antoine-444/aqua_rat_dataset huggingface dataset:
Question: On an order of 9 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of:
Choices:
10%
20%
25%
30%
Answer: A
Question: How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest ?
Choices:
4 years
4.5 years
5 years
None of these
Answer: A
Question: For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 100?
Choices:
28
27
25
26
Answer: C
Question: A cricket player whose bowling average was 22.5 runs per wicket, takes 5 wicket for 52 runs in a match. Due to this his average decreases by 0.5. What will be the number of wickets taken by him till the last match?
Choices:
72
121
984
108
Answer: B
Question: There has been a successive increase of 25% and 20% in the price of petrol from the previous month. By how much %age a man should reduce his consumption so that his expenditure does not change?
Choices:
33.33%
66.66%
15%
75%
Answer: A
Question: In an office, totally there are 5200 employees and 45% of the total employees are males. 50% of the males in the office are at-least 50 years old. Find the number of males aged below 50 years?
Choices:
1170
1150
4160
None of these
Answer: A
Question: In how many different ways can 4 physics, 2 math and 3 chemistry books be arranged in a row so that all books of the same branch are together?
Choices:
1728
1484
1734
1726
Answer: A
Question: In the floor of a particular kitchen owned by an abstract artist, each row of tiles to the right of the first row contains two fewer tiles than the row directly to its left. If there are nine rows in all and a total of 405 tiles in the floor, how many tiles does the leftmost row contain?
Choices:
53
60
64
68
Answer: A
Question: A train runs at the speed of 72 kmph and crosses a 250 metre long platform in 26 seconds. What is the length of the train?
Choices:
270 m
400 m
340 m
150 m
Answer: A
Question: Three numbers are in the ratio 3:5:7. The largest number value is 42. Find difference between Smallest & largest number is?
Choices:
24
26
28
32
Answer: A
Question: Speed of a boat in standing water is 8kmph and speed of the stream is 0.5kmph. A man can rows to a place at a distance of 105km and comes back to the starting point. The total time taken by him is?
Choices:
26.35hours
25.35hours
24.35hours
23.35hours
Answer: A
Question: A teacher will pick a group of 4 students from a group of 8 students that includes Lisa. If one of all the possible four-student groups is picked at random, what is the probability of picking a group that includes Lisa?
Choices:
3/14
1/2
1/3
3/7
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. What is the duration of the flight ?
Choices:
2.4 hours
1.4 hours
1 hour
None of these
Answer: C
Question: The average monthly income of P and Q is Rs. 2050. The average monthly income of Q and R is Rs. 5250 and the average monthly income of P and R is Rs. 6200. The monthly income ofQ is:
Choices:
1100
1200
3100
1300
Answer: A
Question: A man sitting in a train which is traveling at 50 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed
Choices:
56 kmph
58 kmph
62 kmph
72 kmph
Answer: C
Question: If 2994 Ã· 14.5 = 177, then 29.94 Ã· 1.45 = ?
Choices:
17.3
17.5
17.7
17.2
Answer: C
Question: In a village of 2,600 people, 800 people are over 70 years old and 850 people are female. It is known that 40 percent of the females are younger than 70 years old. If no one in the village is 70 years old, what is the probability that a person chosen at random is either a male or younger than 70 years old?
Choices:
199/250
33/50
8/25
209/260
Answer: D
Question: A certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
Choices:
20%
25%
30%
40%
Answer: A
Question: In N is a positive integer less than 200, and 14N/60 is an integer, then N has how many different positive prime factors C?
Choices:
3
5
6
8
Answer: A
Question: The area of a triangle will be when a = 1m, b = 4m, c = 5m, a, b, c being lengths of respective sides?
Choices:
7
5
3
4
Answer: B
Question: Five pieces of wood have an average length of 120cm and a median length of 140cm. What is the maximum possible length, in cm, of the shortest piece of wood?
Choices:
a) 90
c) 110
d) 130
e) 140
Answer: A
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 do they meet?
Choices:
11 am
12 pm
1 pm
2 pm
Answer: A
Question: A trader sells 45 meters of cloth for Rs. 4500 at the profit of Rs. 14 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
Rs. 86
Rs. 90
Rs. 95
None of these
Answer: A
Question: A mixture of 85 kg contains milk and water in the ratio 27 : 7. How much more water is to be added to get a new mixture containing milk and water in the ratio 3:1?
Choices:
5 kg
7.5 kg
8 kg
9 kg
Answer: A
Question: In a room of length 24mts, breadth 18mts, height 16 mts. what is the length of longest rod that can be placed in the room?
Choices:
34 mtres.
44 mtres.
54 mtres.
64 mtres.
Answer: A
Question: From a total of 3 boys and 4 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?
Choices:
18
60
120
240
Answer: A
Question: A tourist purchased a total of $1,300 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?
Choices:
$1,310
$1,290
$1,070
$1,150
Answer: C
Question: A man cycling along the road noticed that every 18 minutes a bus overtakes him and every 6 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?
Choices:
6 minutes
8 minutes
9 minutes
10 minutes
Answer: C
Question: If −2≤a≤0 and n > 19, which of the following CANNOT be the value of an?
Choices:
-38
-20
0
19
Answer: D
Question: As a treat for her two crying children, a mother runs to the freezer in which she has four cherry ice pops, three orange ice pops, and four lemon-lime ice pops. If she chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one invariably being jealous of the other and getting even more upset, what is the probability that she has to return to the freezer to make sure that they each receive the same flavor?
Choices:
1/99
5/18
13/18
5/6
Answer: A
Question: A and B walk around a circular track. A and B walk at a speed of 1 rounds per hour and 4 rounds per hour respectively. If they start at 7 a.m. from the same point in opposite directions, how many times shall they cross each other before 8.30 a.m.?
Choices:
7
4
3
8
Answer: A
Question: There are 14 songs in that 5 Rock songs, 6 western songs & 3 Hindi pop songs. How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song & 1 western song?
Choices:
15624
17953
19655
28958
Answer: A
Question: If it would take one machine 15 minutes to fill a large production order and another machine 20 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order?
Choices:
5
5 5/11
5 1/2
8 4/11
Answer: D
Question: A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:2. The ratio of economy cars to sport utility vehicles is 5:3. What is the ratio of luxury cars to sport utility vehicles?
Choices:
8:9
3:2
2:3
10:9
Answer: D
Question: In a kilometer race, A beats B by 40 meters or 15 seconds. What time does A take to complete the race?
Choices:
285 sec
267 sec
167 sec
276 sec
Answer: A
Question: In a local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 600 students and the middle school enrolled 300 students. Later, the middle school transferred s dollars to the high school so that they would have received the same funding per student. Which of the following is equivalent to s?
Choices:
r/3
2r
3r
r/9
Answer: A
Question: The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 60 feet wide by 150 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool?
Choices:
1000
1200
1400
1600
Answer: B
Question: Simplfy
3b - [b -(a+b) - {b - (b - a+b)} + 2a]
Choices:
2b
4a
0
1
Answer: A
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 6 students is 14 years and that of the other 8 students is 16 years. The age of the 15th student is
Choices:
13 years
14 years
21 years
25 years
Answer: A
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Choices:
5/9
2/9
10/19
4/9
Answer: A
Question: Two men are going along a track rail in the opposite direction. One goods train crossed the first person in 20 sec. After 10 min the train crossed the other person who is coming in opposite direction in 18 sec .After the train has passed, when the two persons will meet?
Choices:
90 minutes
88 minutes
95 minutes
None of these
Answer: A
Question: A library branch originally contained 18360 volumes, 30% of which were fiction novels. 1/4 of the volumes were transferred to another location and 1/3 of the volumes transferred were fiction novels. What percent of the remaining collection was fiction novels?
Choices:
17.67%
28.8%
45.2%
73.6%
Answer: B
Question: If -x^2 - 2y^2 = 2xy, then (x+y)^2 =
Choices:
3x^2
4xy
2y^2
-y^2
Answer: D
Question: The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period?
Choices:
37888
10560
29877
27881
Answer: B
Question: A = {0, 1, -3, 6, -8, 20, 4}
B = {-1, 2, -4, 7, 5}
If a is a number that is randomly selected from Set A, and b is a number that is randomly selected from Set B, what is the probability that ab > 0?
Choices:
1/3
2/5
4/9
12/35
Answer: D
Question: 0.002 x 0.4 = ?
Choices:
0.008
0.08
0.8
0.0008
Answer: D
Question: A bag contains 7 red and 3 green balls. Another bag contains 4 red and 6 green balls. If one ball is drawn from each bag. Find the probability that one ball is red and one is green.
Choices:
17/20
21/50
8/10
9/40
Answer: B
Question: In My, Xiang sold 15 used cars. For these 15 used cars the range of selling prices was 15,000 and the lowest selling price was 4,500. In June, Xiang sold 10 cars. For these 10 cars the range of selling was 16,000 and the lowest selling price was 5,000. What was the range of selling prices for the 25 used car sold by xiang in May and June?
Choices:
15,750
16,820
18,100
19,200
Answer: B
Question: The purchase price of an article is $48. In order to include 5% of cost for overhead and to provide $12 of net profit, the markup should be
Choices:
25%
30%
40%
45%
Answer: B
Question: A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train?
Choices:
58 kmph
54 kmph
94 kmph
59 kmph
Answer: B
Question: What is the largest prime factor of 27^3−9^3−3^6?
Choices:
3
5
7
11
Answer: B
Question: 5358 x 81 = ?
Choices:
433758
433298
433998
437382
Answer: C
Question: Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 10 percent was planted with grapes and 80 percent of the cleared land was planted with potato. If the remaining 450 acres of cleared land was planted with tomato, how many acres did the farmer own?
Choices:
4500
5500
5250
5000
Answer: D
Question: The average (arithmetic mean) of 16 students first quiz scores in a difficult English class is 62.5. When one student dropped the class, the average of the remaining scores increased to 62.0. What is the quiz score of the student who dropped the class?
Choices:
b) 25
c) 40
d) 55
e) 70
Answer: D
Question: A group of men decided to do a work in 8days, but 3 of them became absent. If the rest of the group did the work in 10days, Find the original number of men?
Choices:
15
30
25
18
Answer: A
Question: There is certain numbers of toys in the box. They are divided into such a way that the person who gets 1/4 of the whole gets thrice of what the others get on an average. Find the number of people amongst whom the toys are distributed?
Choices:
10
12
9
4
Answer: A
Question: In what ratio water be mixed with milk costing Rs.12 per liter to obtain a mixture worth of Rs.8 per litre?
Choices:
1:2
2:9
2:2
2:6
Answer: A
Question: 9, 16, 20, 25, 36,49
Choices:
16
20
25
36
Answer: B
Question: The average of 7 numbers is 23. If each number be multiplied by 5. Find the average of new set of numbers?
Choices:
B)122
C)120
D)115
E)145
Answer: C
Question: Tom read a book containing 100 pages by reading the same number of pages each day. If he would have finished the book 10 days earlier by reading 30 pages a day more, how many days did Tom spend reading the book?
Choices:
7.68
8
9
10
Answer: A
Question: Annie has 100 cards numbered 1 through 100. If she deals four cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?
Choices:
96!/100!
(95! X 5!)/100!
(96! X 5!)/100!
(97! X 4!)/100!
Answer: D
Question: Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
Choices:
1/3
1/4
1/2
1/1
Answer: A
Question: How many cubes of 4cm edge can be cut out of a cube of 28cm edge
Choices:
343
216
484
None of these
Answer: A
Question: When the price of an article was reduced by 25% its sale increased by 80%. What was the net effect on the sale?
Choices:
35% increase
60% increase
66% increase
66% decrease
Answer: A
Question: The number of positive integers which can be formed by using any number of digits from 0,1,2,3,4,5 without repetition.
Choices:
1500
1600
1630
None
Answer: C
Question: A sum of money at simple interest amounts to Rs. 855 in 3 years and to Rs. 854 in 4 years. The sum is:
Choices:
s. 690
s. 738
s. 700
s. 718
Answer: B
Question: In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Choices:
2/7
1/7
2/5
2
Answer: A
Question: To fill an art exhibit, the ladies in an art course are assigned to create one piece of artwork each in the following distribution: 1/3 are sculptures, 1/8 are oil paintings, 1/2 are watercolors, and the remaining 10 pieces are mosaics. How many ladies are in the art class?
Choices:
120
240
320
400
Answer: B
Question: A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?
Choices:
13 m, 12 m
14 m, 11 m
15 m, 10 m
15 m, 12 m
Answer: C
Question: A train 200m long passes a standing man in 18 seconds. What is the speed of the train?
Choices:
40km/hr
42km/hr
50km/hr
32km/hr
Answer: A
Question: Hiralal gave a loan of Rs. 20 to Ramlal and recovered it at the rate of Rs 3.50 for eight months, commencing from the end of 1st month. What is the effective rate of simple interest?
Choices:
60%
20%
90%
none
Answer: A
Question: A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is
Choices:
900
1200
1800
None
Answer: B
Question: Find a number such that when 15 is subtracted from 7 times the number, the results is more than twice the number?
Choices:
3
4
5
6
Answer: C
Question: Given that a “6-inch pizza” means circular pizza with a diameter of 12 inches, changing from an 4-inch pizza to a 6-inch pizza gives you approximately what percent increase in the total amount of pizza?
Choices:
50
67
80
125
Answer: D
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 Y 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: A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
2779
2779
3900
2781
Answer: C
Question: In doing a division of a question with zero remainder,a candidate
took 12 as divisor instead of 21.The quotient obtained by him was 35.
The correct quotient is?
Choices:
21
20
35
10
Answer: B
Question: A car drives 90 miles on local roads at 30 mph, and 75 miles on the highway at 60 mph, what is the average speed of the entire trip?
Choices:
40 mph
39 mph
42 mph
38 mph
Answer: B
Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
Choices:
Rs. 28800
Rs. 28820
Rs. 28880
Rs. 28890
Answer: A
Question: The price of gasoline in the area where the Smith family lives is scheduled to increase by 5% next year. Since the Smith family cannot afford an increase in their fuel bill, how much will they have to reduce consumption to keep their cost the same?
Choices:
None
5%
2.45%
4.76%
Answer: D
Question: In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?
Choices:
30 ways
16 ways
15 ways
19 ways
Answer: A
Question: Sam invested Rs. 3000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
Choices:
3387.0
2503.0
3307.5
16537.11
Answer: C
Question: In how many different ways can the letters of the word 'CORPORATMON' be arranged so that the vowels always come together?
Choices:
50000
50400
50700
60000
Answer: B
Question: A car traveled from San Diego to San Francisco at an average speed of 51 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
Choices:
34.
36.
42.
44.
Answer: A
Question: Analyze the number square carefully and find out what number fits in place of question mark.
35	20	14
9	17	42
2	8	?
Choices:
6
18
2
42
Answer: C
Question: Three times the first of three consecutive odd integers is 6 more than twice the third. The third integer is:
Choices:
11
13
15
18
Answer: D
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 12 m wide at the top and 8 m wide at the bottom and the area of cross-section is 690 sq m, the depth of cannel is?
Choices:
28
27
69
71
Answer: C
Question: If each digit in the set of A = {1,2,3,4,5,6} is exactly used once, in how many ways can the digits be arranged such that the 2 and 5 are not adjacent?
Choices:
4*5!
6! / 5!
6!* 5!
6! - 4!
Answer: A
Question: A part of Rs. 38800 is lent out at 6% per 6 months. The rest of the amount is lent out at 5% per annum after 1 year. The ratio of interest after 3 years from the time when first amount was lent out is 5:4. Find the second part that was lent out at 5%.
Choices:
28800
29800
26500
55055
Answer: A
Question: A ranch has both horses and ponies. Exactly 5/7 of the ponies have horseshoes, and exactly 2/3 of the ponies with horseshoes are from Iceland. If there are 4 more horses than ponies, what is the minimum possible combined number of horses and ponies on the ranch?
Choices:
38
42
46
50
Answer: C
Question: Find The Missing Number in this sequence ?
1, 2, 6, 42, ? 3263442
Choices:
1806
4580
3546
1239
Answer: A
Question: It takes a boat 3 hours to travel down a river from point A to point B, and 5 hours to travel up the river from B to A. How long would it take the same boat to go from A to B in still water?
Choices:
5 hours and 45 minutes.
3 hours and 45 minutes.
4 hours and 45 minutes.
6 hours and 45 minutes.
Answer: B
Question: A boy is born when his father is 27 years old. How old will he be when he is exactly half his fathers' age?
Choices:
24
25
27
39
Answer: C
Question: A rectangular floor is covered by a rug except fo a strip p meters along each of the four edges. If the floor is m meters by w meteres, What is the area of the rug in square meters?
Choices:
mn – 2p(m+n)
mn – p^2
(m - p)(n - p)
(m - 2p)(w - 2p)
Answer: D
Question: What is the sum of all the prime numbers from 20 to 40?
Choices:
100
278
120
191
Answer: C
Question: a company has 17 office tasks 8 outdoor tasks and 7 misc. tasks for workers each worker can complete 4 tasks max what is he minimum number of workers required
Choices:
7
8
9
10
Answer: B
Question: Without stoppages, a train travels certain distance with an average speed of 80 km/h, and with stoppages, it covers the same distance with an average speed of 60 km/h. How many minutes per hour the train stops ?
Choices:
15
10
16
None of these
Answer: A
Question: Which values of ‘x’ satisfies the inequality
x2 - 3x + 2 > 2x - 4 ?
Choices:
x > 3 or x < 2
x ³ 3
x £ 2
None of these
Answer: A
Question: How many terms are in the G.P. 3, 6, 12, 24, ......., 96 ?
Choices:
6
67
5
2
Answer: A
Question: (x —1)(x + 3) > 0
(x +5)(x—4) < 0
Which of the following values of x satisfy both inequalities shown?
I. -6
II. -4
III. 2
IV. 3
Choices:
I and III only
II and III only
II and IV only
II, III, and IV
Answer: D
Question: The speed of a boat in still water is 60kmph and the speed of the current is 15kmph. Find the speed downstream and upstream?
Choices:
75,55 kmph
80,42 kmph
80,40 kmph
83,40 kmph
Answer: A
Question: If James has to pay 12 % interest per year on an amount of $60,000 for 12 year then what is total principal?
Choices:
24000
25000
27000
24590
Answer: D
Question: At a constant Rate of flow, it takes 30 minutes to fill a swimming pool if a large hose is used and 45 minutes if a small hose is Used. At these constant rates, how many minutes will it take to fill the pool when both hoses are used simultaneously?
Choices:
22
18
16
14
Answer: B
Question: Working alone, A can complete a certain kind of job in 15 hours. A and D, working together at their respective rates, can complete one of these jobs in 10 hours. In how many hours can D, working alone, complete one of these jobs?
Choices:
24
26
28
30
Answer: D
Question: The area of a parallelogram is 128sq m.Then the area of a triangle formed by its diagonal is ----------?
Choices:
64m
64m^2
128m^2
none
Answer: A
Question: If X and Y are two different prime numbers, which of the following cannot be true?
Choices:
X + Y is even.
X + Y is odd.
XY is even.
X/Y is an integer
Answer: D
Question: A trailer carries 3, 4 and 6 crates on a trip. Each crate weighs no less than 120 kg. What is the maximum weight of the crates on a single trip?
Choices:
625
600
7500
720
Answer: D
Question: A 4-letter code word consists of letters H, I, and J. If the code includes all the three letters, how many such codes are possible?
Choices:
48
18
24
36
Answer: D
Question: A rectangular cube has sides measuring 3 inches long by 2 inches wide by 0.5 inches high. If the surface area of the rectangle is the same as a cube, what do the sides/walls of the cube measure? Round to the nearest whole number.
Choices:
5
6
7
2
Answer: D
Question: If the sum of the interior angles of a regular polygon measures up to 1260 degrees, how many sides does the polygon have?
Choices:
3
9
4
None of these
Answer: B
Question: 4 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
Choices:
4 days
7 days
9 days
1 days
Answer: A
Question: Raja and Abdul can finish the work 18 days if they work together. They worked together for 12 days and then Abdul left. Rja finished the remaining work in another 12 days. In how many days Raja alone can finish the work?
Choices:
60 days
70 days
36 days
90 days
Answer: C
Question: A cube painted red on two adjecent faces and black on the faces opposite to the red faces and green on the remaining faces is cut into sixty-four smaller cubes of equal size.How many cubes are there which have no face painted?
Choices:
8
10
11
12
Answer: A
Question: There are 4 numbers A, B, C, and D. If A:B = 1/2, B:C = 2/7, C:D = 7/3, then A:D will be?
Choices:
2 :1
2 : 7
1 : 7
1 : 3
Answer: D
Question: The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:
Choices:
587 × 10<-12> (exponent) miles
587 × 10<-10>(exponent) miles
587 × 10<12>(exponent) miles
587 × 10<8>(exponent) miles
Answer: C
Question: An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 40 miles per hour, then 50 miles per hour, then 60 miles per hour. If the test took 74 hours to complete, how many miles was the car driven during the entire test?
Choices:
3600
3300
3500
3200
Answer: A
Question: Two pipes A and B can separately fill a tank in 12 minutes and 16 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choices:
7min
8min
9min
10min
Answer: D
Question: Shannon and Maxine work in the same building and leave work at the same time. Shannon lives due north of work and Maxine lives due south. The distance between Maxine's house and Shannon's house is 60 miles. If they both drive home at the rate 2R miles per hour, Maxine arrives home 60 minutes after Shannon. If Maxine rider her bike home at the rate of R per hour and Shannon still drives at a rate of 2R miles per hour, Shannon arrives home 2 hours before Maxine. How far does maxine live from work?
Choices:
34
38
40
48
Answer: D
Question: There are, in a certain league, 50 teams, and each team face another team for a total of 4 times. How many games are played in the season?
Choices:
3600
2400
4900
5400
Answer: C
Question: Trains A and B start simultaneously from stations 450 miles apart, and travel the same route toward each other on adjacent parallel tracks. If Train A and Train B travel at a constant rate of 50 miles per hour and 50 miles per hour, respectively, how many miles will Train A have traveled when the trains pass each other, to the nearest mile?
Choices:
133
150
167
225
Answer: D
Question: When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
Choices:
Rs. 22,500
Rs. 25,300
Rs. 25,800
Rs. 26,800
Answer: B
Question: A certain smoothie A is three-fifths blueberries and 40% raspberries by weight. Another smoothie B is three-quarters banana and one-quarter raspberries by weight. If the mixed smoothie of A and B is 30% raspberries by weight, how much weight of this mixture belongs to smoothie A?
Choices:
33.33%
45%
50%
66.66%
Answer: A
Question: There are 600 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of managers to 98%?
Choices:
200
250
300
400
Answer: C
Question: For which of the following does f(r)−f(s)=f(r−s) for all values of r and s?
Choices:
f(a)=a/2
f(a)=a+5
f(a)=2a−1
f(a)=|a|
Answer: A
Question: Each digit in the two-digit number G is halved to form a new two-digit number H. Which of the following numbers could be the sum of G and H?
Choices:
150
146
144
89
Answer: C
Question: Two goods trains each 625 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
45
48
60
44
Answer: C
Question: What is the ratio between perimeters of two squares one having 1.5 times the diagonal then the other?
Choices:
1.5: 1
3: 1.5
2: 1
3: 2
Answer: A
Question: A landlady has been paid $329,864 to her savings account. What is the least amount of money (in whole number of dollars) that she must add to her account if she wants to confirm that the money has been paid evenly by all 9 of her house rentors?
Choices:
$2
$3
$4
$6
Answer: C
Question: A company run by 20 men can produce 1000 pencils in a day. One-fifth of the pencils produced are defective and one-quarter of all pencils produced are rejected by quality control technician. If one-tenth of the nondefective pencils are rejected by mistake, and if all the pencils not rejected are sold, then what percent of the pencils sold by the company are defective?
Choices:
4%
8%
6%
2%
Answer: A
Question: A train 270 m long passed a pole in 27 sec. How long will it take to pass a platform 650 m long?
Choices:
92 sec
54 sec
27 sec
22 sec
Answer: A
Question: The measurement of a rectangular box with lid is 50cmx30cmx38cm. Find the volume of the largest sphere that can be inscribed in the box (in terms of πcm3). (Hint: The lowest measure of rectangular box represents the diameter of the largest sphere)
Choices:
4500
7200
864
9640
Answer: A
Question: 70% of the employees of a company are men. 50% of the men in the company speak French and 40% of the employees of the company speak French. What is % of the women in the company who do not speak French?
Choices:
10%
83.33%
90.33%
20%
Answer: B
Question: Which of the following statements must be true?
I)The product of first 100 prime numbers is even
II)The sum of first 100 prime numbers is odd.
III)The sum of first five non-negative even numbers is divisible by both 4 and 5
Choices:
II only
I and II only
I and III only
I, II and III
Answer: D
Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for three years?
Choices:
27773
29989
26100
29883
Answer: C
Question: If P is a prime number greater than 3, find the remainder when P^2 + 13 is divided by 12.
Choices:
1
0
2
7
Answer: C
Question: Ashok opened a shop investing Rs.60,000 and Madhuri joined him after 2 months investing Rs.90,000. They get a profit of Rs. 1,08,000 after one year. The share of Madhuri is
Choices:
Rs.30,000
Rs.60,000
Rs.45,000
None of the above
Answer: B
Question: If 945*s is a perfect square then s can be which of the following numbers?
Choices:
35
54
105
150
Answer: C
Question: A swimmer can swim in still water at 4 km/h. If the speed of the water current is 1 km/h, how many hours will the swimmer take to swim against the current for 6 km?
Choices:
1.4
1.6
1.8
2
Answer: D
Question: P = {22, 24, 26, 28, 30, 32}
Q = {2, 24, 25, 26, 27, 28}
R = {4, 7, 10, 13, 16, 19}
If p is the standard deviation of set P, q is the standard deviation of set Q, and r is the standard deviation of set R, which of the following must be true?
Choices:
p<r<q
q<r<p
q<p<r
r<q<p
Answer: A
Question: A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?
Choices:
46
67
28
29
Answer: C
Question: Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn
randomly. If it is known that the number on the drawn card is more than 3, what is the probability
that it is an even number?
Choices:
4/7
5/7
5/11
6/11
Answer: A
Question: A 14 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Choices:
20
88
77
4
Answer: D
Question: 30 men can do a work in 40 days. When should 20 men leave the work so that the entire work is completed in 40 days after they leave the work?
Choices:
11 days
10 days
16 days
13 days
Answer: B
Question: What is the probability of flipping a fair coin four times and the coin landing on heads on at least two flips?
Choices:
15/16
9/16
11/16
7/16
Answer: C
Question: There are total 15 people. 7 speaks French and 8 speaks Spanish 3 do not speak any language. Which part of total people speaks both languages.
Choices:
1/5
1/6
3/8
1/3
Answer: A
Question: The ages of two persons differ by 16 years. If 6 years ago , the elder one be 3 times as old as the younger one, find their present ages .
Choices:
18 years and 26 years
20 years and 28 years
14 years and 30 years
16 years and 25 years
Answer: C
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
Choices:
20%
32%
73%
84%
Answer: A
Question: Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 40 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B?
Choices:
50 lakh
40 lakh
64 lakh
None of these
Answer: C
Question: The dimensions of a rectangular solid are 4 inches, 5 inches, and 10 inches. If a cube, a side of which is equal to one of the dimensions of the rectangular solid, is placed entirely within thespherejust large enough to hold the cube, what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube?
Choices:
2:5
10:19
25:7
32:25
Answer: B
Question: Dimitri weighs 2x-x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of y pounds. Which of the following represents Allen’s weight?
Choices:
2x - y/2
(y - x)/2
y - 2x
2x - y
Answer: B
Question: In how many ways can the letters of the word MECHANIC be arranged?
Choices:
2500
20160
2520
3420
Answer: B
Question: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/2, then what is the value of abc/def ?
Choices:
27/8
3/4
3/8
1/4
Answer: B
Question: A and B can together complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete that work ?
Choices:
5 days
6 days
7 days
8 days
Answer: B
Question: How many seconds will a 100 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
6 sec
77 sec
14 sec
12
Answer: A
Question: A person has his own coach & whenever he goes to railway station he takes his coach. One day he was supposed to reach the railway station at 5 O'clock. But he finished his work early and reached at 3 O'clock. Then he rung up his residence and asked to send the coach immediately. He came to know that the coach has left just now to the railway station. He thought that he should not waste his time and started moving towards his residence at the speed of 3miles/hr. On the way, he gets the coach and reaches home at 6 o'clock. How far is his residence from railway station.
Choices:
18 miles
19 miles
16 miles
15 miles
Answer: A
Question: The jogging track in a sports complex is 726 m in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in?
Choices:
5.28 min
1.97 min
2.88 min
2.77 min
Answer: A
Question: What should come in place of the question mark (‘?) in the following equation?
18 2⁄5 of 150.8 + ? = 8697.32 – 3058.16
Choices:
2864.34
1864.44
2684.44
None of these
Answer: D
Question: A train 200 m long passes a man, running at 6 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50
78
66
22
Answer: B
Question: M and N started a business by investing Rs.4000/- and Rs.5000/- respectively. Find the M’s share out of a total profit of Rs.1800:
Choices:
Rs.550/-
Rs.600/-
Rs.650/-
Rs.800/-
Answer: D
Question: What is the distance covered by a car if it travels with a speed of 160 kmh for 5 hours?
Choices:
400 km
800 km
600 km
650 km
Answer: B
Question: A certain music store stocks 800 cellos and 600 violas. Of these instruments, there are 100 cello-viola pairs, such that a cello and a viola were both made with wood from the same tree (each tree can make at most one viola and one cello, so there are no pairs other than these 90). If one viola and one cello are chosen at random, what is the probability that the two instruments are made with wood from the same tree?
Choices:
1/4,800
3/1,600
1/90
2/45
Answer: A
Question: A boy sitting in a train which is travelling at 30 kmph observes that a goods train travelling in a opposite direction, takes 18 seconds to pass him. If the goods train is 350 m long, find its speed.
Choices:
30
35
40
45
Answer: C
Question: There are three secretaries who work for four departments. If each of the four departments have one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability that all three secretary are assigned at least one report?
Choices:
64/81
12/27
16/81
5/9
Answer: B
Question: John and Jane went out for a dinner and they ordered the same dish. Both used a 10% discount coupon. John paid a 15% tip over the original price of the dish, while Jane paid the tip over the discounted price for the coupon. If John paid $0.60 more than Jane, what was the original price of the dish?
Choices:
34.8
37.8
40
84
Answer: C
Question: A welder received an order to make a 1 million liter cube-shaped tank. If he has only 2x4 meter sheets of metal that can be cut, how many metal sheets will be required for this order? (1 cubic meter = 1,000 liters)
Choices:
90
82
75
78
Answer: C
Question: John and David can finish a job together in 6 hours. If John can do the job by himself in 8 hours, what percent of the job does David do?
Choices:
45%
25%
30%
20%
Answer: B
Question: 8 noun, 3 verbs and 2 adjectives are written on blackboard.we can form sentence by choosing 1 from each available set without caring it makes sense or not.what is the number of ways of doing this??
Choices:
188
218
248
288
Answer: D
Question: In a class of 30 students, 5 students did not borrow any books from the library, 12 students each borrowed 1 book, 8 students each borrowed 2 books, and the rest of the students each borrowed at least 3 books. If the average (arithmetic mean) number of books borrowed per student was 2, what is the maximum number of books that any single student could have borrowed ?
Choices:
8
15
18
20
Answer: D
Question: In an examination, a pupil’s average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
Choices:
9
10
11
12
Answer: C
Question: Fill in the missing number:
18 14 12 11 ? 10.25
Choices:
10.4
10.2
10.5
10.3
Answer: C
Question: A diner is having lunch at a salad bar. There are four types of lettuce to choose from, as well as four types of tomatoes, and five types of olives. If the diner picks one type of lettuce, one type of tomato, and one type of olive for the salad, how many total options does the diner have for the salad?
Choices:
40
60
80
100
Answer: C
Question: The distance between Delhi and Mathura is 200 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
Choices:
12.00 a.m.
10.30 a.m.
11.40 a.m.
1.40 a.m.
Answer: A
Question: In what time will a car 10 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
1 sec
9 sec
6 sec
2 sec
Answer: A
Question: If 2^(2w) = 8^(w−3), what is the value of w?
Choices:
6
9
12
15
Answer: B
Question: Pipe A can fill the tank in 30 minutes and pipe b can empty the tank in 90 minutes. How long it will take to fill the tank if both pipes are operating together?
Choices:
35
40
45
50
Answer: C
Question: An MBA admissions committee is to be formed randomly from 6 second year MBAs for the 3 positions. If Albert and Jane are applicants, what is the probability that Albert will be selected but Jane will not?
Choices:
17%
25%
30%
44%
Answer: C
Question: The average age of students in section A of 125 students is 23 years and the average age of students in section B of 162 students is 25 years. Find the average age of students in both sections taken together?
Choices:
30years
15years
24years
20years
Answer: C
Question: A ratio between two numbers is 4:5 and their L.C.M. is 200. The first number is
Choices:
40
20
15
None
Answer: A
Question: If a, b, and c are consecutive even positive integers, which of the following could be equal to a + b + c ?
Choices:
200
312
391
412
Answer: B
Question: A football field is 8400 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3500 square yards?
Choices:
600
500
2400
3200
Answer: B
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 20 months?
Choices:
18:15
20:11
18:121
18:112
Answer: B
Question: If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be odd?
Choices:
1/3
1/2
2/3
5/6
Answer: A
Question: In how many different number of ways 4 boys and 1 girls can sit on a bench?
Choices:
120
160
180
200
Answer: A
Question: A rectangular lawn of dimensions 90 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
A)4200
C)9309
D)3900
E)8302
Answer: A
Question: If 22 percent of the students at a certain school went to a camping trip and took more than $100, and 75 percent of the students who went to the camping trip did not take more than $100, what percentage of the students at the school went to the camping trip?
Choices:
90
88
80
75
Answer: B
Question: Gill drives 120 miles from Los Angeles to San Diego to fetch a package. On her way there she drives at 40 miles per hour. On her way back she drives 50% faster. What is Gill's average velocity Q for the round trip?
Choices:
48 miles per hour
50 miles per hour
53 1/3 miles per hour
68 miles per hour
Answer: A
Question: If the area of circle is 314 sq cm then its circumference?
Choices:
61
65
56
62
Answer: D
Question: The sector of a circle has radius of 28 cm and central angle 135o. Find its perimeter?
Choices:
95cm
100cm
110cm
122cm
Answer: D
Question: A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 960 grams. Find the profit percent.
Choices:
4.166
2.1
1.256
3.759
Answer: A
Question: When the positive integer A is divided by 5 and 8, the remainder is 3 and 4, respectively. When the positive integer B is divided by 5 and 8, the remainder is 3 and 4, respectively. Which of the following must be a factor of A-B?
Choices:
35
36
40
50
Answer: C
Question: Narendra started a business, investing 30000. Six months later, Chandan joined him with 10000. If they make a profit of 10000 at the end of the year, what should be the share of Narendra?
Choices:
B)Rs.8000
C)Rs.8500
D)Rs.8571
E)Rs.8700
Answer: C
Question: In an engineering class that contained 50 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly?
Choices:
4
10
12
24
Answer: A
Question: On a certain date, Pat invested $5,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 10 years will be $20,000, in how many years total will the total value of the investment plus interest increase to $40,000?
Choices:
15
18
20
24
Answer: A
Question: Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire
rest of the car, then the share of each of the remaining persons increased by ?
Choices:
1/8
1/7
7/8
8/7
Answer: A
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is
Choices:
1/2
7/2
8/2
6/2
Answer: A
Question: Departments A, B, and C have 4 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are possible?
Choices:
12,610
100,000
190,000
400,000
Answer: A
Question: A father is Quadrice as old as his daughter today. After 20 years, he would be only two times as old. At the time of daughter’s birth, how much old the father be?
Choices:
30
40
20
60
Answer: A
Question: The unit digit in the product (784 x 618 x 917 x 463) is:
Choices:
9
16
2
42
Answer: C
Question: Find the average of all the numbers between 16 and 34 which are divisible by 5?
Choices:
20
28
30
15
Answer: B
Question: How much time will take for an amount of Rs. 100 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
4
18
10
15
Answer: B
Question: A fill pipe can fill 1/3 of cistern in 20 minutes in how many minutes, it can fill 3/4 of the cistern?
Choices:
45 min
25 min
40 min
50 min
Answer: A
Question: There are 4 copies of 5 different textbooks. In how many ways can they be arranged on a shelf?
Choices:
20!/5(4!)
20!/(4!)^5
20!
5!
Answer: B
Question: We define that K@J is the product of j number from k in increasing order for positive integers K, J. For example, 6@4=6*7*8*9. If A=2020and B=2120, what is the value Q of the ratio A/B?
Choices:
1/2
2/3
1/4
1/5
Answer: A
Question: In a bag, there are 10 discs, numbered 1 to 10 (no duplicates). If we randomly choose 4 of the discs, what is the probability that the range of the numbers chosen is 7?
Choices:
1 / 7
3 / 14
9 / 28
4 / 7
Answer: B
Question: If 0.25 : x : : 2 : 6, then x is equal to
Choices:
0.25
0.75
0.85
None
Answer: B
Question: Ravi can do a piece of work in 26 days while Prakash can do it in 40 days. In how many days will they finish it together?
Choices:
15 25/33 days
17 1/33 days
17 25/33 days
18 1/33 days
Answer: A
Question: Find the invalid no.from the following series 12, 19, 24, 31, 36, 39
Choices:
18
40
39
25
Answer: C
Question: For every integer n ≥ 3, the function h(n) is defined as the product of all the odd integers from 1 to n, inclusive. What is the value of h(101) + h(100)?
Choices:
100
102
99
105
Answer: B
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
70
27
29
20
Answer: A
Question: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 65 kilometers, Maxwell's walking speed is 2 km/h, and Brad's running speed is 3 km/h. What is the distance traveled by Maxwell when they meet in the middle?
Choices:
23
22
24
26
Answer: D
Question: How many 1/3 pound paperback books together weigh 25 pounds?
Choices:
50
60
75
80
Answer: C
Question: One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
Choices:
3/13
3/11
3/12
3/18
Answer: A
Question: A certain culture of bacteria quadruples every hour. If a container with these bacteria was half full at 11:00 a.m., at what time was it one-eighth full?
Choices:
10:00 a.m.
6:00 a.m.
4:00 a.m.
2:00 a.m.
Answer: A
Question: A person takes 20 minutes more to cover a certain distance by decreasing his speed by 20%. What is the time taken to cover the distance at his original speed?
Choices:
1 hour 23 minutes
1 hour 20 minutes
1 hour 28 minutes
1 hour 26 minutes
Answer: B
Question: Which of the following are divisible by both 2 and 3?
I. 234,124,422
II. 88,865,544,274
III. 5,555,554,673
Choices:
I​ only
II and III
II Only
I​ and III
Answer: A
Question: Three numbers are in the ratio 3:5:8. The largest number value is 152. Find difference between Smallest & largest number is?
Choices:
90
38
95
78
Answer: C