000, const_100), 0.037), divide(74000, const_1000))
|
divide(n3,const_1000)|multiply(const_100,const_1000)|multiply(n0,#1)|divide(#2,#0)
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
in the biology lab of ` ` jefferson ' ' high school there are 0.037 * 10 ^ 5 germs , equally divided among 74000 * 10 ^ ( - 3 ) petri dishes . how many germs live happily in a single dish ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
the largest 4 digit number exactly divisible by 44 is ?
|
"largest 4 - digit number = 9999 44 ) 9999 ( 227 9988 largest number : 9988 answer : a"
|
a ) 9988 , b ) 9939 , c ) 9944 , d ) 9954 , e ) 9960
|
a
|
square_area(const_pi)
|
square_area(const_pi)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
the largest 4 digit number exactly divisible by 44 is ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
if a certain number is divided by 2 , the quotient , dividend , and divisor , added together , will amount to 62 . what is the number ?
|
"let x = the number sought . then x / 2 + x + 2 = 62 . x = 40 . c"
|
a ) 18 , b ) 28 , c ) 40 , d ) 38 , e ) 59
|
c
|
divide(multiply(subtract(62, 2), 2), add(2, const_1))
|
add(n0,const_1)|subtract(n1,n0)|multiply(n0,#1)|divide(#2,#0)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
if a certain number is divided by 2 , the quotient , dividend , and divisor , added together , will amount to 62 . what is the number ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
a and b can do a work in 10 days and 15 days respectively . a starts the work and b joins him after 5 days . in how many days can they complete the remaining work ?
|
"work done by a in 5 days = 5 / 10 = 1 / 2 remaining work = 1 / 2 work done by both a and b in one day = 1 / 10 + 1 / 15 = 5 / 30 = 1 / 6 remaining work = 1 / 2 * 6 / 1 = 3 days . answer : e"
|
a ) 6 days , b ) 2 days , c ) 8 days , d ) 4 days , e ) 3 days
|
e
|
subtract(add(inverse(add(inverse(15), inverse(10))), 10), const_3)
|
inverse(n1)|inverse(n0)|add(#0,#1)|inverse(#2)|add(n0,#3)|subtract(#4,const_3)|
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a and b can do a work in 10 days and 15 days respectively . a starts the work and b joins him after 5 days . in how many days can they complete the remaining work ?
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
for the symbol , m β n = n ^ 2 β m for all values of m and n . what is the value of 4 β 2 ?
|
"4 β 2 = 4 - 4 = 0 answer : e"
|
a ) 5 , b ) 3 , c ) 2 , d ) 1 , e ) 0
|
e
|
subtract(power(2, 2), 4)
|
power(n2,n0)|subtract(#0,n1)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
for the symbol , m β n = n ^ 2 β m for all values of m and n . what is the value of 4 β 2 ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
in an office in singapore there are 60 % female employees . 50 % of all the male employees are computer literate . if there are total 62 % employees computer literate out of total 1100 employees , then the no . of female employees who are computer literate ?
|
"solution : total employees , = 1100 female employees , 60 % of 1100 . = ( 60 * 1100 ) / 100 = 660 . then male employees , = 440 50 % of male are computer literate , = 220 male computer literate . 62 % of total employees are computer literate , = ( 62 * 1100 ) / 100 = 682 computer literate . thus , female computer literate = 682 - 220 = 462 . answer : option a"
|
a ) 462 , b ) 674 , c ) 672 , d ) 960 , e ) none
|
a
|
multiply(subtract(divide(62, const_100), multiply(subtract(const_1, divide(60, const_100)), divide(50, const_100))), 1100)
|
divide(n2,const_100)|divide(n1,const_100)|divide(n0,const_100)|subtract(const_1,#2)|multiply(#1,#3)|subtract(#0,#4)|multiply(n3,#5)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
in an office in singapore there are 60 % female employees . 50 % of all the male employees are computer literate . if there are total 62 % employees computer literate out of total 1100 employees , then the no . of female employees who are computer literate ?
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
total 48 matches are conducted in knockout match type . how many players will be participated in that tournament ?
|
"47 players answer : e"
|
a ) 48 , b ) 47 , c ) 40 , d ) 42 , e ) 47
|
e
|
add(48, const_1)
|
add(n0,const_1)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
total 48 matches are conducted in knockout match type . how many players will be participated in that tournament ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
in 130 m race , a covers the distance in 36 seconds and b in 45 seconds . in this race a beats b by :
|
"distance covered by b in 9 sec . = 130 / 45 x 9 m = 26 m . a beats b by 26 metres . answer : option d"
|
a ) 20 m , b ) 25 m , c ) 22.5 m , d ) 26 m , e ) 12 m
|
d
|
multiply(divide(130, 45), subtract(45, 36))
|
divide(n0,n2)|subtract(n2,n1)|multiply(#0,#1)|
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
in 130 m race , a covers the distance in 36 seconds and b in 45 seconds . in this race a beats b by :
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
at a certain university , 69 % of the professors are women , and 70 % of the professors are tenured . if 90 % of the professors are women , tenured , or both , then what percent of the men are tenured ?
|
"answer is 75 % total women = 69 % total men = 40 % total tenured = 70 % ( both men and women ) therefore , women tenured + women professors + men tenured = 90 % men tenured = 21 % but question wants to know the percent of men that are tenured 21 % / 40 % = 52.5 % d"
|
a ) 25 , b ) 37.5 , c ) 50 , d ) 52.5 , e ) 75
|
d
|
add(subtract(const_100, 69), subtract(90, 69))
|
subtract(const_100,n0)|subtract(n2,n0)|add(#0,#1)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
at a certain university , 69 % of the professors are women , and 70 % of the professors are tenured . if 90 % of the professors are women , tenured , or both , then what percent of the men are tenured ?
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
in a dairy farm , 26 cows eat 26 bags of husk in 26 days . in how many days one cow will eat one bag of husk ?
|
"explanation : one bag of husk = 26 cows per day β 26 Γ 1 Γ 26 = 1 Γ 26 Γ x for one cow = 26 days answer : d"
|
a ) 1 , b ) 40 , c ) 20 , d ) 26 , e ) 30
|
d
|
multiply(divide(26, 26), 26)
|
divide(n0,n0)|multiply(n0,#0)|
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
in a dairy farm , 26 cows eat 26 bags of husk in 26 days . in how many days one cow will eat one bag of husk ?
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
the average age of a group of n people is 14 years old . one more person aged 34 joins the group and the new average is 16 years old . what is the value of n ?
|
"14 n + 34 = 16 ( n + 1 ) 2 n = 18 n = 9 the answer is c ."
|
a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
|
c
|
divide(subtract(34, 16), subtract(16, 14))
|
subtract(n1,n2)|subtract(n2,n0)|divide(#0,#1)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
the average age of a group of n people is 14 years old . one more person aged 34 joins the group and the new average is 16 years old . what is the value of n ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
the number 0.650 is how much greater than 1 / 8 ?
|
"let x be the difference then . 65 - 1 / 8 = x 65 / 100 - 1 / 8 = x x = 21 / 40 ans b"
|
a ) Β½ , b ) 21 / 40 , c ) 1 / 50 , d ) 1 / 500 , e ) 2 / 500
|
b
|
subtract(0.650, divide(1, 8))
|
divide(n1,n2)|subtract(n0,#0)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
the number 0.650 is how much greater than 1 / 8 ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
if $ 1092 are divided between worker a and worker b in the ratio 5 : 8 , what is the share that worker b will get ?
|
"worker b will get 8 / 13 = 61.54 % the answer is b ."
|
a ) 60.32 % , b ) 61.54 % , c ) 62.21 % , d ) 62.76 % , e ) 63.87 %
|
b
|
divide(1092, add(5, 8))
|
add(n1,n2)|divide(n0,#0)|
|
other
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
if $ 1092 are divided between worker a and worker b in the ratio 5 : 8 , what is the share that worker b will get ?
Categories:
general
physics
gain
geometry
probability
other
|
other
|
a card is drawn from a pack of 52 cards the probability of getting queen of club or aking of a heart ?
|
"here n ( s ) = 52 let e be the event of getting queen of the club or king of kings n ( e ) = 2 p ( e ) = n ( e ) / n ( s ) = 2 / 52 = 1 / 26 answer ( c )"
|
a ) 8 / 58 , b ) 9 / 25 , c ) 1 / 26 , d ) 6 / 25 , e ) 8 / 45
|
c
|
divide(subtract(52, multiply(const_4, const_4)), 52)
|
multiply(const_4,const_4)|subtract(n0,#0)|divide(#1,n0)|
|
probability
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a card is drawn from a pack of 52 cards the probability of getting queen of club or aking of a heart ?
Categories:
general
physics
gain
geometry
probability
other
|
probability
|
1000 men have provisions for 17 days . if 500 more men join them , for how many days will the provisions last now ?
|
"1000 * 17 = 1500 * x x = 11.3 answer : c"
|
a ) 12.9 , b ) 12.5 , c ) 11.3 , d ) 12.2 , e ) 12.1
|
c
|
divide(multiply(17, 1000), add(1000, 500))
|
add(n0,n2)|multiply(n0,n1)|divide(#1,#0)|
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
1000 men have provisions for 17 days . if 500 more men join them , for how many days will the provisions last now ?
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
a person travels equal distances with speeds of 3 km / hr , 4 km / hr and 5 km / hr and takes a total time of 47 minutes . the total distance is ?
|
"c 3 km let the total distance be 3 x km . then , x / 3 + x / 4 + x / 5 = 47 / 60 47 x / 60 = 47 / 60 = > x = 1 . total distance = 3 * 1 = 3 km ."
|
a ) 1 km , b ) 2 km , c ) 3 km , d ) 4 km , e ) 5 km
|
c
|
multiply(multiply(divide(divide(47, const_60), add(add(divide(const_1, 3), divide(const_1, 4)), divide(const_1, 5))), const_3), const_1000)
|
divide(n3,const_60)|divide(const_1,n0)|divide(const_1,n1)|divide(const_1,n2)|add(#1,#2)|add(#4,#3)|divide(#0,#5)|multiply(#6,const_3)|multiply(#7,const_1000)|
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a person travels equal distances with speeds of 3 km / hr , 4 km / hr and 5 km / hr and takes a total time of 47 minutes . the total distance is ?
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
if x is an integer such that 0 < x < 7 , 0 < x < 15 , 5 > x > β 1 , 3 > x > 0 , and x + 2 < 4 , then x is
|
"0 < x < 7 , 0 < x < 15 , 5 > x > β 1 3 > x > 0 x < 2 from above : 0 < x < 2 - - > x = 1 . answer : a ."
|
a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
|
a
|
subtract(subtract(5, 2), 2)
|
subtract(n4,n8)|subtract(#0,n8)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
if x is an integer such that 0 < x < 7 , 0 < x < 15 , 5 > x > β 1 , 3 > x > 0 , and x + 2 < 4 , then x is
Categories:
general
physics
gain
geometry
probability
other
|
general
|
an error 5 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is :
|
"explanation : 100 cm is read as 105 cm . a 1 = ( 100 Γ 100 ) cm 2 = 10000 and a 2 = ( 105 Γ 105 ) cm 2 = 10816 ( a 2 - a 1 ) = 11025 - 10000 = 1025 = > 1025 / 10000 * 100 = 10.25 answer : c"
|
a ) 10.01 , b ) 9.25 , c ) 10.25 , d ) 8.25 , e ) 6.25
|
c
|
divide(multiply(subtract(square_area(add(const_100, 5)), square_area(const_100)), const_100), square_area(const_100))
|
add(n0,const_100)|square_area(const_100)|square_area(#0)|subtract(#2,#1)|multiply(#3,const_100)|divide(#4,#1)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
an error 5 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is :
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
1 + 1
|
e
|
a ) 9 , b ) 8 , c ) 3 , d ) 0 , e ) 2
|
e
|
multiply(divide(1, 1), const_100)
|
divide(n0,n1)|multiply(#0,const_100)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
1 + 1
Categories:
general
physics
gain
geometry
probability
other
|
general
|
rahul can do a work in 3 days while rajesh can do the same work in 2 days . both of them finish the work together and get $ 150 . what is the share of rahul ?
|
"rahul ' s wages : rajesh ' s wages = 1 / 3 : 1 / 2 = 2 : 3 rahul ' s share = 150 * 2 / 5 = $ 60 answer is c"
|
a ) $ 50 , b ) $ 40 , c ) $ 60 , d ) $ 100 , e ) $ 90
|
c
|
multiply(divide(2, add(3, 2)), 150)
|
add(n0,n1)|divide(n1,#0)|multiply(n2,#1)|
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
rahul can do a work in 3 days while rajesh can do the same work in 2 days . both of them finish the work together and get $ 150 . what is the share of rahul ?
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
a boat m leaves shore a and at the same time boat b leaves shore b . they move across the river . they met at 500 yards away from a and after that they met 300 yards away from shore b without halting at shores . find the distance between the shore a & b
|
if x is the distance , a is speed of a and b is speed of b , then ; 500 / a = ( x - 500 ) / b and ( x + 300 ) / a = ( 2 x - 300 ) / b , solving it , we get x = 1200 yards answer : b
|
a ) 1000 yards , b ) 1200 yards , c ) 1400 yards , d ) 1600 yards , e ) 1800 yards
|
b
|
multiply(300, const_4)
|
multiply(n1,const_4)
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a boat m leaves shore a and at the same time boat b leaves shore b . they move across the river . they met at 500 yards away from a and after that they met 300 yards away from shore b without halting at shores . find the distance between the shore a & b
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
a pineapple costs rs 7 each and a watermelon costs rs . 5 each . if i spend rs 38 on total what is the number of pineapple i purchased ?
|
explanation : the equation for this problem can be made as : 5 x + 7 y = 38 where x is the number of watermelons and y is the number of pineapples . now test for 2 , 3 and 4 : for y = 2 5 x + 14 = 38 x is not an integer for y = 3 5 x = 17 x not an integer for y = 4 x = 2 so 4 pineapples and 2 watermelons can be bought by 38 rs . answer : d
|
a ) 7 , b ) 6 , c ) 5 , d ) 2 , e ) 3
|
d
|
divide(subtract(38, multiply(const_4, 7)), 5)
|
multiply(n0,const_4)|subtract(n2,#0)|divide(#1,n1)
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a pineapple costs rs 7 each and a watermelon costs rs . 5 each . if i spend rs 38 on total what is the number of pineapple i purchased ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
the sub - duplicate ratio of 25 : 16 is
|
"root ( 25 ) : root ( 16 ) = 5 : 4 answer : d"
|
a ) 4 : 3 , b ) 1 : 2 , c ) 1 : 3 , d ) 5 : 4 , e ) 2 : 3
|
d
|
divide(sqrt(25), sqrt(16))
|
sqrt(n0)|sqrt(n1)|divide(#0,#1)|
|
other
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
the sub - duplicate ratio of 25 : 16 is
Categories:
general
physics
gain
geometry
probability
other
|
other
|
in Ξ΄ pqs above , if pq = 7 and ps = 8 , then
|
"there are two ways to calculate area of pqs . area remains same , so both are equal . 7 * 8 / 2 = pr * 9 / 2 pr = 56 / 9 c"
|
a ) 9 / 4 , b ) 12 / 5 , c ) 56 / 9 , d ) 15 / 4 , e ) 20 / 3
|
c
|
divide(8, 7)
|
divide(n1,n0)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
in Ξ΄ pqs above , if pq = 7 and ps = 8 , then
Categories:
general
physics
gain
geometry
probability
other
|
general
|
ajay can ride 50 km in 1 hour . in how many hours he can ride 1250 km ?
|
"1 hour he ride 50 km he ride 1250 km in = 1250 / 50 * 1 = 25 hours answer is d"
|
a ) 10 hrs , b ) 15 hrs , c ) 20 hrs , d ) 25 hrs , e ) 18 hrs
|
d
|
divide(1250, 50)
|
divide(n2,n0)|
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
ajay can ride 50 km in 1 hour . in how many hours he can ride 1250 km ?
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
a boat covers a certain distance downstream in 1 hour , while it comes back in 11 Γ’ Β β 2 hours . if the speed of the stream be 3 kmph , what is the speed of the boat in still water ?
|
"let the speed of the water in still water = x given that speed of the stream = 3 kmph speed downstream = ( x + 3 ) kmph speed upstream = ( x Γ’ Λ β 3 ) kmph he travels a certain distance downstream in 1 hour and come back in 11 Γ’ Β β 2 hour . i . e . , distance travelled downstream in 1 hour = distance travelled upstream in 11 Γ’ Β β 2 hour since distance = speed Γ£ β time , we have ( x + 3 ) Γ£ β 1 = ( x - 3 ) 3 / 2 2 ( x + 3 ) = 3 ( x - 3 ) 2 x + 6 = 3 x - 9 x = 6 + 9 = 15 kmph answer : d"
|
a ) 31 kmph , b ) 16 kmph , c ) 19 kmph , d ) 15 kmph , e ) 14 kmph
|
d
|
divide(add(multiply(divide(const_3, const_2), const_3.0), 2), subtract(divide(const_3, const_2), 1))
|
divide(const_3,const_2)|multiply(const_3.0,#0)|subtract(#0,n0)|add(const_3.0,#1)|divide(#3,#2)|
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a boat covers a certain distance downstream in 1 hour , while it comes back in 11 Γ’ Β β 2 hours . if the speed of the stream be 3 kmph , what is the speed of the boat in still water ?
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
in a division , a student took 87 as divisor instead of 36 . his answer was 24 . the correct answer is -
|
x / 87 = 24 . x = 24 * 87 . so correct answer would be , ( 24 * 87 ) / 36 = 58 . answer : e
|
a ) 42 , b ) 32 , c ) 48 , d ) 28 , e ) 58
|
e
|
divide(multiply(87, 24), 36)
|
multiply(n0,n2)|divide(#0,n1)
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
in a division , a student took 87 as divisor instead of 36 . his answer was 24 . the correct answer is -
Categories:
general
physics
gain
geometry
probability
other
|
general
|
what is the sum of all digits for the number 10 ^ 26 - 51 ?
|
"10 ^ 26 is a 27 - digit number : 1 followed by 26 zeros . 10 ^ 26 - 51 is a 26 - digit number : 24 9 ' s and 49 at the end . the sum of the digits is 24 * 9 + 4 + 9 = 229 . the answer is d ."
|
a ) 199 , b ) 209 , c ) 219 , d ) 229 , e ) 239
|
d
|
multiply(add(divide(subtract(subtract(26, 10), const_2), const_2), 10), divide(add(subtract(26, 10), const_2), const_2))
|
subtract(n1,n0)|add(#0,const_2)|subtract(#0,const_2)|divide(#2,const_2)|divide(#1,const_2)|add(n0,#3)|multiply(#5,#4)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
what is the sum of all digits for the number 10 ^ 26 - 51 ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
what is the measure of the angle w made by the diagonals of the any adjacent sides of a cube .
|
"c . . 60 degrees all the diagonals are equal . if we take 3 touching sides and connect their diagonals , we form an equilateral triangle . therefore , each angle would be 60 . c"
|
a ) 30 , b ) 45 , c ) 60 , d ) 75 , e ) 90
|
c
|
divide(const_180, const_3)
|
divide(const_180,const_3)|
|
geometry
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
what is the measure of the angle w made by the diagonals of the any adjacent sides of a cube .
Categories:
general
physics
gain
geometry
probability
other
|
geometry
|
what is the compound interest paid on a sum of rs . 6000 for the period of 2 years at 10 % per annum .
|
solution = interest % for 1 st year = 10 interest % for 2 nd year = 10 + 10 % of 10 = 10 + 10 * 10 / 100 = 11 total % of interest = 10 + 11 = 21 total interest = 21 % 6000 = 6000 * ( 21 / 100 ) = 1260 answer a
|
a ) 1260 , b ) 1320 , c ) 1200 , d ) 1250 , e ) none of these
|
a
|
subtract(multiply(6000, power(add(const_1, divide(10, const_100)), const_2)), 6000)
|
divide(n2,const_100)|add(#0,const_1)|power(#1,const_2)|multiply(n0,#2)|subtract(#3,n0)
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
what is the compound interest paid on a sum of rs . 6000 for the period of 2 years at 10 % per annum .
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
a fair 2 sided coin is flipped 8 times . what is the probability that tails will be the result at least twice , but not more than 8 times ?
|
"at least twice , but not more than 8 timesmeans exactly 2 times , 3 times , 4 times , 5 times , 6 times , 7 times , 8 times the probability of getting exactly k results out of n flips is nck / 2 ^ n 8 c 2 / 2 ^ 8 + 8 c 3 / 2 ^ 8 + 8 c 4 / 2 ^ 8 + 8 c 5 / 2 ^ 8 + 8 c 6 / 2 ^ 8 + 8 c 7 / 2 ^ 8 = 143 / 128 option : e"
|
a ) 5 / 8 , b ) 3 / 4 , c ) 7 / 8 , d ) 157 / 64 , e ) 143 / 128
|
e
|
subtract(const_1, add(multiply(inverse(power(2, 8)), 8), add(inverse(power(2, 8)), inverse(power(2, 8)))))
|
power(n0,n1)|inverse(#0)|add(#1,#1)|multiply(n1,#1)|add(#2,#3)|subtract(const_1,#4)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a fair 2 sided coin is flipped 8 times . what is the probability that tails will be the result at least twice , but not more than 8 times ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
the difference between c . i . and s . i . on an amount of rs . 15,000 for 2 years is rs . 54 . what is the rate of interest per annum ?
|
"explanation : [ 15000 * ( 1 + r / 100 ) 2 - 15000 ] - ( 15000 * r * 2 ) / 100 = 54 15000 [ ( 1 + r / 100 ) 2 - 1 - 2 r / 100 ] = 54 15000 [ ( 100 + r ) 2 - 10000 - 200 r ] / 10000 = 54 r 2 = ( 54 * 2 ) / 3 = 36 = > r = 6 rate = 6 % answer : option e"
|
a ) 8 , b ) 2 , c ) 9 , d ) 4 , e ) 6
|
e
|
sqrt(54)
|
sqrt(n2)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
the difference between c . i . and s . i . on an amount of rs . 15,000 for 2 years is rs . 54 . what is the rate of interest per annum ?
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
find the compound ratio of ( 1 : 2 ) , ( 2 : 3 ) and ( 3 : 4 ) is
|
"required ratio = 1 / 2 * 2 / 3 * 3 / 4 = 1 / 4 = 1 : 4 answer is d"
|
a ) 1 : 2 , b ) 3 : 5 , c ) 5 : 7 , d ) 1 : 4 , e ) 2 : 1
|
d
|
multiply(divide(1, 2), multiply(divide(1, 2), divide(2, 2)))
|
divide(n0,n1)|divide(n2,n1)|multiply(#0,#1)|multiply(#0,#2)|
|
other
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
find the compound ratio of ( 1 : 2 ) , ( 2 : 3 ) and ( 3 : 4 ) is
Categories:
general
physics
gain
geometry
probability
other
|
other
|
if 1 is added to the denominator of fraction , the fraction becomes 1 / 2 . if 1 is added to the numerator , the fraction becomes 1 . the fraction is
|
explanation : let the required fraction be a / b . then β a / b + 1 = 1 / 2 β 2 a β b = 1 - - - - ( 1 ) β a + 1 / b = 1 β a β b = β 1 β a β b = β 1 - - - - - - - ( 2 ) solving ( 1 ) & ( 2 ) we get a = 2 , b = 3 fraction = a / b = 2 / 3 correct option : c
|
a ) 4 / 7 , b ) 5 / 9 , c ) 2 / 3 , d ) 10 / 11 , e ) none of these
|
c
|
divide(add(1, 1), add(2, 1))
|
add(n0,n0)|add(n0,n2)|divide(#0,#1)
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
if 1 is added to the denominator of fraction , the fraction becomes 1 / 2 . if 1 is added to the numerator , the fraction becomes 1 . the fraction is
Categories:
general
physics
gain
geometry
probability
other
|
general
|
if the ratio of two number is 2 : 3 and lcm of the number is 120 then what is the number .
|
"product of two no = lcm * hcf 2 x * 3 x = 120 * x x = 20 answer : b"
|
a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 35
|
b
|
divide(120, multiply(2, 3))
|
multiply(n0,n1)|divide(n2,#0)|
|
other
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
if the ratio of two number is 2 : 3 and lcm of the number is 120 then what is the number .
Categories:
general
physics
gain
geometry
probability
other
|
other
|
find out the c . i on rs . 4000 at 4 % p . a . compound half - yearly for 1 1 / 2 years
|
"a = 4000 ( 51 / 50 ) 3 = 4244.832 4000 - - - - - - - - - - - 244.83 answer : a"
|
a ) 244.83 , b ) 306.07 , c ) 306.04 , d ) 306.03 , e ) 306.01
|
a
|
subtract(multiply(4000, power(add(1, divide(4, const_100)), divide(const_3, 2))), 4000)
|
divide(n1,const_100)|divide(const_3,n4)|add(#0,n2)|power(#2,#1)|multiply(n0,#3)|subtract(#4,n0)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
find out the c . i on rs . 4000 at 4 % p . a . compound half - yearly for 1 1 / 2 years
Categories:
general
physics
gain
geometry
probability
other
|
general
|
bert and rebecca were looking at the price of a condominium . the price of the condominium was 40 % more than bert had in savings , and separately , the same price was also 75 % more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings .
|
suppose bert had 100 so price becomes 140 , this 140 = 1.75 times r ' s saving . . so r ' s saving becomes 80 so required ratio is 100 : 80 = 5 : 4 answer : e
|
a ) 1 : 4 , b ) 4 : 1 , c ) 2 : 3 , d ) 3 : 2 , e ) 5 : 4
|
e
|
divide(divide(const_100, add(const_100, 40)), divide(const_100, add(const_100, 75)))
|
add(n0,const_100)|add(n1,const_100)|divide(const_100,#0)|divide(const_100,#1)|divide(#2,#3)
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
bert and rebecca were looking at the price of a condominium . the price of the condominium was 40 % more than bert had in savings , and separately , the same price was also 75 % more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings .
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
walking at 5 / 6 of her normal speed , a worker is 12 minutes later than usual in reaching her office . the usual time ( in minutes ) taken by her to cover the distance between her home and her office is
|
"let v be her normal speed and let t be her normal time . d = ( 5 / 6 ) v * ( t + 12 ) since the distance is the same we can equate this to a regular day which is d = v * t v * t = ( 5 / 6 ) v * ( t + 12 ) t / 6 = 10 t = 60 the answer is e ."
|
a ) 36 , b ) 42 , c ) 48 , d ) 54 , e ) 60
|
e
|
multiply(5, 12)
|
multiply(n0,n2)|
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
walking at 5 / 6 of her normal speed , a worker is 12 minutes later than usual in reaching her office . the usual time ( in minutes ) taken by her to cover the distance between her home and her office is
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
if 12 lions can kill 12 deers in 12 minutes how long will it take 100 lions to kill 100 deers ?
|
"we can try the logic of time and work , our work is to kill the deers so 12 ( lions ) * 12 ( min ) / 12 ( deers ) = 100 ( lions ) * x ( min ) / 100 ( deers ) hence answer is x = 12 answer : b"
|
a ) 1 minutes , b ) 12 minute , c ) 120 minutes , d ) 10000 minutes , e ) 1000 minutes
|
b
|
multiply(divide(12, 12), 12)
|
divide(n0,n0)|multiply(n0,#0)|
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
if 12 lions can kill 12 deers in 12 minutes how long will it take 100 lions to kill 100 deers ?
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
a man cycling along the road noticed that every 18 minutes a bus overtakes him and every 6 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ?
|
let ' s say the distance between the buses is d . we want to determine interval = \ frac { d } { b } , where b is the speed of bus . let the speed of cyclist be c . every 18 minutes a bus overtakes cyclist : \ frac { d } { b - c } = 18 , d = 18 b - 18 c ; every 6 minutes cyclist meets an oncoming bus : \ frac { d } { b + c } = 6 , d = 6 b + 6 c ; d = 18 b - 18 c = 6 b + 6 c , - - > b = 2 c , - - > d = 18 b - 9 b = 9 b . interval = \ frac { d } { b } = \ frac { 9 b } { b } = 9 answer : d ( 9 minutes ) .
|
a ) 5 minutes , b ) 6 minutes , c ) 8 minutes , d ) 9 minutes , e ) 10 minutes
|
d
|
divide(subtract(18, divide(18, divide(add(6, 18), subtract(18, 6)))), const_1)
|
add(n0,n1)|subtract(n0,n1)|divide(#0,#1)|divide(n0,#2)|subtract(n0,#3)|divide(#4,const_1)
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a man cycling along the road noticed that every 18 minutes a bus overtakes him and every 6 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ?
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 27000 . what will be the ratio in which they should share the profit at the end of the year ?
|
"ratio in which they should share the profit = ratio of the investments multiplied by the time period = 45000 Γ 12 : 27000 Γ 9 = 45 Γ 12 : 27 Γ 9 = 15 Γ 12 : 9 Γ 9 = 20 : 9 answer is a"
|
a ) 20 : 9 , b ) 2 : 1 , c ) 3 : 2 , d ) 2 : 3 , e ) 5 : 3
|
a
|
divide(multiply(45000, const_12), multiply(27000, add(const_4, const_3)))
|
add(const_3,const_4)|multiply(n0,const_12)|multiply(n2,#0)|divide(#1,#2)|
|
other
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 27000 . what will be the ratio in which they should share the profit at the end of the year ?
Categories:
general
physics
gain
geometry
probability
other
|
other
|
the hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at 15 miles per hour . the cyclist stops to wait for the hiker 5 minutes after passing her , while the hiker continues to walk at her constant rate , how many minutes must the cyclist wait until the hiker catches up ?
|
"after passing the hiker the cyclist travels for 5 minutes at a rate of 15 miles / hour . in those 5 mins the cyclist travels a distance of 5 / 4 miles . in those 5 mins the hiker travels a distance of 1 / 3 miles . so the hiker still has to cover 11 / 12 miles to meet the waiting cyclist . the hiker will need 55 / 4 mins to cover the remaining 11 / 12 miles . so the answer is b ."
|
a ) 20 , b ) 55 / 4 , c ) 25 , d ) 14 , e ) 13
|
b
|
multiply(divide(multiply(subtract(15, 4), divide(5, const_60)), 4), const_60)
|
divide(n2,const_60)|subtract(n1,n0)|multiply(#0,#1)|divide(#2,n0)|multiply(#3,const_60)|
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
the hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at 15 miles per hour . the cyclist stops to wait for the hiker 5 minutes after passing her , while the hiker continues to walk at her constant rate , how many minutes must the cyclist wait until the hiker catches up ?
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
if x + y = 10 , x - y = 18 , for integers of x and y , x = ?
|
x + y = 10 x - y = 18 2 x = 28 x = 14 answer is a
|
a ) 14 , b ) 15 , c ) 25 , d ) 13 , e ) 42
|
a
|
divide(add(10, 18), const_2)
|
add(n0,n1)|divide(#0,const_2)
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
if x + y = 10 , x - y = 18 , for integers of x and y , x = ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
wink , inc . follows a certain procedure that requires two tasks to be finished independently in order for a job to be done . on any given day , there is a 2 / 3 probability that task 1 will be completed on time , and a 3 / 5 probability that task 2 will be completed on time . on a certain day , what is the probability that task 1 will be completed on time , but task 2 will not ?
|
"p ( 1 and not 2 ) = 2 / 3 * ( 1 - 3 / 5 ) = 4 / 15 . answer : a ."
|
a ) 4 / 15 , b ) 3 / 40 , c ) 13 / 40 , d ) 7 / 20 , e ) 13 / 22
|
a
|
multiply(divide(2, 3), subtract(const_1, divide(3, 2)))
|
divide(n0,n1)|divide(n3,n4)|subtract(n2,#1)|multiply(#0,#2)|
|
probability
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
wink , inc . follows a certain procedure that requires two tasks to be finished independently in order for a job to be done . on any given day , there is a 2 / 3 probability that task 1 will be completed on time , and a 3 / 5 probability that task 2 will be completed on time . on a certain day , what is the probability that task 1 will be completed on time , but task 2 will not ?
Categories:
general
physics
gain
geometry
probability
other
|
probability
|
find the least number must be subtracted from 964807 so that remaining no . is divisible by 8 ?
|
"on dividing 964807 by 15 we get the remainder 7 , so 7 should be subtracted a"
|
a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3
|
a
|
subtract(964807, multiply(floor(divide(964807, 8)), 8))
|
divide(n0,n1)|floor(#0)|multiply(n1,#1)|subtract(n0,#2)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
find the least number must be subtracted from 964807 so that remaining no . is divisible by 8 ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
if 8 people take an hour to complete a piece of work , then how long should 16 people will take to complete the same piece of work ?
|
if 8 people take an hour to complete a piece of work , then 16 people will take 8 * 60 / 16 = 30 mins to complete the same piece of work . answer : b
|
a ) 15 min , b ) 30 min , c ) 26 min , d ) 28 min , e ) 18 min
|
b
|
multiply(divide(8, 16), const_60)
|
divide(n0,n1)|multiply(#0,const_60)
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
if 8 people take an hour to complete a piece of work , then how long should 16 people will take to complete the same piece of work ?
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
find the area of a parallelogram with base 25 cm and height 15 cm ?
|
"area of a parallelogram = base * height = 25 * 15 = 375 cm 2 answer : d"
|
a ) 295 cm 2 , b ) 385 cm 2 , c ) 275 cm 2 , d ) 375 cm 2 , e ) 285 cm 2
|
d
|
multiply(25, 15)
|
multiply(n0,n1)|
|
geometry
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
find the area of a parallelogram with base 25 cm and height 15 cm ?
Categories:
general
physics
gain
geometry
probability
other
|
geometry
|
when x is even , [ x ] = x / 2 + 1 , when x is odd [ x ] = 2 x + 1 then [ 6 ] * [ 4 ] = ?
|
"[ 6 ] * [ 4 ] = ( 6 / 2 + 1 ) ( 4 / 2 + 1 ) = [ 12 ] . ans - a"
|
a ) [ 12 ] , b ) [ 44 ] , c ) [ 45 ] , d ) [ 88 ] , e ) [ 90 ]
|
a
|
multiply(add(divide(6, 2), 1), add(multiply(2, 4), 1))
|
divide(n4,n0)|multiply(n0,n5)|add(#0,n1)|add(#1,n1)|multiply(#2,#3)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
when x is even , [ x ] = x / 2 + 1 , when x is odd [ x ] = 2 x + 1 then [ 6 ] * [ 4 ] = ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
in a certain company , a third of the workers do not have a retirement plan . 60 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?
|
"set up equation : x = total number of workers 120 = 0,4 * 2 / 3 * x + 0,4 * 1 / 3 * x 120 = 12 / 30 x x = 300 300 - 120 = 180 answer c"
|
a ) 80 , b ) 95 , c ) 180 , d ) 120 , e ) 210
|
c
|
multiply(divide(120, add(subtract(divide(const_1, const_3), multiply(divide(const_1, const_3), divide(60, const_100))), multiply(subtract(const_1, divide(const_1, const_3)), divide(40, const_100)))), add(multiply(divide(const_1, const_3), divide(60, const_100)), subtract(subtract(const_1, divide(const_1, const_3)), multiply(subtract(const_1, divide(const_1, const_3)), divide(40, const_100)))))
|
divide(const_1,const_3)|divide(n0,const_100)|divide(n1,const_100)|multiply(#0,#1)|subtract(const_1,#0)|multiply(#2,#4)|subtract(#0,#3)|add(#5,#6)|subtract(#4,#5)|add(#3,#8)|divide(n2,#7)|multiply(#9,#10)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
in a certain company , a third of the workers do not have a retirement plan . 60 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
a bus started its journey from mumbai and reached pune in 65 min with its average speed of 60 km / hr . if the average speed of the bus is increased by 5 km / hr , how much time will it take to cover the same distance ?
|
sol . distance between ramgarh and devgarh = ( 60 * 65 ) / 60 = 60 average speed of the bus is increased by 5 km / hr then the speed of the bus = 60 km / hr required time = 60 / 60 = 1 hr c
|
a ) 2 hrs , b ) 3 hrs , c ) 1 hrs , d ) 1 1 / 2 hrs , e ) 2 1 / 2 hrs
|
c
|
divide(multiply(60, divide(65, 60)), add(60, 5))
|
add(n1,n2)|divide(n0,n1)|multiply(n1,#1)|divide(#2,#0)
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a bus started its journey from mumbai and reached pune in 65 min with its average speed of 60 km / hr . if the average speed of the bus is increased by 5 km / hr , how much time will it take to cover the same distance ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
the mean of 50 observations is 200 . but later he found that there is decrements of 47 from each observations . what is the the updated mean is ?
|
"153 answer is c"
|
a ) 165 , b ) 185 , c ) 153 , d ) 198 , e ) 199
|
c
|
subtract(200, 47)
|
subtract(n1,n2)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
the mean of 50 observations is 200 . but later he found that there is decrements of 47 from each observations . what is the the updated mean is ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
a bag contains 4 red , 6 blue and 3 green balls . if 3 balls are picked at random , what is the probability that both are blue ?
|
"p ( both are red ) , = 6 c 3 / 13 c 3 = 10 / 143 c"
|
a ) 11 / 144 , b ) 12 / 455 , c ) 10 / 143 , d ) 11 / 125 , e ) 14 / 368
|
c
|
divide(choose(4, const_2.0), choose(add(add(4, 6), const_4.0), const_2.0))
|
add(n0,n1)|choose(n0,const_2.0)|add(const_4.0,#0)|choose(#2,const_2.0)|divide(#1,#3)|
|
other
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a bag contains 4 red , 6 blue and 3 green balls . if 3 balls are picked at random , what is the probability that both are blue ?
Categories:
general
physics
gain
geometry
probability
other
|
other
|
what is 120 % of 13 / 24 of 360 ?
|
"120 % * 13 / 24 * 360 = 1.2 * 13 * 15 = 234 the answer is c ."
|
a ) 52 , b ) 117 , c ) 234 , d ) 312 , e ) 576
|
c
|
divide(multiply(120, add(add(multiply(multiply(add(const_3, const_2), const_2), multiply(multiply(const_3, const_4), const_100)), multiply(multiply(add(const_3, const_4), add(const_3, const_2)), multiply(add(const_3, const_2), const_2))), add(const_3, const_3))), const_100)
|
add(const_2,const_3)|add(const_3,const_4)|add(const_3,const_3)|multiply(const_3,const_4)|multiply(#0,const_2)|multiply(#3,const_100)|multiply(#1,#0)|multiply(#4,#5)|multiply(#6,#4)|add(#7,#8)|add(#9,#2)|multiply(n0,#10)|divide(#11,const_100)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
what is 120 % of 13 / 24 of 360 ?
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
if a farmer sells 10 of his chickens , his stock of feed will last for 4 more days than planned , but if he buys 15 more chickens , he will run out of feed 3 days earlier than planned . if no chickens are sold or bought , the farmer will be exactly on schedule . how many chickens does the farmer have ?
|
"say farmer has n chicken and he is good for d days . : - we have 3 equations given in question : - ( n - 10 ) * d + 4 = ( n + 15 ) * ( d - 3 ) = n * d solving these : ( you can solve 1 st and 3 rd and 2 nd and 3 rd together ) we get : 15 d - 3 n = 45 4 n - 10 d = 40 = > n = 35 ans d it is !"
|
a ) 12 , b ) 24 , c ) 48 , d ) 35 , e ) 60
|
d
|
multiply(add(const_2, 4), multiply(3, 4))
|
add(const_2,n1)|multiply(n1,n3)|multiply(#0,#1)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
if a farmer sells 10 of his chickens , his stock of feed will last for 4 more days than planned , but if he buys 15 more chickens , he will run out of feed 3 days earlier than planned . if no chickens are sold or bought , the farmer will be exactly on schedule . how many chickens does the farmer have ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
how many 1 / 2 s are there in 37 1 / 2 ?
|
"required number = ( 75 / 2 ) / ( 1 / 2 ) = ( 75 / 2 x 2 / 1 ) = 75 answer : a"
|
a ) 75 , b ) 150 , c ) 300 , d ) 600 , e ) 700
|
a
|
divide(add(37, divide(1, 2)), divide(1, 2))
|
divide(n0,n4)|divide(n0,n1)|add(n2,#0)|divide(#2,#1)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
how many 1 / 2 s are there in 37 1 / 2 ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
a , b , c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 175 , then how much amount should c pay as his share of rent ?
|
a : b : c = 10 * 7 : 12 * 5 : 15 * 3 = 2 * 7 : 12 * 1 : 3 * 3 = 14 : 12 : 9 amount that c should pay = 175 * ( 9 / 35 ) = 5 * 9 = 45 answer is b
|
a ) 23 , b ) 45 , c ) 15 , d ) 28 , e ) 18
|
b
|
multiply(3, 15)
|
multiply(n4,n5)
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a , b , c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 175 , then how much amount should c pay as his share of rent ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
in a box of 12 pens , a total of 6 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ?
|
"method - 1 there are 9 fine pieces of pen and 6 defective in a lot of 12 pens i . e . probability of first pen not being defective = ( 6 / 12 ) i . e . probability of second pen not being defective = ( 5 / 11 ) [ 11 pen remaining with 5 defective remaining considering that first was defective ] probability of both pen being non - defective = ( 6 / 12 ) * ( 5 / 11 ) = 5 / 22 answer : option b"
|
a ) 1 / 6 , b ) 5 / 22 , c ) 6 / 11 , d ) 9 / 16 , e ) 3 / 4
|
b
|
multiply(divide(subtract(12, 6), 12), divide(subtract(subtract(12, 6), const_1), subtract(12, const_1)))
|
subtract(n0,n1)|subtract(n0,const_1)|divide(#0,n0)|subtract(#0,const_1)|divide(#3,#1)|multiply(#2,#4)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
in a box of 12 pens , a total of 6 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
a part of certain sum of money is invested at 6 % per annum and the rest at 15 % per annum , if the interest earned in each case for the same period is equal , then ratio of the sums invested is ?
|
"15 : 6 = 5 : 2 answer : d"
|
a ) 4 : 6 , b ) 4 : 9 , c ) 4 : 3 , d ) 5 : 2 , e ) 4 : 2
|
d
|
multiply(divide(15, const_100), 6)
|
divide(n1,const_100)|multiply(n0,#0)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a part of certain sum of money is invested at 6 % per annum and the rest at 15 % per annum , if the interest earned in each case for the same period is equal , then ratio of the sums invested is ?
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
if a randomly selected non - negative single digit integer is added to { 2 , 3 , 5 , 8 } . what is the probability that the median of the set will increase but the range still remains the same ?
|
we are selecting from non - negative single digit integers , so from { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 } . these 10 digits represent the total number of outcomes . hence , the total number of outcomes is 10 . we need to find the probability that the median of the set will increase but the range still remains the same . the median of the set is ( 3 + 5 ) / 2 = 4 , thus the number selected must be 5 or greater . for the range to remain the same , the number must be between 2 and 8 inclusive . to satisfy both conditions , the number selected must be 5 , 6 , 7 , or 8 . the probability is 4 / 10 = 0.4 the answer is c .
|
a ) 0.2 , b ) 0.3 , c ) 0.4 , d ) 0.5 , e ) 0.6
|
c
|
divide(const_4, const_10)
|
divide(const_4,const_10)
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
if a randomly selected non - negative single digit integer is added to { 2 , 3 , 5 , 8 } . what is the probability that the median of the set will increase but the range still remains the same ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
on a sum of money , the s . i . for 2 years is $ 600 , while the c . i . is $ 630 , the rate of interest being the same in both the cases . the rate of interest is ?
|
"difference in c . i . and s . i for 2 years = $ 630 - $ 600 = $ 30 s . i for one year = $ 300 s . i . on $ 300 for 1 year = $ 30 rate = ( 100 * 30 ) / ( 300 ) = 10 % the answer is b ."
|
a ) 8 % , b ) 10 % , c ) 12 % , d ) 14 % , e ) 16 %
|
b
|
divide(multiply(const_100, subtract(630, 600)), divide(600, 2))
|
divide(n1,n0)|subtract(n2,n1)|multiply(#1,const_100)|divide(#2,#0)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
on a sum of money , the s . i . for 2 years is $ 600 , while the c . i . is $ 630 , the rate of interest being the same in both the cases . the rate of interest is ?
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
there are two circles of different radii . the are of a square is 784 sq cm and its side is twice the radius of the larger circle . the radius of the larger circle is seven - third that of the smaller circle . find the circumference of the smaller circle .
|
"let the radii of the larger and the smaller circles be l cm and s cm respectively . let the side of the square be a cm . a 2 = 784 = ( 4 ) ( 196 ) = ( 22 ) . ( 142 ) a = ( 2 ) ( 14 ) = 28 a = 2 l , l = a / 2 = 14 l = ( 7 / 3 ) s therefore s = ( 3 / 7 ) ( l ) = 6 circumference of the smaller circle = 2 β s = 12 β cm . answer : c"
|
a ) 165 β cm , b ) 65 β cm , c ) 12 β cm , d ) 14 β cm , e ) 16 β cm
|
c
|
add(divide(divide(square_edge_by_area(784), const_2), divide(add(const_3, const_4), const_3)), const_2)
|
add(const_3,const_4)|square_edge_by_area(n0)|divide(#1,const_2)|divide(#0,const_3)|divide(#2,#3)|add(#4,const_2)|
|
geometry
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
there are two circles of different radii . the are of a square is 784 sq cm and its side is twice the radius of the larger circle . the radius of the larger circle is seven - third that of the smaller circle . find the circumference of the smaller circle .
Categories:
general
physics
gain
geometry
probability
other
|
geometry
|
y and z walk around a circular track . they start at 5 a . m from the same point in the opposite directions . y and z walk at a speed of 3 rounds per hour and 4 rounds per hour respectively . how many times shall they cross each other before 7 a . m
|
explanation : relative speed = ( 3 + 4 ) = 9 rounds per hour so , they cross each other 9 times in an hour hence , they cross 18 times before 7 a . m answer : option e
|
a ) 14 , b ) 15 , c ) 16 , d ) 17 , e ) 18
|
e
|
divide(const_60, add(divide(divide(const_60, 4), const_10), divide(divide(const_60, 3), const_10)))
|
divide(const_60,n2)|divide(const_60,n1)|divide(#0,const_10)|divide(#1,const_10)|add(#2,#3)|divide(const_60,#4)
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
y and z walk around a circular track . they start at 5 a . m from the same point in the opposite directions . y and z walk at a speed of 3 rounds per hour and 4 rounds per hour respectively . how many times shall they cross each other before 7 a . m
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
a box contains 10 black , 5 red and 4 green marbles . 3 marbles are drawn from the box at random . what is the probability that all the three marbles are of the same color ?
|
"explanation : total marbles in a box = 10 black + 5 red + 4 green marbles = 19 marbles 3 marbles are drawn from 19 marbles at random . therefore , n ( s ) = 19 c 3 = 969 ways let a be the event that 2 marbles drawn at random are of the same color . number of cases favorable to the event a is n ( a ) = 10 c 3 + 5 c 3 + 4 c 3 = 120 + 10 + 4 = 134 therefore , by definition of probability of event a , p ( a ) = n ( a ) / n ( s ) = 134 / 969 answer : b"
|
a ) 143 / 969 , b ) 134 / 969 , c ) 120 / 969 , d ) 19 / 969 , e ) 120 / 134
|
b
|
divide(add(add(5, 4), add(const_10, add(5, 3))), multiply(add(const_10, 5), 4))
|
add(n1,n2)|add(n1,n3)|add(const_10,n1)|add(#1,const_10)|multiply(n2,#2)|add(#0,#3)|divide(#5,#4)|
|
probability
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a box contains 10 black , 5 red and 4 green marbles . 3 marbles are drawn from the box at random . what is the probability that all the three marbles are of the same color ?
Categories:
general
physics
gain
geometry
probability
other
|
probability
|
a towel , when bleached , lost 20 % of its length and 10 % of its breadth . what is the percentage decrease in area ?
|
"formula for percentage change in area is : = ( β x β y + ( xy ) / 100 ) % = ( β 20 β 10 + ( 20 Γ 10 ) / 100 ) % = β 28 % i . e . , area is decreased by 28 % answer is b ."
|
a ) 26 , b ) 28 , c ) 24 , d ) 20 , e ) 22
|
b
|
divide(subtract(multiply(const_100, const_100), multiply(subtract(const_100, 20), subtract(const_100, 10))), const_100)
|
multiply(const_100,const_100)|subtract(const_100,n0)|subtract(const_100,n1)|multiply(#1,#2)|subtract(#0,#3)|divide(#4,const_100)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a towel , when bleached , lost 20 % of its length and 10 % of its breadth . what is the percentage decrease in area ?
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
two numbers are respectively 35 % and 50 % more than a third number . the percentage that is first of the second is ?
|
"i ii iii 135 150 100 150 - - - - - - - - - - 135 100 - - - - - - - - - - - ? = > 90 % answer : a"
|
a ) 90 % , b ) 47 % , c ) 38 % , d ) 52 % , e ) 83 %
|
a
|
subtract(const_100, multiply(divide(add(35, const_100), add(50, const_100)), const_100))
|
add(n0,const_100)|add(n1,const_100)|divide(#0,#1)|multiply(#2,const_100)|subtract(const_100,#3)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
two numbers are respectively 35 % and 50 % more than a third number . the percentage that is first of the second is ?
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
a person lent a certain sum of money at 4 % per annum at simple interest and in 8 years the interest amounted to rs . 272 less than the sum lent . what was the sum lent ?
|
"p - 272 = ( p * 4 * 8 ) / 100 p = 400 answer : a"
|
a ) 400 , b ) 278 , c ) 289 , d ) 500 , e ) 821
|
a
|
divide(272, subtract(const_1, divide(multiply(4, 8), const_100)))
|
multiply(n0,n1)|divide(#0,const_100)|subtract(const_1,#1)|divide(n2,#2)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a person lent a certain sum of money at 4 % per annum at simple interest and in 8 years the interest amounted to rs . 272 less than the sum lent . what was the sum lent ?
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
a marketing firm determined that , of 200 households surveyed , 80 used neither brand r nor brand b soap , 60 used only brand r soap , and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 households surveyed used both brands of soap ?
|
solution for soap r and soap b ( d ) 40
|
a ) 15 , b ) 20 , c ) 30 , d ) 40 , e ) 45
|
d
|
add(add(divide(subtract(200, add(80, 60)), add(3, const_1)), divide(subtract(200, add(80, 60)), add(3, const_1))), const_10)
|
add(n1,n2)|add(n3,const_1)|subtract(n0,#0)|divide(#2,#1)|add(#3,#3)|add(#4,const_10)
|
other
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a marketing firm determined that , of 200 households surveyed , 80 used neither brand r nor brand b soap , 60 used only brand r soap , and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 households surveyed used both brands of soap ?
Categories:
general
physics
gain
geometry
probability
other
|
other
|
the length of the bridge , which a train 150 meters long and travelling at 45 km / hr can cross in 30 seconds , is ?
|
"speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 150 + x ) / 30 = 25 / 2 = = > 2 ( 150 + x ) = 750 = = > x = 225 m . answer : c"
|
a ) 388 , b ) 267 , c ) 225 , d ) 288 , e ) 261
|
c
|
subtract(multiply(divide(multiply(45, speed(const_1000, const_1)), speed(const_3600, const_1)), 30), 150)
|
speed(const_1000,const_1)|speed(const_3600,const_1)|multiply(n1,#0)|divide(#2,#1)|multiply(n2,#3)|subtract(#4,n0)|
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
the length of the bridge , which a train 150 meters long and travelling at 45 km / hr can cross in 30 seconds , is ?
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
if x and y are numbers such that ( x + 4 ) ( y - 4 ) = 0 , what is the smallest possible value of x ^ 2 + y ^ 2
|
"from ( x + 4 ) ( y - 4 ) = 0 it follows that either x = - 4 or y = 4 . thus either x ^ 2 = 16 or y ^ 2 = 16 . now , if x ^ 2 = 16 , then the least value of y ^ 2 is 0 , so the least value of x ^ 2 + y ^ 2 = 16 + 0 = 16 . similarly if y ^ 2 = 16 , then the least value of x ^ 2 is 0 , so the least value of x ^ 2 + y ^ 2 = 0 + 16 = 16 . answer : d ."
|
a ) 0 , b ) 9 , c ) 12 , d ) 16 , e ) 18
|
d
|
power(4, 2)
|
power(n0,n3)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
if x and y are numbers such that ( x + 4 ) ( y - 4 ) = 0 , what is the smallest possible value of x ^ 2 + y ^ 2
Categories:
general
physics
gain
geometry
probability
other
|
general
|
in the set of positive integers from 1 to 90 , what is the sum of all the odd multiples of 5 ?
|
"reduce 1 - 90 5 - 15 - 25 - 35 - 45 - - 55 - - 65 - - 75 - - 85 are valid multiples . add them - - > 405 d"
|
a ) 180 , b ) 245 , c ) 320 , d ) 405 , e ) 450
|
d
|
divide(multiply(90, multiply(const_3, 5)), 5)
|
multiply(n2,const_3)|multiply(n1,#0)|divide(#1,n2)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
in the set of positive integers from 1 to 90 , what is the sum of all the odd multiples of 5 ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
1000 men have provisions for 18 days . if 400 more men join them , for how many days will the provisions last now ?
|
1000 * 18 = 1400 * x x = 12.8 answer : b
|
a ) 12.9 , b ) 12.8 , c ) 12.6 , d ) 12.2 , e ) 12.1
|
b
|
divide(multiply(18, 1000), add(1000, 400))
|
add(n0,n2)|multiply(n0,n1)|divide(#1,#0)
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
1000 men have provisions for 18 days . if 400 more men join them , for how many days will the provisions last now ?
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
if f ( f ( n ) ) + f ( n ) = 2 n + 3 , f ( 0 ) = 1 then f ( 2014 ) = ?
|
"f ( f ( 0 ) ) + f ( 0 ) = 2 ( 0 ) + 3 β β f ( 1 ) = 3 - 1 = 2 , f ( 1 ) = 2 f ( f ( 1 ) ) + f ( 1 ) = 2 ( 1 ) + 3 β β f ( 2 ) = 5 - 2 = 3 , f ( 2 ) = 3 f ( f ( 2 ) ) + f ( 2 ) = 2 ( 2 ) + 3 β β f ( 3 ) = 7 - 3 = 4 , f ( 3 ) = 4 . . . . . . . . . . . . . . f ( 2014 ) = 2015 ans : a"
|
a ) 2015 , b ) 2088 , c ) 270 , d ) 1881 , e ) 1781
|
a
|
add(1, 2014)
|
add(n3,n4)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
if f ( f ( n ) ) + f ( n ) = 2 n + 3 , f ( 0 ) = 1 then f ( 2014 ) = ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
a , b and c can do a piece of work in 30 days , 30 days and 40 days respectively . they began the work together but c left 4 days before the completion of the work . in how many days was the work completed ?
|
"one day work of a , b and c = 1 / 30 + 1 / 30 + 1 / 40 = 1 / 11 work done by a and b together in the last 4 days = 4 * ( 1 / 30 + 1 / 30 ) = 4 / 15 remaining work = 11 / 15 the number of days required for this initial work = 8 days . the total number of days required = 4 + 8 = 12 days . answer : a"
|
a ) 12 days , b ) 16 days , c ) 18 days , d ) 11 days , e ) 38 days
|
a
|
add(divide(subtract(const_1, multiply(add(divide(const_1, 30), divide(const_1, 30)), 4)), add(divide(const_1, multiply(add(const_2, const_3), multiply(const_2, 4))), add(divide(const_1, 30), divide(const_1, 30)))), 4)
|
add(const_2,const_3)|divide(const_1,n0)|divide(const_1,n1)|multiply(const_2,n3)|add(#1,#2)|multiply(#0,#3)|divide(const_1,#5)|multiply(n3,#4)|add(#4,#6)|subtract(const_1,#7)|divide(#9,#8)|add(n3,#10)|
|
physics
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a , b and c can do a piece of work in 30 days , 30 days and 40 days respectively . they began the work together but c left 4 days before the completion of the work . in how many days was the work completed ?
Categories:
general
physics
gain
geometry
probability
other
|
physics
|
a man buys an article for $ 100 . and sells it for $ 110 . find the gain percent ?
|
"c . p . = $ 100 s . p . = $ 110 gain = $ 10 gain % = 10 / 100 * 100 = 10 % answer is a"
|
a ) 10 % , b ) 15 % , c ) 25 % , d ) 20 % , e ) 30 %
|
a
|
subtract(divide(110, divide(100, const_100)), const_100)
|
divide(n0,const_100)|divide(n1,#0)|subtract(#1,const_100)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a man buys an article for $ 100 . and sells it for $ 110 . find the gain percent ?
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
a sum of money at simple interest amounts to rs . 815 in 3 years and to rs . 854 in 4 years . the sum is :
|
"s . i . for 1 year = rs . ( 854 - 815 ) = rs . 39 . s . i . for 3 years = rs . ( 39 x 3 ) = rs . 117 . principal = rs . ( 815 - 117 ) = rs . 698 . answer : option c"
|
a ) rs . 650 , b ) rs . 690 , c ) rs . 698 , d ) rs . 700 , e ) rs . 740
|
c
|
subtract(815, divide(multiply(subtract(854, 815), 3), 4))
|
subtract(n2,n0)|multiply(n1,#0)|divide(#1,n3)|subtract(n0,#2)|
|
gain
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
a sum of money at simple interest amounts to rs . 815 in 3 years and to rs . 854 in 4 years . the sum is :
Categories:
general
physics
gain
geometry
probability
other
|
gain
|
if the average ( arithmetic mean ) of x + 1 , x + 5 , and x + 9 is 0 , then x =
|
"( x + 1 + x + 5 + x + 9 ) / 3 = 0 = > 3 x + 15 = 0 = > x = - 5 answer a"
|
a ) β 5 , b ) β 4 , c ) β 2 , d ) β 1 , e ) 0
|
a
|
subtract(multiply(5, const_2), multiply(1, const_2))
|
multiply(n1,const_2)|multiply(n0,const_2)|subtract(#0,#1)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
if the average ( arithmetic mean ) of x + 1 , x + 5 , and x + 9 is 0 , then x =
Categories:
general
physics
gain
geometry
probability
other
|
general
|
country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 14 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ?
|
"let t be the tier price , p be total price = 14000 per the given conditions : 0.14 t + 0.08 ( p - t ) = 1440 - - - - > t = 5333 . b is the correct answer ."
|
a ) $ 1600 , b ) $ 5333 , c ) $ 6050 , d ) $ 7050 , e ) $ 8000
|
b
|
divide(subtract(1440, multiply(multiply(multiply(const_3, multiply(const_2, const_3)), const_1000), divide(8, const_100))), subtract(divide(14, const_100), divide(8, const_100)))
|
divide(n1,const_100)|divide(n0,const_100)|multiply(const_2,const_3)|multiply(#2,const_3)|subtract(#1,#0)|multiply(#3,const_1000)|multiply(#0,#5)|subtract(n3,#6)|divide(#7,#4)|
|
general
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 14 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ?
Categories:
general
physics
gain
geometry
probability
other
|
general
|
what should be added to 4750 so that it may become a perfect square ?
|
"69 x 69 = 4761 4761 - 4750 = 11 if added to 11 get perfect square answer = a"
|
a ) 11 , b ) 15 , c ) 16 , d ) 17 , e ) 18
|
a
|
subtract(multiply(add(add(add(add(const_10, const_10), add(const_10, const_10)), add(const_10, const_10)), add(const_4, const_3)), add(add(add(add(const_10, const_10), add(const_10, const_10)), add(const_10, const_10)), add(const_4, const_3))), 4750)
|
add(const_10,const_10)|add(const_3,const_4)|add(#0,#0)|add(#2,#0)|add(#3,#1)|multiply(#4,#4)|subtract(#5,n0)|
|
geometry
|
problem_set_type
|
Given the problem below, in what category would you classify it?
===
{{Problem}}
Categories:
{{answer_choices | join("\n")}}
|||
{{category}}
|
Given the problem below, in what category would you classify it?
===
what should be added to 4750 so that it may become a perfect square ?
Categories:
general
physics
gain
geometry
probability
other
|
geometry
|
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