antoine-444/aqua_rat_dataset huggingface dataset:
Question: Fifteen identical machines, running continuously at the same constant rate, take 10 days to complete a shipment. How many additional machines, each running at the same constant rate, would be needed to reduce the time required to complete a shipment by five days?
Choices:
3
4
6
9
Answer: D
Question: If the least common multiple of two prime numbers x and y is 10, where x > y, then the value of 2x + y is
Choices:
9
11
12
21
Answer: C
Question: When a is divided by b, the quotient is c with remainder 5. What is a in terms of 5, b, and c?
Choices:
5bc
5b/c
b/c
bc+5
Answer: D
Question: In a board game, a stack of 46 cards, 8 of which have pictures of fruit, are shuffled and then placed face down. If the first 2 cards selected do not have pictures of fruit, what is the probability that the third card selected will have a picture of fruit?
Choices:
2/11
1/8
3/7
4/23
Answer: A
Question: Seed mixture X is 40% ryegrass and 60% bluegrass by weight; seed mixture Y is 25% ryegrass and 75% fescue. If a mixture of X and Y contains 37% ryegrass, what percent of the weight of the mixture is from mixture X?
Choices:
40%
50%
60%
80%
Answer: D
Question: Jacob is now 13 years younger than Michael. If 9 years from now Michael will be twice as old as Jacob, how old will Jacob be in 4 years?
Choices:
8
15
21
25
Answer: A
Question: Lakshmi invested some money in 25% stock at 500.If Usha wants to invest in an equally good 50% stock ,he must purchase a stock worth of :
Choices:
Rs. 1000
Rs. 1300
Rs. 1400
Rs. 1500
Answer: A
Question: The size of a flat-screen television is given as the length of the screen’s diagonal. How many square inches greater is the screen of a square 24-inch flat-screen television than a square 17-inch flat-screen television?
Choices:
143.5
160
148.75
142.25
Answer: A
Question: A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son?
Choices:
28 years
29.3 years
28.8 years
28.9 years
Answer: C
Question: what is the sum of the first 25 odd natural numbers
Choices:
400
625
600
700
Answer: B
Question: Find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5.
Choices:
197
207
219
227
Answer: A
Question: Mike weighs twice as much as Mary. Mike's weight is 150% of Michelle's weight. Alan weighs 140% of Charlie's weight. Charlie weighs 180% of Mary's weight. Which of these 5 people weighs the highest?
Choices:
Mike
Michelle
Alan
Charlie
Answer: C
Question: A train 210 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
76 sec
12 sec
17 sec
Answer: C
Question: The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?
Choices:
2721
227
176
167
Answer: C
Question: There are 4 periods in each working day of a school. In how many ways can one organize 3 subjects such that each subject is allowed at least one period?
Choices:
36
24
34
None of these
Answer: A
Question: Which one of the following is not a prime number?
Choices:
3
5
9
7
Answer: C
Question: At a company, the average wage of male employees is $5 per hour, and the average wage of female employees is $8 per hour. If the average wage of all employees is $7.5 per hour, what is the ratio of the number of male employees to the number of female employees?
Choices:
1 to 5
3 to 2
5 to 3
2 to 1
Answer: A
Question: In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
Choices:
21/46
1/50
3/25
2/13
Answer: A
Question: Find the probability that a leap year selected at random will have 53 Mondays
Choices:
5/7
4/7
3/7
2/7
Answer: D
Question: A person X working alone can complete a work in 6 days. A person Y completes the same amount of work in 15 days, and a person Z when working alone can complete the same amount of work in 30 days. All three people work together for 2 days but then X and Y leave. How many more days does Z need to complete the work after X and Y leave?
Choices:
13
14
15
16
Answer: B
Question: A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:
Choices:
Rs. 330
Rs. 380
Rs. 430
Rs. 450
Answer: A
Question: A student committee on academic integrity has 30 ways to select a president and vice president from a group of candidates. The same person cannot be both president and vice president. How many candidates are there?
Choices:
8
9
6
11
Answer: C
Question: Three table runners have a combined area of 212 square inches. By overlapping the runners to cover 80% of a table of area 175 square inches, the area that is covered by exactly two layers of runner is 24 square inches. What is the area of the table that is covered with three layers of runner?
Choices:
20 square inches
24 square inches
28 square inches
30 square inches
Answer: B
Question: In how many different ways can the letters of the word ‘PREPTY’ be arranged?
Choices:
280
300
310
360
Answer: D
Question: The traffic lights at 3 different roads change after every 9 sec, 72 sec, 108 sec respectively. If they all change simultaneously at 9:15 AM then at what time will they again change simultaneously.
Choices:
9:18:36
10:15:24
9:54:12
10:01:20
Answer: A
Question: If 15% of 30% of 50% of a number is 108, then what is the number?
Choices:
3050
4400
4800
None of these
Answer: C
Question: A bike covers a certain distance at the speed of 64km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?
Choices:
85.34 km/h
87.67 km/h
90.25 km/h
90.64 km/h
Answer: A
Question: Two female friendstwo male friends will be pictured in a advertising photo. If the photographer wants to line them up in one row, with menwomen alternating. How many possible arrangements may she chose?
Choices:
1680
1152
576
8
Answer: D
Question: If P(A)=0.4, P(B)=0.6 and P(A ∪ B)=0.8. What is the value of P(A∩B')=?
Choices:
0.2
0.3
0.4
None
Answer: A
Question: 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
13
14
15
12
Answer: A
Question: When the positive integer z is divided by 9, the remainder is 5. What is the remainder when 3z is divided by 9?
Choices:
1
3
4
6
Answer: D
Question: How many three-digit integers between 310 and 400, exclusive, are divisible by 3 when the tens digit and the ones digit are switched?
Choices:
19
30
22
90
Answer: B
Question: A beats B by 20metres ,B beats C by20 metres in a 100 m race .By how much A beats C
Choices:
36metres
37metres
38metres
39metres
Answer: A
Question: 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Choices:
287
268
228
225
Answer: D
Question: A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?
Choices:
34 minutes
32 minutes
21 minutes
16 minutes
Answer: B
Question: The average of runs of a cricket player of 10 innings was 37. How many runs must he make in his next innings so as to increase his average of runs by 4 ?
Choices:
81
85
87
89
Answer: A
Question: How long does a train 145 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
Choices:
53.66
54.66
58.66
59.66
Answer: A
Question: A train 100 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
18 Kmph
72 Kmph
17 Kmph
91 Kmph
Answer: A
Question: A train covers a distance of 12 km in 10 min. If it takes 12 sec to pass a telegraph post, then the length of the train is?
Choices:
220
120
130
240
Answer: D
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along theoundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Choices:
134768
153600
168799
156789
Answer: B
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is ?
Choices:
7/15
7/16
7/12
7/11
Answer: A
Question: A manufacturer is using glass as the surface for the multi-touch screen of its smartphone. The glass on the manufactured phone has a 4% probability of not passing quality control tests. The quality control manager bundles the smartphone in groups of 10. If that bundle has any smartphone that does not pass the quality control test, the entire bundle of 10 is rejected.
What is the probability that a smartphone bundle that will be rejected by quality control?
Choices:
.05^10
1-0.95^10
1-0.05^10
1-0.96^10
Answer: D
Question: The sale price sarees listed for Rs.600 after successive discount is 20% and 5% is?
Choices:
358
456
787
191
Answer: B
Question: A group of medical interns at Bohemus Medical School want to go on dates. There are 6 girls and 6 guys. Assuming girls go on dates with guys, how many possible ways can these 12 medical interns date each other?
Choices:
B)420
C)520
D)620
E)720
Answer: D
Question: A grocer has a sales of Euro 520, Euro 320 , Euro 480, Euro 600 and Euro 800 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Euro 620?
Choices:
uro 4591
uro 2000
uro 7791
uro 1000
Answer: D
Question: It would take one machine 5 hours to complete a large production order and another machine 4 hours to complete the same order. How many hours would it take both machines, working simultaneously at their respective constant rates, to complete the order?
Choices:
B 20/9
C 7/19
D 5/21
E 3/4
Answer: A
Question: Mixture A is 20 percent oil, and mixture B is 60 percent oil. If the two are poured together to create a 4-gallon mixture that contains 40 percent oil, approximately how many gallons of mixture A are in the mixture?
Choices:
0.8
0.7
0.6
0.5
Answer: A
Question: A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 12 hours of the journey.
Choices:
352 km
642 km
742 km
492 km
Answer: D
Question: If a sum of money borrowed at 5 percent/annum SI amounts to Rs.1020 in 4 yrs, then the sum of money borrowed is?
Choices:
Rs. 850
Rs. 1000
Rs. 1200
Rs. 1230
Answer: A
Question: 3 pig’s and 10 hens are brought for Rs.1200. If the average price of a hen be Rs.30. What is the average price of a pig.
Choices:
300
400
425
275
Answer: A
Question: A girl swims downstream 48 km and upstream 18 km taking 6 hours each time; what is the speed of the current?
Choices:
2.3
2.1
2.5
2.4
Answer: C
Question: Which of the following numbers is divisible by each one of 3, 7, 9 and 11 ?
Choices:
2079
974
562
300
Answer: A
Question: If y ¤ q = y^(2q) for all positive integers, then (3 ¤ 4) ¤ 2 =
Choices:
3^12
3^16
3^24
3^32
Answer: D
Question: Two interconnected, circular gears travel at the same circumferential rate. If Gear A has a diameter of 10 centimeters and Gear B has a diameter of 50 centimeters, what is the ratio of the number of revolutions that Gear A makes per minute to the number of revolutions that Gear B makes per minute?
Choices:
9:25
5:1
25:9
Cannot be determined from the information provided
Answer: B
Question: If x/y = 5/3, then (x + y)/(x - y) = ?
Choices:
4
-1/6
-1/5
-5
Answer: A
Question: For all even numbers n, h(n) is defined to be the sum of the even numbers between 4 and n, inclusive. What is the value of h(12)/h(10) ?
Choices:
3
6
1.5
60
Answer: C
Question: Last year, sales at Company X were 10% greater in February than in January, 15% less in March than in Feb, 20% greater in April than in March, 10% less in May than in April, and 5% greater in June than in May. In which month were sales closest to Jan?
Choices:
Mar
Apr
May
June
Answer: C
Question: A boat running downstream covers a distance of 12 km in 2 hours while for covering the same distance upstream, it takes 3 hours. What is the speed of the boat in still water?
Choices:
5 kmph
4 kmph
6 kmph
7 kmph
Answer: A
Question: The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:
Choices:
107
111
185
none
Answer: B
Question: A person walking takes 26 steps to come down on a escalator and it takes 30 seconds for him for walking. The same person while running takes 18 second and 34 steps. How many steps are there in the escalator?
Choices:
46 steps
47 steps
48 steps
49 steps
Answer: A
Question: The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
Choices:
14 years
16 years
18 years
20 years
Answer: D
Question: A man can row upstream at 8kmph and downstream at 13 kmph. The speed of the stream is
Choices:
2.5 km/hr
5 km/hr
10.5 km/hr
None
Answer: A
Question: How much water must be mixed in 300 ml of sugar solution which contains 40% sugar by Weight, such that it becomes a 30% sugar solution?
Choices:
75 ml
90 ml
100 ml
120 ml
Answer: C
Question: The harmonic mean of two numbers xx and yy, symbolized as h(x,y)h(x,y), is defined as 2 divided by the sum of the reciprocals of xx and yy, whereas the geometric mean g(x,y)g(x,y) is defined as the square root of the product of xx and yy (when this square root exists), and the arithmetic mean m(x,y)m(x,y) is defined as x+y2x+y2. For which of the following pairs of values for xx and yy is g(x,y)g(x,y) equal to the arithmetic mean of h(x,y)h(x,y) and m(x,y)m(x,y)?
Choices:
x=−1, y=2
x=2, y=8
x=8, y=8
x=8, y=64
Answer: C
Question: Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
Choices:
14 min 70 sec
14 min 41 sec
14 min 40 sec
24 min 40 sec
Answer: C
Question: The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 60%?
I will see what is the quickest way to solve it then I will provide the explanation
Choices:
7
9
4
11
Answer: C
Question: How many liters of water must be added to 20 liters of milk and water containing 10% water to make it 50% water?
Choices:
12
14
16
18
Answer: C
Question: If x and y are integers and 3^(x-5) = 3^(y+2), what is y in terms of x?
Choices:
x - 7
x - 2
x + 2
x + 6
Answer: A
Question: Each of three investments has a 20% of becoming worthless within a year of purchase, independently of what happens to the other two investments. If Simone invests an equal sum Q in each of these three investments on January 1, the approximate chance that by the end of the year, she loses no more than 1/3 of her original investment is
Choices:
90%
70%
60%
40%
Answer: A
Question: Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how much money did he borrow?
Choices:
8000
2668
2600
2781
Answer: A
Question: The ratio between the sale price and the cost price of an article is 12:7. What is the ratio between the profit and the cost price of that article?
Choices:
2:5
3:6
5:7
2:1
Answer: C
Question: For the past n days, the average (arithmetic mean) daily production at a company was 60 units. If today's production of 90 units raises the average to 62 units per day, what is the value of n ?
Choices:
14
10
9
7
Answer: A
Question: During a certain week, a seal ate 45% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?
Choices:
48
55
64
80
Answer: A
Question: At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
Choices:
15 years
66 years
88 years
55 years
Answer: A
Question: The mean of four integers A will not change if all the integers are multiplied by any constant. What is always true about this set of numbers?
I. The mean of the set is 0
II. The sum of the largest member and the smallest member of the set is 0
III. The set contains both positive and negative integers
Choices:
I only
III only
I and II only
I, II, and III
Answer: A
Question: The average of five numbers is 281. The average of the first two numbers is 280 and the average of last two numbers is 178.5. What is the third number?
Choices:
88
16
19
11
Answer: A
Question: a is an integer greater than 9 but less than 21, b is an integer greater than 19 but less than 31, what is the range of a/b?
Choices:
1/2
2/3
1
5/4
Answer: B
Question: A certain manufacturer increased its gross profit on a product from 10 percent of the cost of the product to 15 percent of the cost by changing the selling price. If the new selling price was $92.00 and the cost of the product remained the same, what was the old selling price?
Choices:
$80.00
$83.64
$87.40
$88.00
Answer: D
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
77
60
12
14
Answer: B
Question: A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:5, and the ratio of soap to salt is four 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 quartered by water evaporation. At that time, what is the ratio of water to salt in the solution?
Choices:
9:100
12:100
12:20
13:100
Answer: A
Question: A sum of 1200 lent at S.I at 10% will become twice in how many years?
Choices:
14 years
10 years
8 years
7 years
Answer: B
Question: The banker's discount on a certain sum due 2 years hence is 11/10 of the true discount.The rate percent is
Choices:
10%
5%
5.5%
6%
Answer: B
Question: A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
Choices:
2970
2782
4200
2081
Answer: C
Question: A certain bacteria colony doubles in size every day for 20 days, at which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit?
Choices:
7.5
10
15
19
Answer: D
Question: A committee is reviewing a total of 20x black-and-white films and 6y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction E of the selected films are in color?
Choices:
1/5
3/13
10/13
30/31
Answer: D
Question: A teacher will pick a group of 3 students from a group of 7 students that includes Bart and Lisa. If one of all the possible 3-student groups is picked at random, what is the probability of picking a group that includes both Bart and Lisa?
Choices:
1/7
1/4
1/3
3/7
Answer: A
Question: A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, thereby increasing his average by 6 runs. His new average is :
Choices:
46 runs
48 runs
49 runs
47 runs
Answer: B
Question: A thief is spotted by a policeman from a distance of 175 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?
Choices:
200m
400m
700m
None of them
Answer: C
Question: What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the second?
Choices:
1200
1349
1430
1340
Answer: B
Question: Consider the set (0.34,0.304,0.034,0.43) The sum of the smallest and largest numbers
in the set is
Choices:
0.734
0.077
0.464
0.338
Answer: C
Question: If the perimeter of a rectangular garden is 800 m, its length when its breadth is 100 m is?
Choices:
899 m
300 m
166 m
187 m
Answer: B
Question: Bill has 75 cents in his pocket. He walks up to a food stand and asks how much for a hot dog. The vendor just raised the price of his hot dogs by 10% but believes Bill is down on his luck and so he sells the hot dog to Bill for 75 cents which is exactly 75% of his new price for hot dogs. What is the difference in the new price of hot dogs and the price the vendor sold a hot dog to Bill for?
Choices:
17.5%
12.5%
14.5%
15.0%
Answer: A
Question: Lake A has a duck population of 30 females and 30 males. Lake B’s duck population consists of the same ratio of females to males. If 6 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?
Choices:
105
78
72
36
Answer: C
Question: If n is a prime number greater than 4, what is the remainder when n^2 is divided by 12?
Choices:
2
1
3
5
Answer: B
Question: A,B and C started a business by investing Rs.800/- , Rs.1,000/- and Rs.1,200/- respectively for two years.
Total profit is Rs.1000/-. Find the C's share?
Choices:
Rs. 500
Rs. 400
Rs. 800
Rs. 900
Answer: B
Question: The length of a train and that of a platform are equal. If with a speed of 72 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
600
718
750
738
Answer: A
Question: Working in a South Side studio at a constant rate, Kanye can drop a full-length platinum LP in 5 weeks. Working at his own constant rate, Common can drop a full-length platinum LP in x weeks. If the two emcees work together at their independent rates, they can drop a full-length platinum compilation LP in 2 weeks. Assuming no efficiency is lost or gained from working together, how many weeks would it take Common, working alone, to drop a full-length platinum LP?
Choices:
3 and 1/3 weeks
2 and 1/2 weeks
2 and 1/3 weeks
2 weeks
Answer: A
Question: A contractor undertook to do a piece of work in 10 days. He employed certain number of laboures but 5 of them were absent from the very first day and the rest could finish the work in only 13 days. Find the number of men originally employed ?
Choices:
21.6
22.6
21.8
21.3
Answer: A
Question: The ratio between the present ages of A and B is 5:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago?
Choices:
3:7
3:1
3:2
3:3
Answer: B
Question: If selling price is doubled, the profit triples. Find the profit percent.
Choices:
120%
105%
100%
80%
Answer: C
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Choices:
787 m
876 m
150 m
586 m
Answer: C
Question: Veena ranks 79rd from the top in a class of 182. What is her rank from the bottom if 22 students have failed the examination?
Choices:
108
82
90
93
Answer: B
Question: A man buys a cycle for Rs. 1600 and sells it at a loss of 20%. What is the selling price of the cycle?
Choices:
1420
1430
1440
1280
Answer: D
Question: From a group of 6boys&4girls a Committee of 4 persons is to be formed. In how many different ways can it be done, so that the committee has at least 2 boys?
Choices:
198
185
210
234
Answer: B
Question: How many positive 5-digit integers have the odd sum of their digits?
Choices:
9*10^3
10^4
45*10^3
9*10^4
Answer: C
Question: The function f is defined for all positive integers V by the following rule. f(V) is the number of positive integers each of which is less than V and has no positive factor in common with V other than 1. If Y is any prime, number then f(Y)=
Choices:
Y-1
(Y+1)/2
(Y-1)/2
2
Answer: A
Question: Ajay can ride 50km in 1 hour. In how many hours he can ride 1250km?
Choices:
15hrs
20hrs
25hrs
18hrs
Answer: C
Question: To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 795 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”?
Choices:
199
193
212
213
Answer: A
Question: Two boys starts from the same place walking at the rate of 5 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 8.5 km apart?
Choices:
12 hr
15 hr
18 hr
17 hr
Answer: D
Question: If an average hard drive had a capacity of 0.7 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
Choices:
512
768
1024
7168
Answer: D
Question: In a box, there are 10 red, 6 blue and 5 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Choices:
10/21
7/12
11/31
13/17
Answer: A
Question: In a class of 50 students, 40 % are girls. Find the number of girls and number of boys in the class?
Choices:
237
36
88
30
Answer: D
Question: A number is doubled and 9 is added. If the resultant is trebled, it becomes 81. What is that number?
Choices:
6
8
7
9
Answer: D
Question: John purchased some shirts and trousers for $1550. He paid $250 less for the shirts than he did for the trousers. If he bought 5 shirts and the cost of a shirt is $20 less than that of a trouser, how many trousers did he buy?
Choices:
5
6
7
8
Answer: B
Question: If (2^x)(3^y) = 324, where x and y are positive integers, then (2^x-1)(3^y-2) equals:
Choices:
18
48
96
144
Answer: A
Question: When positive integer a is divided by 6, the remainder is 1. Which of the following must be true?
I. a is a prime number
II. a is odd
III. a is divisible by 7
Choices:
II only
III only
I and II only
II and III only
Answer: A
Question: Find the area of a rhombus one side of which measures 20 cm and one diagonal is 23 cm.
Choices:
150cm2
300cm2
368cm2
400cm2
Answer: C
Question: Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
$ 145
$ 115
$ 120
$ 150
Answer: A
Question: The price of an article is cut by 10%. To restore it to the former value. The new price must be increased by ?
Choices:
9 1/11
11 1/9
11%
None of these
Answer: B
Question: A committee has 4 men and 7 women. What are the number of ways of selecting 3 men and 4 women from the given committee?
Choices:
120
130
140
150
Answer: C
Question: Each of three charities in Novel Grove Estates has 8 persons serving on its board of directors. If exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors, then how many distinct persons serve on one or more boards of directors?
Choices:
13
16
24
27
Answer: A
Question: Dropbox charges $3.10 for first 1/5 of a month for 500 GB storage, plus $0.40 for each additional 1/5 of a month. What would Dropbox charge for a data storage of 500 GB for 8 months ?
Choices:
$16.00
$17.80
$18.70
$19.10
Answer: C
Question: A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:
Choices:
1
2
4
6
Answer: A
Question: Mica covers a distance in 20 min , if she drives at a speed of 60 km/h on an average. Find the speed at which she must drive at to reduce the time of the journey by 40%.
Choices:
90 km/h
75 km/h
80 km/h
100 km/h
Answer: D
Question: A box contains ELEVEN bulbs out of which 5 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?
Choices:
325/330
369/430
546/558
124/131
Answer: A
Question: A certain gallery is hanging a series of 6 paintings. All the paintings will be exhibited in a row along a single wall. Exactly 2 of the paintings are on panel, the remainder are on canvas. In how many ways can the paintings be exhibited if the works on panel must be the second and sixth in the row?
OE
Choices:
200
122
48
16
Answer: C
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Choices:
17 kmph
14 kmph
18 kmph
10 kmph
Answer: B
Question: The roof of an apartment building is rectangular and its length is 3 times longer than its width. If the area of the roof is 588 feet squared, what is the difference between the length and the width of the roof?
Choices:
28.
42.
44.
46.
Answer: A
Question: A cubical tank is filled with water to a level of 3 feet. If the water in the tank occupies 75 cubic feet, to what fraction of its capacity is the tank filled with water?
Choices:
2/3
3/4
2/5
3/5
Answer: D
Question: If x, 6, 7, 8 are there and the range and median of them are the same, what is the value of x?
Choices:
1
2
3
7
Answer: D
Question: What value will replace the question mark in the following equation ? 5172.49 + 378.352 + ? = 9318.678
Choices:
3767.836
3767.863
3767.683
None of them
Answer: A
Question: If n is a prime number greater than 11, what is the remainder when n^2 is divided by 12 ?
Choices:
1
2
3
5
Answer: A
Question: A and B together can do a piece of work in 6 days and A alone can do it in 12 days. In how many days can B alone can do it?
Choices:
15 days
12 days
21 days
22 days
Answer: B
Question: In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 115 hats in this group, how many of these hats are not blue?
Choices:
42
48
64
80
Answer: D
Question: What is the smallest positive perfect square that is divisible by 9, 21, and 49?
Choices:
324
441
529
900
Answer: B
Question: 32 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Choices:
26
42
27
14
Answer: D
Question: A box measuring 35 inches long by 20 inches wide by 10 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
54
56
864
Answer: C
Question: In an election, candidate Douglas won 64 percent of the total vote in Counties X and Y. He won 76 percent of the vote in County X. If the ratio of people who voted in County X to County Y is 2: 1, what percent of the vote did candidate Douglas win in County Y?
Choices:
25%
30%
35%
40%
Answer: D
Question: A line that passes through (–1, –4) and (4, k) has a slope = k. What is the value of k?
Choices:
1
4/3
2
7/2
Answer: A
Question: In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Choices:
720
890
870
1098
Answer: A
Question: A train 325 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 45 sec. The speed of the train is?
Choices:
13 km/hr
14 km/hr
15 km/hr
16 km/hr
Answer: D
Question: A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?
Choices:
Rs.629
Rs.629
Rs.600
Rs.629
Answer: C
Question: For a race a distance of 224 meters can be covered by P in 14 seconds and Q in 32 seconds. By what distance does P defeat Q eventually?
Choices:
288m
324m
231m
236m
Answer: A
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
4
5
6
8
Answer: A
Question: The sum of 111 consecutive integers is 11211. What is the greatest integer in the set?
Choices:
150
152
154
156
Answer: D
Question: A baseball card decreased in value 30% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years?
Choices:
30%
32%
36%
37%
Answer: D
Question: A person bought 10 bottles for 1 dollar. How many for a dollar must he sell to gain 100%?
Choices:
2
3
4
5
Answer: D
Question: A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 840 in 4 years. The rate of interest per annum is?
Choices:
2
5
7
1
Answer: B
Question: What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for three years, compounding done annually?
Choices:
9687
9685
9682
10648
Answer: D
Question: How many seconds does a train 120 meters long, traveling at 54 km/h, take to completely cross a bridge of 180 meters in length?
Choices:
20
22
24
26
Answer: A
Question: If x + 5 > 2 and x - 3 < 6, the value of x must be between which of the following pairs of numbers?
Choices:
-3 and 9
2 and 7
3 and 4
3 and 10
Answer: A
Question: In a stable there are men and horses. In all, there are 22 heads and 72 feet. How many men and how many horses are in the stable?
Choices:
8 men and 14 horses.
6 men and 14 horses.
5 men and 14 horses.
4 men and 14 horses.
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
180 metres
324 metres
150 metres
120 meters
Answer: C
Question: How many of the positive factors of 19 are not factors of 29?
Choices:
1
2
3
4
Answer: A
Question: A train 130 m long crosses a platform with a speed of 70 kmph in 20 sec; find the length of the platform?
Choices:
145
165
162
152
Answer: C
Question: A shopkeeper forced to sell at cost price, uses a 850 grams weight for a kilogram. What is his gain percent?
Choices:
17.65%
11.11%
12 %
None of these
Answer: A
Question: A store sells chairs and tables. If the price of 2 chairs and 1 table is 60% of the price of 1 chair and 2 tables, and the price of 1 table and 1 chair is $72, what is the price, in dollars, of 1 table? (Assume that every chair has the same price and every table has the same price.)
Choices:
84
63
75
70
Answer: B
Question: Raja sold two cycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both cycles?
Choices:
2000
3400
7800
4500
Answer: A
Question: In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 50 per square m?
Choices:
s.50000
s.57000
s.60000
s.47500
Answer: D
Question: 90 percent of the members of a study group are women, and 60 percent of those women are lawyers. If one member of the study group is to be selected at random, what is the probability that the member selected is a woman lawyer?
Choices:
0.44
0.54
0.64
0.74
Answer: B
Question: In a group of 5 boys and 5 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be selected?
Choices:
110
179
205
219
Answer: C
Question: Ms. Lopez deposits $ 140 in an account that pays 20% interest, compounded semiannually. How much money will there be in the account at the end of one year?
Choices:
$120.00
$169.40
$122.00
$140.00
Answer: B
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Choices:
19:4
19:8
19:5
19:2
Answer: C
Question: Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
Choices:
57%
34%
90%
49%
Answer: A
Question: How many numbers between 100 and 630 are divisible by 2, 3, and 7 together?
Choices:
77
267
13
99
Answer: C
Question: Jack and Jill collect ladybugs. Jack only collects the ones with 2 spots,
and Jill only collects the ones with 7 spots. Jack has 5 more ladybugs
than Jill. The total number of spots found on all of their ladybugs is 100.
How many ladybugs do they have in their combined collection?
Choices:
21
23
25
35
Answer: C
Question: Two persons A and B can complete a piece of work in 30 days and 60 days respectively. If they work together, what part of the work will be completed in 10 days?
Choices:
1/3
1/6
1/2
5/3
Answer: C
Question: A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 20 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $200 before any discount?
Choices:
$112.00
$163.80
$182.00
$100.00
Answer: A
Question: If Sharon's weekly salary increased by 16 percent, she would earn $348 per week. If instead, her weekly salary were to increase by 15 percent, how much would she earn per week?
Choices:
$382
$345
$392
$399
Answer: B
Question: If a * b = a + b/ab , find the value of 5 * (5 * -2) :
Choices:
-10
-1.66
3/5
-12
Answer: A
Question: If x>y>0, which of the following must be true:
I. x^2>y^2
II. x^3 > y^3
III. x<y
Choices:
I and II
III only
II and III
I, II and III
Answer: A
Question: If a is a positive integer, then 2^a + 2^(a + 1)+ 2^(a + 2)+ 2^(a + 3)+ 2^(a + 4) =
Choices:
2^(a + 1)
2a
2a^(a + 1)
31(2^a)
Answer: D
Question: X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
Choices:
10 days
11 days
20 days
25 days
Answer: A
Question: Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
Choices:
28,199
28,299
28,000
28,029
Answer: C
Question: A reduction in the price of petrol by 10% enables a motorist to buy 5 gallons more for $200. Find the original price of petrol?
Choices:
$5
$45
$400
$4.4
Answer: D
Question: What is the units digit of 23^3 * 17^2 * 39^2?
Choices:
7
5
3
1
Answer: C
Question: Find the odd man out. 362, 482, 551, 263, 344, 284
Choices:
482
551
344
284
Answer: C
Question: The ratio, by weight, of coffee to sugar to water in a pot of coffee is 3:1:15. The ratio is then altered so that the ratio of coffee to sugar is halved while the ratio of coffee to water is doubled. If the altered pot of coffee contains 12 grams of sugar, how many grams of water does it contain after alteration?
Choices:
40
45
50
55
Answer: B
Question: In a group of 27 junior high school students, 7 take French, 10 take Spanish, and 4 take both languages. The students taking both French and Spanish are not counted with the 7 taking French or the 10 taking Spanish. How many students are not taking either French or Spanish?
Choices:
6
9
4
6
Answer: D
Question: In a certain game of dice, the player’s score is determined as a sum of four throws of a single die. The player with the highest score wins the round. If more than one player has the highest score, the winnings of the round are divided equally among these players. If Jim plays this game against 26 other players, what is the probability of the minimum score that will guarantee Jim some monetary payoff?
Choices:
1/221
1/1296
1/84
1/42
Answer: B
Question: If each side of a square is increased by 25%, find the percentage change in its area?
Choices:
56.25
22.89
29.18
21.21
Answer: A
Question: A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in how many days ?
Choices:
3 days
5 days
6 days
7 days
Answer: A
Question: Machine E and machine B are each used to manufacture 660 sprockets. It takes machine E 10 hours longer to produce 660 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine E. How many sprockets per hour does machine E produces?
Choices:
6
60
100
110
Answer: A
Question: A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5, 6, 7 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?
Choices:
152
90
168
176
Answer: B
Question: A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is -.
Choices:
25/42
10/23
41/42
1/42
Answer: A
Question: Bilal and Ahmed play the following game with n sticks on a table. Each must remove 1,2,3,4, or 5 sticks at a time on alternate turns, and no stick that is removed is put back on the table. The one who removes the last stick (or sticks) from the table wins. If Bilal goes first, which of the following is a value of n such that Ahmed can always win no matter how Bilal plays?
Choices:
10
11
12
16
Answer: C
Question: There are five different models that are to appear in a fashion show. Two are from Europe, two are from South America, and two are from North America. If all the models from the same continent are to stand next to each other, how many ways can the fashion show organizer arrange the models?
Choices:
96
64
24
8
Answer: A
Question: 81, 64, 27, 16...
Choices:
4
9
3
1
Answer: B
Question: The Arnolds purchased 550 square feet of Kentucky Gem sod at $1.99 per square foot and 270 square feet of Zelzea Blue sod at $1.38 per square foot. What was the approximate average price per square foot paid for all the sod?
Choices:
$1.64
$1.68
$1.72
$1.79
Answer: D
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
12 sec
24 sec
50 sec
36 sec
Answer: D
Question: Marginal cost is the cost of increasing the quantity produced (or purchased) by one unit. If the fixed cost for n products is $12,000 and the marginal cost is $200, and the total cost is $16,000, what is the value of n?
Choices:
20
60
80
100
Answer: A
Question: A train 125 m long passes a man, running at 8 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
53
60
79
80
Answer: A
Question: A shop owner sells 110 eraser and gains SP of 22 metres. Find the gain %?
Choices:
25%
27%
23%
32%
Answer: A
Question: What number is 75 more than three-fourth of itself?
Choices:
225
300
324
336
Answer: B
Question: The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs 3. The ratio of two selling prices is
Choices:
52:53
53:54
54:55
None of these
Answer: A
Question: If c and d are both negative and cd < d^2, which of the following must be true?
Choices:
c < d < d^2 < c^2
d < c < c^2 < d^2
c^2 < d^2 < d < c
d^2 < c^2 < d < c
Answer: B
Question: The ages of Ashley and Mary are in the ratio 4:7. The sum of their ages is 22. Find the age of Mary.
Choices:
12yrs
13yrs
14yrs
15yrs
Answer: C
Question: How much time will take for an amount of Rs. 400 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
4 1/2 years
7 1/2years
12 1/2years
15 1/2years
Answer: A
Question: After replacing an old member by a new member, it was found that the average age of five numbers of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member?
Choices:
4 years
8 years
15 years
NOne
Answer: C
Question: Tough and Tricky questions: Functions. Let a be a positive integer. Let n#a equal n^(2a) if a is odd and n^(3a) if a is even. Then (2#3) + (2#3) – (3#3) is equal to
Choices:
82
128
729
1522
Answer: C
Question: What is the area of a square field whose diagonal of length 20 m?
Choices:
250 sq m
200 sq m
400 sq m
800 sq m
Answer: B
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes?
Choices:
430
480
520
550
Answer: A
Question: If a * b * c =(√(a + 2)(b + 3)) / (c + 1), find the value of 6 * 15 * 1.
Choices:
5
2
3
4
Answer: B
Question: A certain school implemented a reading program for its students, with the goal of getting each student to read 6 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year?
Choices:
cs/2
72cs
(2cs)/12
(24c)/s
Answer: B
Question: Circular gears L and R start to rotate at the same time at the same rate. Gear L makes 20 complete revolutions per minute and gear R makes 40 revolutions per minute. How many seconds after the gears start to rotate will gear R have made exactly 6 more revolutions than gear L?
Choices:
a) 6
c) 10
d) 12
e) 15
Answer: A
Question: In one hour, a boat goes 11 km along the stream and 3 km against the stream. the sped of the boat in still water (in km/hr) is :
Choices:
5
7
9
10
Answer: B
Question: Given that X and Y are events such that
Z(X)= 0.02
Z(Y)=0.10
Z(XnY)=0.10
Z(X|Y)=
find Z (X|Y) and Z(X|Y)
Choices:
1/5
1/6
1/4
1/2
Answer: A
Question: Patrick purchased 80 pencils and sold them at a loss equal to the selling price of 16 pencils. The cost of 80 pencils is how many times the selling price of 80 pencils?
Choices:
1.2
1.8
2.4
4.25
Answer: A
Question: Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 97% water by weight. What is the new weight of the cucumbers, in pounds?
Choices:
33
92
96
98
Answer: A
Question: Half of 3 percent written as decimal is
Choices:
0.5
0.015
0.005
None of these
Answer: B
Question: Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many E applicants majored in political science and had a GPA higher than 3.0?
Choices:
5
15
25
35
Answer: A
Question: One night a certain hotel rented 2/5 of its rooms, including 2/3 of their air conditioned rooms. If 3/5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned?
Choices:
25%
33%
36%
40%
Answer: B
Question: A can do a job in 30 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
Choices:
26 days
30 days
31 days
39 days
Answer: B
Question: Find k if 64 ÷ k = 4.
Choices:
12
16
25
32
Answer: B
Question: If [x] is the greatest integer less than or equal to x, what is the value of [-5.6]+[3.4]+[12.7]?
Choices:
3
7
9
10
Answer: A
Question: In how many different number of ways the letters of the word 'ENGINEERING' can be arranged
Choices:
277000
277200
277400
278400
Answer: B
Question: If x < y < 0, which of the following must be true?
Choices:
xy is a negative integer
x+y is a negative integer
x-y is a positive integer
(-x)+ (-y) is positive integer
Answer: D
Question: If W is an integer greater than 6, which of the following must be divisible by 3?
Choices:
W(W+1)(W-4)
N(N+3)(N-5)
N(N+4)(N-2)
N(N+5)(N-6)
Answer: A
Question: The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
Choices:
81:121
81:129
81:120
21:121
Answer: A
Question: 4/x + 3x = 3(x+12)
Choices:
-1/3
-1/9
1/9
9
Answer: C
Question: The price of a table is marked at $12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
Choices:
8721
7720
6221
7493
Answer: A
Question: Difference between two numbers is 4, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
Choices:
5,9
9,8
11,12
13,3
Answer: A
Question: Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 8 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?
Choices:
50
84
90
108
Answer: A
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
17 km/hr
60 km/hr
15 km/hr
19 km/hr
Answer: B