antoine-444/aqua_rat_dataset huggingface dataset:
Question: Every day, Fred takes the train to travel from his work back to Alkmaar, his place of residence. Usually, he arrives at the station of Alkmaar at six o'clock, and exactly at that moment, his wife picks him up by car. Yesterday evening, Fred took an earlier train, without informing his wife, and therefore he already was at the station of Alkmaar at five o'clock. He decided to walk part of the way to meet his wife. When he met the car with his wife, he drove home with her. In this way, they were home ten minutes earlier than normal. Fred's wife always drives the entire way between home and station at the same constant speed.How long did Fred walk yesterday evening?
Choices:
55
58
65
59
Answer: A
Question: An article is bought for Rs.1200 and sold for Rs.800, find the loss percent?
Choices:
35%
33%
18%
12%
Answer: B
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 48?
Choices:
B)Rs.3948
C)Rs.3264
D)Rs.3949
E)Rs.3923
Answer: B
Question: The city of Boston decided to reconstruct its major tunnels. It estimated the job would require 612 mini projects spread evenly over an 18 month plan of completion. Only 108 mini projects had been successfully completed after 8 months. At this time, the construction was behind schedule by how many projects?
Choices:
96
198
164
504
Answer: C
Question: In an election, candidate A got 65% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate?
Choices:
355800
356500
309400
357000
Answer: C
Question: If xy = 2 and x^2 + y^2 = 12, then x/y + y/x =
Choices:
6
5 1/3
7
60
Answer: A
Question: If $25,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
Choices:
compounding daily
compounding monthly
compounding annually
All four of these would produce the same total
Answer: A
Question: Each of the integers from 3 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
Choices:
4
5
6
7
Answer: A
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
288
245
211
776
Answer: B
Question: One fourth of one third of two fifth of a number is 10. What will be40% of that number
Choices:
B)150
C)120
D)200
E)220
Answer: B
Question: The value of (2.502+0.064)^2 - (2.502-0.064)^2/2.502*0.064
Choices:
.235
4
3
2
Answer: B
Question: A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
Choices:
600 apples
672 apples
700 apples
720 apples
Answer: C
Question: What percentage of numbers from 1 to 95 have squares that end in the digit 0?
Choices:
14
9.47
21
22
Answer: B
Question: What is the angle between the 2 hands of the clock at 8:24 pm?
Choices:
107°
106°
108°
None of these
Answer: C
Question: A man can do a piece of work in 9 days, but with the help of his son he can do it in 3 days. In what time can the son do it alone ?
Choices:
6 1/2 days
5 1/2 days
4 1/2 days
None of these
Answer: C
Question: The average of 20 numbers is zero. Of them, How many of them may be greater than zero, at the most?
Choices:
20
0
19
20
Answer: C
Question: A meal cost $ 48.75 adn there was no tax. If the tip was more than 5 pc but less than 20pc of the price, then the total amount paid should be:
Choices:
55-58
51-59
39-41
38-40
Answer: B
Question: Solve below question 2x + 1 = -17
Choices:
-9
-5
-4
1
Answer: A
Question: The units digit of (35)^(87) + (93)^(46) is:
Choices:
4
6
8
0
Answer: A
Question: Maths, Physics and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books. Among all the books, 12 books are soft cover and the remaining are hard-cover. If there are a total of 7 hard-cover books among the maths and physics books. What is the probability T, that a book selected at random is either a hard cover book or a chemistry book?
Choices:
3/20
1/5
1/4
9/20
Answer: D
Question: 80% of the population of a village is 32000. The total population of the village is?
Choices:
40000
26682
29973
12312
Answer: A
Question: What is the % change in the area of a rectangle when its length increases by 20% and its width decreases by 20%?
Choices:
20% increase
20% decrease
4% decrease
Insufficient data
Answer: C
Question: In a class of 45 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only English and not German?
Choices:
10
18
23
32
Answer: C
Question: A 160 meter long train crosses a man standing on the platform in 12 sec. What is the speed of the train?
Choices:
48 kmph
92 kmph
86 kmph
76 kmph
Answer: A
Question: Two persons start running simultaneously around a circular track of length 700 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choices:
63
28
27
12
Answer: A
Question: If a 10 percent deposit that has been paid toward the purchase of a certain product is $105, how much more remains to be paid?
Choices:
$945
$1025
$1050
$1105
Answer: A
Question: TATA company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible?
Choices:
4,536
5,040
9,000
10,000
Answer: A
Question: A first grade teacher uses eight cards, each numbered from 1 to 8, 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:
15
60
45
33
Answer: A
Question: How much is 60% of 40 is greater than 4/5 of 25?
Choices:
4
10
8
13
Answer: A
Question: A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
Choices:
5 days
6 days
24 days
18 days
Answer: C
Question: Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Qâ€™s amount. At the end of the year 32% profit was earned which was equal to 98,000. What was the amount invested by R?
Choices:
1,05,000
1,75,000
Data inadequate
65625
Answer: D
Question: Mr. Thomas invested an amount of 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be 3508, what was the amount invested in Scheme B?
Choices:
6400
2280
3400
3490
Answer: A
Question: If P is a prime number greater than 7, what is the remainder when P^2 is divided by 8.
Choices:
3
1
2
Cannot be determined
Answer: B
Question: For any number Z, Z* is defined as the greatest positive even integer less than or equal to y. What is the value of 6.35 – 6.35*?
Choices:
0.35
6.25
0.25
6.0
Answer: A
Question: Margaret is 9 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages
Choices:
21yrs
30yrs
40yrs
50yrs
Answer: A
Question: The total marks obtained by a student in Mathematics and Physics is 70 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
Choices:
45
27
28
22
Answer: A
Question: There are 4 people who has to cross a stretch of 300 km. They normally run at a speed of 10 kmph. One of them has a bike that travels at 50 kmph. The bike first takes one person alone and crosses the stretch while the other two keep running. Then he comes back without wasting time and picks up from the way, drives him across the stretch, and does the same for the last person. How long does this whole process take?
Choices:
16 hrs
56/3 hrs
58/3 hrs
48/3 hrs
Answer: C
Question: Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 3 minutes A is turned off. After how much more time will the cistern be filled?
Choices:
8 1/1
8 1/4
8 1/2
8 3/7
Answer: B
Question: A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $340 million, approximately what was the percent increase in sales?
Choices:
17%
20%
65%
13%
Answer: D
Question: If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in?
Choices:
3 days
6 days
7 days
8 days
Answer: A
Question: The New York Classical Group is designing the liner notes for an upcoming CD release. There are 10 soloists featured on the album, but the liner notes are only 5 pages long, and therefore only have room for 5 of the soloists. The soloists are fighting over which of them will appear in the liner notes, though not about which page they appear on. How many different combinations W of soloists can appear in the liner notes?
Choices:
10!/(5!5!)
10!/5!
10!
10!*5!
Answer: A
Question: A business school club, Friends of Foam, is throwing a party at a local bar. Of the business school students at the bar, 40% are first year students and 60% are second year students. Of the first year students, 45% are drinking beer, 30% are drinking mixed drinks, and 25% are drinking both. Of the second year students, 30% are drinking beer, 30% are drinking mixed drinks, and 20% are drinking both. A business school student is chosen at random. If the student is drinking beer, what is the probability that he or she is also drinking mixed drinks?
Choices:
4/7
11/18
17/24
17/10
Answer: B
Question: Two employees X and Y are paid a total of Rs. 770 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
s.200
s.250
s.350
s.400
Answer: C
Question: How many arrangements of the letters of the word ORANGES can be made, without changing the place of the vowels in the word?
Choices:
29
24
28
30
Answer: B
Question: A single discount % equal to three successive discounts of 30%, 20% and 10%.
Choices:
49.5
49.3
49.6
49.1
Answer: C
Question: 4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women working together finish it ?
Choices:
40 days
50 days
60 days
70 days
Answer: A
Question: A cube is divided into 64 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colour?
Choices:
16
20
24
30
Answer: C
Question: In a college the ratio of the numbers of boys to the girls is 5:7. If there are 140 girls, the total number of students in the college is?
Choices:
240
160
250
310
Answer: A
Question: 32 meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area?
Choices:
2√5
5
4√2
8
Answer: D
Question: A train is moving at a speed of 132 km/hr. If the length of the train is 200 meters, how long will it take to cross a railway platform 240 meters long
Choices:
7 ½ sec
12 sec
8 ½ sec
9 sec
Answer: B
Question: It takes 2 workers a total of 12 hours to build a giant machine with each worker working at the same rate. If 3 workers start to build the machine at 11:00 AM, and one extra worker per hour is added beginning at 2:00 PM, at what time will the machine be complete?
Choices:
4:45
5:00
5:15
5:30
Answer: B
Question: Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?
Choices:
776
288
268
198
Answer: A
Question: The distance between West-Town to East-Town is 10 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 4 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?
Choices:
8.
10.
12.
15.
Answer: A
Question: A vessel of capacity 2 litre has 16% of alcohol and another vessel of capacity 6 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
Choices:
71%.
49%.
27.2%.
51%.
Answer: C
Question: 5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio
Choices:
1:3
2:1
2:3
None of these
Answer: B
Question: A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
Choices:
3:4
3:1
3:2
3:9
Answer: A
Question: A group of ants, each 1/3 centimeters in length, crosses a sidewalk in single file, each right behind the next, at a speed of 30 cm/min. If the sidewalk is 1.5 meters wide, how long does it take for 30 ants to all make it across?
Choices:
3 min
4 min
5 min
6 min
Answer: D
Question: In a certain match all the teams were to play with each other. If there are 7 teams, how many matches will have to be played?
Choices:
21
24
25
None of the above
Answer: A
Question: How many possible integer values are there for x if |5x - 3| < 6 ?
Choices:
Two
Three
Four
Five
Answer: A
Question: The number 523dbc is divisible by 7,8,9. Then what is the value of d*b*c
Choices:
532
210
180
280
Answer: C
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
Choices:
3527
2500
2567
2571
Answer: B
Question: A company D has 15 percent of the employees are secretaries and 45 percent are salespeople. If there are 50 other employees of Company D, how many employees does Company D have?
Choices:
125
180
152
250
Answer: A
Question: If m is a positive integer and m^2 is divisible by 33, then the largest positive integer that must divide m is?
Choices:
6
8
11
16
Answer: C
Question: In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?
Choices:
80
120
150
100
Answer: D
Question: In what ratio should a mixture of milk and water in the ratio of 3:4 be mixed with another mixture of milk and water in the ratio 5:2 so that the resultant mixture contains equal quantities of milk and water?
Choices:
3:1
7:8
7:9
9:11
Answer: A
Question: A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2hours30minutes to cover a distance of 5km upstream. find the speed of the river current in km/hr.
Choices:
1 km/hr
3 km/hr
4 km/hr
5 km/hr
Answer: A
Question: Two numbers are respectively 17% and 30% more than a third number. The percentage that is first of the second is?
Choices:
80%
85%
70%
90%
Answer: D
Question: In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1:2:3. If there are Rs. 30 in all, how many 5 p coins are there?
Choices:
167
150
717
154
Answer: B
Question: In one hour, a boat goes 8 km/hr along the stream and 2 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
4 km/hr
5 km/hr
6 km/hr
8 km/hr
Answer: B
Question: Find the value of b from (15)^2 x 9^2 Ã· 356 = b.
Choices:
52.2
51.2
8.2
54.2
Answer: B
Question: In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 4:3:2. If there are in all Rs.42, the number of one rupee coins is?
Choices:
26
18
16
24
Answer: C
Question: A sum of money is divided among A, B, C & D in the ratio 3:5:8:9 respectively. If the share of D Rs.1872 more than the share of A, then what is the total amount of money of B & C together?
Choices:
Rs. 4056
5000
5400
5600
Answer: A
Question: The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
Choices:
186
150
179
172
Answer: B
Question: Which of the following is divisible by the first ten positive integer multiples of 11?
(i) 18810
(ii) 263640
(iii) 3011010
Choices:
None
i and ii only
i and iii only
ii and iii only
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 70 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad?
Choices:
42
20
24
30
Answer: A
Question: A train 100 meters long completely crosses a 300 meters long bridge in 15 seconds. What is the speed of the train is?
Choices:
96 kmph
34 kmph
43 kmph
40 kmph
Answer: A
Question: The value of x + x(xx) when x = 6 is:
Choices:
10
12
14
222
Answer: D
Question: Dan's age after 16 years will be 6 times his age 4 years ago. What is the present age of Dan?
Choices:
8
12
14
16
Answer: A
Question: If e = 20! + 17, then e is divisible by which of the following?
I. 15
II. 17
III. 19
Choices:
I only
II only
I and II
II and II
Answer: B
Question: A man can row 7.8 kmph in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of stream.
Choices:
2.6 km/hr
1 2.6 km/hr
22.5 km/hr
22.6 km/hr
Answer: A
Question: What is the value of (P + Q)/(P - Q) if P/Q is 5?
Choices:
3/2
2/6
7/8
8/7
Answer: A
Question: If population of certain city increases at the rate of 5%. If population in 1981 was 324135, then population in 1978 was?
Choices:
228788
280000
267689
127791
Answer: B
Question: The value of (0.137+0.098)²-(0.137 - 0.098)² / 0.137×0.098 is
Choices:
0.235
0.25
4
5
Answer: C
Question: Joe has candys on his pocket, 4 of those candies have lemon flavor, and 3 have caramel flavor. If Joe take one, what is the probability that he picks one caramel flavor?
Choices:
2
none
3/7
3/4
Answer: C
Question: ♠n denotes the number obtained when n is rounded to the nearest tenth. For example ♠4.31 = 4.3
♠0.089 - ♠1.235 =
Choices:
1.04
-1.05
-1.0
-1.1
Answer: D
Question: Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
Choices:
400
277
686
120
Answer: A
Question: It takes Joey the postman 1 hours to run a 3 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 6 mile/hour, what is the speed with which Joey returns?
Choices:
12
13
14
18
Answer: D
Question: My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 140 years. Can you tell me my age in years?
Choices:
90
85
84
89
Answer: C
Question: A man buys an article for $100. and sells it for $110. Find the gain percent?
Choices:
10%
25%
20%
30%
Answer: A
Question: A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is :
Choices:
55.15 km/hr
70.15 km/hr
71.11 km/hr
None
Answer: C
Question: Ram, who is half as efficient as Krish, will take 18 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?
Choices:
12 days
8 days
6 days
18 days
Answer: C
Question: If x is a positive odd number, then each of the following is odd EXCEPT
Choices:
x^2 + 5
x^2 + 6x + 9
3x^2 + 4
5(x + 3)
Answer: A
Question: A man gave 1/8 of his property to his wife and 1/4 of the remaining to his daughter. What fraction of his property is he left with after giving to his wife and his daughter?
Choices:
2/8
21/32
4/8
12/15
Answer: B
Question: The average of 4,8,12 and x is 10. Find the value of x?
Choices:
16
15
24
12
Answer: A
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choices:
8
6
4
2
Answer: A
Question: Two pumps are connected to an empty tank. Pump X fills the tank with water at a constant rate, while pump Y drains water out of the tank at a constant rate. The two pumps finish filling the tank in four times the duration it would take pump X alone to fill the tank. If pump Y alone can empty a whole tank in 44 minutes, then how many minutes does it take pump X alone to fill the tank?
Choices:
30
33
36
39
Answer: B
Question: 12.1212+17.0005 - 9.1105 = ?
Choices:
20.0105
20.0115
20.1015
20.0112
Answer: D
Question: If a and b are nonzero integers such that 4a = 10b, then each of the following must be true EXCEPT
Choices:
ab is positive.
On the number line, b lies between 0 and a.
The ratio of a to b is equivalent to 10/4.
a – b is positive.
Answer: D
Question: Cars emerging from a motorway arrive at a junction that splits the road into two separate lanes. The number of cars per hour that continue in either lane is constant. If 7 cars per hour were diverted from the left lane to the right lane, the number of cars entering the right lane per hour would be twice as big as the number of cars entering the left lane per hour. Alternatively, if 7 cars per hour were diverted from the right lane to the left lane, the number of cars entering the left lane per hour would be four times as great as the number of cars entering the right lane per hour. How many cars enter the left lane per hour?
Choices:
18
17
19
28
Answer: B
Question: Find the unit's digit from the given 264^102+264^103?
Choices:
0
2
3
4
Answer: A
Question: On the first of the year, James invested x dollars at Proudstar bank in an account that yields 2.2% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
Choices:
6.12%
8%
8.25%
9%
Answer: D
Question: Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choices:
2
9
5
4
Answer: A
Question: How long does a train 110 m long traveling at 90 kmph takes to cross a bridge of 170 m in length?
Choices:
16.0
16.4
16.8
11.2
Answer: D
Question: Anand and Deepak started a business investing Rs. 27,500 and Rs. 33,000 respectively. Out of a total profit of Rs. 15,000, Deepak's share is?
Choices:
Rs. 8181.81
Rs. 8400
Rs. 3400
Rs. 8440
Answer: A
Question: At a dinner party, 4 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?
Choices:
6
24
32
120
Answer: A
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Choices:
23
56
79.2
67
Answer: C
Question: A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
Choices:
6 litres, 6 litres
5 litres, 7 litres
7 litres, 4 litres
None
Answer: A
Question: what is the units digit of the expression 17^7-2?
Choices:
1
3
7
9
Answer: A
Question: Which of the following points falls outside of the region defined by 2y≤6x−17?
Choices:
(3, -8)
(2, 0)
(1, -2)
(0, -14)
Answer: C
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Choices:
342
250
362
879
Answer: A
Question: How many Books each of Volume 100 meter cube can be packed into a crate of volume 4000 meter cube?
Choices:
120
cannot be determined
180
200
Answer: B
Question: 5years ago, the age of Anand was one-forth of the age of Bala at that time. The present age of Bala is 13 years more than the present age of Anand. Find the present age of Anand?
Choices:
21
19
22
14
Answer: B
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 8 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
15/7 hours
80/13 hours
30/13 hours
30/43 hours
Answer: A
Question: Simple interest on a sum at 2% per annum for 2 years is Rs.100. The C.I. on the same sum for the same period is?
Choices:
101.8
101.2
100
110.2
Answer: A
Question: Which of the following expressions CAN be equal to 0 when x^2 −16= 0 ?
Choices:
x^2 − 4x + 3
x^2 − x − 2
x^2 − 7x + 6
x^2 − 5x + 4
Answer: D
Question: If 100% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 125% of l is equal to 75% of m, then 20% of m is equal to what percent of 200% of j ?
Choices:
3.5
350
35
3500
Answer: B
Question: W and B are integers. The expression (W+1)(B+1) is even. What can be said about W and B?
Choices:
At least one of them is even.
At least one of them is odd.
They are both odd.
Nothing can be said surly on W and B
Answer: B
Question: Two friends want to buy a snack. They combine their money and find they have $4.15, consisting of quarters, dimes, and nickels. If they have 37 coins and the number of quarters is half the number of nickels, how many quarters do they have?
Choices:
9
11
12
13
Answer: A
Question: Bobby bought 2 shares, and which he sold for $96 each. If he had a profit of 25% on the sale of one of the shares but a loss of 28% on the sale of the other share, then on the sale of both shares Bobby had...
Choices:
a profit of 8
a loss of 8
a loss of 18
neither a profit nor a loss
Answer: C
Question: Average monthly income of a family of 4 earning members was Rs. 735. One of the earning members died and therefore, the average income came down to Rs 590. The income of the deceased was?
Choices:
Rs. 820
Rs. 1170
Rs. 1385
None
Answer: B
Question: There are 14 cans in the refrigerator. 7 of them are red and 7 of them are blue. In how many ways we can remove 8 cans so that at least one red and at least one blue cans to remain the refrigerator.
Choices:
490
493
455
445
Answer: B
Question: At a restaurant, glasses are stored in two different-sized boxes. One box contains 12 glasses, and the other contains 16 glasses. If the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses W at the restaurant? (Assume that all boxes are filled to capacity.)
Choices:
240
W=256
W=384
W=480
Answer: D
Question: The pilot of a small aircraft with a 40-gallon fuel tank wants to fly to Cleveland, which is 480 miles away. The pilot recognizes that the current engine, which can fly only 7 miles per gallon, will not get him there. By how many miles per gallon must the aircraft’s fuel efficiency be improved to make the flight to Cleveland possible?
Choices:
4
5
40
160
Answer: B
Question: John has taken four (4) tests that have an average of 85. In order to bring his course grade up to a ‘B’, he will need to have a final average of 89. What will he need to average on his final two tests to achieve this grade?
Choices:
90
92
97
98
Answer: C
Question: If the price of an article went up by 25%, then by what percent should it be brought down to bring it back to its original price?
Choices:
20%
16 7/3%
16 6/3%
16 2/3%
Answer: A
Question: A paint crew gets a rush order to paint 80 houses in a new development. They paint the first y houses at a rate of x houses per week. Realizing that they'll be late at this rate, they bring in some more painters and paint the rest of the houses at the rate of 1.25x houses per week. The total time Q it takes them to paint all the houses under this scenario is what fraction of the time it would have taken if they had painted all the houses at their original rate of x houses per week?
Choices:
0.8 + 0.0025y
80/y – 1.25
80/1.25y
80 – 0.25y
Answer: A
Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
38
37
90
28
Answer: C
Question: The length of a room is 9 m and width is 4.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 900 per sq. metre.
Choices:
25750
26550
30750
38475
Answer: D
Question: The average runs scored by a batsman in 22 matches is 28. In the next 13 matches the batsman scored an average of 15 runs. Find his average in all the 35 matches?
Choices:
25.12
36.25
23.17
27.66
Answer: C
Question: Praveen starts business with Rs.3920 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital?
Choices:
s.10080
s.8500
s.9000
s.6000
Answer: A
Question: A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 12 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
Choices:
1,320
545
315
220
Answer: D
Question: Which one of the following numbers is completely divisible by 45?
Choices:
202860
1254186
2534164
8756241
Answer: A
Question: How many digits are required to number a book containing 300 pages?
Choices:
792
492
372
340
Answer: A
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a trolley that is running with a speed of 12 km/hr in the direction opposite to that in which the train is going?
Choices:
6.75
7.92
5.5
6.5
Answer: C
Question: Two trains of length 100 m and 220 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
70 sec
21 sec
20 sec
16 sec
Answer: D
Question: A football field is 9600 square yards. If 800 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?
Choices:
600
750
2400
300
Answer: D
Question: What is the least number which when divided by 12,21,35 will leave in each case the same reminder 6?
Choices:
420
414
426
454
Answer: C
Question: (x + 3) is a factor in x^2 - mx - 15. What is the value of m?
Choices:
2
3
4
5
Answer: A
Question: If each digit in the set of A = (2,3,4,5) is exactly used once, in how many ways can the digits be arranged such that the 3 and 4 are not adjacent?
Choices:
12
18
22
24
Answer: A
Question: Mary’s annual income is $15,000 and John’s annual income is $18,000. By how much must Mary’s annual income increase so that it constitutes 60% of Mary and John’s combined income?
Choices:
$4,000
$7,000
$12,000
$25,000
Answer: C
Question: The manager at a health foods store mixes a unique superfruit juice cocktail that costs $1399.45 per litre to make. The cocktail includes mixed fruit juice and açai berry juice, which cost $262.85 per litre and $3104.35 per litre, respectively. The manager has already opened 36 litres of the mixed fruit juice. How many litres of the açai berry juice does he need to add?
Choices:
24 litres
11 litres
07 litres
38 litres
Answer: A
Question: The diagonals of two squares are in the ratio of 2 : 5. Find the ratio of their areas.
Choices:
5:25
4:25
3:15
3:20
Answer: B
Question: A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 200 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
Choices:
2765
6110
2989
9772
Answer: B
Question: The labeled price of a table is Rs. 7,500. The shopkeeper sold it by giving 5% discount on the labeled price and earned a profit of 15%. What approximately is the cost price of the table?
Choices:
Rs. 6195
Rs. 6425
Rs. 7200
None of these
Answer: A
Question: A bag contains 6black pens and 8 white pens. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
4/7
5/8
1/4
4/9
Answer: A
Question: In covering a distance of 30 km, Arun takes 2 hours more than Anil. If Arun doubles his speed, then he would take 1 hour less than Anil. What is Arun's speed?
Choices:
5
6
7
8
Answer: A
Question: What is the sum of all 3 digit positive integers that can be formed using the digits 1, 5, and 8, if the digits are allowed to repeat within a number?
Choices:
1386
3108
308
thirteen thousand nine hundred and eighty six (13986)
Answer: D
Question: A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 8.30 a.m. ?
Choices:
2
9
2
8
Answer: A
Question: x and y are positive integers. When x is divided by 6, the remainder is 3, and when x is divided by 16, the remainder is 5. When y is divided by 9, the remainder is 5, and when y is divided by 7, the remainder is 4. What is the least possible value of x / y?
Choices:
3
2
1.3
1.5
Answer: D
Question: Rahul can do a work in 3 days while Rajesh can do the same work in 2days. Both of them finish the work together and get $2250. What is the share of Rahul?
Choices:
$40
$60
$100
$900
Answer: D
Question: Working alone, pump A can empty a pool in 6 hours. Working alone, pump B can empty the same pool in 9 hours. Working together, how many minutes will it take pump A and pump B to empty the pool?
Choices:
200
208
216
224
Answer: C
Question: How many ways can the letters of the word, ‘MACHINE’ be arranged so that the vowels may occupy only the odd positions?
Choices:
576
144
456
356
Answer: A
Question: A runs twice as fast as B and gives B a start of 83m.How long should the racecourse be so that A and B might reach in the same time?
Choices:
80 m.
150 m.
100 m.
None of the above
Answer: D
Question: What is the square root of 5,625?
Choices:
B)75
C)45
D)62
E)81
Answer: A
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Choices:
44
48
47
50
Answer: A
Question: From among the 38 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
Choices:
1260
1060
1160
1406
Answer: D
Question: The H.C.F. of two numbers is 40 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is:
Choices:
600
699
722
745
Answer: A
Question: A bus trip of 450 miles would have taken 1 hour less if the average speed S for the trip had been greater by 5 miles per hour. What was the average speed S, in miles per hour, for the trip?
Choices:
40
45
50
55
Answer: B
Question: If k is an integer and 0.00010101 x 10^k is greater than 1000, what is the least possible value of k?
Choices:
7
8
9
10
Answer: A
Question: If 7/w + 7/x = 7/y and wx = y, then the average (arithmetic mean) of w and x is
Choices:
1/2
2
4
8
Answer: A
Question: #88
A necklace is made by stringing N individual beads together in the repeating pattern red bead, ORANGE bead, white bead, blue bead, and yellow bead. If the necklace design begins with a red bead and ends with a white bead, then N could equal
Choices:
32
41
48
64
Answer: C
Question: There are between 120 and 130 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
Choices:
123
125
127
129
Answer: B
Question: An automobile manufacturer offers a station wagon with either a 16-cylinder engine or a 14-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 16-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?
Choices:
192
64
56
44
Answer: A
Question: In an IT company, there are a total of 90 employees including 50 programmers. The number of male employees is 80, including 35 male programmers. How many employees must be selected to guaranty that we have 3 programmers of the same sex?
Choices:
45
55
35
65
Answer: A
Question: If x is an integer, and 144 < x^2 <= 361, which of the following is the sum of all possible values of x?
Choices:
124
116
None of the above
105
Answer: C
Question: The number of singles that a baseball player hit increased 15 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 5 percent. If the total number of singles and doubles that she hit increased 4 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season?
Choices:
5:7
7:11
9:11
11:15
Answer: C
Question: How many ways are there to split a group of 4 boys into two groups of 2 boys each? (The order of the groups does not matter)
Choices:
6
7
3
8
Answer: C
Question: Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Choices:
Rs.519
Rs.520
Rs.540
Rs.529
Answer: C
Question: In a 1400 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
Choices:
70 sec
25 sec
Data not sufficient
None of these
Answer: A
Question: A room contains 140 people, 15 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
Choices:
35
40
60
80
Answer: A
Question: Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 5 percent during the second year, and decreased by 5 percent during the third year. What is the value of the account today?
Choices:
$10,972.50
$10,500
$11,500
$12,705
Answer: A
Question: What is the greatest possible length which can be used to measure exactly the lengths 8 m, 4 m 20 cm and 12 m 20 cm?
Choices:
30 cm
25 cm
20 cm
35 cm
Answer: C
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is
Choices:
17/24
17/23
17/20
17/21
Answer: C
Question: Aishwarya’s mom was 42 years of age at the time of her birth, while her mom was 32 years old when her 4 years younger sister was born. The variance between the parents ages is :
Choices:
14 years
10years
9 years
4 years
Answer: A
Question: If x = a!, which of these following values of a is the least possible value (in this list) for which the last 7 digits of the integer x will all be zero?
Choices:
32
36
40
44
Answer: A
Question: By selling 80 bananas, a fruit-seller gains the selling price of 10 bananas. Find the gain percent?
Choices:
17.46%
15.55%
14.28%
56.25%
Answer: C
Question: In a simultaneous throw of two dice , what is the probability of getting to total of 10 or 11?
Choices:
9/8
4/11
5/36
7/52
Answer: C
Question: On a certain date, Pat invested $9,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 10 years will be $36,000, in how many years total will the total value of the investment plus interest increase to $72,000?
Choices:
15
18
20
24
Answer: A
Question: A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability W that the sum of the three numbers on the balls selected from the box will be odd?
Choices:
3/8
1/2
5/8
3/4
Answer: B
Question: Find the odd man out
2, 3, 12, 37, 86, 166, 288
Choices:
3
86
116
126
Answer: C
Question: A worker earns $24 on the first day and spends $18 on the second day. The worker earns $24 on the third day and spends $18 on the fourth day. If this pattern continues, on which day will the worker first reach a net total of $48?
Choices:
7
9
12
16
Answer: B
Question: Two trains leave the same train station at 6:00 am and 6:45 am and they travel at 100 kph and 120 kph respectively. How many kilometers from the train station will the two trains be together?
Choices:
450
480
510
540
Answer: A
Question: A small pool filled only with water will require an additional 700 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 700 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?
Choices:
1250
1300
1600
2125
Answer: D
Question: If b is a positive integer, which of the following could NOT be the square of b?
Choices:
9436
4726
6445
1432
Answer: D
Question: A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of plain cookies ($0.75 each). Altogether, she sold 1,585 boxes for a combined value of $1,587.75. How many boxes of plain cookies did she sell?
Choices:
233
500
695
787
Answer: D
Question: A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is
Choices:
4:3
2:3
2:1
3:1
Answer: A
Question: The owner of a cell phone shop charges his customer 23% more than the cost price. If a customer paid Rs.6,040 for a cell phone, then what was the cost price of the cell phone?
Choices:
Rs.6,750
Rs.5,700
Rs.4,910
None of these
Answer: C
Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Choices:
18
40
37
25
Answer: B
Question: A bag contains 50p, 25p and 10p coins in the ratio 3 : 7 : 4, amounting to Rs. 109.50. Find the number of coins of each type.
Choices:
75,220,135
90,210,120
80,210,120
None of these
Answer: B
Question: 30 square stone slabs of equal size were needed to cover a floor area of 58.8 sq.m. Find the length of each stone slab?
Choices:
140cm
88cm
666cm
776cm
Answer: A
Question: What is the greatest 5-digit number when divided by 9 and 10 leaves a remainder of 7 and 9 respectively?
Choices:
78910
97479
97918
97929
Answer: D
Question: A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Choices:
6 min
7 min
9 min
1 min
Answer: A
Question: A certain stock exchange designates each stock with a two-letter or three-letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes without using the vowels A, E, I, O, or U?
Choices:
9482
9592
9702
9812
Answer: C
Question: What is the least number of square tiles required to pave the floor of a room 10 m 17 cm long and 9m 9 cm broad?
Choices:
804
11413
844
None
Answer: B
Question: In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?
Choices:
9 balls.
10 balls.
7 balls.
6 balls.
Answer: D
Question: Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
88
77
99
75
Answer: D
Question: The average (arithmetic mean) of four numbers is 4x + 2. If one of the numbers is x, what is the average of the other three numbers?
Choices:
3x + 3
5x + 1
5x + 8/3
15x + 12
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Choices:
33/91
33/90
33/99
83/98
Answer: A
Question: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 600 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution?
Choices:
1.74%
10%
15%
19%
Answer: A
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 8 students is 14 years and that of the other 6 students is 16 years, The age of the 15th student is
Choices:
17
13
14
15
Answer: A
Question: Working together at their respective constant rates, Machine A and Machine B can produce 1,600 units in 8 hours. Working alone, Machine B would complete that same output in 50% more time. If Machine A were to work on its own for an 8-hour shift, what percent of the 1,600 unit total would it produce?
Choices:
33
50
67
75
Answer: A
Question: Three bells chime at intervals of 18 min., 24 min. and 32 min. respectively. At a certain time they begin together. What length D of time will elapse before they chime together again?
Choices:
4 hr. and 48 min.
1 hr. and 36 min.
5 hr.
2 hr.
Answer: A
Question: A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Choices:
Rs.47
Rs.44
Rs.28
Rs.28
Answer: B
Question: Peter takes a loan of $100,000 with 12% annual interest: the interest is paid once, at the end of the year. Martha takes a loan of $100,000 with 12% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Peter's loan interest, approximately how much more does Martha have to repay?
Choices:
Zero
$6825.00
$6.82
$682.50
Answer: D
Question: What is the remainder when 1041*1047*1050*1053 is divided by 33?
Choices:
27
30
21
18
Answer: C
Question: Find the number of ways you can fill a 3 x 3 grid (with 4 corners defined as a, b, c, d), if you
have 3 white marbles and 6 black marbles
Choices:
9c3
9c4
8c3
7c3
Answer: A
Question: On dividing 14698 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor?
Choices:
154
852
741
165
Answer: D
Question: The binary equivalent of 5.375 is
Choices:
101.011
101011
None of above
Cannot be determined
Answer: A
Question: In how many ways 4 boys and 3 girls can be seated in a row so that they are alternative?
Choices:
144
160
210
180
Answer: A
Question: Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?
Choices:
+ 5x + 2 = 0
- 5x + 2 = 0
- 5x - 2 = 0
of these
Answer: A
Question: To mail a package, the rate is 10 cents for the first pound and 5 cents for each additional pound. Two packages weighing 3 pounds and 5 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?
Choices:
Combined, with a saving of 5 cents
Separately, with a saving of 2 cents
Separately, with a saving of 4 cents
Combined, with a saving of 10 cents
Answer: A
Question: Laura has a deck of standard playing cards with 11 of the 55 cards designated as aheart.If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?
Choices:
1/5
5/26
12/42
13/42
Answer: A
Question: Out of 5 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is
Choices:
1/10
20/21
11/21
2/21
Answer: A
Question: A dishonest person wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing 33 $ per litre so as to make a profit of 40% on cost when he sells the resulting milk and water mixture for 36$. In what ratio should he mix the water and milk?
Choices:
1:10
17:8
17:4
17:60
Answer: D
Question: A can do a piece of work in 10 days; B can do the same in 20 days. How many days will it take the work to get finished if A and B work together?
Choices:
5.32
6.66
7.52
8.02
Answer: B