antoine-444/aqua_rat_dataset huggingface dataset:
Question: On a certain Monday, Carlos drove to work at an average speed of 20 miles per hour and home from work along exactly the same route at an average speed of 40 miles per hour. Which of the following is closest to his average speed for both trips combined?
Choices:
26
27
26.66
28
Answer: C
Question: If 5 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days?
Choices:
52.6 kg
59.6 kg
56.6 kg
57.6 kilogram
Answer: D
Question: Three numbers are in the ratio 3 : 5 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 50. Find the third number?
Choices:
B)50
C)48
D)46
E)63
Answer: A
Question: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
Choices:
19828.8
19828.85
19828.83
19828.81
Answer: A
Question: Find the least number must be subtracted from 105829 so that remaining no.is divisible by 21?
Choices:
10
20
32
35
Answer: A
Question: A wholesaler makes a 10% commission on the selling price for each bag of cat food it sells. If it sells 100 bags of cat food and makes $160 in commission, what was the selling price of each bag?
Choices:
$4.80
$9.60
$16.00
$32.00
Answer: C
Question: If x+y=5z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z?
Choices:
3z
2z
z/3
3z/2
Answer: B
Question: In what time will a train 110 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.75
4.75
5.75
6.75
Answer: A
Question: For a group of n people, k of whom are of the same sex, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 25 people, 8 of whom are females, by how much does the index for the females exceed the index for the males in the group?
Choices:
0.36
0.2
0.25
0.6
Answer: A
Question: A retail item is offered at a discount of c percent (where c > 10), with a 5% state sales tax assessed on the discounted purchase price. If the state sales tax were not assessed, what percent discount from the item’s original retail price, in terms of c, would result in the same final price?
Choices:
c/1.05 +5
1.05c-5
c-5/1.05
1.05(p – 5)
Answer: B
Question: Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.
Choices:
288
27
200
881
Answer: C
Question: How many 3 digit numbers are divisible by 6 in all ?
Choices:
150
151
166
172
Answer: A
Question: By how much is 30% of 80 greater than 4/5th of 25 ?
Choices:
4
10
15
17
Answer: A
Question: An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metre of cloth ?
Choices:
195 seconds
155 seconds
115 seconds
115 seconds
Answer: A
Question: In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions ?
Choices:
42
36
65
28
Answer: B
Question: A woman has $133,982 in her savings account. What is the least amount of money (in whole number of dollars) that she must add to her account if she wants to split this money evenly among her Three children?
Choices:
$1
$3
$2
none
Answer: A
Question: A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 70, how many questions did Student A answer correctly?
Choices:
90
73
82
91
Answer: A
Question: If Tom paid $250 toward buying a brand new oven, which represents 20% of the total cost of the oven, how much remains to be paid?
Choices:
$1000
$1050
$1300
$2000
Answer: A
Question: Fred purchased an item for $15.00. Fred sees the same item a week later on sale for $12.00. What percentage has the item been marked down from what Fred paid?
Choices:
5
15
20
30
Answer: C
Question: P works 25% more efficiently than Q and Q works 50% more efficiently than R. To complete a certain project, P alone takes 50 days less than Q alone. If, in this project P alone works for 60 days and then Q alone works for 145 days, in how many days can R alone complete the remaining work?
Choices:
110.6 days
100 days
150 days
80 days
Answer: A
Question: 210 college students were asked in a survey if they preferred Windows or Mac brand computers. 90 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 60 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers?
Choices:
40
50
60
75
Answer: C
Question: A boy was asked to find the arithmetic mean of the numbers 23, 17, 19, 25, 23, 18, 29, 27, 31 and P. He found the mean to be 24. What should be the number in place of P?
Choices:
7
33
28
38
Answer: C
Question: The workforce of Company X is 60% female. The company hired 30 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?
Choices:
220
240
360
420
Answer: C
Question: Sanya prepared 4 different letters to 4 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
Choices:
1/8
1/4
1/3
3/8
Answer: C
Question: Four person are chosen at random form a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children, is:
Choices:
10/21
17/21
19/21
14/21
Answer: A
Question: 25% of 30% of 45% is equal to?
Choices:
0.03375
0.0331
0.03299
0.03312
Answer: A
Question: A boy goes to his school from his house at a speed of 3km/hr and return at a speed of 2km/hr. If he takes 5 hours in going and coming, the distance between his house and school is?
Choices:
6km
10km
12km
8km
Answer: A
Question: The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is
Choices:
11.5
81.5
11.5
21.5
Answer: A
Question: If 4 cats can kill 4 rats in 4 minutes, how long will it take 100 cats to kill 100 rats?
Choices:
2 minutes
3 minutes
4 minutes
5 minutes
Answer: C
Question: The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?
Choices:
6
7
9
11
Answer: A
Question: A housing society has been allotted a square piece of land measuring 2550.25 sq.m. What is the side of the plot?
Choices:
50.5 m
50.65 m
50.85
NONE
Answer: A
Question: If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 36 more than n. What is y in terms of x ?
Choices:
10 - x
x + 4
x - 4
x + 26
Answer: B
Question: Find the value of (45 + 23/89) × 89
Choices:
4028
4248
4538
9028
Answer: A
Question: if log 3 = 0.47712, the number of digits in 3128 is
Choices:
39
88
28
62
Answer: D
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
50
60
79
80
Answer: A
Question: A and B started a business investing Rs. 90,000 and Rs 20,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
Choices:
9:2
18:20
18:4
17:4
Answer: A
Question: A and B can do a piece of work in 8 days. B and C can do it in 12 days and A and C in 16 days. Working together they will complete the work in how many days?
Choices:
9.38 days
7.38 days
3.38 days
9.38 days
Answer: B
Question: Which of the following numbers is two more than the square of an odd integer?
Choices:
14,361
15,153
15,737
16,643
Answer: D
Question: A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:
Choices:
Rs. 10,000
Rs. 15,000
Rs. 18,000
Rs. 20,000
Answer: B
Question: Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:
Choices:
16
18
25
28
Answer: A
Question: The set S has 36 different subsets each of which contains exactly two elements. How many subsets of S could contain exactly four elements each?
Choices:
126
110
100
118
Answer: A
Question: Victor's job requires him to complete a series of identical jobs. If Victor is supervised at work, he finishes each job three days faster than if he is unsupervised. If Victor works for 144 days and is supervised for half the time, he will finish a total of 36 jobs. How long W would it take Victor to complete 10 jobs without any supervision?
Choices:
52
60
70
92
Answer: B
Question: A box measuring 90 inches long by 45 inches wide by 9 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?
Choices:
18
50
108
864
Answer: B
Question: A car travels at a speed of 65 miles per hour. How far will it travel in 6 hours?
Choices:
225 miles
390 miles
425 miles
525 miles
Answer: B
Question: A truck owner will refuel his vehicle at a rate of 2 gallons of diesel fuel every 5 seconds. If diesel fuel costs $ 2 per gallon, how long will it take for the truck owner to refuel his vehicle with $ 50 worth of diesel fuel?
Choices:
50 seconds
1 minute 20 seconds
20 minutes
1 hour 20 minutes
Answer: A
Question: Exactly 12% of the reporters for a certain wire service cover local politics in Country X. If 40% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
Choices:
42%
44%
80%
84%
Answer: C
Question: When two dice are rolled, what is the probability that the sum is either 7 or 11?
Choices:
1/9
4/3
3/9
2/9
Answer: D
Question: A mixture contains alcohol and water in the ratio 4 : 3. If 9 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
Choices:
10 litres
30 litres
22 litres
18 litres
Answer: D
Question: If a^x = b^4y, then
Choices:
log a/ log b = x/y
log a/ log b = 4y/x
log b/a = x/y
log b/a = y/x
Answer: B
Question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.150. Find the unknown rate of two towels?
Choices:
450
500
550
600
Answer: A
Question: The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder S of Y divided by 5?
Choices:
S=2.
S=3.
4.
5.
Answer: A
Question: A baker makes chocolate cookies and peanut cookies. His recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6. If he makes exactly 98 cookies, what is the minimum number of chocolate chip cookies he makes?
Choices:
14
21
28
56
Answer: A
Question: Lagaan is levied on the 60% of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Sukhiya. Sukhiya, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Sukhiya over the total taxable land of the village is:
Choices:
0.3887
0.33487
0.20833
0.38222
Answer: C
Question: Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/4, 1/3 and 5/8, respectively, what is the probability that Xavier and Yvonne, but not Zelda, will solve the problem?
Choices:
1/32
9/64
5/64
3/64
Answer: A
Question: The ratio between the length and the breadth of a rectangular plot is 7 : 5. If the perimeter of the plot is 72 metres, what is its area?
Choices:
315 sq.metres
280 sq.metres
380 sq.metres
None of these
Answer: A
Question: If the area of circle is 616 sq cm then its circumference?
Choices:
88
66
16
12
Answer: A
Question: A man is 22 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?
Choices:
20
27
22
91
Answer: A
Question: Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit?
Choices:
Rs. 8620
Rs. 8800
Rs. 8840
None of these
Answer: D
Question: 1/2 + [(2/3 * 3/4)/4] - 9/16 =
Choices:
1/16
15/16
9/13
0
Answer: A
Question: If x is to be chosen at random from the set {1,2,3,4} and y is to be chosen at random from the set {3,4,5}, what`s the probability that xy will be even?
Choices:
2/3
1/2
1/3
5/6
Answer: A
Question: A man spends 75% of his income.If his income increases by 20%,then what will be his new expenditure?
Choices:
62.5%
63.5%
64.5%
65.5%
Answer: A
Question: Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 5 muffins remained. How many guests did Monica plan on?
Choices:
4.
5.
6.
7.
Answer: D
Question: The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
Choices:
13√2
48
75
23
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
77
36
88
21
Answer: B
Question: The simple interest on a sum of money is Rs. 50. What is the sum?
I.The interest rate is 10% p.a.
II.The sum earned simple interest in 10 years.
Choices:
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: D
Question: Kant and Jaya started a business by investing a certain amount, Jaya’s share is Rs.1400, out of annual profit of Rs.3800, then what is the ratio of investments of Kant and Jaya respectively ?
Choices:
18:21
12:7
6:11
4:3
Answer: B
Question: Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?
Choices:
4 hrs 24 min
4 hrs 84 min
3 hrs 24 min
7 hrs 24 min
Answer: A
Question: The sum of 3 consecutive numbers is definitely:
Choices:
Divisible by 2.
Divisible by 3
Divisible by 4.
Divisible by 5
Answer: B
Question: Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is ?
Choices:
5/9
5/3
5/8
5/1
Answer: A
Question: Which of the following options must be true given the equation p=-q^6
I. If q is negative then p is negative.
II. q is negative.
III. q is non-negative.
Choices:
I only
III only
II and III only
I and III only
Answer: A
Question: 5670/(28*13.5) = ?
Choices:
15
16
19
18
Answer: A
Question: What is next in series
J F M A M ? ?
Choices:
SS
FJ
JJ
DD
Answer: C
Question: The HCF of two numbers is 62 and the other two factors of their LCM are 11 and 12. What is the largest number.
Choices:
744
480
504
555
Answer: A
Question: A can finish a work in 18 days B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
Choices:
5 1/2
6
8
9
Answer: B
Question: A speaks truth in 75% case and B in 80% of the cases. In what percentage of cases are they likely to contradict each other, narrating the same incident?
Choices:
23
35
60
21
Answer: B
Question: Arun went for a movie nine days ago. He goes to watch movies only on Thursdays. What day of the
week is today?
Choices:
Saturday
Friday
Sunday
None of these
Answer: A
Question: A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:
Choices:
Rs. 10,000
Rs. 15,000
Rs. 20,000
Rs. 22,000
Answer: B
Question: There are 11 teams in a soccer league and each team plays each of the other teams once. How many games will be played in total?
Choices:
45
50
55
60
Answer: C
Question: 200 is increased by 25%. Find the final number.
Choices:
210
250
190
220
Answer: B
Question: In a graduating class of 232 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number T and the smallest possible number of students that could have taken both geometry and biology?
Choices:
119
113
88
31
Answer: C
Question: Consider a quarter of a circle of radius 81. Let r be the radius of the circle inscribed in this quarter of a circle. Find r.
Choices:
88*(sqr3 -1)
4*(sqr7 - 1)
81* (sqr2 -1)
None of these
Answer: C
Question: Lamp A flashes every 6 seconds, Lamp B flashes every 8 seconds, Lamp C flashes every 10 seconds. At a certain instant of time all three lamps flash simultaneously. During the period of 6 minutes after that how many times will exactly two lamps flash? (Please include any flash of exactly two lights which occurs at the 6 minute mark.)
Choices:
25
26
27
28
Answer: C
Question: The price of a jacket is reduced by 20%. During a special sale the price of the jacket is reduced another 25%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
Choices:
35
48.1
65
66.67
Answer: D
Question: If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are?
Choices:
Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.750
Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.250
Ram = Rs.1500, Shyam = Rs.1080, Mohan = Rs.750
Ram = Rs.1500, Shyam = Rs.1002, Mohan = Rs.750
Answer: A
Question: If S = {50, 72, 108, 120, 205}, how much less is the mean of the numbers in S than the median of the numbers in S?
Choices:
3
5
8
9
Answer: A
Question: A man can row 8 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man?
Choices:
7.82 km
5.76 km
5.66 km
10 km
Answer: A
Question: If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 16 integers, Y consists of 18 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers?
Choices:
16
22
30
174
Answer: B
Question: The area of a rectangle is x2 + 4x -12. What are the dimensions of the rectangle (length and width)?
Choices:
x + 6 , x + -2
x + 8 , x + -2
x + 9 , x + -2
none
Answer: A
Question: Pipes A and B can fill a tank in 8 and 24 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:
Choices:
12 hr
23 hr
24 hr
24 hr
Answer: A
Question: A straight pipe 3 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?
Choices:
1/4 and 1/3 only
1/6, 1/4, and 1/3
1/12, 1/6 and 1/4
1/12, 1/6, and 1/3
Answer: B
Question: 4211.01 + 22.261 - ? = 2645.759
Choices:
1587.512
1588.021
1586.422
None of these
Answer: A
Question: A number when divided by 243 gives a remainder 26, what remainder will be obtained by dividing the same number 14?
Choices:
6
9
2
3
Answer: D
Question: What percent of a day is 4 hours?
Choices:
12.5%
13%
11.3%
None of these
Answer: A
Question: A can do a piece of work n 7 days of 9 hours each and B alone can do it in 6 days of 7 hours each. How long will they take to do it working together 8 2/5 hours a day?
Choices:
3
5
6
7
Answer: A
Question: A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
26 km
20 km
56 km
20 km
Answer: D
Question: A no.when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
Choices:
6
9
10
12
Answer: B
Question: A man has Rs. 544 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
94
96
97
102
Answer: D
Question: A and B started a business. A invests rs.6000 and b invests rs.8000 after 6 months c joined them with rs.6000 but b left with the capital.after one year they get a profit of rs.2600.the share of A is?
Choices:
1100
1200
1000
1300
Answer: B
Question: In a covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay double his speed, then he would take 1 hour less than Sammer. Abhay's speed is?
Choices:
8
4
3
2
Answer: A
Question: In Country Q, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?
Choices:
30% decrease
15% decrease
30% increase
55% increase
Answer: A
Question: A certain college's enrollment at the beginning of 1992 was 30 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 10 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?
Choices:
43%
50%
35%
38%
Answer: A
Question: Ice-ColdIce-cream factory produces only tricolor ice-cream products, where each ice-cream has three stripes of different colors. The factory uses the colors yellow, purple, orange, silver, blue and red. How many different ice-cream products have at least one stripe out of the following colors: yellow, purple or orange (assume that the order of the stripes in a single ice-cream does not matter)?
Choices:
14
18
19
20
Answer: C
Question: Four years ago, the ratio of ages of P and Q was 5:3. Ten years from now, the ratio of their ages will be 6:5. What is P's age at present?
Choices:
12
13
14
15
Answer: C
Question: Complete the sequence:
C E I O ?
Choices:
W
S
D
Z
Answer: A
Question: Rose's grade was 70th percentile of the 60 grades for her class. Of the 40 grades from another class, 16 were higher than Rose's, and the rest were lower. If no other grade was the same as Rose's grade, then Rose's grade was what percentile of the grades of the two classes of two classes combined?
Choices:
66th
74th
82nd
85th
Answer: A
Question: The “a-number” of a number x is defined as the ones digit of 2^x. Antony rolls a die with 6 sides labeled with the integers from 1 to 6, each of which has an equal probability of landing face-up. He then takes 3^a, where a is the a-number of the result of his die roll, and plots 3^a on a number line as the point A. Finally, he repeats this entire process, this time plotting the result as the point B. What is the probability that the distance between A and B is greater than the value of B?
Choices:
13/36
17/36
19/36
23/36
Answer: A
Question: A present value of a machine is $800. Its value depletion rate is 10% per annum then find the machine value after 2 years?
Choices:
$810
$915
$715
$648
Answer: D
Question: If p and r are integers, and p^2 = 24r, then r must be divisible by which of the following?
Choices:
3
5
7
14
Answer: A
Question: A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 20 balls per box. If 76 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?
Choices:
1
4
6
8
Answer: A
Question: Ele, the circus Elephant, is currently three times older than Lyn, the circus Lion. In 15 years from now, Lyn the circus Lion will be exactly half as old as Ele, the circus Elephant. How old is Ele today?
Choices:
48
43
45
41
Answer: C
Question: Without any stoppage, a person travels a certain distance at an average speed of 42 km/h, and with stoppages he covers the same distance at an average speed of 28 km/h. How many minutes per hour does he stop?
Choices:
15 minutes
28 minutes
38 minutes
None of these
Answer: D
Question: Two wheels are connected via a conveyor belt. The larger wheel has a 40cm diameter and the smaller wheel has a 24cm diameter. In order for the conveyor belt to work smoothly, each wheel must rotate the exact same number of centimetres per minute. If the larger wheel makes r revolution per minute, how many revolutions does the smaller wheel make per hour in terms of r?
Choices:
75r
100r
24r
(64π)/3
Answer: B
Question: If difference between compound interest and simple interest on a sum at 10% P.a. for 2 years is Rs.150 then sum is
Choices:
s.15000
s.15800
s.16000
s.16200
Answer: A
Question: A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Choices:
20
99
18
11
Answer: A
Question: Three people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Choices:
1/2
3/2
4/7
None of them
Answer: A
Question: 1200 men have provisions for 18 days. If 450 more men join them, for how many days will the provisions last now?
Choices:
12.0
12.5
12.2
13.1
Answer: D
Question: If a+b+c=13, a2+b2+c2=69, then find ab+bc+ca
Choices:
50
20
94
25
Answer: A
Question: The letters E,A,W,D,S and R are rearranged to form the word 'Rewads'. Find its probability.
Choices:
1/720
1/680
1/760
1/53
Answer: A
Question: Each shelf of a bookcase contained 11 books. If the librarian took out 21 books and rearranged the remaining books so that all shelves but one contained 8 books and the last shelf contained 11 books, how many shelves does the bookcase have?
Choices:
8
4
3
2
Answer: A
Question: A square carpet with an area 169 m2 must have 2 metres cut-off one of its edges in order to be a perfect fit for a rectangular room. What is the area of rectangular room?
Choices:
164 m2
152 m2
143 m2
None of these
Answer: C
Question: One-third less than 20% of 180 is equal to:
Choices:
24
35
40
45
Answer: A
Question: Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on $4000 for 2 years at 10% per annum. The sum placed on simple interest is:
Choices:
$1750
$1250
$1500
$2000
Answer: A
Question: Average monthly income of a family of 4 earning members was Rs. 782. One of the earning members died and therefore, the average income came down to Rs 650. The income of the deceased was?
Choices:
Rs. 1178
Rs. 990
Rs. 1385
None
Answer: A
Question: At the start of the fall shopping season, a pair of boots cost $700. By the end of the season, the price was reduced to $420. If you waited to purchase the boots at the lower price, what percentage of the original price will you have paid?
Choices:
33%
50%
60%
75%
Answer: C
Question: Factor: 5x2 – 15x – 20.
Choices:
5(x-4)(x+1)
-5(x+4)(x-1)
5(x+4)(x+1)
6(x+4)(x+1)
Answer: A
Question: with the digits 1,2,3,4,5,6 make all 6 digit nos which r not divisible by 5. The no of such 6 digit no's is ?
Choices:
38,880
39,880
38,890
38,980
Answer: A
Question: Find the area of circle whose radius is 21m?
Choices:
1544
7674
1684
1386
Answer: D
Question: Average age of boys in a class is 16 years and average age of girls is 15 years, what is the average age of all
Choices:
15
16
17
Cant be computed
Answer: C
Question: A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:2, and the ratio of soap to salt is six times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. At that time, what is the ratio of water to salt in the solution?
Choices:
2:3
3:2
9:4
54:8
Answer: D
Question: In case R is the only individual sewing on committee B, which among the following shouldserve on committee A?
Choices:
V and T
U and S
T and S
T and U
Answer: C
Question: An unbiased die is tossed. Find the probability of getting a multiple of 6
Choices:
A)1/6
C)1/4
D)2/3
E)3/7
Answer: A
Question: Ravish has to secure 40% marks to clear his board exam of class 10th.
He got 40 marks and failed by 40 marks.
What is the maximum marks ?
Choices:
135
160
200
155
Answer: C
Question: At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 4/7 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
Choices:
7/10
3/5
4/5
5/8
Answer: A
Question: In the new budget, the price of rice rose by 20%. By how much percent must a common man reduce his consumption so that his expenditure on it does not increase?
Choices:
16.66%
15.8%
12%
None of these
Answer: A
Question: A tank contains 8,000 gallons of a solution that is 4 percent sodium chloride by volume. If 3,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choices:
4.40%
5.40%
6.40%
7.40%
Answer: C
Question: A and B start a business with Rs.3000 and Rs.9000 respectively. Hoe should they share their profits at the end of one year?
Choices:
1:5
1:3
3:1
3:2
Answer: B
Question: Car A runs at the speed of 65km/hr & reaches its destination in 5hr. Car B runs at the speed of 70 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
Choices:
12 : 7
13 : 7
15 : 6
65 : 56
Answer: D
Question: What is the ratio between perimeters of two squares one having 7 times the diagonal then the other?
Choices:
3: 6
3: 7
7: 1
3: 3
Answer: C
Question: Its a very poor village so sahara group organized a beneficiary cricket match for these people.
The event raised Rs300000.
Tickets were priced as follows:
Rs 748 for males
Rs 712 for ladies
Rs 45 for kids
How many males,ladies and kids were there ?
Choices:
120 males , 359 ladies & 72 kids
149 males , 259 ladies & 92 kids
150 males , 256 ladies & 92 kids
135 males , 259 ladies & 50 kids
Answer: B
Question: At what rate percent on simple interest will Rs.750 amount to Rs.1200 in 5 years?
Choices:
12
14
5
6
Answer: A
Question: If each term in the sum a1+a2+a3+.....+an is either 7 or 77 and the sum equals 350, which of the following could be equal to n?
Choices:
39
40
41
42
Answer: B
Question: Best friends Sprite and Icey have are playing a game of marbles. They invite 4 of their friends to play with them. There are 36 marbles in the bag. If all 6 people are playing, how many marbles does each person get?
Choices:
4
5
6
7
Answer: C
Question: Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choices:
13
11
10
None of these
Answer: C
Question: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is:
Choices:
77.5 km/hr.
87.5 km/hr.
97.5 km/hr.
37.5 km/hr.
Answer: B
Question: (1^2+2^2+3^2+.....+9^2)=?
Choices:
285
365
385
None of them
Answer: A
Question: Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 24km/hr, then find the area of square field.
Choices:
225
256
425
None of these
Answer: B
Question: Jill has 7 gallons of water stored in quart, half-gallon, and one gallon jars. She has equal numbers of each size jar holding the liquid. What is the total number of water filled jars?
Choices:
6
9
12
14
Answer: C
Question: When a certain number X is divided by 95, the remainder is 31. What is the remainder when X is divided by 19?
Choices:
11
12
15
17
Answer: B
Question: The lowest number which should be added to 5915 so that the sum is exactly divisible by 3, 5, 8 and 7 is:
Choices:
825
805
905
810
Answer: B
Question: (166)^2 - (167)^2 =
Choices:
100
229
329
335
Answer: D
Question: Ajay spends 20 per cent of his salary on house rent, 5 percent on food, 15 percent travel, 10 percent on clothes and the remaining amount of Rs.27000 is saved. What is Ajayâ€™s income?
Choices:
Rs.80500
Rs.54000
Rs.70500
None of these
Answer: B
Question: In a certain lottery drawing, two balls are selected at random from a container with 30 balls, numbered from 1 to 30, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?
Choices:
$9.90 x 10^6
$1.00 x 10^7
$1.05 x 10^7
$2.9*10^5
Answer: D
Question: Of the 350 people attending a conference, 150 have signed up for the Marketing workshop and 320 have signed up for the Accounting workshop. If 60 of the people attending did not sign up for either workshop, then the number of people who signed up for both the Marketing and the Accounting workshops is:
Choices:
180
245
260
275
Answer: A
Question: Average of 10 matches is 34, How many runs one should should score to increase his average by 4 runs.
Choices:
B)76
C)78
D)80
E)88
Answer: B
Question: John makes $65 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Choices:
7.69%
17.8%
19%
21%
Answer: A
Question: Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 6 questions, if Sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. How many of the 6 questions did Zachary answer correctly?
Choices:
7
8
9
10
Answer: A
Question: How many cubes of 8cm edge can be cut out of a cube of 16cm edge
Choices:
2
8
48
None of these
Answer: B
Question: If Y < X and XM > YM, what must be true?
Choices:
M >0.
X < 0.
M < 0.
Y < 0.
Answer: A
Question: A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 12 : 1 ?
Choices:
3 months
2 months
8 months
9 months
Answer: B
Question: The average age of boys in a class is 16 years and that of the girls is 15 years. What is the average age for the whole class?
Choices:
16
17
Insufficient Data
15.5
Answer: C
Question: A copy machine, working at a constant rate, makes 35 copies per minute. A second copy machine, working at a constant rate, makes 75 copies per minute. Working together at their respective rates, how many copies do the two machines make in half an hour ?
Choices:
2,700
3,300
5,400
324,000
Answer: B
Question: What is the sum of the integers from -90 to 95, inclusive?
Choices:
550
650
750
465
Answer: D
Question: If 96 is divided into four parts proportional to 5, 7, 4, 8 then the smallest part is :
Choices:
16
20
18
22
Answer: A
Question: Find the lowest common multiple of 10, 14 and 20.
Choices:
420
510
320
140
Answer: D
Question: The ratio 4:20 expressed as percent equals to
Choices:
20 %
55 %
65 %
None of above
Answer: A
Question: What do you get if you add 3 to 300 five times?
Choices:
310
320
303
309
Answer: C
Question: Three days ago, yesterday was the day before Sunday. What day will it be tomorrow?
Choices:
thursday
sunday
tuesday
wendesday
Answer: A
Question: Which one of the following can't be the square of natural number ?
Choices:
656565
521213
143642
643212
Answer: C
Question: Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 75 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
Choices:
26 : 15
13 : 7
15 : 6
13 : 6
Answer: A
Question: The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is ?
Choices:
290
119
139
132
Answer: B
Question: A farmer has 100337 seeds to plant throughout 9 acres. To evenly distribute the seeds, how many would he need to remove?
Choices:
3
4
0
1
Answer: B
Question: Which of the following integers is a divisor of(15!+15)?
Choices:
15
13
7
2
Answer: A
Question: At a certain university, 7 students from the 10-student history department and 5 students from the 7-student English department will be selected to form a 12-student committee. At a neighboring university, 2 students from a 10-person math department and 3 students from a 7-student science department will be selected to form a 5-student focus group. What is the ratio of the number of ways in which the 12-student committee can be formed to the number of ways in which the 5-student focus group can be formed?
Choices:
8/5
12/5
16/5
144/25
Answer: A
Question: The speed of a boat in upstream is 45 kmph and the speed of the boat downstream is 95 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
11 kmph
25 kmph
18 kmph
19 kmph
Answer: B
Question: How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
Choices:
77
66
28
60
Answer: D
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
Choices:
2778
6000
2889
6612
Answer: B
Question: Tickets to a certain concert sell for $20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 48 people bought tickets to the concert, what was the total revenue from ticket sales?
Choices:
$820
$850
$980
$1,140
Answer: A
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is ?
Choices:
0.5904
0.5978
0.5928
0.5917
Answer: A
Question: Rakesh invested an amount of Rs.12000 at the rate of 10% simple interest and another amount at the rate of 20% simple interest. The total interest earned at the end of one year on the amount invested became 14 p.c.p.a. Find the total amount invested .
Choices:
Rs.20000
Rs.24000
Rs.25000
Rs.27000
Answer: A
Question: Today is 70 days before Mariah's graduation. If she graduates on a Sunday, what day of the week is it today?
Choices:
Thursday
Friday
Saturday
Sunday
Answer: D
Question: A cargo ship carrying four kinds of items, doohickies, geegaws, widgets, and yamyams, arrives at the port. Each item weighs 2, 11, 5, and 7 pounds, respectively, and each item is weighed as it is unloaded. If, in the middle of the unloading process, the product of the individual weights of the unloaded items equals 149,072,000 pounds, how many widgets have been unloaded?
Choices:
3
4
5
6
Answer: A
Question: A survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe-benefit costs. If salary costs rose 3 percent and fringe-benefit costs rose 7.5 percent during 1993, then fringe-benefit costs represented what percent of employment costs at the beginning of 1993 ?
Choices:
10%
35%
55%
65%
Answer: A
Question: The respective ages of father and his son are 44 and 16 years. In how many years will the father be twice as old as his son ?
Choices:
9 years
10 years
15 years
12 years
Answer: D
Question: 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.
Choices:
11
12
13
14
Answer: B
Question: How many different subset of the set of the 12 Calendar Month will not have the Month of March.
Choices:
1948
1953
1947
1949
Answer: D
Question: In a mixture of 60 liters, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?
Choices:
86 liters
60 liters
34 liters
18 liters
Answer: B
Question: Ajay’s age is 125% of what it was 10 years ago, but 831/3 % of what it will be after ten years. What is his present age?
Choices:
50 years
55 years
60 years
65 years
Answer: A
Question: A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choices:
4.5 hrs
2.9 hrs
7.2 hrs
8.6 hrs
Answer: A
Question: Arnold and Danny are two twin brothers that are celebrating their birthday. The product of their ages today is smaller by 13 from the product of their ages a year from today. What is their age today?
Choices:
6.
5.
7.
9.
Answer: A
Question: P can complete a piece of work in 18 days & B can do the same piece of work in 15 days. They started working together but after 3 days P left & Q alone completed the remaining work. The whole work was completed in how many days?
Choices:
12.5 days
13 days
13.5 days
15.5 days
Answer: A
Question: If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -.
Choices:
4/13
3/5
9/7
1/4
Answer: A
Question: Mr X mixed 10 kg of variety A rice with 15 kg of variety B rice and sold the mixture at a price 40% more than that of A. He did not get any profit.What is the ratio of the cost price of variety A to that of B per kg?
Choices:
3:5
4:5
5:8
8:5
Answer: A
Question: What is the greatest prime factor of (11! × 10!  + 10! × 9!)/111?
Choices:
3
5
7
11
Answer: C
Question: Two trains, each 100 meters long, moving in opposite directions, completely pass each other in 16 seconds. If one train is moving twice as fast the other, then what is the speed of the faster train (in km/hr)?
Choices:
30 km/hr
36 km/hr
42 km/hr
48 km/hr
Answer: A
Question: Find the 10th term of the arithmetic progression 1, 3.5, 6, 8.5,...?
Choices:
23.5
22.5
18.25
19.5
Answer: A
Question: A candidate scoring 25% in an examination fails by 30 marks , while another candidate scores 50 % mark, gets 20 marks more than the minimum pass marks . Find the minimum pass marks. Find the minimum pass percentage.
Choices:
40%
50%
55%
60%
Answer: A
Question: A basketball team scored x points per game in its first n games of the season, and in all the following games it scored an average (arithmetic mean) of y points per game. What was the average number of points per game in its first n + 7 games?
Choices:
x + y/(n + 3)
(x + 3y)/(n + 3)
(nx + 3y)/(n + 7)
(3x + ny)/(n + 3)
Answer: C
Question: 0.0004?=0.02
Choices:
0.02
2
20
None of these
Answer: A
Question: The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $40,000?
Choices:
$40,000.
$38,976.
$39,679.
$36,796.
Answer: B
Question: A tyre has two punctures. The first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat ?
Choices:
3 2/5min
3 3/5min
3 4/5min
3 min
Answer: B
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
Choices:
17 m
82 m
28 m
26 m
Answer: A
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Choices:
Rs. 4991
Rs. 6001
Rs. 6991
None
Answer: A
Question: Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 30 items in the same time Machine Z produces 24 items. If machine Y takes 36 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?
Choices:
90
9 1/2
45
13 1/2
Answer: C
Question: A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Choices:
Rs.250
Rs.228
Rs.229
Rs.226
Answer: A
Question: On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 10% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?
Choices:
18%
15%
22%
11.11%
Answer: D
Question: What is the are of an equilateral triangle of side 6 cm?
Choices:
9√3
7√3
4√3
3√3
Answer: A
Question: John left home and drove at the rate of 50 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?
Choices:
245 miles.
255 miles.
265 miles.
275 miles.
Answer: C
Question: If a large pizza has a radius that is 10% larger that that of a medium pizza, what is the percent increase in area between a medium and a large pizza?
Choices:
21%
25%
30%
36%
Answer: A
Question: When you multiply a number by 4 and
then subtract 6, the result is the same as
if you first subtracted 6 from the same
number and then multiplied by 10. What
is the number?
Choices:
B)9
C)19
D)31
E)10
Answer: A
Question: The ages of two persons differ by 16 years. 4 years ago, the elder one was 3 times as old as the younger
one. What are their present ages of the elder person
Choices:
20
28
30
35
Answer: B
Question: There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
Choices:
3120
3972
6240
5240
Answer: B
Question: How many numbers with 3 different digits can be formed using only the even-numbered digit?
Choices:
12
40
60
120
Answer: A
Question: An electric motor makes 2,800 revolutions per minutes. How many degrees does it rotate in one second?
Choices:
16.800 d/sec
38.000 d/sec
26.000 d/sec
35.000 d/sec
Answer: A
Question: In how many ways can the letters of the word ARRANGED be arranged?
Choices:
20160
20120
21021
20170
Answer: A
Question: Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 49 years. What will be the age of the B ten years hence?
Choices:
23
28
98
26
Answer: C
Question: Find compound interest on $ 4000 at 15% per annum for 2 years 4 months, compounded annually.
Choices:
1554.5
1108.5
1107.5
1100.5
Answer: A
Question: A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
Choices:
2 1/4
2 1/6
2 1/5
2 1/2
Answer: A
Question: A train 400 m long passes a man, running at 7 km/hr in the same direction in which the train is going, in 30 sec. The speed of the train is?
Choices:
40 km/hr
41 km/hr
42 km/hr
43 km/hr
Answer: B
Question: A positive number x is multiplied by 4, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
Choices:
3/2
4/3
2/3
1/2
Answer: B
Question: In a family 16 people eat only vegetarian, 9 people eat only non veg., 12 people eat both veg and non veg.. How many people eat veg in the family?
Choices:
28
22
31
21
Answer: A
Question: A house seller can deduct 5 percent from the total sales value. If he has sold 5 houses, and the price of two houses is between $150,000 and $250,000, one of them is $350,000 house, two houses are between $500,000 and 750,000, what is the range of his revenue?
Choices:
782.5
780
790
800
Answer: A
Question: According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 15 - ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
Choices:
20
50
67
100
Answer: A
Question: If 9^y = 3^12, what is y?
Choices:
3
4
5
6
Answer: D
Question: What is the sum of the digits of integer k, if k = (10^30- 54)
Choices:
261
262
269
278
Answer: B
Question: A person buys an article at Rs.350. At what price should he sell the article so as to make a profit of 30%?
Choices:
455
269
261
281
Answer: A