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ericsun153
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mathqa_question_change_test

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Rationale
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correct
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5 values
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linear_formula
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6 values
What is the correct answer among five choices?
"let rate = r % and time = r years . then , 1200 x r x r / 100 = 300 12 r 2 = 300 r 2 = 25 r = 5 . answer : a"
a ) 5 , b ) 6 , c ) 18 , d ) can not be determined , e ) none of these
a
sqrt(divide(multiply(300, const_100), 1200))
multiply(n1,const_100)|divide(#0,n0)|sqrt(#1)|
gain
What is the correct answer among five choices?
"multiplication rule of 11 : ( sum of digits at odd places - sum of digits at even places ) should be divisible by 11 given number : 872 , 152,24 x sum of digits at odd places = 8 + 2 + 5 + 2 + x = 17 + x ( i ) sum of digits at even places = 7 + 1 + 2 + 4 = 14 ( ii ) ( i ) - ( ii ) = 17 + x - 14 = x - 3 hence x should ...
a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
c
multiply(multiply(multiply(add(multiply(const_3, const_10), const_1), const_2), const_4), 11)
multiply(const_10,const_3)|add(#0,const_1)|multiply(#1,const_2)|multiply(#2,const_4)|multiply(n2,#3)|
general
What is the correct answer among five choices?
"the time it takes darcy to walk to work is ( 1.5 / 3 ) * 60 = 30 minutes the time it takes darcy to take the train is ( 1.5 / 20 ) * 60 + x = 4.5 + x minutes it takes 15 minutes longer to walk , so 30 = 4.5 + x + 20 x = 5.5 minutes answer : a"
a ) 5.5 , b ) 15 , c ) 25.5 , d ) 30 , e ) 60
a
subtract(subtract(divide(const_60, const_2), 20), divide(const_60, divide(20, 1.5)))
divide(const_60,const_2)|divide(n2,n0)|divide(const_60,#1)|subtract(#0,n3)|subtract(#3,#2)|
physics
What is the correct answer among five choices?
"when ball comes down , then i have indicated the distance covered in green when ball goes up , then i have indicated the distance covered in red distance travelled uptil the ball touches the floor 3 rd time : h + 0.5 h + 0.5 h + 0.5 * 0.5 h + 0.5 * 0.5 h h + 2 * 0.5 * h + 2 * 0.25 * h = h ( 1 + 2 * 0.5 + 2 * 0.25 ) = ...
a ) 60 cm , b ) 90 cm , c ) 100 cm , d ) 120 cm , e ) 130 cm
a
divide(150, add(const_2, divide(50, const_100)))
divide(n0,const_100)|add(#0,const_2)|divide(n1,#1)|
gain
What is the correct answer among five choices?
' approximately ' could actually make such a question ambiguous . not this one though but a similar question with the answer as 9.2 days . you round off 8.89 days as 9 days and everything is fine in this question . what do you do when you get 9.2 days ? do you need 9 days or 10 days ? can you round off 9.2 as 9 even th...
a ) 14 , b ) 13 , c ) 11 , d ) 9 , e ) 7
d
inverse(add(inverse(divide(multiply(12, const_2), add(const_1, divide(const_1, const_2)))), inverse(divide(multiply(15, const_2), add(const_1, divide(const_1, const_2))))))
divide(const_1,const_2)|multiply(n0,const_2)|multiply(n1,const_2)|add(#0,const_1)|divide(#1,#3)|divide(#2,#3)|inverse(#4)|inverse(#5)|add(#6,#7)|inverse(#8)
physics
What is the correct answer among five choices?
"when n is even , ( x ^ n - a ^ n ) is completely divisible by ( x - a ) . ( 17 ^ 200 - 1 ^ 200 ) is completely divisible by ( 17 + 1 ) , ( 17 ^ 200 - 1 ) is completely divisible by 18 . on dividing 17 ^ 200 by 18 , we get 1 as remainder . answer is d"
a ) 3 , b ) 8 , c ) 5 , d ) 1 , e ) 7
d
power(17, 17)
power(n0,n0)|
general
What is the correct answer among five choices?
"answer 469200 x 9999 = 469200 x ( 10000 - 1 ) = 4692000000 - 469200 = 4691100843 . option : e"
a ) 4586970843 , b ) 4686970743 , c ) 4691100843 , d ) 4586870843 , e ) 4691530800
e
multiply(469200, 9999)
multiply(n0,n1)|
general
What is the correct answer among five choices?
"explanation : d = 100 + 130 = 230 s = 36 * 5 / 18 = 10 mps t = 230 / 10 = 23 sec answer : option d"
a ) 26 , b ) 72 , c ) 25 , d ) 23 , e ) 27
d
divide(add(130, 100), multiply(36, const_0_2778))
add(n0,n1)|multiply(n2,const_0_2778)|divide(#0,#1)|
physics
What is the correct answer among five choices?
"explanation : first six prime numbers which are between 60 and 90 = 61 , 67 , 71 , 73 , 79 , 83 average = ( 61 + 67 + 71 + 73 + 79 + 83 ) / 6 = 72.33 answer : e"
a ) 35.4 , b ) 42 , c ) 45.7 , d ) 57 , e ) 72.33
e
add(60, const_1)
add(n0,const_1)|
general
What is the correct answer among five choices?
"c age x , then b age is 2 x so a age is 2 x + 2 . ( 2 x + 2 ) + 2 x + x = 27 5 x = 25 x = 5 so b is 2 x = 2 ( 5 ) 2 x 5 = 10 answer : b"
a ) 12 years , b ) 10 years , c ) 8 years , d ) 14 years , e ) 16 years
b
divide(multiply(subtract(27, const_2), const_2), add(const_4, const_1))
add(const_1,const_4)|subtract(n0,const_2)|multiply(#1,const_2)|divide(#2,#0)|
general
What is the correct answer among five choices?
total number of installments = 52 payment per installment for the first 22 installments = 410 payment per installment for the remaining 30 installments = 410 + 65 = 475 average = ( 22 * 410 + 30 * 475 ) / 52 = 447.50 answer a
a ) 447.5 , b ) 450 , c ) 465 , d ) 468 , e ) 475
a
divide(add(multiply(22, 410), multiply(add(410, 65), subtract(52, 22))), 52)
add(n4,n5)|multiply(n3,n4)|subtract(n0,n3)|multiply(#0,#2)|add(#1,#3)|divide(#4,n0)
general
What is the correct answer among five choices?
"let the numbers be 5 x and 6 x . then their h . c . f = x . so , x = 4 . so , the numbers are 20 and 24 . l . c . m of 20 and 24 = 120 . answer : e"
a ) 12 , b ) 16 , c ) 24 , d ) 48 , e ) 120
e
lcm(multiply(5, 4), multiply(6, 4))
multiply(n0,n2)|multiply(n1,n2)|lcm(#0,#1)|
other
What is the correct answer among five choices?
"easy solution : n = dq 1 + 241 2 n = 2 dq 1 + 482 - ( 1 ) 2 n = dq 2 + 102 - ( 2 ) as ( 1 ) = ( 2 ) = 2 n d * ( q 2 - 2 q 1 ) = 380 d * some integer = 380 checking all options only ( c ) syncs with it . answer c"
a ) 370 , b ) 365 , c ) 380 , d ) 456 , e ) 460
c
subtract(multiply(241, const_2), 102)
multiply(n0,const_2)|subtract(#0,n1)|
general
What is the correct answer among five choices?
"sol . sum = b . d . * t . d . / b . d . - t . d . = rs . [ 90 * 60 / 90 - 60 ] = rs . [ 90 * 60 / 30 ] = rs . 180 answer b"
a ) 210 , b ) 180 , c ) 360 , d ) 450 , e ) none
b
divide(multiply(90, 60), subtract(90, 60))
multiply(n0,n1)|subtract(n0,n1)|divide(#0,#1)|
gain
What is the correct answer among five choices?
it is essential to recognize that the remainder when an integer is divided by 10 is simply the units digit of that integer . to help see this , consider the following examples : 4 / 10 is 0 with a remainder of 4 14 / 10 is 1 with a remainder of 4 5 / 10 is 0 with a remainder of 5 105 / 10 is 10 with a remainder of 5 it...
a ) 10 , b ) 6 , c ) 4 , d ) 0 , e ) it can not be determined
b
reminder(power(4, 2), 10)
power(n1,n0)|reminder(#0,n2)
general
What is the correct answer among five choices?
"sol . let the numbers be x and y . then , ( x + y ) = 22 and x 2 + y 2 = 386 . now , 2 xy = ( x + y ) 2 - ( x 2 + y 2 ) = ( 22 ) 2 - 386 = 484 - 386 = 98 xy = 49 . answer b"
a ) 40 , b ) 49 , c ) 80 , d ) 88 , e ) 90
b
divide(subtract(power(22, const_2), 386), const_2)
power(n0,const_2)|subtract(#0,n1)|divide(#1,const_2)|
general
What is the correct answer among five choices?
"largest 4 - digit number = 9999 88 ) 9999 ( 113 88 - - - - 119 88 - - - - 319 264 - - - 55 - - - required number = ( 9999 - 55 ) = 9944 . e )"
a ) 9934 , b ) 9938 , c ) 9940 , d ) 9942 , e ) 9944
e
square_area(const_pi)
square_area(const_pi)|
general
What is the correct answer among five choices?
"round trip means 2 trips i . e . to and fro . he has completed one i . e 50 % completed . then he traveled another 80 % of 50 % i . e 40 % . so he completed 50 + 40 = 90 % of total trip . e"
a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90
e
add(divide(const_100, const_2), divide(multiply(80, divide(const_100, const_2)), const_100))
divide(const_100,const_2)|multiply(n0,#0)|divide(#1,const_100)|add(#0,#2)|
gain
What is the correct answer among five choices?
"( - 2 ) ^ ( 2 m ) = 4 ^ m and 2 ^ ( 15 - m ) = 4 ^ ( ( 15 - m ) / 2 ) therefore , m = ( 15 - m ) / 2 2 m = 15 - m m = 5 answer d"
a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 6
d
divide(15, add(2, const_1))
add(n0,const_1)|divide(n3,#0)|
general
What is the correct answer among five choices?
"perimeter = distance covered in 10 min . = ( 15000 x 8 ) / 60 m = 2000 m . let length = 3 x metres and breadth = 4 x metres . then , 2 ( 3 x + 4 x ) = 2000 or x = 142.86 . length = 428.58 m and breadth = 571.44 m . area = ( 428.58 x 571.44 ) m 2 = 244907.76 m a"
a ) 244907.04 m , b ) 244000 m , c ) 244900 m , d ) 400000 m , e ) 154300 m
a
rectangle_area(divide(divide(multiply(multiply(divide(15, multiply(const_10, multiply(const_3, const_2))), 10), const_1000), add(3, 4)), const_2), multiply(divide(divide(multiply(multiply(divide(15, multiply(const_10, multiply(const_3, const_2))), 10), const_1000), add(3, 4)), const_2), 4))
add(n0,n1)|multiply(const_2,const_3)|multiply(#1,const_10)|divide(n2,#2)|multiply(n3,#3)|multiply(#4,const_1000)|divide(#5,#0)|divide(#6,const_2)|multiply(n1,#7)|rectangle_area(#7,#8)|
physics
What is the correct answer among five choices?
"let the shares for a , b , and c be x , 2 x , and 4 x respectively . 7 x = 378 x = 54 4 x = 216 the answer is c ."
a ) $ 200 , b ) $ 208 , c ) $ 216 , d ) $ 224 , e ) $ 232
c
multiply(divide(378, add(add(divide(const_1, const_2), const_1), const_2)), const_2)
divide(const_1,const_2)|add(#0,const_1)|add(#1,const_2)|divide(n0,#2)|multiply(#3,const_2)|
general
What is the correct answer among five choices?
"cost of 8 kg grapes = 75 Γ— 8 = 600 . cost of 9 kg of mangoes = 55 Γ— 9 = 495 . total cost he has to pay = 600 + 495 = 1095 . e )"
a ) a ) 1000 , b ) b ) 1055 , c ) c ) 1065 , d ) d ) 1075 , e ) e ) 1095
e
add(multiply(8, 75), multiply(9, 55))
multiply(n0,n1)|multiply(n2,n3)|add(#0,#1)|
gain
What is the correct answer among five choices?
"let x be the side length of square a . then the area of square a is x ^ 2 . the area of square b is ( sqrt ( 5 ) x ) ^ 2 = 5 x ^ 2 . the answer is e ."
a ) 1.5 , b ) 2 , c ) 3 , d ) 4 , e ) 5
e
power(sqrt(5), const_2)
sqrt(n0)|power(#0,const_2)|
geometry
What is the correct answer among five choices?
"let ' s say that the total original mixture a is 100 ml the original mixture a thus has 50 ml of alcohol out of 100 ml of solution you want to replace some of that original mixture a with another mixture b that contains 25 ml of alcohol per 100 ml . thus , the difference between 50 ml and 25 ml is 25 ml per 100 ml of ...
a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 3 / 5
e
inverse(add(divide(subtract(35, 25), subtract(50, 35)), const_1))
subtract(n2,n1)|subtract(n0,n2)|divide(#0,#1)|add(#2,const_1)|inverse(#3)|
other
What is the correct answer among five choices?
"let x be the amount of money paid for the first purchase . the second time , the customer paid 0.8 ( 1.2 x ) = 0.96 x . the difference is 4 % . the answer is d ."
a ) 10 % , b ) 8 % , c ) 6 % , d ) 4 % , e ) 2 %
d
multiply(subtract(const_1, multiply(add(divide(20, const_100), const_1), divide(80, const_100))), const_100)
divide(n0,const_100)|divide(n1,const_100)|add(#0,const_1)|multiply(#2,#1)|subtract(const_1,#3)|multiply(#4,const_100)|
general
What is the correct answer among five choices?
amount left = 0.5 x βˆ’ 4 for fifth store this is zero . so x = 8 . that means he entered fifth store with 8 . now for fourth store , amount left = 8 so 0.5 x βˆ’ 4 = 8 β‡’ x = 24 for third store , amount left = 24 so 12 x βˆ’ 4 = 24 β‡’ x = 56 for second store , amount left = 56 so 0.5 x βˆ’ 4 = 56 β‡’ x = 120 for first store , amo...
a ) 248 , b ) 120 , c ) 252 , d ) 250 , e ) 350
a
multiply(add(multiply(add(multiply(add(multiply(add(multiply(4, const_2), 4), const_2), 4), const_2), 4), const_2), 4), const_2)
multiply(n1,const_2)|add(n1,#0)|multiply(#1,const_2)|add(n1,#2)|multiply(#3,const_2)|add(n1,#4)|multiply(#5,const_2)|add(n1,#6)|multiply(#7,const_2)
general
What is the correct answer among five choices?
"area of the poster is 2.4 x 2.4 = 5.76 1 / 2 the area = 2.88 pi * r ^ 2 = 2.88 r ^ 2 = 2.88 / pi r = sqrt ( 2.88 / pi ) answer ( b )"
a ) 1 / pi , b ) sqrt ( 2.88 / pi ) , c ) 1 , d ) 2 / sqrt ( pi ) , e ) pi / 2
b
sqrt(divide(divide(square_area(2.4), 2), const_pi))
square_area(n0)|divide(#0,n2)|divide(#1,const_pi)|sqrt(#2)|
geometry
What is the correct answer among five choices?
"5359 x 51 = 5359 x ( 50 + 1 ) = 5359 x 50 + 5359 x 1 = 267950 + 5359 = 273309 e )"
a ) 273232 , b ) 273243 , c ) 273247 , d ) 273250 , e ) 273309
e
multiply(divide(5359, 51), const_100)
divide(n0,n1)|multiply(#0,const_100)|
general
What is the correct answer among five choices?
original share of 1 person = 1 / 3 new share of 1 person = 1 / 2 increase = ( 1 / 2 - 1 / 3 = 1 / 6 ) therefore , required fraction = ( 1 / 6 ) / ( 1 / 3 ) = ( 1 / 6 ) x ( 3 / 1 ) = 1 / 2 answer is a .
a ) 1 / 2 , b ) 2 / 7 , c ) 3 / 2 , d ) 4 / 7 , e ) none of them
a
divide(subtract(divide(const_1, const_2), divide(const_1, 3)), divide(const_1, 3))
divide(const_1,const_2)|divide(const_1,n0)|subtract(#0,#1)|divide(#2,#1)
general
What is the correct answer among five choices?
solution relative speed = ( 45 - 40 ) kmph = 5 kmph = ( 5 x 5 / 18 ) m / sec = ( 25 / 18 ) m / sec time taken = ( 350 x 18 / 25 ) sec = 252 sec . answer d
a ) 72 sec , b ) 132 sec , c ) 192 sec , d ) 252 sec , e ) none
d
multiply(const_3600, divide(divide(add(200, 150), const_1000), subtract(45, 40)))
add(n0,n1)|subtract(n3,n2)|divide(#0,const_1000)|divide(#2,#1)|multiply(#3,const_3600)
physics
What is the correct answer among five choices?
"l . c . m of 15 and 12 = 60 cp of 60 articles = rs . 100 ( 25 * 4 ) sp of 60 articles = rs . 175 ( 35 * 5 ) profit percentage = ( 175 - 100 ) / 100 * 100 = 75 % answer : c"
a ) 80 % , b ) 50 % , c ) 75 % , d ) 40 % , e ) 53 %
c
subtract(multiply(35, add(const_4, const_1)), multiply(25, const_4))
add(const_1,const_4)|multiply(n1,const_4)|multiply(n3,#0)|subtract(#2,#1)|
gain
What is the correct answer among five choices?
"required number = ( 75 / 2 ) / ( 1 / 8 ) = ( 75 / 2 x 8 / 1 ) = 300 . answer : a"
a ) 300 , b ) 400 , c ) 500 , d ) 600 , e ) 700
a
divide(add(37, divide(1, 2)), divide(1, 8))
divide(n0,n4)|divide(n0,n1)|add(n2,#0)|divide(#2,#1)|
general
What is the correct answer among five choices?
"suppose q can drain in 1 hr . so , rq = 1 / 1 = 1 so , rp = 1 / [ ( 2 / 4 ) rq ] = 4 / 2 also , rp = rr / ( 2 / 3 ) = > 2 = rr / ( 2 / 3 ) = > rr = 4 / 3 let h is the time it takes to drain by running all 3 pipes simultaneously so combined rate = rc = 1 / h = 1 + 2 + 4 / 3 = 13 / 3 = 1 / ( 3 / 13 ) thus running simult...
a ) 3 / 13 , b ) 8 / 23 , c ) 3 / 8 , d ) 17 / 29 , e ) 3 / 4
a
divide(multiply(2, 2), add(multiply(multiply(4, 2), const_2), multiply(2, 2)))
multiply(n0,n0)|multiply(n0,n1)|multiply(#1,const_2)|add(#2,#0)|divide(#0,#3)|
physics
What is the correct answer among five choices?
"look at the diagram below : now , in case when qy is perpendicular to pr , two right triangles pqr and pqy are similar : qy : qp = qr : pr - - > qy : 5 = 8 : 10 - - > qy = 4.0 . answer : c ."
a ) 3.6 cm , b ) 2.4 cm , c ) 4.0 cm , d ) 2.16 cm , e ) 3.2 cm
c
divide(multiply(5, 8), const_10)
multiply(n1,n2)|divide(#0,const_10)|
geometry
What is the correct answer among five choices?
"explanation : average after 11 innings = 24 required number of runs = ( 24 * 11 ) – ( 20 * 10 ) = 264 – 200 = 64 answer : c"
a ) 22 , b ) 77 , c ) 64 , d ) 19 , e ) 17
c
subtract(multiply(add(10, const_1), add(20, 4)), multiply(20, 10))
add(n0,const_1)|add(n1,n2)|multiply(n0,n1)|multiply(#0,#1)|subtract(#3,#2)|
general
What is the correct answer among five choices?
"ratio of the capitals of a , b and c = 20000 Γ£ β€” 10 + 15000 Γ£ β€” 2 : 20000 Γ£ β€” 10 + 16000 Γ£ β€” 2 : 20000 Γ£ β€” 10 + 26000 Γ£ β€” 2 = 230000 : 232000 : 252000 = 230 : 232 : 252 . b Γ’ € β„’ s share = ( 71400 Γ£ β€” 232 Γ’  β€ž 714 ) = 23200 ; answer c"
a ) 20,000 , b ) 21,200 , c ) 23,200 , d ) 20,500 , e ) none of these
c
divide(add(multiply(subtract(const_12, 10), 4000), multiply(multiply(const_2, multiply(const_100, const_100)), 10)), multiply(const_100, const_10))
multiply(const_100,const_100)|multiply(const_10,const_100)|subtract(const_12,n1)|multiply(n3,#2)|multiply(#0,const_2)|multiply(n1,#4)|add(#3,#5)|divide(#6,#1)|
gain
What is the correct answer among five choices?
"the number of terms in this set would be : n = ( k - 1 ) / 2 ( as k is odd ) last term : k - 1 average would be first term + last term / 2 = ( 2 + k - 1 ) / 2 = ( k + 1 ) / 2 also average : sum / number of terms = 79 * 80 / ( ( k - 1 ) / 2 ) = 158 * 80 / ( k - 1 ) ( k + 1 ) / 2 = 158 * 80 / ( k - 1 ) - - > ( k - 1 ) (...
a ) 79 , b ) 80 , c ) 81 , d ) 157 , e ) 159
e
add(multiply(79, const_2), 1)
multiply(n1,const_2)|add(#0,n0)|
general
What is the correct answer among five choices?
"speed = 78 * 5 / 18 = 21.7 m / sec total distance covered = 125 + 125 = 250 m . required time = 250 / 21.7 ' = 11.5 sec . answer : c"
a ) 12.7 sec , b ) 10.1 sec , c ) 11.5 sec , d ) 12.1 sec , e ) 11.7 sec
c
divide(add(125, 125), multiply(78, const_0_2778))
add(n0,n2)|multiply(n1,const_0_2778)|divide(#0,#1)|
physics
What is the correct answer among five choices?
ele , the circus elephant , is currently three times older than lyn , the circus lion . ele = 3 * lyn usually , ages are integers so there is a good possibility that the age of ele is 45 ( the only option that is a multiple of 3 ) . then age of lyn would be 15 . in 15 yrs , ele would be 60 and lyn would be 30 - so lyn ...
a ) 40 , b ) 48 , c ) 43 , d ) 45 , e ) 41
d
multiply(subtract(multiply(const_2, 15), 15), 3)
multiply(n1,const_2)|subtract(#0,n1)|multiply(n0,#1)
general
What is the correct answer among five choices?
"explanation : let ' s son age is x , then father age is x + 30 . = > 2 ( x + 2 ) = ( x + 30 + 2 ) = > 2 x + 4 = x + 32 = > x = 28 years option a"
a ) 28 years , b ) 22 years , c ) 23 years , d ) 24 years , e ) 26 years
a
divide(subtract(30, subtract(multiply(const_2, const_2), const_2)), subtract(const_2, const_1))
multiply(const_2,const_2)|subtract(const_2,const_1)|subtract(#0,const_2)|subtract(n0,#2)|divide(#3,#1)|
general
What is the correct answer among five choices?
"total land of sukhiya = \ inline \ frac { 480 x } { 0.6 } = 800 x \ therefore cultivated land of village = 394000 x \ therefore required percentage = \ inline \ frac { 800 x } { 394000 } \ times 100 = 0.20304 e"
a ) 0.20833 , b ) 0.14544 , c ) 0.25632 , d ) 0.35466 , e ) 0.20304
e
multiply(divide(divide(480, divide(60, const_100)), add(multiply(multiply(3, const_100), const_1000), multiply(add(multiply(const_4, const_10), const_4), const_1000))), const_100)
divide(n0,const_100)|multiply(n1,const_100)|multiply(const_10,const_4)|add(#2,const_4)|divide(n3,#0)|multiply(#1,const_1000)|multiply(#3,const_1000)|add(#5,#6)|divide(#4,#7)|multiply(#8,const_100)|
general
What is the correct answer among five choices?
"speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 110 + x ) / 30 = 25 / 2 = = > 2 ( 110 + x ) = 750 = = > x = 265 m . answer : option a"
a ) 265 , b ) 244 , c ) 245 , d ) 238 , e ) 236
a
subtract(multiply(divide(multiply(45, speed(const_1000, const_1)), speed(const_3600, const_1)), 30), 110)
speed(const_1000,const_1)|speed(const_3600,const_1)|multiply(n1,#0)|divide(#2,#1)|multiply(n2,#3)|subtract(#4,n0)|
physics
What is the correct answer among five choices?
"let the distance one way be x time from home to work = x / 60 time from work to home = x / 100 total time = 2 hrs ( x / 60 ) + ( x / 100 ) = 2 solving for x , we get x = 75 time from home to work in minutes = ( 75 ) * 60 / 60 = 75 minutes ans = d"
a ) 66 , b ) 70 , c ) 72 , d ) 75 , e ) 78
d
multiply(divide(multiply(100, 2), add(60, 100)), const_60)
add(n0,n1)|multiply(n1,n2)|divide(#1,#0)|multiply(#2,const_60)|
physics
What is the correct answer among five choices?
"area of square = pi * radius ^ 2 new radius = 0.5 * old radius so new area = ( 0.5 ) ^ 2 old area = > 0.25 of old area = > 25 % old area ans : c"
a ) 10 % decrease , b ) 20 % decrease , c ) 75 % decrease , d ) 40 % decrease , e ) 50 % decrease
c
subtract(const_100, multiply(power(divide(50, const_100), const_2), const_100))
divide(n0,const_100)|power(#0,const_2)|multiply(#1,const_100)|subtract(const_100,#2)|
geometry
What is the correct answer among five choices?
"solution ratio of times taken by sakshi and tanya = 125 : 100 = 5 : 4 . suppose tanya taken x days to do the work . 5 : 4 : : 30 : x β‡’ x = ( 30 x 4 / 5 ) β‡’ x = 24 days . hence , tanya takes 16 days is complete the work . answer c"
a ) 15 , b ) 16 , c ) 14 , d ) 25 , e ) 10
c
divide(30, add(const_1, divide(25, const_100)))
divide(n1,const_100)|add(#0,const_1)|divide(n0,#1)|
physics
What is the correct answer among five choices?
"3 ^ 8 - 1 = ( 3 ^ 4 - 1 ) ( 3 ^ 4 + 1 ) = 80 * 82 = 8 * 10 * 2 * 41 the answer is d ."
a ) 29 , b ) 31 , c ) 37 , d ) 41 , e ) 43
d
floor(divide(3, divide(8, const_2)))
divide(n1,const_2)|divide(n0,#0)|floor(#1)|
general
What is the correct answer among five choices?
"explanation : 90 x = 60 y x : y = 90 : 60 = 3 : 2 answer : c"
a ) 1 : 2 , b ) 3 : 5 , c ) 3 : 2 , d ) 3 : 4 , e ) 5 : 2
c
divide(90, 60)
divide(n0,n1)|
general
What is the correct answer among five choices?
"1 / 2 * 50 ( 15 + 5 ) = 500 cm 2 answer : e"
a ) 100 cm 2 , b ) 150 cm 2 , c ) 200 cm 2 , d ) 250 cm 2 , e ) 500 cm 2
e
multiply(multiply(divide(const_1, const_2), add(5, 15)), 50)
add(n1,n2)|divide(const_1,const_2)|multiply(#0,#1)|multiply(n0,#2)|
geometry
What is the correct answer among five choices?
"speed = 78 * 5 / 18 = 65 / 3 m / sec . time = 1 min = 60 sec . let the length of the train be x meters . then , ( 1200 + x ) / 60 = 65 / 3 x = 100 m . answer : d"
a ) 2898 , b ) 277 , c ) 500 , d ) 100 , e ) 435
d
divide(1200, multiply(subtract(78, 1), const_0_2778))
subtract(n1,n2)|multiply(#0,const_0_2778)|divide(n0,#1)|
physics
What is the correct answer among five choices?
"7 + 11 + 13 + 17 + 19 = 67 / 5 = 13.40 answer : a"
a ) 13.4 , b ) 12.26 , c ) 12.3 , d ) 32.8 , e ) 32.4
a
add(5, const_1)
add(n0,const_1)|
general
What is the correct answer among five choices?
edge of the cube = 3 √ 334 = 7 cm ∴ radius of cone = 3.5 cm height = 7 cm volume of cone = 1 ⁄ 3 Ο€ r 2 h 1 ⁄ 3 Ο€ r 2 h = 1 ⁄ 3 Γ— 22 ⁄ 7 Γ— ( 3.5 ) 2 Γ— 7 = 1 ⁄ 3 Γ— 22 Γ— 12.25 β‰ˆ 90 sec answer b
['a ) 80 cc', 'b ) 90 cc', 'c ) 110 cc', 'd ) 105 cc', 'e ) 100 cc']
b
volume_cone(divide(cube_edge_by_volume(343), const_2), cube_edge_by_volume(343))
cube_edge_by_volume(n0)|divide(#0,const_2)|volume_cone(#1,#0)
geometry
What is the correct answer among five choices?
"here , l = 7 and m = 28 therefore , first number = l / m x 100 % of second number = 7 / 28 x 100 % of second number = 25 % of second number answer : b"
a ) 20 % , b ) 25 % , c ) 18 % , d ) 30 % , e ) none of these
b
multiply(divide(divide(7, const_100), divide(28, const_100)), const_100)
divide(n0,const_100)|divide(n1,const_100)|divide(#0,#1)|multiply(#2,const_100)|
gain
What is the correct answer among five choices?
"let there be x pupils in the class . total increase in marks = ( x * 1 / 2 ) = x / 2 x / 2 = ( 83 - 53 ) = > x / 2 = 30 = > x = 60 . answer : c"
a ) 18 , b ) 82 , c ) 60 , d ) 27 , e ) 29
c
multiply(subtract(83, 53), const_2)
subtract(n0,n1)|multiply(#0,const_2)|
general
What is the correct answer among five choices?
area of rectangle = 20 x 10 = 200 cm Γ’ Β² let ' l ' the length of other diagonal = 0.5 x 32 xl = 200 which gives x = 12.5 cm answer : b
['a ) 10', 'b ) 12.5', 'c ) 15', 'd ) 16', 'e ) 17.5']
b
divide(multiply(rectangle_area(20, 10), const_2), 32)
rectangle_area(n0,n1)|multiply(#0,const_2)|divide(#1,n2)
geometry
What is the correct answer among five choices?
p - 2160 = ( p * 5 * 4 ) / 100 p = 2700 answer : c
a ) 1500 , b ) 2500 , c ) 2700 , d ) 3200 , e ) 11500
c
divide(2160, subtract(const_1, divide(multiply(4, 5), const_100)))
multiply(n0,n1)|divide(#0,const_100)|subtract(const_1,#1)|divide(n2,#2)
gain
What is the correct answer among five choices?
"for 40 hrs = 40 * 16 = 640 excess = 948 - 640 = 308 for extra hours = . 75 ( 16 ) = 12 + 16 = 28 number of extra hrs = 308 / 28 = 77 / 7 = 11 total hrs = 40 + 11 = 51 answer e 51"
a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 51
e
add(40, divide(subtract(948, multiply(16, 40)), divide(multiply(16, add(const_100, 75)), const_100)))
add(n3,const_100)|multiply(n0,n1)|multiply(n0,#0)|subtract(n4,#1)|divide(#2,const_100)|divide(#3,#4)|add(n1,#5)|
general
What is the correct answer among five choices?
"assume that the equation of the line is y = mx + c , where m and c are the slope and y - intercept . you are also given that the line crosses the point ( - 12 , - 39 ) , this means that this point will also lie on the line above . thus you get - 39 = m * ( - 12 ) + c , with m = 3 / 4 as the slope is given to be 3 / 4 ...
a ) ( 40,0 ) , b ) ( 30,0 ) , c ) ( 0,40 ) , d ) ( 40,30 ) , e ) ( 0,30 )
a
multiply(negate(divide(subtract(negate(39), multiply(negate(12), divide(3, 4))), divide(3, 4))), const_10)
divide(n0,n1)|negate(n3)|negate(n2)|multiply(#0,#2)|subtract(#1,#3)|divide(#4,#0)|negate(#5)|multiply(#6,const_10)|
general
What is the correct answer among five choices?
let his total sales be x total sales - commission = $ 31100 x - [ ( 5 % of 10000 ) + 4 % of ( x - 10000 ) ] = 31100 x - 500 - ( x - 10000 ) / 25 = 31100 x = 32500 answer is b
a ) $ 30000 , b ) $ 32500 , c ) $ 35120 , d ) $ 41520 , e ) $ 25460
b
divide(add(31100, subtract(divide(multiply(5, 10000), const_100), divide(multiply(4, 10000), const_100))), subtract(const_1, divide(4, const_100)))
divide(n2,const_100)|multiply(n0,n1)|multiply(n1,n2)|divide(#1,const_100)|divide(#2,const_100)|subtract(const_1,#0)|subtract(#3,#4)|add(n3,#6)|divide(#7,#5)
general
What is the correct answer among five choices?
( 60 / 100 ) * 50 – ( 34 / 100 ) * 30 30 - 10.2 = 19.8 answer : b
a ) 18 , b ) 19.8 , c ) 11 , d ) 17 , e ) 12
b
subtract(divide(multiply(60, 50), const_100), divide(multiply(34, 30), const_100))
multiply(n0,n1)|multiply(n2,n3)|divide(#0,const_100)|divide(#1,const_100)|subtract(#2,#3)
gain
What is the correct answer among five choices?
"m = 5 s = 2 ds = 7 us = 3 x / 7 + x / 3 = 1 x = 2.1 d = 2.1 * 2 = 4.2 answer : d"
a ) 5.75 , b ) 5.7 , c ) 5.76 , d ) 4.2 , e ) 5.71
d
multiply(divide(multiply(add(5, 2), subtract(5, 2)), add(add(5, 2), subtract(5, 2))), const_2)
add(n0,n1)|subtract(n0,n1)|add(#0,#1)|multiply(#0,#1)|divide(#3,#2)|multiply(#4,const_2)|
physics
What is the correct answer among five choices?
d = 200 + 180 = 380 m s = 60 * 5 / 18 = 50 / 3 t = 380 * 3 / 50 = 22.8 sec answer : c
a ) 36.7 , b ) 26.8 , c ) 22.8 , d ) 21.1 , e ) 16.2
c
divide(add(200, 180), multiply(60, const_0_2778))
add(n0,n2)|multiply(n1,const_0_2778)|divide(#0,#1)
physics
What is the correct answer among five choices?
solving the two equations , we get : l = 30 and b = 40 . area = ( l x b ) = ( 30 x 40 ) m 2 = 1200 m ^ 2 d
['a ) 2400 m ^ 2', 'b ) 1500 m ^ 2', 'c ) 2520 m ^ 2', 'd ) 1200 m ^ 2', 'e ) 2580 m ^ 2']
d
multiply(multiply(10, const_4), multiply(10, const_3))
multiply(n0,const_4)|multiply(n0,const_3)|multiply(#0,#1)
geometry
What is the correct answer among five choices?
"1370 - 50 * ( 5 ^ 0 ) = 1320 1320 - 50 * ( 5 ^ 1 ) = 1070 1070 - 50 * ( 5 ^ 2 ) = - 180 - 180 - 50 * ( 5 ^ 3 ) = - 6430 answer : a ."
a ) 1070 , b ) 6530 , c ) 6630 , d ) 6730 , e ) 6830
a
subtract(negate(6430), multiply(subtract(1320, 180), divide(subtract(1320, 180), subtract(1370, 1320))))
negate(n3)|subtract(n1,n2)|subtract(n0,n1)|divide(#1,#2)|multiply(#3,#1)|subtract(#0,#4)|
general
What is the correct answer among five choices?
"machine y produces 20 percent more widgets in an hour than machine x does in an hour . so if machine x produces 100 widgets , then machine y produces 120 widgets . ratio of 120 / 100 = 6 / 5 . this is their speed of work ( y : x ) . i . e . speed of their work ( x : y ) = 5 / 6 now , time is inversely proportional to ...
a ) 100 , b ) 3.6 , c ) 25 , d ) 11 , e ) 9
b
divide(1080, multiply(divide(50, const_10), 50))
divide(n0,const_10)|multiply(n0,#0)|divide(n1,#1)|
general
What is the correct answer among five choices?
"factorization of 45 = 3 * 3 * 5 factorization of 80 = 5 * 2 ^ 4 means the smallest value of k is \ sqrt { 3 ^ 2 * 5 * 2 ^ 4 } = 3 * 5 * 2 ^ 2 k ^ 3 = 3 ^ 3 * 5 ^ 3 * 2 ^ 6 * x = 3 ^ 3 * 2 * 4000 * x where x can be any integer k ^ 3 / 4000 = 3 ^ 3 * 2 * x = 54 x which obviously has different units digit depending on x ...
a ) 0 , b ) 1 , c ) 27 , d ) 54 , e ) can not be determined
d
divide(multiply(multiply(multiply(3, 2), multiply(3, 2)), multiply(3, 2)), const_4)
multiply(n6,n9)|multiply(#0,#0)|multiply(#1,#0)|divide(#2,const_4)|
general
What is the correct answer among five choices?
make r = 10 p = 0.6 r = 6 q = 0.8 p = 4.8 s = 0.6 p = 3.6 for that we get s = 7.6 and q 10.8 so 10.8 / 7.6 = 2.7 / 1.9 ans : e
a ) 11 / 12 , b ) 13 / 17 , c ) 13 / 19 , d ) 12 / 19 , e ) 27 / 19
e
divide(add(multiply(60, const_100), multiply(60, subtract(const_100, 20))), add(multiply(40, const_100), multiply(add(40, 20), 60)))
add(n0,n1)|multiply(n4,const_100)|multiply(n0,const_100)|subtract(const_100,n1)|multiply(n4,#3)|multiply(n4,#0)|add(#1,#4)|add(#2,#5)|divide(#6,#7)
general
What is the correct answer among five choices?
"let p = 3 , q = 7 then 2 * 3 + 7 = 13 so 2 p + q = 13 . answer : c"
a ) 12 , b ) 14 , c ) 13 , d ) 15 , e ) 16
c
add(multiply(3, 2), 7)
multiply(n0,n2)|add(n1,#0)|
general
What is the correct answer among five choices?
"# defective pens = 2 # good pens = 7 probability of the 1 st pen being good = 7 / 9 probability of the 2 nd pen being good = 6 / 8 total probability = 7 / 9 * 6 / 8 = 7 / 12 the answer is d ."
a ) 4 / 7 , b ) 5 / 9 , c ) 6 / 11 , d ) 7 / 12 , e ) 8 / 15
d
multiply(divide(subtract(9, 2), 9), divide(subtract(subtract(9, 2), const_1), subtract(9, const_1)))
subtract(n0,n1)|subtract(n0,const_1)|divide(#0,n0)|subtract(#0,const_1)|divide(#3,#1)|multiply(#2,#4)|
general
What is the correct answer among five choices?
"explanation : let the numbers be x and y according to the problem x + y = 63 x - y = 1 / 8 ( x + y ) x - y = 1 / 8 * 63 , x - y = 9 2 x = 72 , x = 36 and y = 27 l . c . m of 36 and 27 is 351 answer : option c"
a ) 231 , b ) 153 , c ) 351 , d ) 345 , e ) 355
c
subtract(63, divide(subtract(63, divide(1, const_2)), const_2))
divide(n1,const_2)|subtract(n0,#0)|divide(#1,const_2)|subtract(n0,#2)|
general
What is the correct answer among five choices?
"explanation : let the required no of hours be x . then less men , more hours ( indirct proportion ) \ inline \ fn _ jvn \ therefore 15 : 36 : : 25 : x \ inline \ fn _ jvn \ leftrightarrow ( 15 x x ) = ( 36 x 25 ) \ inline \ fn _ jvn \ leftrightarrow \ inline \ fn _ jvn x = \ frac { 36 \ times 25 } { 15 } = 60 hence , ...
a ) 22 , b ) 38 , c ) 60 , d ) 88 , e ) 72
c
divide(multiply(36, 25), 15)
multiply(n0,n1)|divide(#0,n2)|
physics
What is the correct answer among five choices?
"d 5 % increase in 10 years = ( 262500 - 175000 ) = 87500 . increase % = ( 87500 / 175000 x 100 ) % = 50 % . required average = ( 50 / 10 ) % = 5 % ."
a ) 1 % , b ) 2 % , c ) 3 % , d ) 5 % , e ) 4 %
d
add(multiply(divide(subtract(divide(subtract(subtract(subtract(multiply(multiply(const_10, const_1000), const_10), const_1000), const_1000), multiply(add(2, const_3), const_100)), multiply(add(multiply(add(const_3, const_4), const_10), add(2, const_3)), const_1000)), 1), const_10), const_100), const_4)
add(n2,const_3)|add(const_3,const_4)|multiply(const_10,const_1000)|multiply(#2,const_10)|multiply(#0,const_100)|multiply(#1,const_10)|add(#0,#5)|subtract(#3,const_1000)|multiply(#6,const_1000)|subtract(#7,const_1000)|subtract(#9,#4)|divide(#10,#8)|subtract(#11,n0)|divide(#12,const_10)|multiply(#13,const_100)|add(#14,co...
general
What is the correct answer among five choices?
let the lowest price be x . therefore , highest price is x + 100 . now price of each variety is increased by 10 % . therefore the price will remain arranged in the same order as before . or lowest price = 1.1 x and highest = 1.1 * ( x + 100 ) or range = highest - lowest = 1.1 * ( x + 100 ) - 1.1 x = 110 , hence , c
a ) $ 50 , b ) $ 100 , c ) $ 110 , d ) $ 600 , e ) $ 300
c
multiply(100, divide(add(10, const_100), const_100))
add(n3,const_100)|divide(#0,const_100)|multiply(n0,#1)
general
What is the correct answer among five choices?
"explanation : let the c . p . of the article be rs . x given that % profit earned by selling article at rs . 1920 = % loss incurred by selling article at rs . 1280 ( 1920 βˆ’ x / x ) βˆ— 100 = ( x βˆ’ 1280 / x ) βˆ— 100 = > 1920 - x = x - 1280 = > 2 x = 3200 = > x = 1600 s . p . for 25 % profit = rs . 1600 + 25 % of rs . 1600...
a ) rs . 2000 , b ) rs . 2200 , c ) rs . 2400 , d ) data inadequate , e ) can not be determined
a
multiply(divide(add(const_100, 25), const_100), divide(add(1920, 1280), const_2))
add(n2,const_100)|add(n0,n1)|divide(#0,const_100)|divide(#1,const_2)|multiply(#2,#3)|
gain
What is the correct answer among five choices?
the tailors would need to cut the fabric 49 times thus the total amount spent would be 245 minutes . the answer is d
a ) 150 , b ) 200 , c ) 188 , d ) 245 , e ) 123
d
multiply(subtract(divide(multiply(10, const_1000), 200), const_1), 5)
multiply(n0,const_1000)|divide(#0,n1)|subtract(#1,const_1)|multiply(n3,#2)
physics
What is the correct answer among five choices?
"answer = 60 / 42 * 4 = 60 / 168 = 0.3571 option d is correct"
a ) 14.7653 , b ) 0.5897 , c ) 3.6974 , d ) 0.3571 , e ) 1.2587
d
divide(60, 42)
divide(n0,n1)|
general
What is the correct answer among five choices?
"there are five prime numbers between 30 and 50 . they are 31,37 , 41,43 and 47 . therefore the required average = ( 31 + 37 + 41 + 43 + 47 ) / 5  199 / 5  39.8 answer c 39.8"
a ) 18.9 , b ) 19.8 , c ) 39.8 , d ) 29.8 , e ) 20.8
c
divide(add(add(add(30, const_1), add(add(30, const_1), const_2)), add(subtract(50, 30), subtract(50, const_2))), 30)
add(n0,const_1)|subtract(n1,n0)|subtract(n1,const_2)|add(#0,const_2)|add(#1,#2)|add(#0,#3)|add(#5,#4)|divide(#6,n0)|
general
What is the correct answer among five choices?
"let the total number of votes polled in the election be 100 k . number of valid votes = 100 k - 20 % ( 100 k ) = 80 k let the number of votes polled in favour of a and b be a and b respectively . a - b = 15 % ( 100 k ) = > a = b + 15 k = > a + b = b + 15 k + b now , 2 b + 15 k = 80 k and hence b = 32.5 k it is given t...
a ) 1534 , b ) 2999 , c ) 2834 , d ) 2777 , e ) 2991
a
divide(subtract(multiply(subtract(const_1, divide(20, const_100)), 4720), divide(multiply(15, 4720), const_100)), const_2)
divide(n1,const_100)|multiply(n0,n2)|divide(#1,const_100)|subtract(const_1,#0)|multiply(n2,#3)|subtract(#4,#2)|divide(#5,const_2)|
general
What is the correct answer among five choices?
"worker b will get 11 / 16 = 68.75 % the answer is d ."
a ) 62.45 % , b ) 64.55 % , c ) 66.65 % , d ) 68.75 % , e ) 70.85 %
d
divide(1088, add(5, 11))
add(n1,n2)|divide(n0,#0)|
other
What is the correct answer among five choices?
"20 + 24 + 6 * 2 = 56 / 2 = 28 answer : e"
a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28
e
divide(add(add(20, 24), multiply(6, 2)), const_2)
add(n2,n3)|multiply(n0,n1)|add(#0,#1)|divide(#2,const_2)|
general
What is the correct answer among five choices?
official solution : ( b ) we know that a # b = 100 and a # b = 4 a Β² + 4 b Β² + 8 ab . so 4 a Β² + 4 b Β² + 8 ab = 100 we can see that 4 a Β² + 4 b Β² + 8 ab is a well - known formula for ( 2 a + 2 b ) Β² . therefore ( 2 a + 2 b ) Β² = 100 . ( 2 a + 2 b ) is non - negative number , since both a and b are non - negative number...
a ) 5 , b ) 9 , c ) 10 , d ) 13 , e ) 17
b
add(sqrt(divide(100, 4)), 4)
divide(n6,n0)|sqrt(#0)|add(n0,#1)
general
What is the correct answer among five choices?
"area = 5.5 Γ— 3.75 sq . metre . cost for 1 sq . metre . = $ 500 hence , total cost = 5.5 Γ— 3.75 Γ— 500 = $ 10312.50 a"
a ) $ 10312.50 , b ) $ 13512.50 , c ) $ 16512.50 , d ) $ 14512.50 , e ) $ 18512.50
a
multiply(500, multiply(5.5, 3.75))
multiply(n0,n1)|multiply(n2,#0)|
physics
What is the correct answer among five choices?
"we have : l = 20 ft and lb = 10 sq . ft . so , b = 0.5 ft . length of fencing = ( l + 2 b ) = ( 20 + 1 ) ft = 21 ft . answer : d"
a ) 34 , b ) 40 , c ) 68 , d ) 21 , e ) 78
d
add(multiply(divide(10, 20), const_2), 20)
divide(n1,n0)|multiply(#0,const_2)|add(n0,#1)|
geometry
What is the correct answer among five choices?
the problem asks for the approximate chance that no more than 1 / 3 of the original investment is lost . we can apply the β€œ 1 – x ” technique : what ’ s the chance that more than 1 / 3 of the original investment is lost ? there are two outcomes we have to separately measure : ( a ) all 3 investments become worthless . ...
a ) 90 % , b ) 80 % , c ) 70 % , d ) 60 % , e ) 40 %
a
subtract(add(multiply(20, const_2), multiply(20, 3)), const_10)
multiply(n1,const_2)|multiply(n0,n1)|add(#0,#1)|subtract(#2,const_10)
general
What is the correct answer among five choices?
"multiples of 4 less than 250 = { 4 , 8,12 , . . . . . . 248 } = 62 numbers multiples of 4 which are multiples of 3 too = { 12 , 24,36 . . . . . 240 } = 20 numbers so required number = 62 - 20 = 42 choice c"
a ) 20 , b ) 31 , c ) 42 , d ) 53 , e ) 64
c
divide(factorial(subtract(add(const_4, 4), const_1)), multiply(factorial(4), factorial(subtract(const_4, const_1))))
add(n1,const_4)|factorial(n1)|subtract(const_4,const_1)|factorial(#2)|subtract(#0,const_1)|factorial(#4)|multiply(#1,#3)|divide(#5,#6)|
general
What is the correct answer among five choices?
to get maximum vehicles we must take into consideration the minimum weight i . e 1600 pounds here since , 1 ton = 2000 pounds 50 tons will be 100,000 pounds from the answer choices : let max number of vehicles be 62 total weight will be = 62 * 1600 = 99200 pounds , which is lesser than the maximum weight allowed . ans ...
a ) 23 , b ) 41 , c ) 48 , d ) 62 , e ) 86
d
divide(multiply(multiply(50, const_2), const_1000), add(add(add(add(add(add(const_1000, const_100), const_100), const_100), const_100), const_100), const_100))
add(const_100,const_1000)|multiply(n0,const_2)|add(#0,const_100)|multiply(#1,const_1000)|add(#2,const_100)|add(#4,const_100)|add(#5,const_100)|add(#6,const_100)|divide(#3,#7)
general
What is the correct answer among five choices?
"d = 8 d d = d a √ 2 = 8 d a √ 2 = d a = 8 d / √ 2 a = d / √ 2 = > 8 : 1 answer : d"
a ) 3 : 6 , b ) 3 : 3 , c ) 3 : 8 , d ) 8 : 1 , e ) 3 : 2
d
divide(8, divide(8, 8))
divide(n0,n0)|divide(n0,#0)|
geometry
What is the correct answer among five choices?
bank balance is doubled with accumulation of interest tp 5080 . . this means interest is 5080 / 2 = 2540 for entire year . . although since interest is 10 % of avg monthly balance , it becomes 25400 . . d
a ) 2840 , b ) 5680 , c ) 6840 , d ) 25400 , e ) 28400
d
multiply(5080, divide(10, const_2))
divide(n0,const_2)|multiply(n1,#0)
general
What is the correct answer among five choices?
"speed of bus relative to woman = 21 + 3 = 24 km / hr . = 24 * 5 / 18 = 20 / 3 m / sec . time taken to pass the woman = 75 * 3 / 20 = 11.25 sec . answer : c"
a ) 5.75 , b ) 7.62 , c ) 11.25 , d ) 4.25 , e ) 3.25
c
divide(divide(multiply(75, const_3600), add(21, 3)), const_1000)
add(n1,n2)|multiply(n0,const_3600)|divide(#1,#0)|divide(#2,const_1000)|
physics
What is the correct answer among five choices?
"in real basic terms , we ' re asked to find all of the ' 3 s ' in 200 ! we can figure out that 200 / 3 = 66 , so we know that there are at least 66 ' 3 s ' in 200 ! while that answer is among the 5 choices , it seems a bit too ' easy ' , so let ' s do a bit more work and list out the first few numbers that we know hav...
a ) 88 , b ) 48 , c ) 66 , d ) 97 , e ) 39
d
multiply(floor(divide(power(const_10, 3), 200)), 200)
power(const_10,n0)|divide(#0,n1)|floor(#1)|multiply(n1,#2)|
other
What is the correct answer among five choices?
"explanation : ( 40 + 60 + 70 + 80 + 80 / 5 ) = 66 option a"
a ) 66 , b ) 75 , c ) 80 , d ) 85 , e ) 90
a
divide(add(add(add(add(40, 60), 70), 80), 80), add(const_4, const_1))
add(n0,n1)|add(const_1,const_4)|add(n2,#0)|add(n3,#2)|add(n4,#3)|divide(#4,#1)|
general
What is the correct answer among five choices?
"the time it takes bob to drive to city b is 100 / 40 = 2.5 hours . alice needs to take less than 2 hours for the trip . alice needs to exceed a constant speed of 100 / 2 = 50 miles per hour . the answer is c ."
a ) 45 , b ) 48 , c ) 50 , d ) 52 , e ) 54
c
divide(100, subtract(divide(100, 40), divide(30, const_60)))
divide(n0,n1)|divide(n2,const_60)|subtract(#0,#1)|divide(n0,#2)|
physics
What is the correct answer among five choices?
"on the first day 1 unit of orange juice and 1 unit of water was used to make 2 units of orangeade ; on the second day 1 unit of orange juice and 3 units of water was used to make 4 units of orangeade ; so , the ratio of the amount of orangeade made on the first day to the amount of orangeade made on the second day is ...
a ) $ 015 , b ) $ 0.20 , c ) $ 0.30 , d ) $ 0.40 , e ) $ 0.45
c
divide(multiply(add(const_1, const_1), 0.60), add(const_1, const_2))
add(const_1,const_1)|add(const_1,const_2)|multiply(n0,#0)|divide(#2,#1)|
general
What is the correct answer among five choices?
"d 7429 - 4358 = 3071 let 8597 - x = 3071 then , x = 8597 - 3071 = 5526"
a ) 3567 , b ) 6424 , c ) 6835 , d ) 5526 , e ) none of these
d
subtract(multiply(divide(8597, const_100), 7429), multiply(divide(const_1, const_3), multiply(divide(8597, const_100), 7429)))
divide(n0,const_100)|divide(const_1,const_3)|multiply(n1,#0)|multiply(#1,#2)|subtract(#2,#3)|
general
What is the correct answer among five choices?
"cant think of a straight approach but here is how i solved it : k is divided by 5 and remainder is 2 . this means k = 5 n + 2 ( n is an integer ) so the possible values of k = { 2 , 7 , 12 , 17 , 22 } ( less than 24 ) secondly , if k is divided by 6 , the remainder is 5 = > k = 6 m + 5 so the possible value set for k ...
a ) 2 , b ) 5 , c ) 6 , d ) 3 , e ) 8
d
reminder(add(const_12, 5), 7)
add(n0,const_12)|reminder(#0,n5)|
general
What is the correct answer among five choices?
"let c ' s age be x years . then , b ' s age = 2 x years . a ' s age = ( 2 x + 2 ) years . ( 2 x + 2 ) + 2 x + x = 32 5 x = 30 = > x = 6 hence , b ' s age = 2 x = 12 years . answer : e"
a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 12
e
multiply(divide(subtract(32, const_2), add(const_3, const_2)), const_2)
add(const_2,const_3)|subtract(n0,const_2)|divide(#1,#0)|multiply(#2,const_2)|
general
What is the correct answer among five choices?
"speed = 72 * 5 / 18 = 20 m / sec total distance covered = 110 + 132 = 242 m . required time = 242 / 20 = 12.1 sec . answer : b"
a ) 12.6 , b ) 12.0 , c ) 12.1 , d ) 12.3 , e ) 12.2
b
divide(add(110, 132), multiply(72, const_0_2778))
add(n0,n2)|multiply(n1,const_0_2778)|divide(#0,#1)|
physics
What is the correct answer among five choices?
"speed = ( 12 / 10 * 60 ) km / hr = ( 72 * 5 / 18 ) m / sec = 20 m / sec . length of the train = 20 * 6 = 120 m . answer : c"
a ) 298 , b ) 288 , c ) 120 , d ) 776 , e ) 991
c
divide(const_100.0, subtract(divide(const_100.0, 10), 6))
divide(const_100.0,n1)|subtract(#0,n2)|divide(const_100.0,#1)|
physics
What is the correct answer among five choices?
"even i got 96 % j = 100 t = 100 * 0.4 = 40 m = 40 * 1.6 = 64 if mary ' s income is x percent of j m = j * x / 100 x = m * 100 / j = 64 * 100 / 100 = 64 ans : c"
a ) 124 % , b ) b . 120 % , c ) 64 % , d ) 80 % , e ) 64 %
c
add(subtract(const_100, 60), multiply(subtract(const_100, 60), divide(60, const_100)))
divide(n0,const_100)|subtract(const_100,n1)|multiply(#0,#1)|add(#2,#1)|
general
What is the correct answer among five choices?
"no . of ways of picking 2 biology books ( from 11 books ) = 11 c 2 = ( 11 * 10 ) / 2 = 55 no . of ways of picking 2 chemistry books ( from 8 books ) = 8 c 2 = ( 8 * 7 ) / 2 = 28 total ways of picking 2 books of each type = 55 * 28 = 1540 ( option e )"
a ) 80 , b ) 160 , c ) 720 , d ) 1100 , e ) 1540
e
multiply(divide(divide(factorial(11), factorial(subtract(11, 2))), 2), divide(divide(factorial(8), factorial(subtract(8, 2))), 2))
factorial(n0)|factorial(n1)|subtract(n0,n2)|subtract(n1,n2)|factorial(#2)|factorial(#3)|divide(#0,#4)|divide(#1,#5)|divide(#6,n2)|divide(#7,n2)|multiply(#8,#9)|
other
What is the correct answer among five choices?
pipe a fills 1 / 30 th of the tank in a minute and pipe b empties 1 / 90 th of the tank ( 1 / 30 ) - ( 1 / 90 ) = ( 1 / x ) 2 / 90 = 1 / x = > x = 45 answer : d
a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50
d
divide(const_1, subtract(divide(const_1, 30), divide(const_1, 90)))
divide(const_1,n0)|divide(const_1,n1)|subtract(#0,#1)|divide(const_1,#2)
physics