antoine-444/aqua_rat_dataset huggingface dataset:
Question: Mahesh visited his cousin Akash during the summer vacation. In the mornings, they both would go for swimming. In the evenings, they would play tennis. They would engage in at most one activity per day, i.e. either they went swimming or played tennis each day. There were days when they took rest and stayed home all day long. There were 32 mornings when they did nothing, 18 evenings when they stayed at home, and a total of 28 days when they swam or played tennis. What duration of the summer vacation did Mahesh stay with Akash?
Choices:
36 days
39 days
58 days
None
Answer: B
Question: ACME’s manufacturing costs for sets of horseshoes include a $11,450 initial outlay, and $19.75 per set. They can sell the sets $51.50. If profit is revenue from sales minus manufacturing costs, and the company producessells 987 sets of horseshoes, what was their profit?
Choices:
$19,887.25
$41,308.50
$51,817.50
$53,624.25
Answer: A
Question: Ravi purchased a T.V. and a mobile phone for Rs. 30000 and Rs. 10000 respectively. He sold the refrigerator at a loss of 5 percent and the mobile phone at a profit of 10 percent. Overall he make a.
Choices:
loss of Rs. 500
profit of Rs. 100
profit of Rs. 200
None of these
Answer: A
Question: If the average (arithmetic mean) of a and b is 35 and the average of b and c is 80, what is the value of c − a?
Choices:
50
90
140
It cannot be determined from the information given.
Answer: B
Question: If P(A) = 2/15, P(B) = 4/15, and P(A âˆª B) = 12/15 Find P(B|A)
Choices:
2/3
3/2
4/5
6
Answer: D
Question: Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 20hr. If all pipes are opened simultaneously, then the cistern will be filled in
Choices:
7.5 hr
8.5 hr
10 hr
None of these
Answer: A
Question: If a fair coin is flipped four times in a row, what is the probability that there will be at least one head and one tail?
Choices:
7/8
15/16
31/32
63/64
Answer: A
Question: If two numbers x, a perfect square and y, a perfect cube are added results a two digit number, whose digits if reversed, difference is 27, Find x and y ?
Choices:
x=4,y=9
x=4,y=7
x=4,y=9
x=9,y=27
Answer: D
Question: A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
Choices:
2 hours
9 hours
5 hours
3 hours
Answer: A
Question: If f(x) = 2x^2 + y, and f(2) = 100, what is the value of f(5)?
Choices:
60
52
50
142
Answer: D
Question: In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 70 percent of the Republicans and 25 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election?
Choices:
4%
8%
10%
15%
Answer: A
Question: What Is The Next Number
12 13 15 17 111 113 117 119 123 129 ?
Choices:
220
129
131
224
Answer: C
Question: A number when successively divided by 3,5 and 8 leaves remainders 1,4 and 7 respectively. Find the respective remainders T when the order of the divisors is reversed.
Choices:
4,2,1
T=3,2,1
T=6,4,2
None of above
Answer: C
Question: On a partly cloudy day, john decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction of the total distance did he cover while the sun was shining on him?
Choices:
1/7
1/6
1/5
1/4
Answer: A
Question: The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
Choices:
81:121
81:221
86:121
81:131
Answer: A
Question: In a certain state, gasoline stations compute the price per gallon p, in dollars, charged at the pump by adding a 5 percent sales tax to the dealer's price per gallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon d in terms of the price per gallon p charged at the pump?
Choices:
d= (p-0.18)/1.05
d = p/1.23
d = p-0.23
d = p/1.05 - 0.18
Answer: A
Question: Seven people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Choices:
1/6
3/7
4/6
None of them
Answer: A
Question: A couple decides to have 4 children. If they succeed in having 4 children and each child is equally likely to be a boy or a girl, what is the probability that they will have exactly 2 girls and 2 boys?
Choices:
3/8
3/16
1/8
1/16
Answer: A
Question: At a small company, 58 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?
Choices:
1/3
9/20
7/10
41/58
Answer: D
Question: here are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
Choices:
4510
1203
1800
4512
Answer: C
Question: During a certain season, a team won 60 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?
Choices:
70
56
50
105
Answer: C
Question: Two trains A and B are 225 m and 150 m long and are moving at one another at 54 Km/hr and 36 Km/hr respectively. Arun is sitting on coach B1 of train A. Calculate the time taken by Arun to completely cross Train B.
Choices:
15 s
4 s
8 s
12 s
Answer: A
Question: What is the normal price of an article sold at $72 after two successive discounts of 10% and 20%?
Choices:
$96
$100
$104
$108
Answer: B
Question: Of the 600 residents of Clermontville, 35% watch the television show Island Survival, 40% watch Lovelost Lawyers and 50% watch Medical Emergency. If all residents watch at least one of these three shows and 18% watch exactly 2 of these shows, then how many Clermontville residents V watch all of the shows?
Choices:
108
42
21
-21
Answer: C
Question: Look at this series: 70, 71, 76, __, 81, 86, 70, 91, ... What number should fill the blank?
Choices:
70
80
96
None
Answer: A
Question: We bought a total of 90 books at the store. Math books cost $4 and history books cost $5. The total price was $390. How many math books did we buy?
Choices:
60
63
66
69
Answer: A
Question: Thabo owns exactly 220 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. If he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover books nonfiction books does Thabo own?
Choices:
20
30
40
50
Answer: C
Question: In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :
Choices:
38
40
42
44
Answer: A
Question: The average (arithmetic mean) of eight numbers is 43.2. If the sum of half of these numbers is 154.4, what is the average of the other half?
Choices:
47.8
50.5
53.6
56.9
Answer: A
Question: Express a speed of 108 kmph in meters per second?
Choices:
05 mps
09 mps
30 mps
11 mps
Answer: C
Question: A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 24 m * 2 m * 0.75 m?
Choices:
27782
27891
24000
18771
Answer: C
Question: If 1 is added to the denominator of fraction, the fraction becomes 1/2. If 1 is added to the numerator, the fraction becomes 1. The fraction is ?
Choices:
5/9
2/3
10/11
None
Answer: B
Question: The ratio of length to width of a rectangular showroom window is 3.3 to 2. If the width of the window is 8 feet, what is the approximate length of the display in feet?
Choices:
11
13
16
26
Answer: B
Question: Suresh started a business, investing Rs.18000. After 3 months and 4 months respectively, Rohan and Sudhir joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.3982. What is the difference between Rohan’s and Sudhir’s share in the profit?
Choices:
360
362
375
380
Answer: B
Question: What is the greatest prime factor of 4^15 - 2^28?
Choices:
3
5
7
11
Answer: A
Question: A number of 44 marbles is to be divided and contain with boxes. If each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?
Choices:
14
15
16
17
Answer: A
Question: A batsman makes a score of 82 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
Choices:
31
27
29
34
Answer: D
Question: Which of the following describes all values of x for which 1–x^2 >0?
Choices:
x <= –1
0 <= x <= 1
x <= –1 or x >= 1
–1 < x < 1
Answer: D
Question: The sum of ages of 5 children born 1.5 years different each is 50 years. What is the age of the Elder child?
Choices:
9
10
16
13
Answer: D
Question: Two wheels are connected via a conveyor belt. The larger wheel has a 48cm diameter and the smaller wheel has a 32cm diameter. In order for the conveyor belt to work smoothly, each wheel must rotate the exact same number of centimetres per minute. If the larger wheel makes r revolution per minute, how many revolutions does the smaller wheel make per hour in terms of r?
Choices:
90r
48r
24r
(64π)/3
Answer: A
Question: A and B can do a piece of work in 18 and 9 days respectively. A does the work for a few days and left, then B continued for 6 days. How many days did A and B work together?
Choices:
2
3
4
5
Answer: A
Question: Kate and David each have $10. Together they flip a coin 5 times. Every time the coin lands on heads, Kate gives David $1. Every time the coin lands on tails, David gives Kate $1. After the coin is flipped 5 times, what is the probability that Kate has more than $10 but less than $15?
Choices:
15/ 32
1/ 2
2/32
11/ 16
Answer: A
Question: I. a3 - 988 = 343,
II. b2 - 72 = 49 to solve both the equations to find the values of a and b?
Choices:
If a ≥ b
If a < b
If a ≤ b
If a = b or the relationship between a and b cannot be established.
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 6 boys when a boy gets any no. of prizes?
Choices:
230
224
216
70
Answer: C
Question: x, y and z are consecutive positive integers such that x < y < z; which of the following must be true?
1. xyz is divisible by 6
2. (z-x)(y-x+1) = 4
3. xy is even
Choices:
II only
III only
I and II only
I, II, and III
Answer: D
Question: Ranjeet purchased an item for Rs.3500 and sold it at the loss of 25%. From that amount he purchased another item and sold it at the gain of 20%. What is his overall gain/loss?
Choices:
Gain of Rs.120
Loss of Rs.350
Neither gain nor loss
None of these
Answer: B
Question: Find the odd man out 3, 8, 38, 78, 158
Choices:
8
128
18
158
Answer: C
Question: From the answers select the option that is near to √5?
Choices:
2.2
3.0
3.8
1.9
Answer: A
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 55 kg. What might be the weight of the new person?
Choices:
90 kg
75 kg
Data inadequate
None of these
Answer: B
Question: If x is divisible by 5, 20, and 125, which of the following must be the least multiple of x?
Choices:
1250
500
100
125
Answer: B
Question: Which of the following has 21^20 as a factor?
Choices:
30^20
40^80
42^20
90^80
Answer: C
Question: Mary and Mike enter into a partnership by investing $650 and $350 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Mary received $600 more than Mike did, what was the profit made by their business in that year?
Choices:
$3000
$3300
$3400
$4000
Answer: A
Question: A can knit a pair of socks in 3 days. B can knit the same thing in 6 days. If they are knitting together, in how many days will they knit two pairs of socks?
Choices:
4 days
4 1⁄2 days
3 days
None of these
Answer: A
Question: If 12 : 8 :: x : 16, then find the value of x
Choices:
24
28
16
20
Answer: A
Question: It takes Kannan 10 minutes to walk to the car park and 110 min to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
Choices:
5:50 a.m
7:50 a.m
6:50 a.m
7:00 a.m
Answer: D
Question: Reema can complete a piece of work in 12 days while Seema can the same work in 18 days. If they both work together, then how many days will be required to finish the work?
Choices:
7.2 days
9.5 days
12 days
13 days
Answer: A
Question: Calculate the sum of first 39 natural numbers.
Choices:
780
812
847
890
Answer: A
Question: In a class of 50 students, 3/5 went away do painting, 1/5 went to play in the field. How many students are left in the classroom?
Choices:
30
5
8
10
Answer: D
Question: Which is largest prime number?
Choices:
857
859
523
461
Answer: B
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 42 kmph. Of how many minutes does the train stop per hour?
Choices:
4
15
18
12
Answer: A
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 6 : 2 : 4 : 3. If C gets $500 more than D, what is D's share?
Choices:
$2500
$3000
$3600
$4200
Answer: B
Question: If A lends Rs.2000 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Choices:
90
132.5
114.5
212.5
Answer: A
Question: Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $6 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?
Choices:
8n + 4
9n + 2
9n + 5
9n + 4
Answer: C
Question: Claire has a total of 92 pets consisting of gerbils and hamsters only. One-quarter of the gerbils are male, and one-third of the hamsters are male. If there are 25 males altogether, how many gerbils does Claire have?
Choices:
68
54
57
60
Answer: A
Question: A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 50km/hr. in return trip, he covers the same distance at an average speed of 20km/hr. the average speed of the car over the entire distance of 400 km is
Choices:
26.7km/hr
27.8km/hr
28.5km/hr
8.45km/hr
Answer: C
Question: The mass of 1 cubic meter of a substance is 400 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
Choices:
2.5
3.5
4.5
5.5
Answer: A
Question: Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.120000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh
Choices:
Rs. 3000
Rs. 4000
Rs. 5000
None of these
Answer: C
Question: A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
Choices:
09
40
42
76
Answer: B
Question: Two trains 500 m and 750 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
45
10.4
10.8
10.1
Answer: A
Question: Machine M, N, O working simultaneously Machine M can produce x units in 3/4 of the time it takes machine N to produce the same amount of units. Machine N can produce x units in 2/5 the time it takes machine O to produce that amount of units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N?
Choices:
5/11
4/13
8/29
6/33
Answer: A
Question: How many words can be formed from the letters of the word ‘DIRECTOR’ So that the vowels are always together?
Choices:
7845
2160
2541
5631
Answer: B
Question: A box contains 2 red, 3 black and 4 blue balls. 3 balls are randomly drawn from the box. If two balls are found to be different, what is the probability that the third ball is blue?
Choices:
9/3
5/3
2/3
1/3
Answer: D
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 60900. What is his profit percent?
Choices:
10.7%
18%
14%
16%
Answer: A
Question: The length of the bridge, which a train 110 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
265
245
277
211
Answer: A
Question: A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?
Choices:
Rs.144
Rs.120
Rs.129
Rs.126
Answer: A
Question: 1907 x 1907 = ?
Choices:
B)3624216
C)3624316
D)3636649
E)3625216
Answer: C
Question: Given f(x) = 3x – 5, for what value of x does 2*[f(x)] – 19 = f(x – 4) ?
Choices:
4
6
8
10
Answer: A
Question: 3 person can fill tank in 25 min, a can fill in 30 min , b can fill in 35 min and c can empty the 5 gallon per min then what is the capacity of tank?
Choices:
218.26 gallons
228.26 gallons
238.26 gallons
248.26 gallons
Answer: B
Question: The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?
Choices:
9
4
6
3
Answer: C
Question: A man gains 30% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.
Choices:
140%
150%
260%
170%
Answer: C
Question: A doctor prescribed 20 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?
Choices:
25%
11%
12.5%
14.8%
Answer: A
Question: The price of lunch for 15 people was $208.00, including a 15 percent gratuity for service. What was the average price per person, EXCLUDING the gratuity?
Choices:
$12.60
$13.80
$14.00
$15.87
Answer: A
Question: An adventuring party consists of 4 white mages, 6 warriors, and 4 archers. In how many ways can 3 white mages, 2 warriors and 2 archers be selected from the given group?
Choices:
446 ways
360 ways
157 ways
134 ways
Answer: B
Question: Peter invests a sum of money and gets back an amount of $ 815 in 3 years . David invests an equal amount of money and gets an amount of $850 in 4 years. If both amounts were invested at the same rate (simple interest ) What was the sum of money invested ?
Choices:
664
698
744
710
Answer: D
Question: If x is equal to the sum of the integers from 60 to 80, inclusive, and y is the number of even integers from 60 to 80, inclusive, what is the value of x + y?
Choices:
1481
1601
1721
1841
Answer: A
Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Choices:
277
281
280
267
Answer: C
Question: If 2a – b = 3c, where a, b, and c are non-zero integers, which of the following could be the average (arithmetic mean) of a and b, if the average must itself be an integer?
Choices:
-1
1
10
12
Answer: D
Question: A group of n students can be divided into equal groups of 4 with 2 student left over or equal groups of 5 with 2 students left over. What is the sum of the two smallest possible values of n?
Choices:
46
49
64
86
Answer: C
Question: What is the number which when multiplied by 13 is increased by 180?
Choices:
15
23
35
45
Answer: A
Question: Over a three-week period, the price of an ounce of gold increased by 10% in the first week, decreased by 20% in the following week, and increased by 10% in the third week. If the price of gold was G dollars per ounce at the beginning of the three weeks, what was the price at the end of the three weeks?
Choices:
0.968G
0.988G
0.998G
1.008G
Answer: A
Question: A man can do a piece of work in 5 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:
712days
512days
412days
None of these
Answer: A
Question: Solve the given two equations and find the inequality of X and Y. (a) 2x^2 + 11x + 14 = 0 and (b) 4y^2 + 12y +9 =0
Choices:
If x>=y
If x<y
If x<=y
x=y or relationship cannot be established
Answer: B
Question: Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Eight years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Choices:
40
27
64
None of these
Answer: C
Question: An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
Choices:
4.14%
4.04%
4.26%
4.27%
Answer: B
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choices:
20 kmph
30 kmph
19 kmph
10 kmph
Answer: B
Question: The original price of a suit is $200. The price increased 30%, and after this increase, the store published a 30% off coupon for a one-day sale. Given that the consumers who used the coupon on sale day were getting 30% off the increased price, how much did these consumers pay for the suit?
Choices:
$182
$200
$209
$219
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 240 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
72
36
34
23
Answer: A
Question: What is the banker's discount if the true discount on a bill of Rs.540 is Rs.90 ?
Choices:
108
102
106
105
Answer: A
Question: Each of the integers from 0 to 8, 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:
9
7
6
5
Answer: B
Question: The average weight of 10 men is increased by 1 ½ kg when one of the men who weighs 48 kg is replaced by a new man. What is the weight of the new man?
Choices:
63 kg
70 kg
75 kg
85 kg
Answer: A
Question: If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
Choices:
Rs. 1510
Rs. 1500
Rs. 1490
None of these
Answer: B
Question: .005/?= .01
Choices:
.5
.005
.0005
None of them
Answer: A
Question: 60% of x is greater than 1/3rd of x by 110.what is x?
Choices:
200.5
300.5
350.5
412.5
Answer: D
Question: The grade point average of one third of the classroom is 69; the grade point average of the rest is 60. What is the grade point average of the whole class?
Choices:
63.
65
67
It depends how many people are there in the class.
Answer: D
Question: Two trains are running at 40 kmph and 20 kmph respectively in the same direction.Fast train completely passes a man sitting in the slower train in 9 seconds.What is the length of the fast train?
Choices:
23 2/9 m
27m
46 m
50 m
Answer: D
Question: The seats in an Engineering college for Computer science, electronics and civil are in the ratio of 5 : 7 :8. There is a proportion to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?
Choices:
2 : 3 : 4
6 : 8 : 9
6 : 8 : 7
none of these
Answer: A
Question: The average weight of 4 persons increases by 1.5 kg. If a person weighing 65 kg is replaced by a new person, what could be the weight of the new person?
Choices:
71 kg
76.5 kg
Data inadequate
None of these
Answer: A
Question: The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?
Choices:
3/11
5/11
6/13
7/13
Answer: A
Question: Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word RADAR could be arranged to create a five-letter code?
Choices:
5!/(2! x 2!)
6! − (3! × 2!)
6!/(3! + 2!)
6!/(3! × 2!)
Answer: A
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 2 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Choices:
22 years
25 years
26 years
27 years
Answer: A
Question: In covering a distance of 30 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
Choices:
5 km/hr.
1 km/hr.
7 km/hr.
9 km/hr.
Answer: A
Question: One half of a two digit number exceeds its one third by 8. What is the sum of the digits of the number?
Choices:
B)5
C)12
D)9
E)11
Answer: B
Question: The ages of two persons differ by 16 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively
Choices:
20,10
25,9
30,10
None of these
Answer: B
Question: Patrick purchased 90 pencils and sold them at a loss equal to the selling price of 40 pencils. The cost of 90 pencils is how many times the selling price of 90 pencils?
Choices:
0.8
1
1.2
1.44
Answer: D
Question: Mandy drove from point A to point B at 60 Km/h. On her way back she drove at 80 Km/h and therefore her way back lasted one hour less. What is the distance (in Km) between A and B?
Choices:
200.
240.
300.
600.
Answer: B
Question: S is the infinite sequence S1 = 2, S2 = 22, S3 = 222,...Sk = Sk–1 + 2(10k–1). If p is the sum of the first 30 terms of S, what is the eighth digit of p, counting right to left from the units digit?
Choices:
1
4
6
9
Answer: A
Question: In a certain apartment building, there are one-bedroom and two-bedroom apartments. The rental prices of the apartment depend on a number of factors, but on average, two-bedroom apartments have higher rental prices than do one-bedroom apartments. Let M be the average rental price for all apartments in the building. If M is $1,000 higher than the average rental price for all one-bedroom apartments, and if the average rental price for all two-bedroom apartments is $9,000 higher that M, then what percentage of apartments in the building are two-bedroom apartments?
Choices:
40%
20%
30%
10%
Answer: D
Question: Find the number of square tiles to cover the floor of a room measuring 10 m * 12 m leaving 0.25 m space around the room. A side of square tile is given to be 50 cms?
Choices:
476
437
257
212
Answer: B
Question: Find the value for x from below equation: x/3=-2?
Choices:
-6
4
5
-5
Answer: A
Question: If m=9^(x−1), then in terms of m, 3^(4x−5) must be which of the following?
Choices:
9m
9m^2
m^2/3
m^2/9
Answer: C
Question: In the first half of the 20th century, the population of a particular country increased by 200 percent. In the second half of the century, the population increased by 300 percent. What was the percent increase for the 20th century as a whole?
Choices:
600%
800%
1100%
1200%
Answer: C
Question: Find the least number which when divided by 6, 9, 14, 21 and 24 leaves 1, 4, 9, 16 and 19 as remainders respectively, but when divided by 17 leaves no remainder.
Choices:
1003
3277
278
181
Answer: A
Question: The probability that a visitor at the mall buys a pack of candy is 20%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy?
Choices:
.147
.189
.096
.027
Answer: C
Question: an operation * is defined by the equation:
a*b=a-b/a+b, for all numbers a and b such that a is not equal to -b, if a is not equal to -t and a*t=0, then =?
Choices:
b) -1/a
c) 1/a
d)0
e)a
Answer: D
Question: find the average of all the number between 6 and 34 which are divisible by 5.
Choices:
20
24
30
32
Answer: A
Question: Kevin purchased a house for Rs.61000 and a site for Rs.29000 respectively, if he sold the house for Rs.77000 and the site for Rs.19000, then find the resultant percentage of gain?
Choices:
6.66%
5.56%
6.65%
7.77%
Answer: A
Question: 1, 6, 13, 22, 33, ?
Choices:
46
35
65
31
Answer: A
Question: If Scott has earned 15 dollars by working 4 days a week at a constant daily rate for 1 weeks, which of the following represents his daily wage?
Choices:
1/60
15/1
15/3
15/4
Answer: D
Question: 8% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?
Choices:
4543
4400
2871
881
Answer: A
Question: Find the area of the quadrilateral of one of its diagonals is 24 cm and its off sets 9 cm and 6 cm?
Choices:
180 cm2
168 cm2
198 cm2
987 cm2
Answer: A
Question: On a wedding catering service, An experienced chef can prepare a service for a wedding in 4 hours while an novice chef would finish the preparations in 16 hours.
If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes?
Choices:
3
4
6
8
Answer: B
Question: If 8 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed?
Choices:
784
120
160
1260
Answer: A
Question: A coin is tossed three times. What is the probability that there is at the least one tail?
Choices:
7/8
31/18
31/10
31/19
Answer: A
Question: If X+Y = 2X+2Z, X-2Y = 2Z and X+Y+Z = 21, what is the value of Y/Z?
Choices:
-4.
-1.7.
3.
2.5.
Answer: A
Question: A, B and C enter into a partnership. A invests 3 times as much as B invests and 2/3 of what C invests. At the end of the year, the profit earned is Rs. 22000. What is the share of C?
Choices:
Rs. 3375
Rs. 6000
Rs. 5625
None of these
Answer: B
Question: Three photographers, Lisa, Mike and Norm, take photos of a wedding. The total of Lisa and Mikes photos is 60 less than the sum of Mike's and Norms. If Norms photos number 10 more than twice the number of Lisa's photos, then how many photos did Norm Take?
Choices:
50
60
110
80
Answer: C
Question: In a camp,there is a meal for 120 men or 200 children.If 110 children have taken the meal,how many men will be catered to with the remaining meal ?
Choices:
30
40
50
54
Answer: D
Question: How many keystrokes are needed to type numbers from 1 to 1000?
Choices:
2893
2704
2890
None of these
Answer: A
Question: A man invests in a 16% stock at 128. The interest obtained by him is
Choices:
42.5%
12.5%
62.5%
82.5%
Answer: B
Question: The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:
Choices:
289/290
290/289
289
None of these
Answer: B
Question: In the island of Hanoi is trapped a princess. To rescue her, the prince has to transfer a set of rings
numbered 1 to 7 from tower A to tower C. The rings are stacked one over the other in an order, with 1 at the top and 6 at the bottom, and have to be stacked in the same fashion on tower C. The prince can move only one ring at a time, and can store the rings in a stack, temporarily, in another tower B.Minimum how many moves of rings, between the towers, will it take the prince to arrange the rings in tower C ?
Choices:
13
15
16
17
Answer: A
Question: In how many ways a committee consisting of 5 women and 6 men can be formed from 8 women and 10 men?
Choices:
B)11450
C)11760
D)13250
E)12450
Answer: B
Question: Paul's income is 40% less than Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income is 40% less than Paul's income. If Rex gave 60% of his income to Sam and 40% of his income to Quentin, Quentin's new income would be what fraction of Sam's new income?
Choices:
11/12
13/19
12/19
11/19
Answer: A
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
4 years
6 years
8 years
10 years
Answer: B
Question: 12 points lie on a circle. How many cyclic quadrilaterals can be drawn by using these points?
Choices:
495
1980
none
Cannot be determined
Answer: A
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 36 sec. What is the length of the platform?
Choices:
350 m
289 m
299 m
25 m
Answer: D
Question: The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common?
Choices:
12 and 18
20 and 16
21 and 63
22 and 88
Answer: B
Question: Find the value of 15 + 2 â€¢ (8 â€“ 3)
Choices:
25
17
24
15
Answer: A
Question: 5 blue marbles, 3 red marbles and 4 purple marbles are placed in a bag. If 4 marbles are drawn without replacement, what is the probability that the result will not be 2 blue and 2 purple marbles?
Choices:
(5/36)^2
1/2
(31/36)^2
29/33
Answer: D
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choices:
12/455
14/160
8/79
2/546
Answer: A
Question: A restaurant spends one quarter of its monthly budget for rent and two thrid of the rest for food and beverages. What percentage of the budget does the restaurant spend for food and beverages?
Choices:
50%
35%
37.5%
75%
Answer: A
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 108 km/hr. What is the length of the platform?
Choices:
240
288
480
221
Answer: C
Question: One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?
I. 24
II. 20
III. 5
Choices:
II only
III only
II and III only
I, II and II
Answer: C
Question: A man took some money for borrowed, for 3 years the total will be Rs.5000 and 5 years it will be Rs.6000/-. Then how much amount he borrowed?
Choices:
s.2500/-
s.2770/-
s.2800/-
s.3500/-
Answer: D
Question: In june a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average?
Choices:
30
24
12
26
Answer: B
Question: For any 4 given numbers, which of the following is always equivalent to adding the 3 numbers together and then dividing the sum by 3?
I. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number.
II. Dividing each of the numbers by 3 and then adding the results together.
III. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9.
Choices:
I only
I and II only
II and III only
None of the above
Answer: A
Question: A train is 100 meter long and is running at the speed of 30 km per hour. Find the time it will take to
pass a man standing at a crossing.
Choices:
12 seconds
14 seconds
16 seconds
None of these
Answer: A
Question: In 1979 approximately 1/3 of the 37.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was 1/4 the number that used Kennedy Airport and 3 times the number that used Logan Airport, approximately how many millions of these passengers used Logan Airport that year?
Choices:
9.3
6.2
3.1
1.03
Answer: D
Question: In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket inchours, and the hot-water leak alone would fill the same bucket inhhours, wherec < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it tookthours to fill the bucket, which of the following must be true?
I. (c/2) < t < (h/2)
II. c < t < h
III. 0 < t < h
Choices:
b) II only
c) I and III
d) I and II
e) III only
Answer: B
Question: A certain boxer has agreed to pay his opponent a fee of 2.5% of his total purse for every pound over the specified weight limit he weighs in. If the boxer pays his opponent a fee of $26,250 after weighing in eight pounds over the specified limit, what was the boxer's purse?
Choices:
$105,000
$150,000
$131,250
$1,050,000
Answer: C
Question: The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
Choices:
94
184
364
None of these
Answer: C
Question: A triangle having three sides 10 cm, 17 cm, and 21 cm.A square is formed by one side lying on the longest side of the triangle.What is the maximum possible Area of the square found inside the triangle?
Choices:
168/29
188/28
198/28
198/29
Answer: A
Question: The difference between two numbers is 2395. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is
Choices:
239
476
523
526
Answer: B
Question: Five unbiased coin are tossed. What is the probability of getting atmost
one head?
Choices:
31/34
31/32
31/35
31/36
Answer: B
Question: if 8^25 divided by 7 then what is reminder
Choices:
1
0
2
3
Answer: A
Question: An integer n between 1 and 100, inclusive, is to be chosen at random. What is the probability that n(n+1) will be divisible by 4 ?
Choices:
1/3
1/2
2/3
5/6
Answer: B
Question: A can do a work in 15 days B in 14 days and C in 16 days . If they work on it together then in how many days required to complete the work?
Choices:
3360/21
3360/674
3360/240
3360/224
Answer: B
Question: (0.12)(power 3) - (0.1)(power 3)/ (0.12)(power 2) + 0.012 + (0.1)(power 2) is:
Choices:
0.086
0.86
0.068
None of them
Answer: D
Question: Find the no.of ways of arranging the boy and 3 guests at a circular table so that the boy always sits in a particular seat?
Choices:
3!
9!
10!
11!
Answer: A
Question: 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine the cask hold originally ?
Choices:
24 litres of wine
32 litres
42 litres
None
Answer: A
Question: January 1, 2008 is Tuesday. What day of the week lies on Jan. 1, 2009 ?
Choices:
Monday
Wednesday
Thursday
Friday
Answer: C
Question: A woman can row upstream 14 kmph and downstream 26 kmph. Find the rate of the stream and woman rate in still water.
Choices:
20,20
8,20
20,5
6,20
Answer: D
Question: Find the odd man out
2, 4, 8, 16, 24, 32,64
Choices:
4
24
32
64
Answer: B
Question: If 148 is multiplied first by 163 and then by 236, Which of the following numbers would come at the unit's place?
Choices:
6
4
3
None of these
Answer: B
Question: A pupil's marks were wrongly entered as 85 instead of 33. Due to that the average marks for the class got increased by half. The number of pupils in the class is :
Choices:
104
20
25
26
Answer: A
Question: If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678. Then the code for the word
"MANGO" would be
Choices:
89343
84629
82347
88347
Answer: C
Question: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
Choices:
9/27
9/20
9/22
9/21
Answer: B
Question: Amit and Ananthu can do a work in 10 days and 20 days respectively. Amit started the work and left after 2 days. Ananthu took over and completed the work. In how many days was the total work completed?
Choices:
18 days
23 days
25 days
27 days
Answer: A
Question: Ms. Williams sold two properties, X and Y, for $20,000 each. She sold property X for 20 % more than she paid for it and sold property Y for 20% less than she paid for it. If expenses are disregarded , what was her total net gain or loss, if any, on the two properties ?
Choices:
$1500.67
$1450.67
$1706.67
$1666.67
Answer: D
Question: A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Choices:
10/21
2/7
5/7
6/7
Answer: A
Question: A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
Choices:
120 sec
178 sec
665 sec
276 sec
Answer: A
Question: In how many ways can a cricket eleven be chosen out of a batch of
15 players ?
Choices:
1365
1536
3651
1366
Answer: A
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choices:
19%
18%
14%
16%
Answer: B
Question: hree unbiased coins are tossed. What is the probability of getting at least 2 tails?
Choices:
0.5
0.2
0.9
0.1
Answer: A
Question: In a weight-lifting competition, the total weight of Joe's two lifts was 1800 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?
Choices:
275
325
350
700
Answer: D
Question: Ashwin rented a power tool from a rental shop. The rent for the tool was $25 for the first hour and $10 for each additional hour. If Ashwin paid a total of $125, excluding sales tax, to rent the tool, for how many hours did she rent it?
Choices:
11
15
18
16
Answer: A
Question: A thief is noticed by a policeman from a distance of 220 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
Choices:
120
2987
278
271
Answer: A
Question: The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
Choices:
6
5
2
4
Answer: B
Question: The sum of money at compound interest amounts to thrice itself in 4 years. In how many years will it be 15 times itself?
Choices:
16 years
2 years
6 years
3 years
Answer: A
Question: A bag contains 3 red, 3 green and 3 white balls. Three balls are picked up one by one without replacement. What is the probability that there will be at least one red ball?
Choices:
11/14
16/21
19/28
23/35
Answer: B
Question: A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?
Choices:
7500
8900
9000
5000
Answer: A
Question: John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 12 minutes earlier. How far is the office from his house?
Choices:
3 1/5 Km
4 Km
5 1/5 Km
None
Answer: B
Question: Ten years ago, Q was half of R's age. If the ratio of their present ages is 3:4, what will be the total of their present ages?
Choices:
10
15
20
25
Answer: A
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240
987
178
171
Answer: A
Question: Rs.630/- distributed among A,B and C such that on decreasing their shares by RS.10,RS.5 and RS.15 respectively, The balance money would be divided among them in the ratio 3:4:5. Then, A’s share is:?
Choices:
Rs.160/-
Rs.180/-
Rs.190/-
Rs.200/-
Answer: A
Question: In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
Choices:
1668
5400
1688
1671
Answer: B
Question: If q>0.9, which of the following options can be the value of q?
Choices:
√(0.9)
0.09
0.9
0.9^3
Answer: A
Question: After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?
Choices:
20 days
10 days
12 days
15 days
Answer: A
Question: After deducting a commission of 5% a T.V. set costs Rs. 9595. Its gross value is ?
Choices:
Rs. 10074.75
Rs. 10100
None of these
Cannot be determined
Answer: B
Question: During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 105 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination?
Choices:
280
360
420
480
Answer: A
Question: A train traveling at 144 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds. What is the length of the platform in meters?
Choices:
360 meters
480 meters
600 meters
Cannot be determined
Answer: B
Question: Difference between the length &breadth of a rectangle is 10 m. If its perimeter is 80 m, then its area is??
Choices:
2340 m^2
375 m^2
2556 m^2
2534 m^2
Answer: B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
Choices:
23/35
23/18
23/17
23/12
Answer: A
Question: What values of 'x' will be the solution to the inequality 15x - 2/x > 1?
Choices:
x < 1/3
-1/3 < x < 0.4, x > 15/2
-1/3 < x < 0, x > 2/5
x < --1/3 or x > 2/5
Answer: C
Question: In case K is the only individual sewing on committee B, which among the following shouldserve on committee A?
Choices:
V and T
U and S
L and M
T and U
Answer: C
Question: What is the sum of digits of (5!*4!*3!*2! - 144*120)/5!
Choices:
4
12
3
7
Answer: C
Question: Find the distance covered by a man walking for 42 min at a speed of 10km/hr?
Choices:
7km
4km
5km
6km
Answer: A
Question: Which expression has the greatest value?
Choices:
1982466/1982469
1982487/1982490
1982456/1982459
1982465/1982468
Answer: B
Question: If positive integer k is divided by 14, the quotient is m and the remainder is 2, then which of the following must be true?
I. k + m is even
II. k cannot be a prime number
III. k is divisible by 4
Choices:
None
II
III
I and II only
Answer: A
Question: An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 44.5 meters. How many times did the ball bounce?
Choices:
4
7
8
9
Answer: A
Question: A can do a work in 24 days and B can do it in 8 days. In how many days A and B can do the work?
Choices:
10 days
6 days
8 days
7 days
Answer: B
Question: A gambler bought $5,000 worth of chips at a casino in denominations of $20 and $100. That evening, the gambler lost 16 chips, and then cashed in the remainder. If the number of $20 chips lost was 2 more or 2 less than the number of $100 chips lost, what is the largest amount of money that the gambler could have received back?
Choices:
$4,120
$1,960
$4,920
$1,400
Answer: A
Question: A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
Choices:
4/7
6/15
1/26
8/16
Answer: C
Question: What is the ratio whose term differ by 50 and the measure of which is 2/7?
Choices:
B)16:56
C)71:85
D)20:70
E)41:52
Answer: C
Question: The average (arithmetic mean) of 16 students first quiz scores in a difficult English class is 62.5. When one student dropped the class, the average of the remaining scores increased to 65.0. What is the quiz score of the student who dropped the class?
Choices:
b) 25
c) 40
d) 55
e) 70
Answer: A
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Choices:
38000
38028
38009
38019
Answer: A
Question: If $1092 are divided between worker A and worker B in the ratio 5:8,what is the share that worker B will get?
Choices:
61.54%
62.21%
62.76%
63.87%
Answer: A
Question: The public library has exactly 2 floors. It has 2/3 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 1/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor?
Choices:
9/10
5/9
9/14
5/6
Answer: A
Question: The two lines y = x and x = -4 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length E of a cube whose surface area is equal to 6z?
Choices:
E=8√2
E=8
E=2√2
(√2)/3
Answer: C
Question: The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
Choices:
52.9
52.8
52.1
52.2
Answer: B
Question: A straight line in the xy- plane has y-intercept of 79 and slope of 6. On this line the y-coordinate of the point is 14, then what is the X-coordinate of the point?
Choices:
-10.83
71
20.83
-12
Answer: A
Question: Find the value of * in the following
(1 5/3) ÷ 3/11 × */11 = (2 2/3 × 7/5 × 6/7)
Choices:
3.2
3.6
3.8
3.5
Answer: B
Question: A car covers a distance of 624 km in 4 hours. Find its speed?
Choices:
126 kmph
156 kmph
174 kmph
101 kmph
Answer: B