antoine-444/aqua_rat_dataset huggingface dataset:
Question: A can finish a work in 24 days, B n 9 days and C in 12 days. B&C start the
work but are forced to leave after 3 days. The remaining work done by A in:
Choices:
12
10
16
18
Answer: B
Question: A boy writes all the numbers from 100 to 999. The number of zeroes that he uses is 'a', the number of 5's that he uses is 'b' and the number of 8's he uses is 'c'.
What is the value of b+c−a?
Choices:
380
180
80
90
Answer: A
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Choices:
2778
279
450
278
Answer: C
Question: How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 720 meters in length?
Choices:
27
55
59
12
Answer: C
Question: Which number should replace both the asterisks in (* /18) x (*/162) = 1 ?
Choices:
36
54
72
90
Answer: B
Question: If 3<x<6<y<11, then what is the greatest possible positive integer difference of x and y?
Choices:
4
5
6
7
Answer: D
Question: Of all the homes on Gotham Street, 2/3 are termite-ridden, and 1/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
Choices:
b) 8/15
c) 4/5
d) 2/5
e)1/5
Answer: A
Question: How many of the following numbers are divisible by 3 but not by 9?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
Choices:
6
7
8
9
Answer: A
Question: How many W ways are there of placing 6 marbles in 4 bowls, if any number of them can be placed in each bowl?
Choices:
6P4
4^6
6^4
6!
Answer: B
Question: A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
Choices:
12800
28892
26702
27902
Answer: A
Question: A 15% stock yielding 12% is quoted at:
Choices:
s. 110
s. 112
s. 125
s. 140
Answer: C
Question: A group of n students can be divided into equal groups of 3 with 1 student left over or equal groups of 6 with 1 students left over. What is the sum of the two smallest possible values of n?
Choices:
46
49
53
86
Answer: D
Question: A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 14% microphotonics; 24% home electronics; 15% food additives; 19% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
Choices:
10°
18°
36°
72°
Answer: D
Question: How much water must be added to 64 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
Choices:
16 litres
15 litres
18 litres
None of these
Answer: A
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
71
54
77
99
Answer: B
Question: If 2x + y = 7 and x + 2y = 5, then 5xy/3 =?
Choices:
A) 5
C) 17/5
D) 18/5
E) 4
Answer: A
Question: The difference between a number and its two-fifth is 510. What is 50% of that number?
Choices:
425
427
428
429
Answer: A
Question: A soccer coach is preparing his starting lineup of 11 players chosen from 15 players. He considers 8 of his players good at defense and 7 of his players good at offense. If he wants to pick 6 players best at defense and 5 players best at offense, how many different ways can he do this?
Choices:
328
460
588
642
Answer: C
Question: A certain company has budgeted $1380 for entertainment expenses for the year, divided into 12 equal monthly allocations. If by the end of the third month, the total amount spent on entertainment was $250, how much was the company under budget or over budget?
Choices:
$95 under budget
$35 over budget
$95 over budget
$125 over budget
Answer: A
Question: The average mark of a class of twenty two students is 65. If four students whose marks are 25, 32,28 and 34 are removed , then find the approximate average mark of the remaining students of the class.
Choices:
73
57
70
80
Answer: A
Question: A factory produces 6000 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Choices:
1500 toys
6113 toys
2354 toys
1375 toys
Answer: A
Question: In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 88,000, how many purple chips were selected?
Choices:
2
3
4
5
Answer: A
Question: Of the 400 members at a health club, 260 use the weight room and 300 use the pool. If at least 80 of the members do not use either, then the number of members using both the weight room and the pool must be between:
Choices:
240 to 280
230 to 260
240 to 260
200 to 260
Answer: C
Question: From a bunch of six keys, three particular keys have to be used to open a combination lock, such that the second key can be used only after the first key and the third key can be used only after the second key. What are the chances of opening the lock in a random selection of three keys?
Choices:
1/30
1/60
1/80
1/120
Answer: D
Question: What is the smallest integer k for which 64^k > 4^19?
Choices:
5
6
7
8
Answer: C
Question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Choices:
20 cm
30 cm
40 cm
45 cm
Answer: A
Question: There are 18 balls in a jar. You take out 3 black balls without putting them back inside, and now the probability of pulling out a black ball is 1/3. How many blue balls were there in the beginning?
Choices:
9.
8.
7.
6.
Answer: B
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Choices:
18:11
14:11
18:67
18:12
Answer: A
Question: If each term in the sum Q=a1+a2+a3+...+an either 2 or 22 and the sum equals 100, which of the following could be equal to n?
Choices:
39
40
41
42
Answer: B
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choices:
88
27
10
88
Answer: C
Question: There are 89 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. How many total snakes are there?
Choices:
4
8
59
32
Answer: C
Question: The area of sector of a circle whose radius is 15 metro and whose angle at the center is 42Â° is?
Choices:
52.9
52.8
52.1
82.5
Answer: D
Question: The expression 10^14−100 is divisible by all of the following integers EXCEPT
Choices:
3
4
8
7
Answer: D
Question: David is able to sell a hand-carved statue for $1150 which was a 15% profit over his cost. How much did the statue originally cost him?
Choices:
$512.40
$1000
$574.90
$588.20
Answer: B
Question: A certain school implemented a reading program for its students, with the goal of getting each student to read 7 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year?
Choices:
cs/2
84cs
(2cs)/12
(24c)/s
Answer: B
Question: A sum of money place at compound interest doubles itself in 6 years. In how many years will it amount to eight times itself?
Choices:
12
18
24
30
Answer: B
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
7
1
Answer: A
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Choices:
8127
8618
8112
8128
Answer: C
Question: There are 6 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes
Choices:
1/3
1/2
1/5
1/6
Answer: A
Question: If 5^y+ 6^(y) = 61, which of the following is the value of y?
Choices:
1
3
4
2
Answer: D
Question: 7 teams compete in a track competition. If there are 17 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?
Choices:
4
5
6
7
Answer: C
Question: In a class of 20 students, 2 students did not borrow any books from the library, 8 students each borrowed 1 book, 5 students each borrowed 2 books, and the rest of the students each borrowed at least 3 books. If the average (arithmetic mean) number of books borrowed per student was 2, what is the maximum number of books that any single student could have borrowed ?
Choices:
5
10
13
15
Answer: B
Question: A certain basketball team that has played 2/3 of its games has a record of 18 wins and 2 losses. What is the greatest number of the remaining games that the team can lose and still win at least 3/4 of all of its games?
Choices:
6
5
4
3
Answer: B
Question: A ferry can transport 100 tons of vehicles. Automobiles range in weight from 1,600 to 3,000 pounds. What is the greatest number of automobiles that can be loaded onto the ferry?
Choices:
128
115
130
120
Answer: D
Question: A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many L cubes are painted on only 2 faces?
Choices:
12
6
10
16
Answer: A
Question: A computer program assigns consecutive numbers to the days of the week. Sunday is 1, Monday is 2, ..... and Saturday is 7. Every day, the computer program calculates the value of parameter D according to the following definition: D is the number of the day times the value of D on the previous day. If the computer calculated D to be 8 on Wednesday, what would be the value of D calculated on the following Saturday?
Choices:
1680
2250
2400
3260
Answer: A
Question: Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 100kmph, find the rate at which the train B runs.
Choices:
60
120
80
150
Answer: D
Question: If the average marks of three batches of 55, 60 and 45 students respectively is 30, 55, 60, then the average marks of all the students is:
Choices:
54.68
55
47.81
None of these
Answer: C
Question: Machine A takes 100 hours to complete a certain job and starts that job at 7AM. After two hour of working alone, machine A is joined by machine B and together they complete the job at 6PM. How long would it have taken machine B to complete the jobif it had worked alone for the entire job?
Choices:
10.11
11.1
44.11
1.01
Answer: A
Question: An amount of Rs. 3000 becomes Rs. 3600 in four years at simple interest. If the rate of interest was 1% more, then what was be the total amount?
Choices:
Rs.3729
Rs.3720
Rs.3778
Rs.3992
Answer: B
Question: Find the area of circle whose radius is 7m?
Choices:
154
177
288
298
Answer: A
Question: A certain board game has a row of squares numbered 1 to 100. If a game piece is placed on a random square and then moved 5 consecutive spaces in a random direction, what is the probability the piece ends no more than 5 spaces from the square numbered 49?
Choices:
8%
11%
12%
13%
Answer: B
Question: There are 8 women and 7 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
Choices:
450
362
476
588
Answer: D
Question: The average marks of 30 students are 45 but after checking there are two mistakes found. After adjustment if a student got 45 more markes and other student got 15 less marks, then What will be the adjusted average?
Choices:
44
47
46
None of these
Answer: A
Question: Suppose there are 4 books on fairy tales, 5 novels and 3 plays. They have to be arranged so that the books on fairy tales are together, novels are together and plays are together, but we no longer require that they should be in a specific order. In how many ways can this be done?
Choices:
103680
125569
136690
None
Answer: A
Question: If five machines working at the same rate can do 3/4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3/5 of the job?
Choices:
60
75
80
100
Answer: A
Question: In two alloys, copper and tin are related in the ratios of 4:1 and 1:3. 10kg of Ist alloy, 16 kg of 2nd alloy and some pure copper melted together. An alloy obtained in which the ratio of copper and tin was 3:2. Find the weight of the new alloy.
Choices:
35kg
36kg
30kg
32kg
Answer: A
Question: The least common multiple of positive integer f and 3-digit integer n is 690. If n is not divisible by 3 and f is not divisible by 2, what is the value of n?
Choices:
230
460
575
690
Answer: A
Question: x/2y = 2a,then 2x/x-2ay=?
Choices:
4
16
2
6
Answer: A
Question: Which no. need to add to 859622 to get a no. exactly divisible by 456?
Choices:
674645
566578
465766
859622
Answer: D
Question: If population of certain city increases at the rate of 5%. If population in 1981 was 231525, then population in 1978 was?
Choices:
228788
266891
267689
200000
Answer: D
Question: In how many different ways can 5 identical blue pants and 5 identical red pants be shared among 10 children such that each child receives a pant?
Choices:
4628800
2628800
3628800
1628800
Answer: C
Question: During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 20 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip?
Choices:
50%
x/12%
60/x%
400/x%
Answer: D
Question: Every student in a room is either a junior or a senior. There is at least one junior and at least one senior in the room. If 1/3 of the juniors is equal to 4/3 of the seniors, what fraction of the students in the room are juniors?
Choices:
1/3
5/2
2/7
4/5
Answer: D
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is
Choices:
Rs. 500
Rs. 550
Rs. 600
None
Answer: A
Question: k = 2^n + 3, where n is an integer greater than 1. If k is divisible by 9, which of the following MUST be divisible by 9?
Choices:
2^n - 6
2^n
2^n + 4
2^n + 5
Answer: A
Question: If a new town has 100 residents, and the population doubles every 10 years, what will be its population after 75 years?
Choices:
9051 residents
12068 residents
15075 residents
18102 residents
Answer: D
Question: The average (arithmetic mean) of 4 positive integers is 50. If the average of 2 of these integers is 35, what is the greatest possible value that one of the other 2 integers can have?
Choices:
65
100
109
129
Answer: D
Question: A rectangular floor measures 2 by 3 meters. There are 5 white, 5 black, and 5 red parquet blocks available. Each block measures 1 by 1 meter. In how many different colors h patterns can be floor be parqueted?
Choices:
213
3^5
705
726
Answer: D
Question: For a group of n people, k of whom are of the same sex, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 20 people, 5 of whom are females, by how much does the index for the females exceed the index for the males in the group?
Choices:
0.0625
0.5
0.25
0.6
Answer: B
Question: 10 men working 6 hrs per day manufacture 200 shoes in 18 days. How many hours a day must 15 men work to manufacture the same 200 shoes in 12 days?
Choices:
6
12
15
17
Answer: A
Question: A bullet train 200 m long is running with a speed of 69 kmph. In what time will it pass a man who is running at 3 kmph in the direction opposite to that in which the bullet train is going?
Choices:
10 sec
12 sec
11 sec
16 sec
Answer: A
Question: A box contains four silver coins, of which two coins have heads on both their faces, one coin has tail on both its faces and the fourth coin is a normal one. A coin is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the coin tossed is also a head.
Choices:
2/5
3/5
4/5
3/4
Answer: C
Question: The average weight of a group of boys is 30 kg. After a boy of weight 33 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
5
2
7
8
Answer: B
Question: If a is a positive integer, and if the units digit of a^2 is 9 and the units digit of (a+1)^2 is 4, what is the units G digit of (a+2)^2?
Choices:
1
5
6
C. 14
Answer: A
Question: A train 275 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?
Choices:
6 sec
15 sec
10 sec
None
Answer: B
Question: Rose and Marry each have a bag of marbles, each of which contains 4 blue marbles, 10 red marbles, and 6 white marbles. If Rose and Marry each select one marble from their respective bags, what is the probability that either Rose or Marry select a red marble?
Choices:
3/4
1/4
1/8
1/16
Answer: A
Question: First bunch of bananas has (1/4) again as many bananas as a second bunch. If the second bunch has 3 bananas less than the first bunch, then the number of bananas in the first bunch is
Choices:
10
12
15
17
Answer: C
Question: The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 54. What is the difference between the two digits of that number?
Choices:
5
6
8
9
Answer: B
Question: In the game of Dubblefud, red chips, blue chips and green chips are each worth 2, 4 and 5 points respectively. In a certain selection of chips, the product of the point values of the chips is 16,000. If the number of blue chips in this selection doubles the number of green chips, how many red chips are in the selection?
Choices:
2
3
4
5
Answer: A
Question: Sneh's age is 1/6th of her father's age. Sneh's father's age will be twice of Vimal's age after 10 years. If Vimal's eighth birthday was celebrated two years before, what is Sneh's present age?
Choices:
30 years
6 2/3 years
32 years
None of these
Answer: D
Question: Jack and Jill work at a hospital with 2 other workers. For an internal review, 2 of the 4 workers will be randomly chosen to be interviewed. What is the probability that Jack and Jill will both be chosen?
Choices:
1/6
1/15
3/8
2/3
Answer: A
Question: Tom, who has 50 math questions, will get 6 points per question if he chooses a correct answer. If he chooses a wrong answer to a question or skips one, he will lose 2 points per question. Then, which of the following can be the score if he solves all the 50 questions?
Choices:
193
194
195
196
Answer: D
Question: . A boy has eight trousers and 10 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
80
90
120
140
Answer: A
Question: If the product of 4 integers is negative, at most how many of the integers can be negative?
Choices:
3
4
5
6
Answer: A
Question: The Carson family will purchase three used cars. There are two models of cars available, Model A and Model B, each of which is available in seven colors: blue, black, red, and green. How many different combinations of three cars can the Carsons select if all the cars are to be different colors?
Choices:
32
48
254
192
Answer: C
Question: Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan?
Choices:
266
288
300
371
Answer: C
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Choices:
6
8
9
5
Answer: C
Question: A certain list of 200 test scores has an average (arithmetic mean) of 90 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 202 test scores with a standard deviation less than d ?
Choices:
80 and 85
90 and 90
85 and 85
85 and 90
Answer: B
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
Choices:
7/12
7/19
7/12
7/15
Answer: D
Question: Mr. Smith calculated the average of 10 three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 69.3. The difference between the unit digit and hundreds digit of that number is :
Choices:
4
5
6
7
Answer: D
Question: Mac has £ 3 more than Ken, but then Ken wins on the horses and trebles his money, so that he now has £ 2 more than the original amount of money that the two boys had between them. How much money did Mac and Ken have between them before Ken's win ?
Choices:
27
13
55
11
Answer: B
Question: How long does a train 150 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
Choices:
19.2
16.4
16.8
16.1
Answer: A
Question: Find the average of all the numbers between 6 and 34 which are divisible by 5.
Choices:
20
288
277
21
Answer: A
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of seven rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other after___ minutes?
Choices:
12 min
10 min
15 min
16 min
Answer: B
Question: A class of boys stands in a single line, One boy is 19th in order from both the ends, How many boys are there in the class ?
Choices:
37
27
29
11
Answer: A
Question: Mr. and Mrs.Ghosh have some children. Seven of them don’t eat lettuce, five of them don’t eat banana and six of them don’t eat cabbage. Exactly two of them don’t eat cabbage and lettuce, three of them don’t eat banana and cabbage, and four of them don’t eat lettuce and banana. One eats none of these. And there is no child who eats all of these.How many children are there?
Choices:
9
10
11
12
Answer: B
Question: The last two-digits in the multiplication 122 × 123 × 125 × 127 × 129 will be
Choices:
50
30
40
10
Answer: A
Question: A bag contain 25 blue marbles and 25 purple marbles. One marble is drawn at random. What is the probability that
marble is purple?
Choices:
2/3
1/2
5/3
None of these
Answer: B
Question: How many positive integers less than 10,000 are there in which the sum of the digits equals 5?
Choices:
30
48
56
72
Answer: C
Question: Farm A had an average output of 300 kgs of rice per acre. Farm B had an average output of 350 kgs of rice per acre. It is known that Farm B's area is 15 acres less than Farm A's. It is also known that Farm B in total harvested 2000 kgs of rice more than Farm A. What is the area of Farm A?
Choices:
135 acres
148 acres
160 acres
145 acres
Answer: D
Question: A little boy is numbering his collection of flowers by placing single-digit stickers under each specimen. If the boy has 100 flowers, how many stickers does he need? (The numbers are consecutive and the number of the first flower is 1).
Choices:
189
192
195
203
Answer: B
Question: A furniture store owner decided to drop the price of her recliners by 20% to spur business. By the end of the week she had sold 25% more recliners. What is the percentage increase of the gross?
Choices:
00%
20%
25%
50%
Answer: A
Question: The HCF and LCM of two numbers are 18 and 3780 respectively. If one of them is 540, then the second one is:
Choices:
126
118
112
116
Answer: A
Question: A train 130 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
51.8 km/hr
17 km/hr
18 km/hr
12 km/hr
Answer: A
Question: What is the diffference between the place value and face value of 3 in the numeral 1375?
Choices:
289
297
300
314
Answer: B
Question: If a choir consists of 2 boys and 3 girls, in how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.
Choices:
30
24
11
4
Answer: D
Question: In a partnership between A, B and C. A's capital is Rs.9000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Choices:
19766
29172
21150
11267
Answer: C
Question: Three men sit at a table. One dollar is placed in front of each of them. When a buzzer sounds, the first man to touch the money in front of him keeps the money that is in front of him, while the other two receive nothing. If none of the three men touches the money in front of them, then the amount of money doubles for the next round. After six rounds of this activity, what is the maximum amount of money that any one man could receive?
Choices:
$5
$10
$15
$32
Answer: D
Question: Thomas takes loan from a bank at 20% p.a. simple interest.
After how many years will the sum of money become three times the principal?
Choices:
4 years
10 years
8 years 3 months 2 days
5 years
Answer: B
Question: The expression (5x-2)/(x+1) is equivalent to which of the following?
Choices:
5 – (2/3)
5 – (x)/(x+3)
5 – (17)/(x+3)
5 - (7)/(x+3)
Answer: D
Question: A solution contains 8 parts of water for every 7 parts of Lemonade syrup. How many parts of the solution should be removed and replaced with water so that the solution will now contain 20% lemonade syrup?
Choices:
1.75
2.14
2.34
2.64
Answer: B
Question: A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 10)%. In terms of x, how many species of bacteria will the group be able to model?
Choices:
(x)(105 – x)
(100)(105 – x)
(100)(95 – x)
(x)*(110 - x)
Answer: D
Question: There are 5 marbles in a bag - 2 are orange and 3 are blue. If two marbles are pulled from the bag, what is the probability Q that at least one will be orange?
Choices:
Q=7/10
Q=2/5
3/10
1/10
Answer: A
Question: A car covers a distance of 690 km in 6 hours. Find its speed?
Choices:
115
266
288
121
Answer: A
Question: A sum is divided between A and B in the ratio of 1 : 2. A purchased a car from his part, which depreciates 14 2/7% per annum and B deposited his amount in a bank, which pays him 20% interest per annum compounded annually. By what percentage will the total sum of money increase after two years due to this investment pattern (approximately).
Choices:
20.48%
24.48%
25.48%
26.48%
Answer: A
Question: A person travelled from his house to office at 40km/hr and office to house at 60km/hr. Then find the average speed?
Choices:
40km/hr
48km/hr
50km/hr
62km/hr
Answer: B
Question: One card is drawn from a pack of 52 cards. What is the probability that the card drawn is not a face card?
Choices:
5/17
9/13
3/13
7/15
Answer: B
Question: Which of the following is a terminating decimal, when expressed in decimals?
Choices:
13/231
41/3
41/256
35/324
Answer: C
Question: How many different ways can you select a pilot and a co pilot if you have 50 people to choose from?
Choices:
200
2450
4950
9900
Answer: B
Question: A leak at the bottom of the tank can empty the tank in 5 hours, while an inlet pipe can fill the same tank at the rate of 6 litres per minute. When the tank is full, the inlet is opened and the tank gets empty in 8 hours due to the leakage. Find the capacity of the tank.
Choices:
3600 litres
4800 litres
5760 litres
None of these
Answer: B
Question: A truck driver drove for 2 days. On the second day, he drove 3 hours longer and at an average speed of 15 miles per hour faster than he drove on the first day. If he drove a total of 1,600 miles and spent 21 hours driving during the 2 days, what was his average speed on the first day, in miles per hour?
Choices:
30.3
35.2
40.4
67.6
Answer: D
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 250 m and they cross each other in 10 sec, then the speed of each train is?
Choices:
31
36
25
90
Answer: D
Question: A rectangular plot measuring 10 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed?
Choices:
66m
26m
24m
25m
Answer: C
Question: In a certain code language, 'book' is coded as 'pencil', 'pencil' is coded as 'mirror', 'mirror' is coded as 'board'. Then what is useful to write on a paper?
Choices:
2
277
281
22
Answer: A
Question: Each side of a certain parallelogram has length 4. If the area of the parallelogram is 12. Which of the following is the measure of one of its angles?
Choices:
48.6
60
90
120
Answer: A
Question: A girl was asked to multiply a certain number by 43. She multiplied it by 34 and got his answer less than the correct one by 1206. Find the number to be multiplied.
Choices:
132
134
136
138
Answer: B
Question: The price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980. If its price of $1.80 in 1970 was 150 percent of its price in 1960, what was its price in 1980?
Choices:
b) $ 2.00
c) $ 2.40
d) $ 2.70
e) $ 3.00
Answer: C
Question: The sum of the first 50 positive even integers is 2550. What is the sum Q of even integers from 102 to 200 inclusive?
Choices:
7550
10100
15500
20100
Answer: A
Question: What is the smallest positive perfect square that is divisible by 12, 15, and 18?
Choices:
900
2,500
3,600
4,900
Answer: A
Question: The volume of a cistern is 840 cubic meters and water is flowing into the cistern. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate, in cubic meters per minutes, at which the water is flowing into the cistern?
Choices:
0.25
0.5
0.75
Not enough information to determine the rate
Answer: D
Question: Calculate the amount that an investor needs to be invest to earn approximately $1076 in interest in 12 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of 10% compounded semi-annually?
Choices:
10500
10100
13500
11500
Answer: A
Question: A rectangular table, kept against a wall has a three sides free and the wall along the fourth side. The side opposite the wall is twice the length of each of the other two free sides. If the area of the rectangular table is 128 square feet, what is the total length of the table free sides, in feet?
Choices:
8
16
32
64
Answer: C
Question: A horse has 14 apples, then he finds 7 more apples. Now how many apples does he have?
Choices:
B)21
C)7
D)18
E)12
Answer: A
Question: Two persons start running simultaneously around a circular track of length 100 m from the same point at speeds of 10 km/hr and 20 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ?
Choices:
12 sec
19 sec
32 sec
28 sec
Answer: A
Question: Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years.
Choices:
Rupees 1052
Rs 1252
Rs 1352
None of these
Answer: A
Question: The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. If there are 90 black cars in the lot, how many red cars are there in the lot?
Choices:
33
24
31
32
Answer: A
Question: A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
Choices:
50%
70%
60%
80%
Answer: A
Question: If x and y are integers, what is the least positive number of 24x+18y?
Choices:
6
9
12
15
Answer: A
Question: There are 24 students in Chadâ€™s class. He brought 28 cookies to pass out
for his birthday. How many cookies will each student get? Will there be
any cookies left over?
Choices:
1-7
2-8
1-4
3-10
Answer: C
Question: A woman complete a journey in 25 hours. She travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Choices:
216 km.
314 km.
224 km.
560 km.
Answer: D
Question: A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.
Choices:
39 km
25 km
15 km
30 km
Answer: A
Question: Find the percentage gain if a shop owner sells 39 mtr of fabric and gains Cost Price of 12 meters?
Choices:
23.5%
21.5%
13.5%
32.5%
Answer: A
Question: In 1995, the Johnsons spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johnsons cut back their water usage. By how much must the Johnsons have reduced their 1996 water usage to pay exactly the same amount Y in 1996 as they paid in 1995?
Choices:
33 1⁄3%
50%
66 2⁄3%
100%
Answer: A
Question: At what rate percent per annum will a sum of money double in 10years?
Choices:
10%
18%
20%
25%
Answer: A
Question: If 3 ministers are to be seated at a round table conference, then how many different ways can they be seated?
Choices:
60
2
720
180
Answer: B
Question: If 3^x*4^y = 59,049 and x – y = 10, then x = ?
Choices:
10
12
13
14
Answer: A
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Choices:
12.1
12.7
12.6
12.2
Answer: A
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
Choices:
176 cm2
285 cm2
751 cm2
175 cm2
Answer: B
Question: 40% of a number is more than 20% of 650 by 190. Find the number?
Choices:
276
800
288
121
Answer: B
Question: A train 130 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 4 km/hr in the direction opposite to that in which the train is going?
Choices:
6.5
7
7.13
10.2
Answer: C
Question: 11, 13, 17, 19, 23, 29, 31, 37, 41, ?
Choices:
43
51
53
43
Answer: A
Question: Calculate how many days it will take for 8 boys to paint a 50 m long wall if 6 boys can paint a 60 m long wall in 5 days,
Choices:
3.13 days
513 days
9.13 days
2 days
Answer: A
Question: If the number 517 * 324 is completely divisible by 3, then the smallest whole number in the place of * will be:
Choices:
1
2
None of these
Cannot be determined
Answer: B
Question: If 5log(4*5^2) = x, find x
Choices:
6
7
10
9
Answer: C
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is?
Choices:
10 days
12 days
14 days
30/4 days
Answer: D
Question: How much interest can a person get on Rs. 8100 at 17.5% p.a. simple interest for a period of two years and six months?
Choices:
3543.75
3587.5
3587.52
3587.56
Answer: A
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
Choices:
25%
28%
87%
16%
Answer: A
Question: If the number 481 * 673 is completely divisible by 9, then the smallest whole number in place of * will be:
Choices:
7
6
8
9
Answer: A
Question: If the denominator of a fraction is increased by 4, then the fraction becomes 5/8. If the numerator is 11 less than the denominator, find the numerator.
Choices:
25
30
15
35
Answer: A
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Choices:
123600 m
153600 m
123344 m
124556 m
Answer: B
Question: Ayesha's father was 28 years of age when she was born while her mother was 10 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
22 years
46 years
88 years
10 years
Answer: A
Question: In a graduate physics course, 70 percent of the students are male and 30 percent of the students are married. If one-sevenths of the male students are married, what fraction of the female students is single?
Choices:
1/3
1/2
2/3
5/7
Answer: A
Question: When x is multiplied by 2, the result is 19 more than the result of subtracting x from 26. What is the value of x?
Choices:
-2
15
13
22
Answer: B
Question: A certain number X when divided by 243 leaves a remainder of 83. Which of the following can be subtracted from X to make X divisible by 82?
Choices:
27
37
80
57
Answer: B
Question: When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?
Choices:
671
287
279
171
Answer: A
Question: There are 100 employees in a room. 99% are President. How many managers must leave the room to bring down the percentage of President to 98%?
Choices:
2
46
50
97
Answer: A
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
Choices:
6789
1200
6151
1421
Answer: B
Question: A committee of three students has to be formed. There are five candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible?
Choices:
4
5
6
8
Answer: A
Question: Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.15 sec
3.15 sec
8.15 sec
6.15 sec
Answer: A
Question: If the price of a certain computer increased 30 percent from d dollars to 338 dollars, then 2d =
Choices:
520
619
649
700
Answer: A
Question: Which of the following must be true?
1) Every prime number greater than 5 can be written as either as 3n+1 or 3n-1
2) Every prime number greater than 5 can be written as 4n+1 or 4n-1
3) Every number greater than 5 of the form 3n+1 or 3n-1 is a prime number.
Choices:
2,3
only 1
1,2
only 2
Answer: C
Question: There are an odd number of bananas in every bunch of bananas (b = number of bananas per bunch, and B = number bunches of bananas), and every bag of apples has an even number of apples (a = number apples per bag, and A = number bags of apples). The store refuses to sell individual items. The store only sells bunches and bags. Which equation shows how the fruits can be combined to ensure an equal number of bananas and apples?
Choices:
(2Bb + 1) = (Aa + 1)
(1/2)(4B + 2)(2b + 1) = (A)(2a + 1)
(B)(2b + 1) = (A)(2a)
(B + 1)(b) = (2A + 1)(2a + 1)
Answer: C
Question: If x and y are positive numbers and z = xy^2, a 20 percent increase in x and a 10 percent decrease in y would result in which of the following changes in z?
Choices:
decrease of 2.8%
increase of 4.6%
increase of 15.8%
increase of 22.4%
Answer: A
Question: What is the remainder when 7^74 - 10^74 is divided by 24?
Choices:
1
2
0
None of these
Answer: C
Question: A number when divided by 44, gives 400 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 35
Choices:
A)30
C)4
D)6
E)7
Answer: A
Question: Out of four numbers ,the average of first three is 16 and that of the last three is 15. If the last number is 18,the first number is :
Choices:
21
77
99
27
Answer: A
Question: A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $1340 in total compensation, how many total hours did he work that week?
Choices:
60
65
48
52
Answer: B
Question: The average age of a committee of 8 members is 44 years. A member aged 56 years retired and his place was taken by another member aged 44 years . The average age of
present committee is;
Choices:
38 years
42.5 years
35 years
37 years
Answer: B
Question: A typist uses a paper 12" by 5" length wise and leaves a margin of 1" at the top and the bottom and a margin of ½" on either side. What fractional part of the paper is available to him for typing ?
Choices:
2⁄3
1⁄3
5⁄7
None of these
Answer: A
Question: A rectangular-shaped carpet remnant that measures x feet by y feet is priced at $60. What is the cost of the carpet, in dollars per square yard? (9 square feet = 1 square yard)
Choices:
540/(xy)
xy/9
xy/60
60xy
Answer: A
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Choices:
27
28
29
31
Answer: A
Question: A carpenter worked alone for 1 day on a job that would take him 5 more days to finish. He and another carpenter completed the job in 4 more days. How many days would it have taken the second carpenter to do the complete job working alone?
Choices:
7
9
14
24
Answer: D
Question: what is the remainder when 789456123 is divided by 999
Choices:
369
379
388
399
Answer: A
Question: A mixture of 150 liters of water and milk contains 20% milk. How much more milk should be added so that milk becomes 25% of the new mixture?
Choices:
10
30
40
50
Answer: A
Question: 8 men, working 7 hours a day can complete a work in 18 days. How many hours a day must 12 men work to complete the same work in 12 days?
Choices:
7
8
9
10
Answer: A
Question: The salary of a person was reduced by 20%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
Choices:
32%
25%
43%
29%
Answer: B
Question: A, B, C, D and E are 5 consecutive points on a straight line. If BC = 2CD, DE = 8, AB = 5 and AC = 11, what is the length of AE?
Choices:
20
22
24
26
Answer: B
Question: The population of a town was 1,60,000 three years ago, If it increased by 3%, 2.5% and 5% respectively in the last three years, then the present population in
Choices:
177329
177629
177366
1773198
Answer: C
Question: If n divided by 7 has a remainder of 2, what is the remainder when 6 times n is divided by 7?
Choices:
2
3
5
6
Answer: C
Question: Peter's internet provider offers unlimited traffic which costs $0.5 per day charged off at 12 a.m. The service is discontinued when client's debt exceeds $5. If today in the morning Peter makes a payment of $7, for how many days, including today, will she be connected to the internet without any additional payments, given her initial balance was $0?
Choices:
24
25
26
13
Answer: B
Question: At a dinner party, 7 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:
10
24
32
720
Answer: D
Question: A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.35 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is?
Choices:
23
28
29
26
Answer: D
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is ?
Choices:
17/25
17/27
17/29
17/89
Answer: A
Question: Rs.880 is divided amongst A, B, C so that 4 times A's share, 5 times B's share and 10 times C's share are all equal. Find C's share?
Choices:
150
817
160
616
Answer: C
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
Choices:
Rs. 1500
Rs. 2000
Rs. 2200
Rs. 2400
Answer: B
Question: There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If now it is 3,900 milk chocolates per month, what was it one month ago?
Choices:
3000 chocolates
8000 chocolates
7000 chocolates
None of these
Answer: A
Question: 5 cars are to be parked in 5 parking slots. there are 3 red colour cars, 1 blue colour car and 1 green car. how many ways the car can be parked?
Choices:
15 ways
20 ways
25 ways
30 ways
Answer: B
Question: A cab driver 5days income was $45, $50, $60, $65 , $80. Then his average income is?
Choices:
B)$42
C)$60
D)$48
E)$62
Answer: B
Question: An outlet pipe can empty 2/3 rd of a cistern in 20 minutes. In 8 minutes, what part of the cistern will be emptied?
Choices:
4/3
4/2
4/8
4/15
Answer: D
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. How many sweets were available in all for distribution?
Choices:
2680
2750
2400
None of these
Answer: D
Question: A fellow borrowed a certain sum of money at 5% per annum at simple interest and in 5 years the interest amounted to Rs.2250 less than the sum lent. What was the sum lent?
Choices:
1220
1250
1060
3000
Answer: D
Question: A man can row downstream at 18 kmph and upstream at 6 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
5
6
4
9
Answer: B
Question: Factor | Percent of Respondents |
User-friendly | 56% |
Fast response time | 48% |
Bargain prices | 42% |
The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,500 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both “user-friendly” and “fast response time,” what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?”
Choices:
336
360
390
420
Answer: C
Question: Can you find the missing number in the sequence given below?
11 18 25 12 19 ? 13 20 27 14 21 28
Choices:
21
22
23
26
Answer: D
Question: The average price of an decoration piece increases over the years. If from 1990 to 1996, the price of the decoration piece increased by 13% and from 1996 to 2001 it increased by 20%, what is the price of the decoration piece in 2001 if the price in 1990 was $11,500?
Choices:
$15,594.
$14,786.
$14,543.
$12,988.
Answer: A
Question: In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 14 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Choices:
112%
120%
124.2%
138%
Answer: A
Question: 3 man had collected 65 apples by visiting different tress. At tree 1 the collected some apples. At tree 2 they had 3 times the apple that they collected in tree 1. At tree 3 they had 5 times the no of apples when they reach there. At tree 4 they could collect only 5 apples. What was the no of apples they had in tree 1
Choices:
2
3
4
5
Answer: B
Question: What is the dividend from Tony's stock, if he invested Rs. 3200 at 85 to obtain an income of Rs. 250.
Choices:
7.6
6.6
7.6
9.6
Answer: B
Question: There is a road beside a river.two friends started from a place A,moved to a temple situated at another place B and then returned to A again.one of them moves on a cycle at a speed of 12 km/hr,while the other sails on a boat at a speed of 10 km/hr.if the river flows at the speed of 4 km/hr,which of the two friends will return to placeA first?
Choices:
boat sailor
none
cyclist
cyclist and boat sailor both are reached at the same time
Answer: C
Question: What is the difference between the largest number and the least number written with the digits 7, 3, 1, 4?
Choices:
6084
2077
2721
1812
Answer: A
Question: How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
Choices:
5040
400
5000
6000
Answer: A
Question: Bexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Bexy’s average speed. How many minutes does Ben spend on his round trip?
Choices:
80
120
160
180
Answer: C
Question: Selling an kite for Rs. 30, a shop keeper gains 35%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Choices:
10%
11%
15%
21.5%
Answer: D
Question: The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y?
Choices:
2001
2012
2011
2009
Answer: C