antoine-444/aqua_rat_dataset huggingface dataset:
Question: A bullet train 220 m long is running with a speed of 59 kmph. In what time will it pass a man who is running at 7 kmph in the direction opposite to that in which the bullet train is going?
Choices:
15 sec
12 sec
11 sec
16 sec
Answer: B
Question: In an entrance exam, 3 marks is awarded for every correct answer and (-1) for every wrong answer. If a student gets 38 marks after attempting all questions, find the number of questions answered correctly if the total questions were 70.
Choices:
27
26
29
71
Answer: A
Question: The mean of 50 observations is 200. But later he found that there is decrements of 15 from each observations. what is the the updated mean is ?
Choices:
185
190
198
199
Answer: A
Question: A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is 35, how many coins of each type are there?
Choices:
20 coin
28 coins
25 coins
None of these
Answer: A
Question: A basket of 2 apple is to be chosen from four apples. What is the probability ways of apples that can be chosen?
Choices:
6
10
4
2
Answer: A
Question: AB
+BA
-----------
AAC
In the correctly worked addition problem shown here, where the sum of the two-digit positive integers AB and BA is the three-digit integer AAC, and A, B, and C are different digits, what is the units digit of the integer AAC?
Choices:
6
3
0
2
Answer: C
Question: Triangle ABC will be constructed in a xy-plane according to the following conditions: Angle ABC is 90 degrees, and AB is parallel to the y-axis; for each of points A, B and C, both the x-coordinate and the y-coordinate must be integers; the range of possible x-coordinates is 0=<x=<5 and the range of possible y-coordinates is -4=<y=<6. Any two triangles with non-identical vertices are considered different. Given these constraints, how many different triangles could be constructed?
Choices:
66
2500
3300
4356
Answer: C
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
12
77
99
21
Answer: A
Question: In a box, there are 10 red, 6 blue and 7 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Choices:
10/23
7/12
11/31
13/17
Answer: A
Question: A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 4 miles per hour and returns along the same road at an average speed of 5 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour?
Choices:
(b) 5
(c) 40/9
(d) 27/5
(e) 28/5
Answer: B
Question: The milk level in a rectangular box measuring 62 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons)
Choices:
250
750
5812.5
5835.5
Answer: C
Question: Goldman Limited has 5 Senior Managing Directors and 6 Managing Directors. Each investment banking deal requires the guidance of four managing directors, at least one of which must be a Senior Managing Director. How many possible investment banking deals can Morgan Limited possibly provide guidance for?
Choices:
236
315
514
614
Answer: B
Question: What is the smallest positive integer m such that the following equation
holds for some polynomials u(x) and v(x) with integer coefficients?
(x + 2)(x + 5)(x + 7) u(x) − (x − 2)(x − 5)(x − 7) v(x) = m
Choices:
1260
1680
3780
7560
Answer: D
Question: The sum of ages of 5 girls born at the intervals of 2 years each is 50 years. What is the age of the youngest girl?
Choices:
years
years
years
years
Answer: A
Question: If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 3 days ?
Choices:
X-1/8
X/4
X/32
X/16
Answer: A
Question: If Joanie puts $500 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
Choices:
$510
$550
$551.25
$565
Answer: C
Question: The ratio of the money with Ravi and Giri is 6:7 and that with Giri and Kiran is 6:15. If Ravi has $36, how much money does Kiran have?
Choices:
$42
$60
$75
$105
Answer: D
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 16 hours and 4 hours respectively. The ratio of their speeds is:
Choices:
2 : 4
6 : 7
9 : 16
None of these
Answer: A
Question: If the sum of the interior angles of a regular polygon measures up to 900 degrees, then how many sides does the polygon have?
Choices:
16
12
11
7
Answer: D
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 12% if no discount was offered?
Choices:
17920
17604
17600
117601
Answer: A
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 37 min, then the slower pipe alone will be able to fill the tank in?
Choices:
787
144
148
121
Answer: C
Question: If a person has two rectangular fields. The larger field has thrice the length and 4 times the width of the smaller field. If the smaller field has a length 50% more than the width.If a person takes 20 minutes to complete one round of a smaller field then what is the time required to complete one round of a larger field ?
Choices:
68 minutes
58 minutes
48 minutes
67 minutes
Answer: A
Question: Three years ago the average age of a family of eight members was 20 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
Choices:
A)4
C)2
D)1
E)5
Answer: A
Question: Mr. Moses made an investment of Rs.350. he receives a fixed interest which is compounded annually. His investment doubled after 3 years when compounded annual. How many more years will it take him to get another Rs.700 compound interest?
Choices:
5 years
1 years
3 years
2 years
Answer: C
Question: Which of the following numbers should not be included in the set?
331, 482, 551, 263, 381, 242, 111
Choices:
381
242
111
None of these
Answer: A
Question: Find the highest common factor of 36 and 84.
Choices:
6
12
16
18
Answer: B
Question: A car ferry can hold up to 60 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 5 tons?
Choices:
12
16
18
20
Answer: D
Question: A and B complete a work in 10 days. A alone can do it in 40 days. If both together can do the work in how many days?
Choices:
0.125 days
0.0675 days
0.0875 days
0.0775 days
Answer: A
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 4 years and that for 9 years?
Choices:
2 : 3
1 : 2
4 : 9
1 : 4
Answer: C
Question: Hitesh is 40 years old and Ronnie is 60years old. How many years ago was the ratio of their ages 3:5?
Choices:
10
20
8
12
Answer: A
Question: Peter mixed 24 kg of butter at $150 per kg with 36 kg butter at the rate of $125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
Choices:
$177
$189
$190
$153
Answer: B
Question: The largest number amongst the following that will perfectly divide 101100 – 1 is?
Choices:
91000
10000
11000
12000
Answer: B
Question: Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg. How much amount did he pay to the shopkeeper?
Choices:
B)1075
C)1065
D)1235
E)1080
Answer: C
Question: If a family spends 40 percent of its household budget on rent and utilities, 30 percent to food, and 20 percent on other bills, what fraction of their monthly budget is available for savings ?
Choices:
1/10
3/5
1/10
3/10
Answer: C
Question: A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
Choices:
5
7
7
1
Answer: A
Question: A rectangular tiled patio is composed of 40 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 40 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?
Choices:
6
10
13
28
Answer: A
Question: krishna has 20 apples.ram has 15 apples. Totally how many apples they have in all?
Choices:
25
55
15
35
Answer: D
Question: Ram is able to sell a hand-carved statue for $770 which was a 10% profit over his cost. How much did the statue originally cost him?
Choices:
$512.40
$555.40
$700
$588.20
Answer: C
Question: n a certain flower shop, which stocks four types of flowers, there are 1/3 as many violets as carnations, and 1/4 as many tulips as violets. If there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations?
Choices:
63
64
66.66
65
Answer: C
Question: PZQW : NXOU :: FISK :?
Choices:
FERI
DGQI
HKUM
HKUN
Answer: B
Question: Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio J of the amount of time it will take Machines X and Z to complete the job to the ratio of the amount of time it will take Machines Y and Z to complete the job?
Choices:
10 to 7
1 to 5
7 to 10
9 to 10
Answer: C
Question: A certain number of workers can do a work in 45 days. If there were 10 workers more it could be finished in 10 days less. How many workers are there?
Choices:
30
28
24
35
Answer: D
Question: A train 575 m long crosses a tunnel of length 325 in 90 sec. What is the speed of the train in kmph.
Choices:
32
36
24
30
Answer: B
Question: If X and Y are both positive two-digit integers and share no digits, and X > Y, what is the smallest possible value of X - Y?
Choices:
1
2
3
9
Answer: A
Question: Find the average of first 4 multiples of 9?
Choices:
12.6
22.5
31.3
40.8
Answer: B
Question: A table is bought for Rs.500/- and sold at a loss of 10% find its selling price
Choices:
s.450/-
s.540/-
s.600/-
s.700/-
Answer: A
Question: If the remainder is 11 when the integer n is divided by 20, what is the remainder when 2n is divided by 10?
Choices:
1
2
3
4
Answer: B
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is?
Choices:
11 years
67 years
14 years
12 years
Answer: A
Question: On Children's Day, sweets were to be equally distributed among 175 children in a school. Actually on the Children's Day, 35 children were absent and therefore each child got 4 sweets extra. Total how many sweets were available for distribution ?
Choices:
2480
2680
2800
2900
Answer: C
Question: A circular well with a diameter of 6 metres , is dug to a depth of 24 metres. What is the volume of the earth dug out?
Choices:
678.6 m3
40 m3
44 m3
None
Answer: A
Question: Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 30 km apart, if they walk in the same direction?
Choices:
15hours
8hours
10hours
12hours
Answer: A
Question: A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
Choices:
60
91
26
21
Answer: A
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
Choices:
60 kg
72 kg
80 kg
96 kg
Answer: A
Question: A person sold two cows each for Rs.9900. If he gained 10% on one and lost 20% on the other, then which of the following is true?
Choices:
He lost Rs. 200
He neither gained nor lost
None of the above
He lost Rs. 400
Answer: C
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 18 months?
Choices:
18:11
18:10
18:12
18:13
Answer: A
Question: A train travels at an average of 50 miles per hour for 2 1/2 hours and then travels at a speed of 70miles per hour for 1 1/2 hours. How far did the train travel in the entire 4 hours?
Choices:
230miles
250miles
150miles
300miles
Answer: A
Question: In an examination, 35% candidates failed in one subject and 42% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared at the end of the examination how many passed in either subject but not in both?
Choices:
1020
1175
1243
1525
Answer: B
Question: 12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 10 days, working 12 hours a day, the number of men required?
Choices:
9 days
6 days
8 days
7 days
Answer: C
Question: Which of the following numbers is not prime?
Choices:
20-1
3+4
59-6
9+6
Answer: D
Question: If A's height is 30% less than that of B, how much percent B's height is more than that of A?
Choices:
42.85%
66.766%
86.66%
66.65%
Answer: A
Question: There are 8 magazines lying on a table; 4 are movie magazines and the other 4 are education magzines. If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the movie magazine will be selected?
Choices:
11/14
13/14
1/14
3/14
Answer: B
Question: A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
Choices:
77 days
8 days
5 days
6 days
Answer: C
Question: 5n + 2 > 12 and 7n - 12 < 44; n must be between which numbers?
Choices:
2 and 8
0 and 9
2 and 7
2 and 9
Answer: A
Question: A cistern is filled by pipe A in 8 hours and the full cistern can be leaked out by an exhaust pipe B in 12 hours. If both the pipes are opened, in what time the cistern is full?
Choices:
24hrs
70hrs
80hrs
90hrs
Answer: A
Question: When sold at a 60% discount, a sweater nets the merchant a 20% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price?
Choices:
40%
66.67%
80%
100%
Answer: B
Question: A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Choices:
10/21
10/20
10/22
10/24
Answer: A
Question: Exactly 36% of the numbers in set Q are even multiples of 3. If 40% of the even integers in set Q are not multiples of 3, what percent of the numbers in set Q are not even integers?
Choices:
60%
50%
40%
24%
Answer: C
Question: If |x - 16| = 2x, then x=?
Choices:
15
-16
16
5
Answer: B
Question: The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 17,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?
Choices:
9,500,148 kilometers squared
7,500,148 kilometers squared
4,500,148 kilometers squared
1,500,148 kilometers squared
Answer: B
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Choices:
3630
356E3
3778
838
Answer: A
Question: 54671 - 14456 - 31466 = ?
Choices:
5449
8749
8449
6468
Answer: B
Question: Insert the missing number
121, 112, ..., 97, 91, 86
Choices:
108
99
104
114
Answer: C
Question: The distance between two stars is 2.5 × 10^5 light years. What is the distance between the two stars in parsecs? (1 parsec = 3.26 light years)
Choices:
3.3 × 10^4
7.7 × 10^4
9.9 × 10^5
1.1 × 10^6
Answer: B
Question: A can complete a work in 12days and B can do the same work in 6days. If A after doing 3days, leaves the work, find in how many days B will do the remaining work?
Choices:
4 1/2days
6 1/2days
7 1/2days
10 1/2days
Answer: A
Question: Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
Choices:
86%
96%
56%
92%
Answer: B
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
Choices:
1238
1200
1233
1234
Answer: B
Question: Paul earns $12000 an year from his job. His income increased and now makes $13500 an year. What is the percent increase?
Choices:
20%
15.5%
12.5%
10.5%
Answer: C
Question: A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Choices:
28 hours
55 hours
66 hours
47 hours
Answer: A
Question: (9568422 x 558) = ?
Choices:
5339179476
5346381356
5846381406
5346381456
Answer: A
Question: A number is missing from the number series below.
Can you find it ?
84, ?, 258, 399 , 584, 819.
Choices:
155
399
421
449
Answer: A
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.75 only. Menâ€™s wages are?
Choices:
7Rs
8Rs
5Rs
1Rs
Answer: C
Question: If in a certain sequence of consecutive multiples of 100, the median is 750, and the greatest term is 1200, how many terms that are smaller than 650 are there in the sequence?
Choices:
7
8
12
13
Answer: B
Question: Pipe A fills a tank in 56 minutes. Pipe B can fill the same tank 7 times as fast as pipe A. If both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank?
Choices:
5
6
7
8
Answer: C
Question: If x and y are distinct prime numbers less than ten, what must be true about the product of x and y?
Choices:
xy is odd
xy < 0
xy < 36
xy > 6
Answer: C
Question: One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 24 cm2. Find the lengths of all sides.
Choices:
7 and 10
10 and 7
3 and 10
13 and 10
Answer: D
Question: The angles of a triangle are in the ratio 1:3:8. Find the measurement of the three angles of triangle.
Choices:
100°
120°
140°
160°
Answer: B
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount?
Choices:
105
288
267
168
Answer: A
Question: Cost of 16 mirror and 8 comb is Rs.360 and the cost of 4 mirror and 4 comb is Rs.96. Find the cost of each mirror?
Choices:
12
20
21
22
Answer: C
Question: A 90-liter solution of cool-drink is made from 5% jasmine water. If 6.5 liters of jasmine and 13.5 liters of water were added to the solution, what percent of the solution is jasmine?
Choices:
8.5%
9%
9.5%
10%
Answer: D
Question: In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 6 eggs. If the cost of each pound of rice is $0.24, then how many cents does a liter of kerosene cost? [One dollar has 100 cents.]
Choices:
0.24
20
24
55
Answer: C
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:
88
36
88
27
Answer: B
Question: How many months are in 3 years?
Choices:
12
30
36
30
Answer: C
Question: What will be the fraction of 10%
Choices:
1/5
1/10
1/11
None of above
Answer: B
Question: The number of arrangements that can be made with the letters of the word COPY so that the vowels occupy the even places?
Choices:
6
777
992
221
Answer: A
Question: A bowl has only 6 apples and 6 bananas. If one piece of fruit is selected from the bowl at random, and a second piece is selected from the bowl without replacing the first, what is the probability that both pieces of fruit chosen are apples?
Choices:
1/5
2/9
30/131
1/2
Answer: C
Question: If n ≠ 0, which of the following must be greater than n?
I. 4n
II. n^2
III. 2 - n
Choices:
II only
I and II only
II and III only
None
Answer: A
Question: A train 250 m long running at 72 kmph crosses a platform in 30 sec. What is the length of the platform?
Choices:
350m
250m
270m
300 m
Answer: A
Question: A train 300 m long passed a pole in 22 sec. How long will it take to pass a platform 725 m long?
Choices:
59 sec
73 sec
67 sec
76 sec
Answer: B
Question: From 5 positive numbers and 6 negative numbers, how many groups of 4 numbers, yielding a positive product, can be formed?
Choices:
170
30
960
255
Answer: A
Question: A man can row a boat at 14 kmph in still water. If the speed of the stream is 5 kmph, what is the time taken to row a distance of 80 km downstream?
Choices:
90/18
80/19
70/19
60/19
Answer: B
Question: Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x hours. Working alone at its constant rate, Machine A produces 800 nails in q hours. In terms of x and q, how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails?
Choices:
y/(x+y)
xy/(x+y)
xy/(x-y)
xq/(q-x)
Answer: D
Question: 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days.In how many days can 2 men and 1 boy do the work?
Choices:
21/2
27/2
23/2
25/2
Answer: D
Question: The ratio of the incomes of A and B is 5:4 and the ratio of their expenditure is 3:2. If at the end of the year, each saves $1600 then the income of A is?
Choices:
$4000
$2000
$2500
$3200
Answer: A
Question: A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
Choices:
12000
28992
13009
28811
Answer: A
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
Choices:
27
20
80
81
Answer: C
Question: Mr Shivkumar started a business, investing 25000 in 1996. In 1997 he invested an additional amount of 10000 and Mr Rakesh joined him with an amount of 35000. In 1998, Mr Shivkumar invested another additional amount of 10000 and Mr Suresh joined them with an amount of 35000. What will be Rakesh’s share in the profit of 150000 earned at the end of three years from the start of the business in 1996?
Choices:
50000
45000
75000
None of these
Answer: A
Question: There are 250 scraps. For each 11 cutting one extra can be obtained. How much maximum is possible, if one cut by one unit?
Choices:
272
273
274
275
Answer: A
Question: a man have 800kg mango.he found 8% of its mango are rotten.then how much mango is rotten?
Choices:
64
68
65
82
Answer: A
Question: In a graduating class, 40 percent of the students are male. In this class, 50 percent of the male students and 40 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
Choices:
0.5
0.56
0.62
0.68
Answer: B
Question: If 2x=y=6z, what is x-z, in terms of y?
Choices:
2y
y/2
y/3
y/4
Answer: C
Question: which of the following could be the greatest common factor of positive integers 4 and 6 ? I) 8 II) 4 III) 2
Choices:
II only
II,III only
I, II only
III only
Answer: D
Question: Ajay pays Rs 8.0 per litre of spirit. He adds water and sells the mixture at Rs 9 per litre, thereby making 40 % profit. The proportion of water to spirit received by the customers is
Choices:
11:45
2:45
45:2
None of these
Answer: A
Question: Cole drove from home to work at an average speed of 80 kmh. He then returned home at an average speed of 120 kmh. If the round trip took a total of 2 hours, how many minutes did it take Cole to drive to work?
Choices:
70
72
75
78
Answer: B
Question: Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 5% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
Choices:
3:5
4:7
2:6
1:4
Answer: A
Question: What will be the cost of building a fence around a square plot with area equal to 36 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
2287
2977
2668
1392
Answer: D
Question: 2 dice are tossed. What is the probability that the total score is a prime no. is?
Choices:
5/12
6/13
7/15
8/21
Answer: A
Question: A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
Choices:
Rs.15000
s.17000
Rs.14000
Rs.19000
Answer: C
Question: 9 men are equal to as many women as are equal to 7 boys. All of them earn Rs.216 only. Men’s wages are?
Choices:
5
2
8
2
Answer: C
Question: The average age of 3 girls is 24 years and their ages are in the proportion 1:2:3. The age of the youngest girl is?
Choices:
11 years
12 years
13 years
14 years
Answer: B
Question: In flip of coin seven times in a row, what is the probability that the result will not be tails at any ?
Choices:
1/128
35/128
1/16
1/4
Answer: A
Question: 12 buckets of water fill a tank when the capacity of each bucket is 49 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 7 litres?
Choices:
84
80
82
86
Answer: A
Question: As they say, beggars can't be choosers, in fact begger take what they can get. A begger on the street can make one cigarette out of every 6 cigarette butts he finds. After one whole day of searching and checking public ashtrays the begger finds a total of 72 cigarette butts. How many cigarettes can he make and smoke from the butts he found?
Choices:
14
15
10
13
Answer: A
Question: Given that x and y are nonnegative integers, compute the number of pairs (x, y) such that
5x + y = 20.
Choices:
3
5
9
8
Answer: B
Question: A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
Choices:
48 days
17 days
87 days
12 days
Answer: A
Question: Of 64 players on a cricket team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
Choices:
55
59
71
92
Answer: A
Question: Roger can read a book in k minutes. What part of the book can he read in 9 minutes? (k>8)
Choices:
8/k
k/8
(k+ 8)/k
(k-8) / k
Answer: B
Question: What is the dividend. divisor 14, the quotient is 9 and the remainder is 5?
Choices:
B)131
C)148
D)158
E)160
Answer: A
Question: 4 professors and 6 students are being considered for membership on a supervisory committee which must consist of 3 people. If the committee has to include at least 2 professor, how many ways can this committee be formed?
Choices:
64
72
80
100
Answer: A
Question: How many three letter words are formed using the letters of the word LUNCH?
Choices:
B)150
C)12
D)120
E)18
Answer: C
Question: A person covered one-fourth of the total distance at 15 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Choices:
20 (20/23)kmph
20 (17/23)kmph
27 (1/23)kmph
21 (1/8)kmph
Answer: A
Question: Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 70 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
Choices:
12 : 7
13 : 7
15 : 6
13 : 6
Answer: B
Question: If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Choices:
4/5
4/0
4/2
4/1
Answer: A
Question: On the number line, the number p is twice as many units from -2 as -2 is from 4. If p is less than –2, what is the value of p ?
Choices:
–14
–6
10
14
Answer: A
Question: In a bag containing only blue, red and green marbles, all but 15 are blue, all but
13 are red and all but 12 are green. How many are red?
Choices:
7
25
20
10
Answer: A
Question: A first grade teacher uses ten playing cards, each numbered from 1 to 10, to teach her students to order numbers correctly. She has students choose four flash cards randomly, then arrange the cards in ascending order. One day, she removes the cards '2' and '4' from the deck. On that day, how many different correct arrangements of four randomly selected cards are possible?
Choices:
70
50
40
30
Answer: A
Question: In the sequence 1, 2, 4, 8, 16, 32, …, each term after the first is twice the previous term. What is the sum of the 16th, 17th, and 19th terms in the sequence?
Choices:
3(2^17)
7(2^16)
3(2^16)
11(2^15)
Answer: D
Question: In an xy-coordinate plane, a line is defined by y = kx + 1. If (1, b), (a, 4), and (a, b+1) are three points on the line, where a and b are unknown, then k = ?
Choices:
1
3/2
2
5/2
Answer: C
Question: If the height of a cone is increased by 190% then its volume is increased by?
Choices:
777
998
190
2879
Answer: C
Question: A set of numbers has the property that for any number t in the set,t+3 is in the set. If -2 is in the set, which of the following must also be in the set? I. -3 II. 1 III. 4
Choices:
III only
II only
II,III only
I only
Answer: C
Question: If a:b = 2:3 and b:c = 4:3, then find a:b:c
Choices:
8:12:9
2:3:9
2:3:12
None of these
Answer: A
Question: If the L.C.M of two numbers is 660 and their product is 18480, find the H.C.F of the numbers.
Choices:
30
125
25
None of these
Answer: D
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choices:
5
8
9
6
Answer: B
Question: The average of 6 no.'s is 5.40. The average of 2 of them is 5.2, while the average of the other 2 is 5.80. What is the average of the remaining 2 no's?
Choices:
5.2
3.6
4.5
4.6
Answer: A
Question: The simple Interest on a certain sum of money at the rate of 4% p.a. for 5 years is Rs. 1680. At what rate of interest the same amount of interest can be received on the same sum after 4 years ?
Choices:
5%
8%
4%
7%
Answer: A
Question: The average of first 20 prime numbers is?
Choices:
8.6
9.3
9.6
9.8
Answer: C
Question: At 1:00 PM, Train X departed from Station A on the road to Station B. At 1:30 PM, Train Y departed Station B on the same road for Station A. If Station A and Station B are p miles apart, Train X’s speed is r miles per hour, and Train Y’s speed is s miles per hour, how many hours after 1:40 PM, in terms of p, r, and s, do the two trains pass each other?
Choices:
(p - 0.5s)/(r + s)
0.5 + (p - 0.5r)/r
(p - 0.5r)/(r + s)
0.5 + (p - 0.5r)/(r + s)
Answer: B
Question: A work crew of 7 Men takes 10 days to complete one-half of a job. If 8 men are then added to the crew and the men continue to work at the same rate, how many days will it take the enlarged crew to do the rest of the job?
Choices:
3
3 1/3
4
4 2/3
Answer: D
Question: If the annual interest on a principal is 25%, how many years before the amount is double?
Choices:
3
7
4
5
Answer: C
Question: A 10-by-4 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed?
Choices:
The volume of the cylinder with height 4 is 40/pi cubic inches greater than the volume of the cylinder with height 10.
The volume of the cylinder with height 10 is 40pi cubic inches greater than the volume of the cylinder with height 6.
The volume of the cylinder with height 4 is 40pi cubic inches greater than the volume of the cylinder with height 10.
The volume of the cylinder with height 4 is 240/pi cubic inches greater than the volume of the cylinder with height 10.
Answer: A
Question: How many positive integers less than 300 are there such that they are multiples of 17 or multiples of 16?
Choices:
32
33
34
35
Answer: C
Question: What is the unit’s digit of 7^8?
Choices:
1
3
4
5
Answer: A
Question: A certain experimental mathematics program was tried out in 2 classes in each of 38 elementary schools and involved 44 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. If the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are
Choices:
0 and 14
0 and 16
1 and 9
2 and 8
Answer: B
Question: A student traveled 25 percent of the distance of the trip alone, continued another 40 miles with a friend, and then finished the last half of the trip alone. How many miles long was the trip?
Choices:
140
160
180
200
Answer: B
Question: X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z?
Choices:
Rs. 120
Rs. 240
Rs. 300
None
Answer: A
Question: What is the are of an equilateral triangle of side 8 cm?
Choices:
12√3
16√3
15√3
18√3
Answer: B
Question: In the xy-plane, a triangle has vertices (0,0), (4,0) and (4,8). If a point (a,b) is selected at random from the triangular region, What is the probability that a-b>0?
Choices:
1/3
1/2
2/3
4/5
Answer: B
Question: If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?
Choices:
1.44%
7.44%
8.44%
2.44%
Answer: A
Question: There are three places P, Q and R such that 3 roads connects P and Q and 4 roads connects Q and R. In how many ways can one travel from P to R?
Choices:
12
28
80
84
Answer: A
Question: If the average (arithmetic mean) of a and b is 40 and the average of b and c is 60, what is the value of c − a?
Choices:
40
90
140
It cannot be determined from the information given.
Answer: A
Question: Calculate the L.C.M of 2/5, 4/ 7, 3/7, 6/13 is :
Choices:
14
13
12
11
Answer: C
Question: A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
9:8
9:3
9:1
9:2
Answer: A
Question: Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes at 13 km/hr downstream and 4 km/hr upstream.
Choices:
9.5 kmph
7.5 kmph
8.5 kmph
5.5 kmph
Answer: C
Question: a number divided by 84 leaves remainder 57 what is the remainder when same number divided by 12
Choices:
8
9
10
11
Answer: B
Question: Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
Choices:
635.5
635.51
635.59
635.54
Answer: A
Question: A contractor undertakes to built a walls in 50 days. He employs 60 peoples for the same. However after 25 days he finds that only 40% of the work is complete. How many more man need to be employed to complete the work in time?
Choices:
90
35
20
None of these
Answer: A
Question: Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $3 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 18 percent, what is the discount rate on Pony jeans?
Choices:
56.6%
11%
12%
15%
Answer: A
Question: Find the compound ratio of (2:5), (6:11) and (11:2) is
Choices:
2:1
1:2
6:5
2:3
Answer: C
Question: If two-third of a bucket is filled in 6 minute then the time taken to fill the bucket completely will be .
Choices:
70 seconds
60 seconds
9 minutes
120 seconds
Answer: C
Question: In a queue if 30 children were made to stand in a column, 16 columns could be formed. If 24 children were made to stand in a column, how many columns could be formed?
Choices:
20
25
36
40
Answer: A
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:
27
36
88
12
Answer: B
Question: [(7 * 9) + (2 * 12) + 3]/[(12 * 3) + (81/9)] = ?
Choices:
60
1.75
4.5
None of these
Answer: D
Question: Two family reunions are happening at the same hotel, the Dates reunion and the Hall reunion. All 50 guests at the hotel attend at least one of the reunions. If 50 people attend the Dates reunion and 60 people attend the Hall reunion, how many people attend both reunions?
Choices:
5
10
16
60
Answer: D
Question: What will be the cost of building a fence around a square plot with area equal to 81 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
2088
2999
2667
2121
Answer: A
Question: fill in ht blank:(a) the point with ___ (0,0) is called origin of a rectangular coordinate system,(b) to find the y-intercept of a line, we let ___ equal 0 and solve for ___; to find x- intercept , we let ____ equal 0 and solve for___
Choices:
(a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x
(a) the point with axis (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let z equal 0 and solve for x ; to find x- intercept , we let x equal 0 and solve for y
(a) the point with xyz (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x
none of the above
Answer: A
Question: Six years ago, the ratio of the ages of Kunal and Sagar was 6:5, Four years hence, the ratio of their ages will be 11:10. What is Sagar age at present
Choices:
17
15
16
12
Answer: C
Question: A can complete a project in 20 days and B can complete the same project in 20 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?
Choices:
27 days
26.67 days
16 days
15 days
Answer: D
Question: The positive numbers w, x, y, and z are such that x is 40 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
Choices:
16.0%
20.0%
23.2%
24.8%
Answer: C
Question: Ashok secured average of 72 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
Choices:
62
78
80
None of these
Answer: A
Question: A cube has a volume of 64 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
Choices:
48
64
80
512
Answer: D
Question: John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 50 miles per hour, what is v in miles per hour?
Choices:
20
50
55
70
Answer: A
Question: If a person moves 15km straight and turns right and moves 15km straight then how much distance he needs to walk to reach starting point?
Choices:
21.2
23.2
24.2
26.2
Answer: A
Question: The profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448. What should be the sale price for making 30% profit?
Choices:
$450
$960
$832
$660
Answer: C
Question: Tomeka is playing a dice game. If she rolls the same number on her second roll as she rolls on her first, she wins. Each roll is with two, fair, six-sided dice. If Tomeka rolled a seven on her first roll, what is the probability that she will win on her second roll?
Choices:
1/5
1/6
1/9
1/12
Answer: B
Question: 2/3rd of the boys and 3/4th of the girls of a school participate in a function. If the no.of participating students is 550, out of which 150 are girls, what is the total no.of students in the school?
Choices:
400
800
900
1000
Answer: B
Question: If 8 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
Choices:
8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
8 × 9
28
45
Answer: C
Question: If x and y are positive integers such that x/y = 6.8, which of the following numbers could be y?
Choices:
3
2
6
10
Answer: B
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
1/1
1/6
1/3
Answer: A
Question: A shopkeeper sells a TV set for 16560 at 10 % discount on its marked price and earns 15 % profit. If no discount is offered, then what will be his present per cent profit?
Choices:
27 7⁄9
25 7⁄9
Data inadequate
None of these
Answer: A
Question: Old women said no of days of my grand daughter = no of months my daughters is?
And my age in no of years is= no of weeks of my grand daughter . sum of their ages is 115. Find d old women age?
Choices:
71.7 years
73.7 years
74.7 years
75.7 years
Answer: A
Question: The ratio by weight, measured in pounds, of books to clothes to electronics in a suitcase initially stands at 7:4:3. Someone removes 8 pounds of clothing from the suitcase, thereby doubling the ratio of books to clothes. How many pounds do the electronics in the suitcase weigh?
Choices:
8
10
12
14
Answer: C
Question: 1, 0.5, 0.25, 0.125, 0.0625, ?
Choices:
0.03125
0.0078125
None of these
0.025874
Answer: A
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
None of these
Answer: B
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 5 Years?
Choices:
7%
9%
2%
4%
Answer: D
Question: The difference of two numbers is 1415. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Choices:
B)280
C)290
D)300
E)310
Answer: A
Question: A train traveled the first d miles of its journey it an average speed of 60 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. If the train’s average speed over the total distance was 94 miles per hour, what is the value of y?
Choices:
98
90
120
135
Answer: A
Question: Four faces of a fair die are Yellow, two faces red and one blue.The die is tossed three
times. The probability that the colours, yellow, red and blue appear in the first, second and
third tosses respectively is
Choices:
1/18
1/32
1/27
None of these
Answer: C
Question: Country X imported approximately $1.44 billion of goods in 1996. If Country X imported $488 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year, by how much would Country Xs 1997 imports exceed those of 1996?
Choices:
$1120 million
$1144 million
$1240 million
$1488 million
Answer: D
Question: A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?
Choices:
5%
3%
9%
2%
Answer: A
Question: One pump drains one-half of a pond in 4 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
Choices:
1.1 hour
3 hours
5 hours
6 hours
Answer: A
Question: A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of t square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
Choices:
(5,280 mt) / 12 t
(5,280 pmt) /12
(5,280)(12m) / pt
(5,280)(12p) / mt
Answer: A
Question: 8^100 is divisible by 17. Find the remainder?
Choices:
12
16
21
26
Answer: B
Question: In the Biotechnology class of 2000, there were W graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is W equal to?
Choices:
71.
73.
75.
76.
Answer: B
Question: On an order of 5 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of:
Choices:
18 2/8%.
16 2/3%.
18 2/3%.
19 2/3%.
Answer: B
Question: The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical W present. If the concentration of chemical W is increased by 100 percent, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
Choices:
50% decrease
40% decrease
40% increase
50% increase
Answer: C
Question: If 2 cards are selected at random from the deck of 52 cards then What is the probability of one of the selected cards will be Jack and other will be Queen?
A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit
Choices:
1/2652
28/2652
6/2652
18/2652
Answer: D
Question: At a certain college, 80 percent of the total number of students are freshmen. If 60 percent of the fresh-men are enrolled in the school of liberal arts and, of these, 50 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
Choices:
30%
24%
28%
20%
Answer: B
Question: If the least common multiple of two prime numbers x and y is 77, where x > y, then the value of 2x + y is
Choices:
17
21
29
33
Answer: C
Question: Working at their respective constant rates, machine A makes 100 copies in 12 minutes and machine B makes 150 copies in 15 minutes. If these machines work simultaneously at their respective rates for 30 minutes, what is the total number of copies that they will produce?
Choices:
425
550
700
750
Answer: B
Question: How much time will it take for an amount of Rs. 400 to yield Rs. 60 as interest at 12% per annum of simple interest?
Choices:
4.25 years
7 years
1.25 years
2 years
Answer: C
Question: For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100) +2, then p is?
Choices:
between 10 and 20
between 20 and 30
between 30 and 40
2
Answer: D
Question: If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
Choices:
320
364
390
430
Answer: B
Question: The operation is defined for all integers a and b by the equation ab = (a - 1)(b - 1). If x9 = 160, what is the value of x ?
Choices:
15
17
19
21
Answer: D
Question: If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 5000 in a long term bond that pays 4 percent interest, compounded annually, what will be the approximate total amount of investment 36 years later, when Pat is ready for college?
Choices:
$20000
$12000
$10000
$9000
Answer: A
Question: A train has a length of 150 meters . it is passing a man who is moving at 7 km/hr in the same direction of the train, in 3 seconds. Find out the speed of the train.
Choices:
180 km/hr
152 km/hr
169 km/hr
187 km/hr
Answer: D
Question: A man cycles at a rate of 4 kmph. He cycles for 45 minutes and then takes a 15 minute break. Determine the total time taken to cover 12 kms by him.
Choices:
3 hours 49 minutes
3 hours 25 minutes
3 hours 45 minutes
8 hours 45 minutes
Answer: C
Question: The area of a square garden is A square feet and the perimeter is p feet. If a=2p+20, what is the perimeter of the garden, in feet?
Choices:
36
40
56
64
Answer: B
Question: The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle.
Choices:
84
82
80
None of them
Answer: A
Question: In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?
Choices:
720
420
122
450
Answer: A
Question: If a and b is a positive integer, then 2^a + 2^(b + 1) =
Choices:
2^(a + b)
2a+b
2^(a + 1+b)
none
Answer: C
Question: By selling an article at Rs.600, a profit of 30% is made. Find its cost price?
Choices:
400
287
480
811
Answer: A