subject stringclasses 1
value | question stringlengths 3 1.14k | options listlengths 5 5 | solution stringlengths 18 3.7k | answer stringclasses 5
values |
|---|---|---|---|---|
mathematics | A man can row 5 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place? | [
"2.25",
"2.35",
"2.45",
"2.55",
"2.65"
] | M = 5
S = 1.2
DS = 5 + 1.2 = 6.2
US = 5 - 1.2 = 3.8
x/6.2 + x/3.8 = 1
x = 2.35.Answer: B
The answer is: B | B |
mathematics | A 280 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train? | [
"230",
"288",
"267",
"256",
"220"
] | Relative speed = 120 + 80 = 200 km/hr.
= 200 * 5/18 = 500/9 m/sec.
Let the length of the other train be x m.
Then, (x + 280)/9 = 500/9 => x = 220.
Answer: E
The answer is: E | E |
mathematics | The ratio of the area of a square mirror to its frame is 16 to 33. If the frame has a uniform width (s) around the mirror, which of the following could be the value, in inches, of s ?
I. 2
II. 3 1/2
III. 5 | [
"I only",
"III only",
"I and II only",
"I and III only",
"I, II, and III"
] | Area of picture = 16x Area of frame = 33x
Area of picture / (Area of picture + area of frame) = 16x / 49x = 4x/7x.
This results in s value to be a multiple of 1.5 = multiple of 3/2 and since s is not constrained to be only integer all the three choices are possible
For i) the multiple of s is 4/3
For ii) the multiple o... | E |
mathematics | A certain barrel, which is a right circular cylinder, is filled to capacity with 40 gallons of oil. The first barrel is poured into a second barrel, also a right circular cylinder, which is empty. The second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel. If all of the oil in... | [
"There is no empty capacity",
"100 gallons",
"280 gallons",
"700 gallons",
"800 gallons"
] | Radius of first cylinder=r, diameter=2r, height=h
Radius of second cylinder=2r, diameter=2d and height=2h
Volume of first cylinder=pie (r^2)*h=40
Volume of second cylinder=pie(2r^2)2h
Put the value of pie (r^2)*h=40 in the second cylinder,volume= pie (r^2)*4*2=40*8=320 gallons
Empty capacity=280 gallons
Answer C
The an... | C |
mathematics | How many ounces of a 60% salt solution must be added to 70 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt? | [
"16.67",
"30",
"50",
"60.33",
"70"
] | let x=ounces of 60% salt solution to be added
.2*70+.6x=.4(70+x)
x=70
Answer E
The answer is: E | E |
mathematics | One night a certain hotel rented 2/5 of its rooms, including 2/3 of their air conditioned rooms. If 3/5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned? | [
"20%",
"25%",
"33%",
"36%",
"40%"
] | The rooms which were not rented is 3/5
The AC rooms which were not rented is (1/3)*(3/5) = 1/5
The percentage of unrented rooms which were AC rooms is (1/5) / (3/5) = 1/3 = 33%
The answer is C.
The answer is: C | C |
mathematics | Which of the following is closer to (26!+25!)/(26!-25!)? | [
"1",
"36",
"25",
"16",
"49"
] | Notice that 26! = (26)(25!), so we can factor out 25! from top and bottom.
(26!+25!)/(26!-25!)=[25!(26+1)]/[25!(26-1)]
= (26+1)/(25-1)
= 27/25
≈ 1
Answer: A
The answer is: A | A |
mathematics | I bought a book for Rs 60 , I sold off to a friend for Rs 70 but after a while i felt sorry , that i sold it and bought it back for Rs 80, how much loss did I incur? | [
"10",
"15",
"20",
"25",
"30"
] | profit 70-60 = 10
b p =80-60 =20
20-10=10 loss.
ANSWER:A
The answer is: A | A |
mathematics | If Albert’s monthly earnings rise by 27%, he would earn $567. If, instead, his earnings rise by only 26%, how much (in $) would he earn this month? | [
"643",
"652",
"562",
"578",
"693"
] | =567/1.27∗1.26
=562=562
Answer is C
The answer is: C | C |
mathematics | The proportion of the ages of Pooja and Charlie is 2 : 5, After 8 years, their ages will be in the proportion of 1 : 2. Then what is the variance in their current ages? | [
"36 years",
"28 years",
"24 years",
"19 years",
"30 years"
] | C
24 years
Let Pooja’s age = 2A
and Charlie’s age = 5A
(2A + 8)/(5A+8)= (1/2)
=> 2 (2A + 8) = 5A + 8
=> A = 8
Pooja’s age = 16 years
and Charlie’s age = 40 years
variance of their ages = 24 years.
The answer is: C | C |
mathematics | The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ? | [
"71 years",
"72 years",
"74 years",
"77 years",
"79 years"
] | The total of the ages of Amar, Akbar and Anthony is 80 years.
total of their ages three years ago = 80-3*3= 71 yrs
ANSWER:A
The answer is: A | A |
mathematics | Average of 9 results is 111. If the average of first four results is 106 and average of last four results is 112 Then find the fifth result? | [
"121",
"131",
"115",
"127",
"125"
] | Option 'D'
The answer is: D | D |
mathematics | Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled? | [
"5 hours",
"6 hours",
"3 hours",
"9 hours",
"2 hours"
] | Part filled by A + B + C in 1 hour = 1/5 + 1/10 + 1/30 = 1/3
All the three pipes together will fill the tank in 3 hours.Answer: C
The answer is: C | C |
mathematics | A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 850 in 4 years. The sum is? | [
"s. 738",
"s. 750",
"s. 650",
"s. 730",
"s. 735"
] | S.I. for 1 year = (850 - 825) = Rs. 25
S.I. for 3 years = 25 * 3 = Rs. 75
Principal = (825 - 75) = Rs. 750.
ANSWER:B
The answer is: B | B |
mathematics | If 0.2 of a number is equal to 0.08 of another number, the ratio of the numbers is : | [
"2 :3",
"3 :4",
"2 : 5",
"20 : 3",
"30:7"
] | 0.2A = 0.08B
-> A/B = 0.08/0.20 = 8/20 = 2/5
:. A : B = 2 : 5
ANSWER:C
The answer is: C | C |
mathematics | How many obtuse triangle can be made when one of the side of the triangle is taken between the 1st natural number and 8. | [
"1",
"2",
"3",
"4",
"5"
] | 3 triangles can be formed....because we have to take the property that sum of two sides of a triangle should be greater than the third side
ANSWER:C
The answer is: C | C |
mathematics | Find large number from below question The difference of two numbers is 1500. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder | [
"1797",
"1250",
"1540",
"1600",
"1635"
] | Let the smaller number be x. Then larger number = (x + 1365).
x + 1500= 6x + 15
5x = 1485
x = 297
Large number = 297+1365 = 1797
A
The answer is: A | A |
mathematics | Two pipes A and B can fill a tank in 15 min and 24 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank? | [
"14 min 19 sec",
"14 min 42 sec",
"14 min 20 sec",
"16 min 48 sec",
"14 min 10 sec"
] | :
Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15
Remaining part = 1 - 7/15 = 8/15
Part filled by B in 1 minute = 1/24
1/24 : 8/15 :: 1 ; x
x = 8/15 * 1 * 24 = 12 4/5 min = 12 min 48 sec.
The tank will be full in (4 min. + 12 min. 48 sec) = 16 min 48 sec.Answer: D
The answer is: D | D |
mathematics | Find the least number must be subtracted from 568219 so that remaining no.is divisible by 5? | [
"0",
"1",
"2",
"3",
"4"
] | On dividing 568219 by 5 we get the remainder 4, so 4 should be subtracted
E
The answer is: E | E |
mathematics | A ratio between two numbers is 8:9 and their L.C.M. is 432. The first number is | [
"60",
"45",
"50",
"48",
"None"
] | Sol.
Let the required numbers be 8x and 9x. Then, their L.C.M. is 72x.
∴ 72x = 432⇔ x = 6. Hence, the first number is 48.
Answer D
The answer is: D | D |
mathematics | A bus from city M is traveling to city N at a constant speed while another bus is making the same journey in the opposite direction at the same constant speed. They meet in point P after driving for 2 hours. The following day the buses do the return trip at the same constant speed. One bus is delayed 24 minutes and the... | [
"48",
"72",
"96",
"120",
"192"
] | Hmmm I did this question a while ago and got it wrong so trying again
Rate x time = distance.
For the initial trip lets the distance W to the midpoint be represented by P.
EQN1: R x 2 = P
For the second trip we know one bus left late and one left early. Together this is just a tricky way of saying one bus left an hour ... | E |
mathematics | How long will it take a sum of money invested at 5% p.a. S.I. to increase its value by 40%? | [
"6 years",
"7 years",
"8 years",
"9 years",
"None"
] | Sol.
Let the sum be x. Then, S.I. = 40% of x = 2x/5; Rate = 5%.
∴ Time = [100 * 2x/5 * 1/x*5] = 8 yea
Answer C
The answer is: C | C |
mathematics | How many times in a day, the hands of a clock are straight? | [
"44",
"40",
"30",
"25",
"20"
] | 12 hrs ==> 22 times
24 hrs ==> 44 times
ANSWER A
The answer is: A | A |
mathematics | The population of a city is 415600.It increased by 25% in the first year and decreased by 30% in the second year.What is the population of the city at the end of second year? | [
"367300",
"363580",
"363650",
"373650",
"386750"
] | As per given data, P = 415600, R1= 25% incresed, R2 = 30% decreased
Population of the city at the end of the second year= P (1+R1/100) (1-R2/100)
= 415600 (1+25/100) (1-30/100)
=363650
ANSWER:C
The answer is: C | C |
mathematics | A person bought 10 bottles for 1 dollar. How many for a dollar must he sell to gain 100%? | [
"1",
"2",
"3",
"4",
"5"
] | C.P. of 10 bottles = $1
S.P. of 10 bottles = 200% of $1 =2
for $2 bottles sold = 10
for $1 bottles sold = 10/2 = 5
Answer is E
The answer is: E | E |
mathematics | 40 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 6 like all. How many people like apple? | [
"47",
"49",
"54",
"58",
"62"
] | orange+mango-apple=7
mango+apple-orange=10
apple=40
orange+mango+apple=6
40+10+6-7=49 like apple
ANSWER:B
The answer is: B | B |
mathematics | 5 friends went to a restaurant and decided to pay the bill amount equally. But 4 of them could pay Rs. 50 each as a result 5th has to pay Rs. 40 extra than his share. Find the amount paid by him. | [
"130",
"110",
"50",
"100",
"None"
] | Explanation:
Average amount paid by 4 persons = Rs. 50
Increase in average due to Rs. 40 paid extra by the 5th men = Rs. 40/4= Rs. 10
Therefore, Average expenditure of 6 friends = Rs. 50 + Rs. 10 = Rs. 60
Therefore, Amount paid by the 6th men = Rs. 60 + Rs. 40 = Rs. 100
Correct Option: D
The answer is: D | D |
mathematics | Dan's age after 20 years will be 7 times his age 4 years ago. What is the present age of Dan? | [
"6",
"8",
"10",
"12",
"14"
] | Let Dan's present age be x.
x+20 = 7(x-4)
6x = 48
x = 8
The answer is B.
The answer is: B | B |
mathematics | A lockbox has a 4 digit number passcode. How many different passwords are possible if repetition of numbers is allowed? | [
"40",
"10000",
"1000",
"100",
"10"
] | 10 x 10 x 10 x 10 = 10,000
Answer: B
The answer is: B | B |
mathematics | The present worth of Rs.169 due in 2 years at 4% per annum compound interest is | [
"Rs.150.50",
"Rs.154.75",
"Rs.156.25",
"Rs.158",
"None"
] | Solution
Present Worth = Rs.[169/(1+4/100)²]
= Rs.(169x25/26x25/26)
= Rs.156.25
Answer C
The answer is: C | C |
mathematics | What is the probability that a three digit number is divisible by 7? | [
"1/7",
"127/900",
"32/225",
"129/900",
"1/8"
] | Total 3 digit integers which are divisible by 7 :
(994-105)/7+1 = 128
The total number of 3 digit integers = (999-100)+1 = 900
The required probability : 128/900 = 32/225
answer:C.
The answer is: C | C |
mathematics | In a class of 50 students, 20 play Basketball, 15 play Cricket and 11 play Football. 7 play both Basketball and Cricket, 4 play Cricket and Football and 5 play Basketball and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports? | [
"67",
"45",
"10",
"675",
"688"
] | Notice that7 play both Basketball and Cricket does not mean that out of those 7, some does not play Football too. The same for Cricket/Football and Basketball/Football.
[color=#ffff00]{Total}={Basketball}+{Cricket}+{Football}-{HC+CH+HF}+{All three}+{Neither}For more checkADVANCED OVERLAPPING SETS PROBLEMS
[/color]
50=2... | C |
mathematics | Find the last digit of (1021^3921)+(3081^3921) | [
"0",
"1",
"2",
"3",
"4"
] | last digit of 1st expression is 1 and second expression is also 1
as, 1 raised to any power will be 1 itself
so, 1+1 = 2
so the last digit will be 2
ANSWER:C
The answer is: C | C |
mathematics | 75 people are being divided into committees. However, the project calls for 9 teams of 9 people each. How many more people are needed to reach this quota? | [
"6",
"8",
"19",
"10",
"2"
] | 9 x 9 = 81
81 - 75 = 6
The answer is A.
The answer is: A | A |
mathematics | Ayush was born two years after his father's marriage. His mother is five years younger than his father but 22 years older than Ayush who is 10 years old. At what age did the father get married ? | [
"22years",
"23years",
"24years",
"25years",
"26years"
] | Explanation:
Ayush's present age = 10 years.
His mother's present age = (10 + 22) years = 32 years.
Ayush's father's present age = (32+ 5) years = 37 years.
Ayush's father's age at the time of Ayush's birth = (37 - 10) years = 27 years.
Therefore Ayush's father's age at the time of marriage = (27 - 2) years = 25 years.... | D |
mathematics | [( 3.242 x 14 ) / 100] = ? | [
"0.045388",
"4.5388",
"453.88",
"473.88",
"None of these"
] | Answer
Multiplying 3.242 x 14=4.5388
Now divide 4.5388 by 100
So, 4.5388 ÷ 100= 0.045388
∴ Shift the decimal two places to the left as 100
Correct Option: A
The answer is: A | A |
mathematics | A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was: | [
"14 years",
"19 years",
"33 years",
"38 years",
"42 years"
] | Let the son's present age be x years. Then, (38 - x) = x
2x = 38.
x = 19.
Son's age 5 years back (19 - 5) = 14 years.
Answer: Option A
The answer is: A | A |
mathematics | The equation (M )/42 = (p – 7)/21 relates two temperature scales, where M is the number of degrees on one scale and P is the number of degrees on the other scale. Which of the following equations can be used to convert temperatures from the P scale to the M scale? | [
"P",
"P-7",
"(P-7)*2",
"(P-7)62",
"P-5"
] | M/42 =(P-7)/21
M = (P-7)*42/21
=(P-7)*2
C
The answer is: C | C |
mathematics | Sharmila works 10 hours per day on Monday, Wednesday and Friday, and 8 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $460 per week. How much does she earn in dollars per hour? | [
"8",
"9",
"9.5",
"10",
"11"
] | So, she works 30 hours in 3 days
So, she works 16 hours in 2 days
So in a week she works 46 hours ( 30 + 16 ) and earns $460
So, Hourly wage is 460/46 => 10
Hence answer will be (D) 10
The answer is: D | D |
mathematics | In how many different number of ways 5 men and 2 women can sit on a shop which can accommodate persons? | [
"180",
"190",
"200",
"210",
"220"
] | 7p3 = 7 × 6 × 5 = 210
Option 'D'
The answer is: D | D |
mathematics | A salesperson receives a base salary of $900 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 210 items for $150 each, what will her monthly salary be? | [
"$1,500",
"$1,800",
"$2,100",
"$2,700",
"$2,800"
] | Ans : 900+ 7.5 % * 150 * (210-50) = $ 2700
Answer D
The answer is: D | D |
mathematics | When Robert discontinued his retainer-ship contract with a Pvt Company, management held his fees Rs. 15000/- for one month. Earlier Robert had completed a work worth fees of 7280/- from company, which was still not paid. But Robert forgot that. After one month Robert asked his fees and accountant gives Rs.18500/- to hi... | [
"A)9500",
"B)12500",
"C)10780",
"D)10500",
"E)8600"
] | Total fees = Rs.15000/-
Earlier fees not paid = 7280/-
Balance Salary = 15000-7280= 7720
Paid amount = 18500/-
Incentive amount = 18500-7720 = 10780/-
Answer is C
The answer is: C | C |
mathematics | In a sports club with 80 members, 48 play badminton and 46 play tennis and 7 do not play either. How many members play both badminton and tennis? | [
"23",
"21",
"20",
"26",
"27"
] | 48+46=94
but where as total number is 80-7=73
therefore answer is 94-73=21
Hence Answer is B
The answer is: B | B |
mathematics | In a certain mathematical activity, we start with seven cards, each with a different prime number written on it. These seven cards are randomly put into three boxes in the following way: one box must get four cards, one must get two, and one gets only one. Then, for each box, we find the product of all the cards in the... | [
"35",
"105",
"210",
"420",
"630"
] | R=7C4 * 3C2 = 105 Answer B.
7C4 ways to choose 4 numbers for Box 1
3C2 ways to choose 2 numbers for Box2
1 way for Box 3 .
every combination will give a different product and can be arranged least to highest only in one way .B
The answer is: B | B |
mathematics | Fence X is twice as long as fence Y, and fence Y is 4 feet shorter than fence Z. If 3 feet were added to each fence, which of the following must be true?
I) X is twice as long as Y.
II) Y is 2 feet shorter than Z.
III) X is longer than Z. | [
"I only",
"II only",
"III only",
"I and II",
"II and III"
] | If X= 6
Y= 3
Z= 7
Then, after adding 3 feet to each:
X= 9
Y=6
Z=10
And the answer would be B, which is wrong.
The answer is: B | B |
mathematics | A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets. | [
"40%",
"50%",
"60%",
"70%",
"80%"
] | Explanation:
Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= 120 - (60)
= 60
Now, we need to calculate 60 is what percent of 120.
=> 60/120 * 100 = 50 %
Answer: Option B
The answer is: B | B |
mathematics | Fill in the blank with the correct number in this number series: 6, 45, 14, 40, __, 35, 30, ? | [
"13",
"22",
"24",
"27",
"18"
] | This is a simple alternating subtraction and addition series; The first series begins with 6 and adds 8; the second begins with 45 and subtracts 5, and so on.
Answer: B
The answer is: B | B |
mathematics | If a, b, q are integers, 33 = abq, and a < b < q, what is the smallest possible value of a? | [
"-33",
"-3",
"1",
"3",
"11"
] | Given : a * b * q = 33.
33 is a Positive Odd number.Side Note:Thus, all 3 numbers will be odd.
Prime factorization will also give you numbers. 1, 3, 11. The 3 numbers will be combination of these 3 numbers with possible variation in sign(+/-).
We could have any 2 digits as negative. --> negative * negative * positive. ... | A |
mathematics | A car covers a distance of 618 km in 6 ½ hours. Find its speed? | [
"104 kmph",
"103 kmph",
"298 kmph",
"186 kmph",
"268 kmph"
] | 618/6
= 103 kmph
Answer:B
The answer is: B | B |
mathematics | Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120? | [
"1000",
"2777",
"9999",
"2777",
"2661"
] | 1120 = P [1 + (5*12/5)/100]
P= 1000
Answer: a
The answer is: A | A |
mathematics | Mira is making telescopes, each consisting of 2 lenses, 1 tube, and 1 eyepiece. Lenses can be purchased only in packs of 50, tubes only in packs of 10, and eyepieces only in packs of 30. However, half of the lenses in each pack are not usable for telescopes. If all parts are used only for the telescopes, what is the mi... | [
"75",
"150",
"300",
"1200",
"7,500"
] | I'd use backsolving for this question. Check option C first:
300 lenses = 150 usable lenses = 75 tubes = 75 eyepieces. We cannot buy 75 tubes or 75 eyepieces, so that not to have leftovers.
A and B are automatically out. Check D:
1200 lenses = 600 usable lenses = 300 tubes = 300 eyepieces. We CAN buy 300 tubes and 300 ... | D |
mathematics | Eight persons in an organization including A and B were to be divided in two groups of 4 members each. The total number of groups which not containing both A and B is what fraction of the total number of groups which can be formed? | [
"1/4",
"1/70",
"3/14",
"1/10",
"11/14"
] | The fraction is nothing but the probability..
Number to choose 4 out of 8= 8C4..
Number to choose A and B and 2 from remaining 6=6C2..
prob of A and B choosen=6C2/8C4= {6!/4!2!}/{8!/4!4!}..
6!4!4!/8!4!2!=3/2*7=3/14
Answer = 1-3/14 = 11/14
Answer : E
The answer is: E | E |
mathematics | The maximum number of student amoung them 2010 pens and 1050 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : | [
"90",
"60",
"30",
"1911",
"None of these"
] | Solution
Required number of student = H.C.F of 2010 and 1050 = 30. Answer C
The answer is: C | C |
mathematics | x and y are integers. x + y < 11 and x > 6. What is the smallest possible value of x - y ? | [
"1",
"2",
"4",
"-2",
"-4"
] | Focus on the transition points and plug in the values.
x > 6 so x could be 7, 8, 9, 10, 11 etc
Look at x = 7
7 + y < 11
y < 4
y could be 3, 2, 1, 0, -1 etc
When y is 3, we get x - y = 4
This must be the smallest value because as x increases, y reduces so x - y increases.
Take another example. x = 11 so y < 0.
x - y wil... | C |
mathematics | On an article ,the manufacturer gains 10%, the wholesale dealer 15%, and the retailer 25%, If its retail price is 1265, what is the cost of its production? | [
"1000",
"800",
"1100",
"900",
"700"
] | 110/100*115/100*125/100*C.P =1265,
11/10*23/20*5/4 C.P =1265
C.P = 800
ANSWER:B
The answer is: B | B |
mathematics | The original price of a television is 350$. What percent of the original price has been taken off if the retailer offers a discount of 122,50$ on the television? | [
"35%",
"30%",
"40%",
"45%",
"25%"
] | Explanation :
Total cost of the television: 350
Required percentage = (122,5/350) × 100 = 35%
Answer : Option A
The answer is: A | A |
mathematics | 32 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part? | [
"66",
"26",
"42",
"27",
"14"
] | x/7 = y/9 => x:y = 7:9
7/16 * 32 = 14
Answer: E
The answer is: E | E |
mathematics | What type of switch is this? | [
"2",
"7",
"6",
"8",
"9"
] | Answer:B
The answer is: B | B |
mathematics | Harry started a 4-mile hike with a full 6-cup canteen of water and finished the hike in 2 hours with 1 cup of water remaining in the canteen. If the canteen leaked at the rate of 1 cup per hour and Harry drank 1 cups of water during the last mile, how many cups did he drink per mile during the first 3 miles of the hike... | [
"1/3",
"2/3",
"3/4",
"5/4",
"4/3"
] | No of cups leaked during the trip = 2 cups.
No of cups Harry drank = 3 cups.
No of cups harry drank during the first 3 miles = 2.
drink / mile = 2/3
Answer:B
The answer is: B | B |
mathematics | A number Y is chosen at random from the numbers 1, -3, -1, 0, 1, 2, 3. What is the probability that |X|<3? | [
"1/5",
"2/3",
"3/7",
"4/7",
"5/11"
] | |X||X| can take 7 values.
To get |X|<2|X|<2 ( i.e., −2<x<+2−2<x
⇒ P(|X|<2)= Favourable CasesTotal CasesP(|X|<2)= Favourable CasesTotal Cases
= 3/7
C
The answer is: C | C |
mathematics | "I am five times as old as you were, when I was as old as you are", said a man to his son. Find out their present ages, if the sum of their ages is 64 years. | [
"47 years and 28 years.",
"40 years and 24 years.",
"48 years and 27 years.",
"46 years and 26 years.",
"none of these"
] | Let the present age of the man be ’a’ and son be ’b’,
Given, a + b = 64 or b = (64 - a)
Now the man says "I am five times as old as you were, when I was as old as you are",
So, a = 5[b - (a - b)]
We get 6a = 10b,
Substitute value for b,
6a = 10(64 - a),
Therefore a = 40, b = 24.
ANSWER:B
The answer is: B | B |
mathematics | If the area of a circle decreases by 25%, then the radius of a circle decreases by | [
"13%",
"18%",
"36%",
"64%",
"None of these"
] | If area of a circle decreased by x % then the radius of a circle decreases by
(100−10√100−x)%=(100−10√100−25)%
= (100−10√75)%
= 100 - 87 = 13%
Answer A
The answer is: A | A |
mathematics | In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is: | [
"5324",
"5334",
"5336",
"5356",
"5400"
] | Divisor = (5 * 46) = 230
= 10 * Quotient = Divisor
=> Quotient = 230/10 = 23
Dividend = (Divisor * Quotient) + Remainder
Dividend = (230 * 23) + 46 = 5336.
C
The answer is: C | C |
mathematics | Find the odd man out. 5, 10, 40, 81, 320, 640, 2560 | [
"81",
"5",
"10",
"81",
"320"
] | Alternatively 2 and 4 are multiplied with the previous terms
5
5 × 2 = 10
10 × 4 = 40
40 × 2 = 80
80 × 4 = 320
320 × 2 = 640
640 × 4 = 2560
Hence, 81 is wrong. 80 should have come in place of 81.
Answer is A
The answer is: A | A |
mathematics | The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period? | [
"Rs.10529",
"Rs.10528",
"Rs.10560",
"Rs.10508",
"Rs.10568"
] | Let the rate of interest be R% p.a.
4400{[1 + R/100]2 - 1} = 11193.60
[1 + R/100]2 = (44000 + 11193.60)/44000
[1 + R/100]2 = 1 + 2544/1000 = 1 + 159/625
[1 + R/100]2 = 784/625 = (28/25)2
1 + R/100 = 28/25
R/100 = 3/25
Therefore R = 12 SI on Rs.44000 at 12% p.a. for two years = 44000(2)(12)/100
=Rs.10560
Answer:C
The an... | C |
mathematics | P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work? | [
"9 days",
"9 (3/5) days",
"11 1/5 days",
"13 days",
"13 1/7"
] | Amount of work P can do in 1 day = 1/16
Amount of work Q can do in 1 day = 1/12
Amount of work P, Q and R can together do in 1 day = 1/4
Amount of work R can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48
=> Hence R can do the job on 48/5 days = 9 (3/5) days
B)
The answer is: B | B |
mathematics | If n = 2×3×5×7×11×13×16, then which of the following statements must be true?
I. n^2 is divisible by 600
II. n + 19 is divisible by 19
III. (n + 4)/2 is even | [
"I only",
"II only",
"III only",
"I and III",
"None of the above"
] | Statement I: 600 = (2^3)*(3)*(5^2) this is true.
Statement 2 this is NOT true.
Statement 3: (n+4)/2 = n/2 + 2, So this is true.
Hence option (D).
The answer is: D | D |
mathematics | Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 4 hours and 25 hours after they passed each other the ratio of the speeds of the two trains was | [
"2:1",
"3:2",
"4:3",
"5:2",
"1:2"
] | Explanation:
Note : If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then: (A's speed) : (B's speed) = (b : a)
Therefore, Ratio of the speeds of two trains = = 5 : 2. Answer: D
The answer is: D | D |
mathematics | In a group of 800 people, 2/5 play at least one instrument, 96 play two or more. What is the probability that one student play exactly one instrument? | [
"2/125",
"3/125",
"C)2/25",
"3/25",
"7/25"
] | P(playing 2 or more instruments) = 96/800 = 3/25.
Then, the probability of playing exactly one instrument is given by:
P(playing 1 or more instruments) - P(playing 2 or more instruments) = 2/5 - 3/25 = 7/25.
Answer E.
The answer is: E | E |
mathematics | The speed of a boat in still water is 60kmph and the speed of the current is 40kmph. Find the speed downstream and upstream? | [
"87 kmph",
"40 kmph",
"16 kmph",
"20 kmph",
"18 kmph kmph"
] | Speed downstream = 60 + 40
= 100 kmph
Speed upstream = 60 - 40
= 20 kmph
Answer:D
The answer is: D | D |
mathematics | a, b, c and d are four consecutive numbers. If the sum of a and dis 107, what is the product of b and c? | [
"2862",
"2578",
"2534",
"3354",
"4234"
] | A
2862
Here d = a + 3
a + a + 3 = 107
2a = 104
a = 52
So, numbers are 52, 53, 54 and 55
∴ b × c= 53 × 54 = 2862
The answer is: A | A |
mathematics | Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then | [
"XB > AB",
"XB < YD",
"AX > XB",
"AX < XB",
"YD < AB"
] | A--X------B
C-----Y---D
YD < AB.
Answer: E.
The answer is: E | E |
mathematics | if a@b = a * b^(1/2) then 2@25 = ?
self made | [
"2",
"6",
"10",
"8",
"4"
] | 2* (25)^1/2= 2*5= 10
C is the answer
The answer is: C | C |
mathematics | A rectangular field is to be fenced on three sides leaving a side of 80 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required? | [
"44ft",
"97ft",
"22ft",
"11ft",
"66ft"
] | Given that length and area, so we can find the breadth.
Length x Breadth = Area
80 x Breadth = 680
Breadth = 8.5 feet
Area to be fenced = 2B + L = 2 (8.5) + 80 = 97 feet
Answer: B) 97ft
The answer is: B | B |
mathematics | If a sum of money borrowed at 5 percent/annum SI amounts to Rs.1020 in 4 yrs, then the sum of money borrowed is? | [
"Rs. 850",
"Rs. 900",
"Rs. 980",
"Rs. 990",
"Rs. 1000"
] | Sol We have, A : Rs.1U2D
Let the pr xnpal be R5 x
Then mterest u — 12 : wzo — x
Therefore, by u xglurmula.
_umxx
’ Rx’: (
, _ma>< 1nzn—xv
\4Ve|\a\e,Jc— 5“
:> ~(:51DD—S*(or6x:51UU
or, J: : w 350
. The sum of money burrowed : Rs. 850
A)
The answer is: A | A |
mathematics | Jack has two dice, one has six equally probable sides, labeled 1, 2, 3, 4, 5, 6, and the other has seven equally probable sides, labeled 1, 2, 3, 4, 5, 6, 7. If Jack rolls both dice what is the probability that both of the number's sum will be 13? | [
"3/14",
"2/7",
"1/3",
"1/42",
"12/21"
] | Both Dice addition result is 13 = (6+7)
Probability that the number on first die is 6 = 1/6
Probability that the number on Second die is 7 = 1/7
Probability that Both Dice addition result is 13 = 1/6 * 1/7 = 1/42
D
The answer is: D | D |
mathematics | What is the place value of 1 in the numeral 1259 | [
"A)1000",
"B)2800",
"C)2900",
"D)2980",
"E)3000"
] | 1 * 1000 = 1000
A
The answer is: A | A |
mathematics | It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 880 cubic metres in 10 minutes. The inner radius of the pipe should be : | [
"√2 m",
"2 m",
"1⁄2 m",
"1⁄√2 m",
"None of these"
] | Let inner radius of the pipe be r.
Then, 880 = 22⁄7 × r2 × 7 × 10
or r2=880/22×10=4
or r = √4=2 m
Answer B
The answer is: B | B |
mathematics | city A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip? | [
"57",
"57.5",
"56",
"59",
"60"
] | The total distance is 1×50+3×60=2301×50+3×60=230. And the total time is 4 hours. Hence,
Average Speed=(Total DistanceTotal Time)=2304=57.5
B
The answer is: B | B |
mathematics | If n = 20! + 19, then n is divisible by which of the following?
I. 15
II. 17
III. 19 | [
"I only",
"II only",
"III only",
"I and II",
"II and III"
] | 19 divides 20! so 19 also divides 20! + 19.
15 and 17 divide 20! so they do not divide 20! + 19.
The answer is C.
The answer is: C | C |
mathematics | A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 256 sq. feet, how many feet of fencing will be required? | [
"45.6",
"40",
"68",
"88",
"92"
] | Given that length and area, so we can find the breadth.
Length x Breadth = Area
20 x Breadth = 256
Breadth = 12.8 feet
Area to be fenced = 2B + L = 2 (12.8) + 20 = 45.6 feet answer : A
The answer is: A | A |
mathematics | The probability of rain showers in Barcelona on any given day is 0.4. What is the probability that it will rain on exactly one out of three straight days in Barcelona? | [
"0.144",
"0.072",
"0.432",
"0.72",
"0.288"
] | P(Rain) = 0.4 = 2/5
So, P(no rain) = 0.6 = 3/5
Let R represent Rain, and let N represent no rain
So, P(Rain exactly once) = P(R-N-N OR N-R-N OR N-N-R)
= P(R-N-N) + P(N-R-N) + P(N-N-R)
= (2/5)(3/5)(3/5) + (3/5)(2/5)(3/5) + (3/5)(3/5)(2/5)
= 18/125 + 18/125 + 18/125
= 54/125
NO DECIMAL CONVERSION NEEDED
Notice that 62.5/... | C |
mathematics | 55% of respondents to a survey consisted of those who used both M and N and those who used neither M nor N. 47% of respondents did not use M. 40% used N. What percent of respondents used only N? | [
"16%",
"21.5%",
"20%",
"18.5%",
"17.5%"
] | From the question, we can summarize the information as follows:
N Not N
M X
Not M Ans y 47
40 100
Then we can set a system of 3 equations 3 unknowns described below:
X + Y = 55
X + Ans = 40
Y + Ans = 47
Sum up all three equations to get 2X + 2Y + 2Ans = 142
Divide both sides by 2 to get X + Y + Ans = 71
Replace X + Y w... | A |
mathematics | There are 18 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes? | [
"21",
"24",
"27",
"45",
"54"
] | Note that each handshake includes two people.
The total number of handshakes is 18*3/2 = 27
The answer is C.
The answer is: C | C |
mathematics | Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word BANANA could be arranged to create a six-letter code? | [
"A)6!",
"− (3! + 2!)",
"− (3! × 2!)",
"+ 2!)",
"× 2!)"
] | Number of letters in word 'BANANA' = 6.
The letters 'A' and 'N' appear 3 times and 2 times respectively in the word 'BANANA'.
Therefore the mathematical solution for number of ways that the letters of the word BANANA can be arranged to create six-letter code
= 6!/(3!*2!)
Answer: E
The answer is: E | E |
mathematics | A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in? | [
"7",
"6",
"8",
"9",
"5"
] | (A + B + C)'s 1 day work = 1/6;
(A + B)'s 1 day work = 1/8
(B + C)'s 1 day work = 1/12
(A + C)'s 1 day work = (2 * 1/6) - (1/8 + 1/12)
= (1/3 - 5/24) = 1/8
So, A and C together will do the work in 8 days.
Answer:C
The answer is: C | C |
mathematics | Nine family members: 5 grandchildren (3 brothers and 2 sisters) and their 4 grandparents are to be seated around a circular table. How many different seating arrangements are possible so that 2 sisters are seated between any two of the three brothers? | [
"120",
"480",
"1440",
"2880",
"8640"
] | Consider two brothers and two sisters between them as one unit: {BSSB}.
So, now we have 6 units: {G}, {G}, {G}, {G}, {B}, and {BSSB}.
These 6 units can be arranged around a circular table in (6-1)!=5! ways.
Next, analyze {BSSB} unit:
We can choose 2 brothers out of 3 for the unit in C23=3C32=3 ways;
These brothers, wit... | C |
mathematics | In a University the average age in an arts class is 21 and average age in technical class is 18. What is the age average of University if there are 8 arts classes and 5 technical classes? | [
"18.75",
"19.85",
"20.32",
"20.9",
"21.0"
] | Average age of University= ((8x21)+(5x18))/13
=19.85
Answer: B
The answer is: B | B |
mathematics | Given that 2x + 13 > 5 and 5x - 13 < 7, all values of x must be between which of the following pairs of integers? | [
"-4 and -1",
"-4 and 4",
"-4 and 1",
"-2 and 5",
"2 and 5"
] | 2x + 13 > 5
i.e 2x >5-13
i.e. 2x > -8
i.e. x > -4
Also, 5x - 13 < 7
i.e. 5x <7+13
i.e 5x < 20
i.e x < 4
i.e. -4 < x < 4
Answer: Option B
The answer is: B | B |
mathematics | The distance between 2 cities A and B is 1000km. A train starts from A at 10 a.m. and travels towards B at 100 km/hr. Another starts from B at 11 a.m. and travels towards A at 150 km/hr. At what time do they meet? | [
"11am.",
"12p.m.",
"3pm.",
"2p.m.",
"1p.m."
] | Suppose they meet x hrs after 10 a.m.
Distance moved by first in x hrs + Distance moved by second in (x-1)hrs = 1000
100x + 150 (x-1) = 1000
x = 4.60 = 5 hrs
They meet at 10+5 = 3 p.m.
Answer is C
The answer is: C | C |
mathematics | In the following sequence: [x, y, z, 5, 7, 16, 28] each number is equal to the sum of the three numbers preceding it. What is x+y? | [
"-5",
"-1",
"1",
"5",
"6"
] | lets start from z, as per the question stem
z + 5 + 7 = 16
-->> z= 4
similarly, y + 4 + 5 = 7
--> y = -2
similarly,, x + -2 + 4 = 5
--> x = 3
hence , x+y = 3-2 = 1
ANSWER:C
The answer is: C | C |
mathematics | How many bricks, each measuring 80 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm? | [
"6400",
"2000",
"5500",
"7400",
"3000"
] | Number of bricks = Volume Of the wall / Volume of 1 brick = (800 x 600 x 22.5) / (80 x 11.25 x 6) = 2000
ANSWER:B
The answer is: B | B |
mathematics | In a dairy farm, 30 cows eat 30 bags of husk in 30 days. In how many days one cow will eat one bag of husk? | [
"1",
"40",
"20",
"26",
"30"
] | Explanation :
One bag of husk = 30 cows per day
⇒ 30 × 1 × 30 = 1 × 30 × x
For one cow = 30 days
Answer : E
The answer is: E | E |
mathematics | How many numbers from 29 to 79 are exactly divisible by 11? | [
"5",
"7",
"9",
"11",
"12"
] | Option 'A'
29/11 = 2 and 79/11 = 7 ==> 7 - 2 = 5 Numbers
The answer is: A | A |
mathematics | Cn = 2Cn-1 + 4 and Qn = 4Qn-1 + 8 for all n > 1. If C5 = Q4 and C7 = 316, what is the first value of n for which Qn is an integer? | [
"1",
"2",
"3",
"4",
"5"
] | Assuming I have understood the symbols used correctly answer is C- 3
C7 = 2S6 +4 = 316
C6 = 312/2 = 156 = 2C5 + 4
C5 = 152/2 = 76 = Q4
Q4 = 4Q3 + 8 = 76
Q3 = 68/4 = 17
Q3 = 4Q2 + 8 = 17
Q2 = 9/4 = 2.25
Q2 = 4Q1 + 8
Q1 will not be integer
The answer is: C | C |
mathematics | A freight elevator can carry a maximum load of 1000 pounds. Sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. If he needs to fit three more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the difference between the... | [
"25",
"85",
"190",
"215",
"210"
] | The average of existing 2 package is150 + 280/2 = 430/2 = 215
Remaining allowed weight = 1000 - 200 - 430 = 1230.
allowed per package = 1230 / 3 = 410
So difference in average of existing and allowable = 410-215 = 195
Hence A
The answer is: A | A |
mathematics | There are 361 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital? | [
"152",
"209",
"57",
"171",
"181"
] | Given,
The ratio of the doctors to the nurses is 8 : 11
Number of nurses = 11/19 x 361 = 209
ANSWER:A
The answer is: A | A |
mathematics | If 18 persons can build a wall 140 m long in 42 days, the number of days that 30 persons will take to complete a similar wall 100 m long, is. | [
"18",
"21",
"24",
"28",
"30"
] | Explanation :
(Length 140:100) : (Persons 30:18) :: 42 : x
=> 140 * 30 * x = 100 * 18 * 42
=> or x = 18
Answer : A
The answer is: A | A |
mathematics | If 9!/3^x is an integer, what is the greatest possible value of x? | [
"3",
"4",
"5",
"6",
"7"
] | 9 - 3*3
6 - 2*3
3 - 1*3
Hence max of 3^4 is allowed. IMO B.
The answer is: B | B |
mathematics | A, B and C can do a piece of work in 14, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done? | [
"7.6 days",
"7.7 days",
"6.7 days",
"5.7 days",
"8.7 days"
] | x/14 + x/30 + x/40 = 1
x = 7.7 days
ANSWER:B
The answer is: B | B |
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