antoine-444/aqua_rat_dataset huggingface dataset:
Question: Four circular cardboard pieces, each of radius 7cm are placed in such a way that each piece touches two other pieces. The area of the space encosed by the four pieces is
Four circular cardboard pieces, each of radius 7cm are placed in such a way that each piece touches two other pieces. The area of the space encosed by the four pieces is
Choices:
87
42
767
27
Answer: B
Question: If 23 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then in how many points do they intersect?
Choices:
253
342
458
560
Answer: A
Question: Farmer Charlie has a chicken farm. On a certain day, Charlie calculates in how many days he will run out of chicken-food. He notices that if he would sell 75 of his chickens, he could feed the remaining chickens twenty days longer with the chicken-food he has, and that if he would buy 100 extra chickens, he would run out of chicken-food fifteen days earlier.
One chicken lays two eggs in three days. How many eggs do three chickens lay in nine days?
Choices:
17
18
20
23
Answer: B
Question: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
Choices:
1hour
3hour
4hour
5hour
Answer: A
Question: Two numbers are in the ratio 3 : 4. If their L.C.M. is 72. what is sum of the numbers?
Choices:
42
76
84
85
Answer: A
Question: Youseff lives x blocks from his office. It takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work. It is takes him exactly 14 minutes more to walk to work than to ride his bike to work, then x equals?
Choices:
7
10
15
21
Answer: D
Question: In how many E ways can the wordGMATbe arranged so that no such arrangement has A as the first letter?
Choices:
12
18
24
30
Answer: B
Question: A, B, K start from the same place and travel in the same direction at speeds of 30km/hr, 40km/hr, 60km/hr respectively. B starts seven hours after A. If B and K overtake A at the same instant, how many hours after A did K start?
Choices:
4.5
4
d) 5.5
e) 14
Answer: D
Question: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
Choices:
6 2/3%
7 2/3%
6 5/3%
4 2/3%
Answer: A
Question: If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
Choices:
277
585
676
181
Answer: B
Question: In an exam, Amar scored 49 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
Choices:
344
207
269
208
Answer: A
Question: X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
2:1
2:5
2:3
6:1
Answer: A
Question: With both inlets open, a water tank will be filled with water in 36 minutes. The first inlet alone would fill the tank in 2 hours. If in every minutes the second inlet admits 50 cubic meters of water than the first, what is the capacity of the tank ?
Choices:
4,500
1,750
1,000
2,000
Answer: A
Question: What is the greatest of 3 consecutive integers whose sum is 27 ?
Choices:
7
8
9
11
Answer: D
Question: The difference between the simple and the compound interest compounded every six months at the rate of 10% p.a. at the end of two years is 124.05. What is the sum?
Choices:
6,000
12,000
8,000
None of these
Answer: C
Question: Maria sold 10kg of apples in her first hour at the market, but only 2kg of apples in the second hour. On average, how many kg of apples did she sell in two hours at the market?
Choices:
6 kg
12 kg
24 kg
20 kg
Answer: A
Question: If 3 cards are selected at random from the deck of 52 cards then What is the probability of one of the selected cards will be King, one of them will be Queen and one of them will be Jack?
A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit
Choices:
48/5525
16/5525
8/16575
1/2197
Answer: B
Question: Tough and Tricky questions: Combinations.
Nine students - 4 boys and 5 girls - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another?
Choices:
36
72
240
5760
Answer: D
Question: The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 Km/hr. At what time will they meet?
Choices:
11 a.m
10 a.m
12 noon
None of these
Answer: A
Question: If there are 9 horizontal lines and 9 vertical lines in a chess board, how many rectangles can be formed in the chess board?
Choices:
1268
1244
1296
1308
Answer: C
Question: Jessica can text 125 words per minute, while Maurice can text 10 words per minute. An abridged English translation of Tolstoy’s War and Peace contains 410,400 words. Working together, how many days will it take Jessica and Maurice to text the entire abridged translation of War and Peace?
Choices:
2.1
3
9
11.3
Answer: A
Question: A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 18 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
Choices:
3/10
1/2
7/25
9/10
Answer: C
Question: The cash difference between the selling prices of an article at a profit of 6% and 8% is Rs 3. The ratio of two selling prices is
Choices:
52:53
53:54
54:55
None of these
Answer: B
Question: In how many years will a sum of money doubles itself at 5% per annum on simple interest?
Choices:
20
99
88
76
Answer: A
Question: Which of the following points is symmetric with y=x at (1,2)?
Choices:
(-2,1)
(2,1)
(-1,-2)
(-1,2)
Answer: B
Question: A machine puts c caps on bottles in m minutes. How many seconds will it take to put caps on b bottles?
Choices:
60bm/c
bc/60m
60b/cm
b/60cm
Answer: A
Question: Oak trees line both sides of a street for a length of 6/8 of a kilometer. If there is 12 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street?
Choices:
a)	59
c)	24
d)	44
e)	46
Answer: A
Question: A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?
Choices:
8 days
6 days
8 days
9 days
Answer: A
Question: For any integer n greater than 1, n* denotes the product of all the integers from 1 to n, inclusive. How many prime numbers T are there between 6* + 2 and 6* + 6, inclusive?
Choices:
None
Two
Three
Four
Answer: A
Question: The ratio of males to females in a class is 2:3. The career preferences of the students in the class are represented in a circle graph. If the area of the graph allocated to each career preference is proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one-half of the males and three-fourths of the females in the class?
Choices:
226
234
242
250
Answer: B
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
33 1/9%
33 1/3%
33 8/3%
33 2/3%
Answer: B
Question: How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7, 8, 9}(repetition of digits is not allowed)?
Choices:
840
278
279
274
Answer: A
Question: (1^2+2^2+3^2+.....+12^2)=?
Choices:
345
365
385
650
Answer: D
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Choices:
278 m
278 m
150 m
276 m
Answer: C
Question: Two friends want to buy a snack. They combine their money and find they have $3.10, consisting of quarters, dimes, and nickels. If they have 28 coins and the number of quarters is half the number of nickels, how many quarters do they have?
Choices:
4
5
6
7
Answer: C
Question: Given a collection of points P in the plane a 1-set is a point in P that can be separated from the rest by a line; i.e the pint lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P) . The maximum value of n1(P) over all configurations P of 4 points in the plane is
Choices:
1
3
4
5
Answer: A
Question: John received a 10% raise each month for three consecutive months. What was his salary after the three raises if his starting salary was $1,000 per month?
Choices:
$1,300
$1,331
$1,410
$1,463
Answer: B
Question: The radius of a semi circle is 6.3 cm then its perimeter is?
Choices:
32.4
32.1
32.9
32.3
Answer: A
Question: In a survey about potential presidential candidates A and B, 39% of the public like A and 57% like B. If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that like neither?
Choices:
28%
43%
22%
61%
Answer: A
Question: A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 40 percent of the drive from the center, what percent of the round-trip has the technician completed?
Choices:
70%
25%
40%
55%
Answer: A
Question: What is the square root of 261,121?
Choices:
489
497
511
524
Answer: C
Question: B is 50% less efficient than A. How much time will they, working together, take to complete a job which A alone could have done in 15 days?
Choices:
9 days
10 days
15 days
None of these
Answer: A
Question: 14 men can complete a piece of work in 25 days. In how many days can 20 men complete that piece of work?
Choices:
15.5 days
17.5 days
16.5 days
18.5 days
Answer: B
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Choices:
29.22
29.25
23.25
29.28
Answer: B
Question: The average weight of a group of 30 friends increases by 10 kg when the weight of additional 30 friends was added. If average weight of the whole group after including the additional 30 members is 40 kg, what is the average weight of the additional friends?
Choices:
50 kg
61 kg
62 kg
91 kg
Answer: A
Question: If p^2 – 13p + 40 = h, and p is a positive integer between 1 and 10, inclusive, what is the probability that h < 0?
Choices:
1/5
2/5
3/5
3/10
Answer: A
Question: A man walks at a rate of 10 mph. After every ten miles, he rests for 5 minutes. How much time does he take to walk 50 miles?
Choices:
318
320
324
330
Answer: B
Question: A cyclist bikes x distance at 12 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
Choices:
8.3
9.6
8.9
9.0
Answer: B
Question: There are two bags, one of which contains 5 red and 7 white balls and the other 3 red and 12 white balls. A ball is to be drawn from one or other of the two bags ; find the chances of drawing a red ball.
Choices:
17/120
27/120
37/120
47/120
Answer: C
Question: The triplicate ratio of 1:3 is?
Choices:
1:8
1:27
1:2
1:1
Answer: B
Question: A man two flats for $675958 each. On one he gains 12% while on the other he loses 12%. How much does he gain or lose in the whole transaction?
Choices:
1.44%
3.12%
4.65%
5.12%
Answer: A
Question: Which is the middle even number between 4 and 12?
Choices:
12
14
8
22
Answer: C
Question: 3889 + 12.674 - ? = 3854.002
Choices:
B)47.752
C)47.932
D)47.95
E)47.672
Answer: D
Question: It takes John 20 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
Choices:
7:45
6
5
4
Answer: A
Question: The length of the bridge, which a train 160 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
777
282
266
215
Answer: D
Question: A cyclist rides a bicycle 9 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 9 km/hr. What is the average speed for the entire trip?
Choices:
9.8
10.1
10.6
11.2
Answer: B
Question: A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
Choices:
277
600
275
221
Answer: B
Question: For how many values of B, is |||B - 5| -10| -5| = 2?
(Those ls are mods)
Choices:
2
4
8
More than 8
Answer: C
Question: A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will be the member chosen to be the secretary ?
Choices:
1/80
1/10
1/9
1/5
Answer: B
Question: Of the five numbers in a sequence, the first term is 10,000, and each of the following terms is 20% of the previous term. What is the value range of the five numbers?
Choices:
9,750
9,975
9,984
10,736
Answer: C
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
270
267
255
552
Answer: A
Question: A club with a total membership of 40 has formed 3 committees, M, S and R, which have 8, 12 and 5 members respectively. If no members of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees?
Choices:
7
8
10
20
Answer: D
Question: In a school with 640 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years 9 months, then the number of girls in the school is
Choices:
160
250
350
None
Answer: A
Question: The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Choices:
16, 28, 36
20, 35, 45
None of these
cannot be determined
Answer: A
Question: Tap ‘A’ can fill a water tank in 25 minutes, tap ‘B’ can fill the same tank in 40 minutes and tap ‘C’ can empty that tank in 30 minutes. If all the three taps are opened together, in how many minutes will the tank be completely filled up or emptied?
Choices:
15 5⁄13
8 2⁄13
31 11⁄19
None of these
Answer: C
Question: A is twice as fast as B. If B alone can do a piece of work in 30 days, in what time can A and B together complete the work?
Choices:
10
27
24
92
Answer: A
Question: If x is a positive, single-digit integer such that 4/3*x, 2x, x, and x + 3, and 3x – 2 form a non-ordered list of consecutive integers, which of the following could be the median of that list?
Choices:
4
5
6
8
Answer: C
Question: Becky sets up a hot dog stand in her busy neighborhood and purchases x pounds of hot dogs for v dollars per pound. If she has to throw away s pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for d dollars per pound, which of the following represents the net profit on the sale of the hot dogs?
Choices:
xv – (xd – sd)
xd – sv
(x – s)d – xv
(s – v)d – xv
Answer: C
Question: From below option 50 is divisible by which one?
Choices:
2
7
8
9
Answer: A
Question: The figure above shows the dimensions of a semicircular cross section of a one-way tunnel. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane, what should be the limit U on the height of vehicles that are allowed to use the tunnel?
Choices:
7½ ft
8 ½ ft
9½ ft
10 ft
Answer: A
Question: Find the value of 18396 x 9999 = m?
Choices:
183941604
183851704
183951714
183768244
Answer: A
Question: Which of the following is closest to 10^180 – 10^10 ?
Choices:
10^90
10^150
10^180
10^6
Answer: C
Question: If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
Choices:
334
364
356
346
Answer: B
Question: Sasha likes to go biking on the weekends. One Saturday, she leaves home and heads east at 10 AM. She travels 12 miles per hour for three hours, then 18 miles per hour for the next two hours. She turns around to head home after a short water break, how fast does Sasha need to ride, in miles per hour, to get home at 5 PM?
Choices:
18
19
20
21
Answer: C
Question: The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
Choices:
8721
2772
9927
2388
Answer: A
Question: A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
Choices:
7
3
8
5
Answer: C
Question: Product of two natural numbers is 3. Then, the sum of reciprocals of their squares is
Choices:
10/9
290/90
290/19
None of these
Answer: A
Question: Four hundred multiples of seven are chosen at random, and 100 multiples of eight are chosen at random. Approximately what percentage of the 500 selected numbers are odd?
Choices:
25%
40%
50%
80%
Answer: B
Question: A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.35 per metre of cloth. How much profit will the trder earn on 40 metres of cloth?
Choices:
Rs.1500
Rs.1000
Rs.1400
None of these
Answer: C
Question: How many 3-digit even numbers are possible such that if one of the digits is 5, the next/succeeding digit to it should be 1?
Choices:
5
365
405
495
Answer: A
Question: Ramu was facing East. He walked 4 km forward and then after turning to his right walked 6
km. Again he turned to his right and walked 7 km. After this he turned back. Which direction
was he facing at the time?
Choices:
East
South
West
none
Answer: A
Question: If $6000 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?
Choices:
6000 (3+1.056)
6000 (1+3(0.056))
6000 (1+(0.056)^3)
6000 (1.056)^3
Answer: D
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.220
Rs.127
Rs.221
Answer: A
Question: If in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it, then what will be the maximum number of the small boxes that can be kept in it?
Choices:
1000
2799
2787
9771
Answer: A
Question: A company has 15 managers and 75 associates. The 15 managers have an average salary of $180,000. The 75 associates have an average salary of $30,000. What is the average salary for the company?
Choices:
$45,000
$55,000
$65,000
$75,000
Answer: B
Question: If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
15 * 17 * 19 =?
Choices:
49
68
38
338
Answer: D
Question: Find the highest value of 'a' so that 36500a is divisible by 8.
Choices:
8
0
2
1
Answer: A
Question: A certain number of men can do a work in 60days. If there were 8 men less it could be finished in 10days more. How many men are there?
Choices:
56
60
45
36
Answer: A
Question: If a and b are odd integers, which of the following is an even integer?
Choices:
2(a-b)+a
2(a-b)+b
2(a-b)+ab+a
2(a-b)+4a+b
Answer: C
Question: Two taps can separately fill a cistern 8 minutes and 12 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Choices:
8
6.5
9
5
Answer: B
Question: Given that E and F are events such that P(E) = 0.16, P(F) = 0.4 and P(E n F) = 0.4,
find P (E|F) and P(F|E)
Choices:
1/4
1/9
1/11
1/13
Answer: A
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Choices:
6887
6728
6725
2871
Answer: C
Question: An investment W gained an interest payment of $250 each month when the annual interest rate was 8%, how much more should we invest annually if we want to gain 12% more per month with a new annual interest rate of 7.5% ?
Choices:
$9,100
$8,250
$7,300
$7,150
Answer: C
Question: A car owner buys petrol at Rs 7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year ?
Choices:
7.98
6.98
4.98
2.98
Answer: A
Question: Arun borrowed a sum for 4 years on S.I. at 12%. The total interest paid was Rs. 360. Find the Principal.
Choices:
360
480
560
750
Answer: D
Question: A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was
Choices:
6 days
7 days
9 days
8 days
Answer: C
Question: The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
Choices:
1: 0
1: 9
1: 4
1: 2
Answer: B
Question: A group of four girls and three boys have tickets for seven adjacent seats in one row of a theater. If the three girls will not sit in three adjacent seats, how many possible different seating arrangements are there for these 7 theatre-goers?
Choices:
7! – 4!3!
7 × 2!3!2!
2!3!2!
7! – 5!3!
Answer: D
Question: Jose is uploading a file to the internet for a college project. The file weighs 160 megabytes. If Jose's internet speed for uploading tops 8 megabytes per minute, how long will it take until the upload is completed?
Choices:
45 minutes
20 minutes
5 minutes
1 hour and 10 minutes
Answer: B
Question: If c is 14% of a and 40% of b, what percent of a is b?
Choices:
15%
25%
35%
250%
Answer: C
Question: Using all the letters of the word "TEN", how many words can be formed, which begin with N and end with A?
Choices:
1
8
9
2
Answer: A
Question: Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 3 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
Choices:
10 : 5
15 : 2
20 : 2
25 : 2
Answer: D
Question: What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?
Choices:
42
45
46
49
Answer: A
Question: A city had 800 migrants in the year 2000. Since then, The number of migrants in a countrythe city has doubled every 2 years. If there were 800 migrants in the country in the year 2000, What was the increase in the population of migrants during the period from 2006 to 2008?
Choices:
4400
5400
6400
8800
Answer: C
Question: On a map, 3 centimeters represents 33 kilometers. Two cities 209 kilometers apart would be separated on the map by how many centimeters?
Choices:
19
13
110
180
Answer: A
Question: The average of 25 result is 18.The average of 1st 12 of them is 14 & that of last 12 is 17.Find the 13th result.
Choices:
48
36
78
52
Answer: C
Question: The distance that light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 10 years is:
Choices:
999× 1238 miles
346 × 1012 miles
247 × 1012 miles
587 × 10^11 miles
Answer: D
Question: A 20% stock yielding 10% is quoted at :
Choices:
110
200
120
160
Answer: B
Question: The rate of inflation was 1000%. Then what will be the cost of an article, which costs 6 units of currency now, 2 years from now?
Choices:
626
547
726
None of these
Answer: C
Question: What is the perimeter of a regular polygon with sides of length 15 cm and internal angles measuring 130° each?
Choices:
108 cm
120 cm
132 cm
144 cm
Answer: A
Question: 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, (...)
Choices:
67
48
59
45
Answer: A
Question: Mike weighs twice as much as Mary. Mike's weight is 150% of Michelle's weight. Alan weighs 20% more than Charlie. Charlie weighs 160% of Mary's weight. Which of these 5 people weighs the highest?
Choices:
Mike
Michelle
Alan
Charlie
Answer: A
Question: The diameter of the driving wheel of a bus in 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 11 kmph?
Choices:
52.85
23.26
41.67
25.15
Answer: C
Question: Anil invested a sum of money at a certain rate of simple interest for a period of five years. Had he invested the sum for a period of nine years for the same rate, the total intrest earned by him would have been sixty percent more than the earlier interest amount. Find the rate of interest p.a.
Choices:
9%
12.5%
Cannot be determined
None of these
Answer: C
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
50
77
66
45
Answer: A
Question: Which of the following is closer to √0.8+√0.1?
Choices:
0.7
0.9
1.1
1.2
Answer: D
Question: In an office, 60 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Choices:
96
50
144
160
Answer: A
Question: The list price of a watch is 160. A retailer bought the same watch 122.40. He got two successive discounts one at 10% and the other at a rate which was not legible. What is the second discount rate?
Choices:
14%
15%
18%
None of these
Answer: B
Question: Angela, Bernie, and Colleen can complete a job, all working together, in 4 hours. Angela and Bernie, working together at their respective rates, can complete the same job in 6 hours. How long would it take Colleen, working alone, to complete the entire job?
Choices:
10 hours
12 hours
16 hours
24 hours
Answer: D
Question: If the price of an item is decreased by 20% and then increased by 20%, the net effect on the price of the item is
Choices:
A decrease of 4%
A decrease of 1%
A increase of 1%
none
Answer: A
Question: If log 2 = 0.3010 and log 3 = 0.4771 then the value of log 4.5 is:
Choices:
0.6532
0.3266
0.3796
none of these
Answer: A
Question: The number 155 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
Choices:
16
15
14
21
Answer: D
Question: A thief steels a car at 6a.m. and drives it at 60kmph. The theft is discovered at 7a.m. and the owner sets off in another car at 90 kmph. When will he overtake the thief?
Choices:
9a.m.
10a.m.
11.45a.m.
10.15a.m.
Answer: A
Question: Find the C.I. on a sum of Rs.1800 for 6 months at 20% per annum, interest being compounded quarterly?
Choices:
892
8920
802
9920
Answer: B
Question: For what value of x, is |x – 2| + |x + 5| + |x| = 17?
Choices:
3
-3
5
-5
Answer: C
Question: There are three guys who have equal number of bullets. All of them shoot 4 bullets. The remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division. What was the original number of bullets each one had?
Choices:
18
20
21
22
Answer: A
Question: A car was driving at 50 Km/h for 30 minutes, and then at 40 Km/h for another 30 minutes. What was its average speed?
Choices:
80.
70.
65.
54.
Answer: A
Question: If after 300 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used?
Choices:
220 grams
250 grams
350 grams
600 grams
Answer: D
Question: The average of the two-digit numbers, which remain the same when the digits interchange their positions, is:
Choices:
55
21
23
28
Answer: A
Question: Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1500. What is the gain or loss in percentage?
Choices:
21%
26%
20%
None of these
Answer: B
Question: a number divided by 34 leaves remainder 37 what is the remainder when same number divided by 9
Choices:
8
9
0
1
Answer: C
Question: 9.4 , 9.9 , 9.9 , 9.9 , 10.0 , 10.2 , 10.2 , 10.5
The mean and the standard deviation of the 8 numbers shown above is 10 and 0.3 respectively. What percent of the 8 numbers a re within 1 standard deviation of the mean?
Choices:
85%
80%
75%
70%
Answer: C
Question: The average age of 15 men of a group is 18 years. Out of these, the average age of 5 men is 14 years and that of the other 9 men is 16 years. The age of the 15th man is?
Choices:
17 years
56 years
14 years
12 years
Answer: B
Question: How many three letter words are formed using the letters of the word TIME?
Choices:
28
27
24
91
Answer: C
Question: Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even ?
Choices:
3/4
7/4
1/2
None of these
Answer: A
Question: A carpenter makes 4 bunk beds every day. A military school needs to organize a place to sleep for 143 soldiers. If there are 5 carpenters working on the job, how many whole days in advance should they receive the order and start working in order to finish the right number of beds assuming that each bunk- bed is used by two soldiers?
Choices:
4.
5.
6.
7.
Answer: B
Question: In the fifth grade at Parkway elementary school there are 420 students. 312 students are boys and 250 students are playing soccer. 82% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
Choices:
63.
81
91
108
Answer: A
Question: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Choices:
266
350
277
232
Answer: B
Question: For one cake, a recipe calls for 3 cups of milk, 2 cups of sugar, and 2 cups of flour. Sally wants to bake as many cakes as possible and has 27 cups of milk and 18 cups of flour. How many cups of sugar does she need?
Choices:
18
9
36
2
Answer: A
Question: A man sold 18 toys for Rs. 27300, gaining thereby the cost price of 3 toy find the cost price of a toy
Choices:
s. 800
s.500
s.900
s. 1300
Answer: D
Question: Mangala completes a piece of work in 20 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is
Choices:
6 days
8 days
10 days
12 days
Answer: D
Question: 27 is a perfect cube. When x is perfect cube which is added to the prime factor of 27, the result is not a prime number. What is the square root of x?
Choices:
4
6
8
10
Answer: B
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Choices:
675, Rs.1350
1350, Rs.675
1450, Rs.775
1550, Rs.875
Answer: A
Question: From the integer n, if n*n*n is odd, then what is true from below options?
Choices:
n*n is even
n is odd and n*n is even
n is even
None
Answer: B
Question: In how many different ways can the letters of the word ‘I’ be arranged?
Choices:
2
3
1
5
Answer: C
Question: On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?
Choices:
5
8
9
4
Answer: D
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 44 years. What will be the age of the B ten years hence?
Choices:
88
26
96
51
Answer: A
Question: Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:
Choices:
45
48
49
50
Answer: B
Question: A woman goes shopping during a door buster sale at JcPenney's. You are given a ticket with a random number on it when you arrive at the store. The number on the ticket is the pecent you get to take off of your total bill. The woman bought a shirt for $9.99, a pair of jeans for 19.99 and a jacket for $36.00. Her total was 65.98 before her secret door buster discount. If she paid 59.38 after her discount, What number did the woman have on her ticket?
Choices:
10
15
20
25
Answer: A
Question: Which of the following number is divisible by 4 and 9?
Choices:
2736
3954
3814
None of these
Answer: A
Question: A girl is organizing her jellybean collection in which each color has its own row. In each row, there are as many jellybeans as the number of jellybean colors. Her little brother chops each jellybean into the same number of peices as the number of jellybean colors. If the final number of jellybean pieces is m, then:
Choices:
m is an odd number
m is an even number
m is a perfect cube.
None
Answer: C
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 16km?
Choices:
6
8
9
7
Answer: B
Question: A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
271
108
27
28
Answer: B
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.3 years. The ration of the number of boys to the number of girls in the class is?
Choices:
5:6
2:5
2:1
2:4
Answer: A
Question: Line J has a y-intercept of 11 and passes through point (a,b). What is the slope of Line J in terms of a and b?
Choices:
(a−b)/6
(6−a)/b
(6−b)/a
(b-11)/a
Answer: D
Question: The sum of three consecutive integers is 102. Find the lowest of the three?
Choices:
53
29
33
35
Answer: C
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
Choices:
25%
18%
30%
40%
Answer: A
Question: A ribbon is cut into three smaller strips in the ratio 2:3:5. If the shortest of the three strips is 30 inches in length, what was the length, in inches, of the ribbon before it was cut?
Choices:
75
90
150
170
Answer: C
Question: The average daily wages of A, B and C is Rs 120. If B earns Rs 40 more than C per day and ,A earns double of what C earns per day, the wage of A per day is?
Choices:
Rs 120
Rs 160
Rs 100
Rs 140
Answer: B
Question: A political candidate collected $1,749 from a fund raising dinner. If each supporter contributed at least $50, what is the greatest possible number of contributors at the dinner?
Choices:
34
35
36
37
Answer: A
Question: The age of Somu is one-third his father's. 7 years back he was one-fifth of his father's age. What is his persent age ?
Choices:
13
14
12
10
Answer: B
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
225m
245m
250m
300m
Answer: B
Question: The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 800?
Choices:
10
9
7
6
Answer: B
Question: The rate of failure in an examination is 39.25%. Find the least number of total candidates appeared in the examination.
Choices:
200
300
400
500
Answer: C
Question: In the word CONTRACTUAL, the positions of the first and the eleventh letters are interchanged. Similarly, the positions of the second and the tenth letters are interchanged, and so on, up to the positions of fifth and seventh letters are interchanged, keeping the position of sixth letter unchanged. Which letter will be the third to the right of the sixth letter from the left end?
Choices:
N
T
A
None of these
Answer: A
Question: In an examination, 35% of students failed in quants and 42% of students failed in verbal while 14% failed in both the topics. If 222 students passed in both the topics, how many students appeared to write the examination?
Choices:
600
700
800
900
Answer: A
Question: Three coins are tossed. What is the probability of getting at most two tails?
Choices:
7/8
1/2
1/7
1/3
Answer: A
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
Choices:
8 years.
9 years.
10 years.
11 years.
Answer: C
Question: A can do a work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job?
Choices:
15/2
7/2
12
6
Answer: A
Question: In a 1000 m race, A beats B by 200 meters or 24 seconds. Find the speed of B?
Choices:
8.3
7
5
2
Answer: A
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
Choices:
6
8
65
4
Answer: A
Question: In a recent head-to-head run-off election, 12,000 absentee ballets were cast. 1/6 of the absentee ballets were thrown out and 3/5 of the remaining absentee ballets were cast for Candidate A. How many absentee votes did Candidate B receive?
Choices:
3,000
4,000
8,000
9,000
Answer: B
Question: The average height of 15 girls out of a class of 30 is 152 cm. and that of the remaining girls is 156 cm. The average height of the whole class is :
Choices:
151 cms
152 cms
154 cms
156 cms
Answer: C
Question: 10^25 - 360 is divisible by all of the following except:
Choices:
A.7
C.5
D.4
E.2
Answer: A
Question: Present ages of Kiran and Syam are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Syam's present age in years?
Choices:
22
23
25
24
Answer: D
Question: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Choices:
250
270
280
290
Answer: B
Question: A, B and C started a shop by investing Rs. 10,000, Rs. 20,000 and Rs. 30,000 respectively. At the end of the year, the profits were distributed among them. If Câ€™s share of profit be Rs. 9,000, then the total profit was :
Choices:
60,000
18,000
120,000
None
Answer: B
Question: problemsolvingproblemsolvingprob . . . . . . Find the 2015th term in the series?
Choices:
26
13
76
18
Answer: B
Question: If the area of circle is 1520 sq cm then its circumference?
Choices:
138
166
116
112
Answer: A
Question: In how many ways can the letters of word EMULATION be arranged such that NO two vowels appear together?
Choices:
5!*4!
4!*5!
5!*4!*2!
6!*4!
Answer: B
Question: Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers?
Choices:
65, 15
62, 18
60, 20
61, 30
Answer: A
Question: How many prime numbers are between 78/14 and 55/4?
Choices:
3
4
5
6
Answer: A
Question: 5 pears and 2 apples cost $16. 3 pears and 3 apples cost $15. How much does one apple cost?
Choices:
3.25
3
2.5
2
Answer: B
Question: Which of the following is the lowest positive integer that is divisible by 6, 7, 8, 9, and 10?
Choices:
2520
2980
3260
3680
Answer: A
Question: A lighting store is stocked with 410 fixtures. Some of the fixtures are floor lamps and the rest are table lamps. If 5% of the floor lamps and 30% of the table lamps are imported, what is the smallest possible number L of imported lamps stocked at the store?
Choices:
10
13
20
23
Answer: D
Question: If a coin is tossed three times, what is the probability that on the first toss the coin lands on tails and then lands on heads the next two tosses?
Choices:
1/8
1/4
1/2
1
Answer: A
Question: By selling 99 pens, a trader gains the cost of 9 pens. Find his gain percentage?
Choices:
9 7/3%
9 1/8%
9 1/3%
9 1/11%
Answer: D
Question: About the number of pairs which have 16 as their HCF and 121 as their LCM, the conclusion can be
Choices:
only two such pairs exist
many such pairs exist
many such pairs exist
such pair did not exists
Answer: D
Question: A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 6)%. In terms of x, how many species of bacteria will the group be able to model?
Choices:
(x)*(106 - x)
(100)(105 – x)
(100)(95 – x)
(x-5)/100
Answer: A
Question: In Township K each property is taxed at 8 percent of its assessed value. If the assessed value of a property in Township K is increased from $18,000 to $28,000, by how much will the property tax increase?
Choices:
$800
$320
$600
$850
Answer: A
Question: The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 24. What is the rate of interest per annum?
Choices:
2
9
4
6
Answer: C
Question: A sum of Rs. 2691 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Choices:
1656
1277
6298
1279
Answer: A
Question: Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
Choices:
268
269
600
278
Answer: C
Question: There are 4 runners on a track team who run an average of 4.5 seconds per 40 yards. If another runner joins their team who runs 4.3 seconds per 40 yards, what will the new average 40 yard time be?
Choices:
4.46
4.42
4.49
4.33
Answer: A
Question: Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 15 inches by 20 inches and Jordan's rectangle is 6 inches long, how wide is Jordan's rectangle, in inches?
Choices:
30
40
50
60
Answer: C
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 7 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choices:
8.9 hrs
9.3 hrs
7.2 hrs
8.6 hrs
Answer: B
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choices:
9 kmph
8 kmph
10 kmph
1 kmph
Answer: B
Question: On his drive to work, Leo listens to one of three radio stations A, B or W. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to W. If W is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.30 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
Choices:
0.09
0.417
0.657
0.9
Answer: C
Question: is twice as fast as B. If B alone can do a piece of work in 30 days, in what time can A and B together complete the work?
Choices:
10 days
16 days
11 days
18 days
Answer: A
Question: What will be the vulgar fraction of 0.70
Choices:
7/10
3/2
3/7
3/8
Answer: A
Question: 220, 218, 214, 208, 200, 190, ?
Choices:
140
147
178
189
Answer: C
Question: If the President and Vice President must sit next to each other in a row with 6 other members of the Board, how many different seating arrangements are possible?
Choices:
240
300
10080
720
Answer: C
Question: Of the science books in a certain supply room, 50 are on botany, 62 are on zoology, 83 are on physics. 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?
Choices:
321
166
285
324
Answer: A
Question: The present worth of Rs.169 due in 2 years at 4% per annum compound interest is
Choices:
Rs 156.25
Rs 157.25
Rs 158.25
None of these
Answer: A
Question: For prime numbers x and y, x^3*y^5=z^4. How many positive factors does positive integer z have?
Choices:
Two
Three
Four
Five
Answer: B
Question: A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage?
Choices:
40%
50%
80%
30%
Answer: B
Question: A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
Choices:
11 days
15 days
20 days
None of these
Answer: B
Question: Mike has forty-five cents. If mike gives away two nickles and a dime, how much money does he have left?
Choices:
16 cents
35 cents
25 cents
40 cents
Answer: C
Question: The value of a 10.5% stock, in which an income of Rs.756 is derived by investing Rs.9000, brokerage being% is :
Choices:
Rs. 119.7
Rs. 124.75
Rs. 130.75
Rs. 134.45
Answer: B
Question: Life expectancy is defined by the formula 2SB/G, where S = shoe size, B = average monthly electric bill in dollars, and G = GMAT score. If Melvin's GMAT score is twice his monthly electric bill, and his life expectancy is 60, what is his shoe size?
Choices:
60
35
40
50
Answer: A
Question: A car gets 60 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 170 kilometers?
Choices:
2.37 gallons
5.7 gallons
4.25 gallons
2.83 gallons
Answer: D
Question: Look at this series: 70, 71, 76, __, 81, 86, 70, 91, ... What number should fill the blank?
Choices:
70
80
90
96
Answer: A
Question: The manager at a health foods store mixes a unique superfruit juice cocktail that costs $1399.45 per litre to make. The cocktail includes mixed fruit juice and açai berry juice, which cost $262.85 per litre and $3104.35 per litre, respectively. The manager has already opened 33 litres of the mixed fruit juice. How many litres of the açai berry juice does he need to add?
Choices:
22 litres
11 litres
07 litres
38 litres
Answer: A
Question: A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.11 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
Choices:
1200
2832
1299
1320
Answer: D
Question: 189. The inside dimensions of a rectangular wooden box
are 12 inches by 14 inches by 16 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
Choices:
4
5
6
7
Answer: D
Question: If a fair coin is tossed six times, what is the probability of getting exactly five heads in a row?
Choices:
1/32
1/16
3/64
3/32
Answer: A
Question: If an integer r is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that r(r + 1)(r + 2) will be divisible by 8?
Choices:
3/8
1/2
5/8
3/4
Answer: C
Question: there are two sections A and B of a class consisting of 36 and 44 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class?
Choices:
37.25
12.54
32.37
23.47
Answer: A
Question: One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 18 cm2. Find the lengths of all sides.
Choices:
7 and 10
10 and 7
3 and 10
10 and 10
Answer: B
Question: Ella leaves her home and walks toward Ed's house. Two hours later, Ed leaves his home and walks toward Ella's house. The distance between their homes is 42 kilometers, Ella's walking speed is 5 km/h, and Ed's walking speed is 3 km/h. How many kilometers will Ella walk before she meets Ed?
Choices:
29
30
31
32
Answer: B
Question: John bought 9.25m of cloth for $407. Find the cost price per metre.
Choices:
47
58
44
54
Answer: C
Question: A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsaleble and there are 11 unsaleable mangoes in the crate then how msny mango are there in the crate?
Choices:
110 mangoes
120 mangoes
130 mangoes
125 mangoes
Answer: A
Question: four children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Children AB must sit next to each other, and child C must be somewhere to the right of AB. How many possible configurations are there for the children?
Choices:
560
1440
4320
4800
Answer: A
Question: John was thrice as old as Tom 6 yrs back. He will be 5/3 times as old as Tom 6 years hence. How old is Tom today?
Choices:
11
12
15
19
Answer: B
Question: A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance doubled to $6840. What is the average monthly balance maintained by John in his
account during the year?
Choices:
5680
6840
7540
34200
Answer: D
Question: n is a positive integer and k is the product of all integers from 1 to n inclusive. If k is a multiple of 1680, then what is the smallest possible value of n?
Choices:
6
7
10
12
Answer: B
Question: The average of first 16 even numbers is?
Choices:
18
16
11
17
Answer: D