antoine-444/aqua_rat_dataset huggingface dataset:
Question: A set of numbers has the property that for any number x in the set, x+4 is also in the set. If -4 is in the set, which of the following must also be in the set
1. 0
2. -8
3. 8
Choices:
2 only
1 and 2 only
2 and 3 only
1,2 and 3
Answer: B
Question: A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
Choices:
7
9
6
5
Answer: A
Question: If 40% of a number is greater than 80% of 5 by 2, what is the number?
Choices:
15
20
2
5
Answer: A
Question: If a coin is flipped, the probability that the coin will land tails is 1/2. If the coin is flipped 5 times, what is the probability that it will land tails up on the first 2 flips and not on the last 3 flips?
Choices:
1/32
1/5
1/4
1/2
Answer: A
Question: If a is a positive integer then 4^(2a) + (64^a)/(2^(2a)) =
Choices:
16^16
8^15
2 × 16^a
18^a
Answer: C
Question: There are 5 locks and 5 keys and each of the 5 keys matches each of the 5 locks. What is the minimum and the maximum trial numbers of attempts needed to confirm that each of the 5 keys matches each of the 5 locks?
Choices:
4,15
5,10
4,10
5,20
Answer: C
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 19 months?
Choices:
18:15
18:19
18:121
19:11
Answer: D
Question: In the set of positive integers from 1 to 60, what is the sum of all the odd multiples of 5?
Choices:
180
190
160
165
Answer: A
Question: Two bus tickets from city A to B and three tickets from city A to C cost Rs. 154 but three tickets from city A to B and two tickets from city A to C cost Rs. 146. What are the fares for cities B and C from A ?
Choices:
s. 13, Rs. 17
s. 15, Rs. 14
s. 17, Rs. 13
s. 26, Rs. 34
Answer: D
Question: If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 206 m, what is its area?
Choices:
2520
2525
2025
2020
Answer: A
Question: If Yury has been writing programming code for 11 hours at a rate of 5 lines of code per 20 seconds, how many lines of code has he written?
Choices:
126(10^3)
12.6(10^5)
1.26(10^7)
99(10^2)
Answer: D
Question: The sum of five numbers is 750. The average of the first two numbers is 75 and the third number is 130. Find the average of the two numbers?
Choices:
225
230
235
240
Answer: C
Question: The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is?
Choices:
8369
4320
4356
3537
Answer: B
Question: If Jake loses 8 pounds, he will weigh twice as much as his sister Kendra. Together they now weigh 287 pounds. What is Jake’s present weight, in pounds?
Choices:
182
186
190
194
Answer: D
Question: A number x is mistakenly divided by 10 instead of being multiplied by 10. what is the percentage error in the result?
Choices:
-99%
+99%
+100%
None
Answer: A
Question: A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of
that item
Choices:
Rs. 760
Rs. 860
Rs. 960
None of these
Answer: C
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is?
Choices:
1/9
1/5
1/8
1/2
Answer: B
Question: An automobile parts supplier charges $25 per package of gaskets. When a customer orders more than 10 packages of gaskets, the supplier charges 4/5 the price for each package in excess of 10. During a certain week, the supplier sold 60 packages of gaskets. If 25 percent of the gaskets went to Company X, 15 percent to Company Y, and the rest to Company Z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets?
Choices:
1545
1375
1345
1455
Answer: C
Question: Cost is expressed by the formula tb^4. If b is doubled, the new cost is what percent T of the original cost?
Choices:
T=600
T=800
T=1600
T=50
Answer: C
Question: Find the value of 72519 x 9999 = m?
Choices:
674225565
570909643
725117481
768965324
Answer: C
Question: A is twice as good a workman as B and together they complete a work in 12 days. In how many days A alone can do the work?
Choices:
33
34
35
36
Answer: D
Question: In how many ways can a group of 4 men and 2 women be made out of a total of 6 men and 4 women?
Choices:
67
70
90
80
Answer: C
Question: What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, x
Choices:
31
23
35
39
Answer: C
Question: what is the angle between the hands of a clock when time is 10:20?
Choices:
90deg
45deg
15deg
30deg
Answer: A
Question: Two hoses are pouring water into an empty pool. Hose 1 alone would fill up the pool in 6 hours. Hose 2 alone would fill up the pool in 5 hours. How long would it take for both hoses to fill up two-thirds of the pool?
Choices:
5/8 hours
20/11 hours
12/7 hours
12/5 hours
Answer: B
Question: The difference between the simple interest and the compound interest (compounded yearly)earned on a sum of money at the end of four years at the rate of 10 percent per annum is Rs.256.40. Find the sum.
Choices:
Rs.4,000
Rs.5,000
Rs.4500
Rs.5500
Answer: A
Question: The cash realised on selling a 14% stock is Rs.105.25, brokerage being 1/4% is?
Choices:
106
102
105
122
Answer: C
Question: Tom began driving from home on a trip averaging 30 miles per hour. How many miles per hour must Carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after Tom?
Choices:
35
39
40
60
Answer: A
Question: The simple interest on Rs.12000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for five years at the same rate of interest?
Choices:
3052.22
3052.08
3052.8
3052.13
Answer: C
Question: The smallest number which when added to 4, the sum is exactly divisible by 24, 36, 48 and 60 is:
Choices:
716
256
299
111
Answer: A
Question: The sum of the first 50 positive even integers is 2550. What is the sum R of even integers from 102 to 200 inclusive?
Choices:
7550
10100
15500
20100
Answer: A
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 26 sec respectively. What is the speed of the train?
Choices:
23
52.8
79.2
67
Answer: B
Question: If Susan takes 10 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?
Choices:
10x/(60y)
60xy/10
xy/540
540x/y
Answer: A
Question: For how many values of M, is |||M - 5| -10| -5| = 2?
(Those ls are mods)
Choices:
2
4
8
More than 8
Answer: C
Question: Rakesh travelled 1800 kilometre by air which formed 3/5 of the total journey. He travels 1/4 of the trip by car and the remaining trip by train. Find the distance travelled by train.
Choices:
450
550
650
None of these
Answer: A
Question: If a(a - 6) = 27 and b(b - 6) = 27, where a ≠ b, then a + b =
Choices:
−2
6
46
48
Answer: B
Question: The average age of the mother and her six children is 12 years which is reduced by 5 years if the age
of the mother is excluded. How old is the mother
Choices:
41
42
43
44
Answer: B
Question: At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 34 years. What is the age of Deepak at present?
Choices:
15 years
21 years
88 years
55 years
Answer: B
Question: Audrey 4 hours to complete a certain job. Ferris can do the same job in 3hours. Audrey and Ferris decided to collaborate on the job, working at their respective rates. While Audrey worked continuously, Ferris took 2 breaks of equal length. If the two completed the job together in 2 hours, how many minutes long was each of Ferris’ breaks ?
Choices:
15
17
20
25
Answer: A
Question: Write 860,000,000,000 in scientific notation.
Choices:
8.6 * 10^11
8.900 * 10^11
80.9000* 10^11
08.900 * 10^11
Answer: A
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 40%?
Choices:
700
772
652
271
Answer: A
Question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.170. Find the unknown rate of two towels?
Choices:
B)650
C)500
D)550
E)600
Answer: A
Question: The simple interest on Rs.12000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for five years at the same rate of interest.
Choices:
3052.86
3092.8
3052.8
3052.81
Answer: C
Question: If the radius of a circle is increased by 12%, then the area of the circle
Choices:
increases by 25.44%
no change in area
decreases by 12%
none
Answer: A
Question: Which of the following is the Highest Common Factor of 121, 99 and 77?
Choices:
10
6
14
11
Answer: D
Question: A certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 120 miles at 60 mph?
Choices:
20%
27.27%
30%
40%
Answer: B
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
12 sec
77 sec
44 sec
11 sec
Answer: A
Question: John and Tony began business with Rs.12000 and Rs.14000 after 8 months, John withdraws Rs.2000 and Tony withdraws Rs.4000. At the end of the year, their profits amounted to Rs.4500 find the share of Tony.
Choices:
2375
2300
3375
3300
Answer: A
Question: If y is the smallest positive integer such that 7,700 multiplied by y is the square of an integer, then y must be
Choices:
58
63
74
77
Answer: D
Question: A completes a work in 3 days and B complete the same work in 6 days. If both of them work together, then the number of days required to complete the work will be?
Choices:
2 days
21 days
22 days
24 days
Answer: A
Question: The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member?
Choices:
40
60
70
80
Answer: A
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
8
6
5
1
Answer: A
Question: To asphalt 1km road, 30 men spent 12 days working 8 hours per day. How many days, 20 men will spend to asphalt a road of 2km working 10 hours a day?
Choices:
28.8
32
34
36
Answer: A
Question: Kiran is younger than Bineesh by 7 years and their ages are in the respective ratio of 7:9. How old is Kiran?
Choices:
24.5
23.5
25.5
26.5
Answer: A
Question: A can do a piece of work in 12 days. He worked for 15 days and then B completed the remaining work in 10 days. Both of them together will finish it in.
Choices:
12 1/2 days
12 1/3 days
10 1/3 days
11 1/2 days
Answer: A
Question: A man took loan from a bank at the rate of 5% p.a. S.I. After 13 years he had to pay Rs. 1300 interest only for the period. The principal amount borrowed by him was?
Choices:
4000
3500
2000
1000
Answer: C
Question: If A:B = 1/5: 1/3 B:C = 1/2:1/3 then A:B:C?
Choices:
9:6:8
9:6:2
9:6:4
9:15:10
Answer: D
Question: When x is even, [x] = x/2 + 1, when x is odd [x] = 2x + 1 then [7]*[8] = ?
Choices:
[44]
[75]
[88]
[90]
Answer: B
Question: there are two cubes with ratio between volume is 125:64. then what is the value of length of each cube?
Choices:
16:25
4:5
5:4
150:96
Answer: C
Question: A lemonade stand sold only small and large cups of lemonade on Tuesday. 3/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/24 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
Choices:
(b) 7/15
(c) 10/21
(d) 17/35
(e) 7/43
Answer: D
Question: Mark purchases a dozen items for $240.00. If Mark sells each item for $30.00 what is his markup%?
Choices:
50
75
100
125
Answer: A
Question: If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Choices:
1134
1240
1340
1365
Answer: D
Question: 45 x ? = 40% of 900
Choices:
4
5
500
8
Answer: D
Question: 5 percent of 255 =
Choices:
12.5
14.5
12.75
25
Answer: C
Question: A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is :
Choices:
40
39
37
38
Answer: A
Question: Find out the C.I on Rs.4000 at 4% p.a. compound half-yearly for 1 1/2 years
Choices:
244.83
306.04
306.03
306.01
Answer: A
Question: In a mixed college 160 students are there in one class. Out of this 160 students 3/5 students are girls. How many boys are there ?
Choices:
B)64
C)80
D)120
E)140
Answer: A
Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
Choices:
3m
9m
2m
4m
Answer: C
Question: 100 + 50 * 2 = ?
Choices:
200
100
300
400
Answer: A
Question: The G.C.D. of 1.08, 0.36 and 0.8 is:
Choices:
0.04
0.18
0.108
0.118
Answer: A
Question: If X = Y/Z, -1 < Z < 0 and 4 < Y, which of the following is correct?
Choices:
0 < X <4.
-4 < X < 0
X < -4.
X < -20
Answer: C
Question: A project scheduled to be carried out over a single fiscal year has a budget of $12,000, divided into 12 equal monthly allocations. At the end of the fourth month of that fiscal year, the total amount actually spent on the project was $4,540. By how much was the project over its budget?
Choices:
$540
$1,050
$1,380
$1,430
Answer: A
Question: Two trains travel in the same direction at the speeds of 56km/hr. and 29km/hr. respectively. The faster train passes a man in the slower trains in 10 seconds. The length of the faster train (in metres) is
Choices:
80
75
120
130
Answer: B
Question: One pump drains one-half of a pond in 6 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
Choices:
1.09 hour
3 hours
5 hours
6 hours
Answer: A
Question: A person got Rs.40 more when he invested a certain sum at compound interest instead of simple interest for two years at 10% p.a. Find the sum?
Choices:
4000
5000
4500
2671
Answer: A
Question: A farmer had d animals, all of which the farmer bought for the same price. The farmer decided to sell the animals. 14 of the animals were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, the farmer made neither a profit nor a loss. Which of the following is equal to d?
Choices:
21
27
33
36
Answer: A
Question: The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?
Choices:
10
11
09
03
Answer: B
Question: A chair is bought for Rs.800/- and sold at Rs.720/- find the loss percentage
Choices:
10% Loss
12% Loss
12% Gain
None of these
Answer: A
Question: What is the difference between the place value of 5 in the numeral 7559?
Choices:
160
180
190
450
Answer: D
Question: Thabo owns exactly 180 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: B
Question: By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
Choices:
Rs.455
Rs.487
Rs.480
Rs.489
Answer: C
Question: Out of 12 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
B)5/11
C)5/1
D)9/11
E)5/3
Answer: C
Question: The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the number is 12, find the other?
Choices:
600
120
200
150
Answer: A
Question: Find the odd man out. 8,40,42,60,96
Choices:
40
42
60
96
Answer: B
Question: 40 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Choices:
17.5
12.8
34.25
31.25
Answer: A
Question: A part-time employee whose hourly wage was increased by 15 percent decided to reduce the number of hours worked per week so that the employee's total weekly income would remain unchanged. By what percent should the number of hours worked be reduced?
Choices:
13.04
10
11
12
Answer: A
Question: 81*82*83*84*85*86*87*89. What should be in the unit place in this product?
Choices:
0
2
3
4
Answer: A
Question: At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $120. At the same place it would cost $162.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola?
Choices:
$35
$31
$41
It cannot be determined
Answer: A
Question: A number is selected at random from the first 40 natural numbers. What is the probability that the number is a multiple of either 2 or 21?
Choices:
21/40
7/15
4/15
11/30
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 27 seconds. Find the length of the train?
Choices:
876 meter
167 meter
450 meter
169 meter
Answer: C
Question: At what time between 7 and 8 o’clock will the hands of a clock be in the same straight line but, not together?
Choices:
5 2⁄11 min. past 7
5 3⁄11 min. past 7
5 5⁄11 min. past 7
None of these
Answer: C
Question: The average marks of 25 students in a class is 100. But a student mark is wrongly noted as 60 instead of 10 then find the correct average marks?
Choices:
B)82
C)98
D)91
E)85
Answer: B
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 48, the dividend is:
Choices:
5334
5336
5356
5808
Answer: D
Question: The average age of a college is 21.8 years. If the average age of students of college is 24.2 years and Average age of lecturers of college is 20.6 years. Find the ratio of the number of students to that of Lecturers?
Choices:
1:3
2:1
1:2
3:2
Answer: C
Question: If v = 4p, where p is a prime number greater than 2, how many different positive even divisors does v have, including v ?
Choices:
Three
Four
Six
Eight
Answer: B
Question: A car is running at a speed of 108kmph. What distance will it cover in 15sec?
Choices:
150m
200m
450m
500m
Answer: C
Question: Last year Manfred received 26 paychecks. Each of his first 6 paychecks was $750; each of his remaining paychecks was $40 more than each of his first 6 paychecks. To the nearest dollar, what was the average (arithmetic mean) amount of his pay checks for the year?
Choices:
$781
$765
$773
$775
Answer: A
Question: Eleven animals of a circus has to be placed inside in eleven cages one in each cage. If 4 of the cage are too small for 6 of the animal then find the number of ways of caging the animal.
Choices:
604800
502450
784200
302400
Answer: A
Question: Let n~ be defined for all positive integers n as the remainder when (n - 1)! is divided by n.
What is the value of 35~ ?
Choices:
0
2
8
31
Answer: A
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
277
245
997
232
Answer: B
Question: The last digit in the product (784 x 618 x 917 x 463) is?
Choices:
4
2
3
8
Answer: B
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
77
90
66
12
Answer: B
Question: If 6x^2 + x - 12 = (fx + b)(cx + d), then |f| + |b| + |c| + |d| =
For a complete solution and more practice problems, see this blog:
http://magoosh.com/gmat/2012/algebra-on ... to-factor/
Choices:
12
15
18
20
Answer: A
Question: A mobile battery in 1 hour charges to 20 percent.How much time (in minute) will it require more to charge to 55 percent.
Choices:
150
175
165
130
Answer: C
Question: The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 buildings numbered 1 to 1000 in base 8. How many 3s are used in numbering these buildings?Express your answer in base 10
Choices:
192
196
198
None
Answer: A
Question: In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates (2, 0), (6, 3), and (6, -3)?
Choices:
12
13
14
15
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:
1286
1987
8112
2781
Answer: C
Question: One-third less than 35% of 180 is equal to:
Choices:
30
35
42
45
Answer: C
Question: A hotel pays a food distributor d dollars for 6 pounds of Maine lobster. Each pound can make v vats of lobster bisque, and each vat makes b bowls of lobster bisque. If the cost of the lobster per bowl is an integer, and if v and b are different prime integers, then which of the following is the smallest possible value of d?
Choices:
36
45
50
55
Answer: A
Question: If the numbers 1 to 98 are written on 98 pieces of paper, (one on each) and one piece is picked at random, then What is the probability that the number drawn is neither prime nor composite?
Choices:
1/25
1/98
1
2
Answer: B
Question: The captain of a cricket team of 11 members is 25 years old and the wicket keeper is 3 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:
21 years
22 years
23 years
24 years
Answer: B
Question: A boat can move upstream at 25 kmph and downstream at 40 kmph, then the speed of the current is?
Choices:
6
7
7.5
32
Answer: C
Question: Listed below are the mean temperatures measured in the Tokharian desert in a certain month. What is the median temperature R in that particular month?
Mean Temp (C°) No. of days
29 --------------------> 5
30 --------------------> 11
31 --------------------> 8
32 --------------------> 6
Choices:
30
30.5
31
32
Answer: A
Question: In store A there are 10 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores B earned to the total amount store A earned?
Choices:
3:1
1:3.
3:4.
2:5.
Answer: A
Question: The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?
Choices:
Rs.877.40
Rs.901.60
Rs.815.20
None of these
Answer: A
Question: A customer using a certain telephone calling plan pays a fee of $25 per month, and then receives a discount of 40% on the regular charge for all calls made to country Z. If calls to country Z are regularly charged at $1.60 per minute for the first 3 minutes, and $0.80 per minute for each minute thereafter, what is the maximum the customer could have saved over regular prices if he was charged for 1 hour of calls made to country Z in a certain month?
Choices:
$12
$13.40
$17.40
$24.40
Answer: B
Question: A circular rim 28 inches in a diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes E revilutions per second, how many revilutions per minute does the larger rim makes in terms of E?
Choices:
b) 75m
c) 48E
d) 24E
e) E/75
Answer: B
Question: Let the polynomials be:
P1(x)=3x2−7x+6,
P2(x)=−5x2−4x+2,
P1(x)+P2(x)=
Choices:
-2x2 - 11x + 8
-2x2 - 11x + 6
2x2 - 9x + 7
None of these
Answer: A
Question: At a certain supplier, a machine of type A costs $30,000 and a machine of type B costs $65,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
Choices:
$6,600
$12,000
$12,800
$13,200
Answer: A
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 56 years now, the son's age five years back was:
Choices:
B)67
C)56
D)89
E)23
Answer: D
Question: John and Rose play the following game with n sticks on a table. Each must remove 1,2,3,4, or 5 sticks at a time on alternate turns, and no stick that is removed is put back on the table. The one who removes the last stick (or sticks) from the table wins. If John goes first, which of the following is a value of n such that Rose can always win no matter how John plays?
Choices:
10
11
12
16
Answer: C
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.1 km long?
Choices:
2 mins 34 sec
156 sec
134 sec
2 mins 44 sec
Answer: B
Question: 5: 3 = 4/3: x. The value of x is?
Choices:
2
3
4/5
5
Answer: C
Question: In what ratio mental A at Rs.68 per kg be mixed with another metal at Rs.96 per kg so that cost of alloy (mixture) is Rs.72 per kg?
Choices:
6:1
3:7
9:5
9:8
Answer: A
Question: A certain sum of money doubles itself in 20 years in how much many years will it trible itself at the same rate?
Choices:
76 years
88 years
40 years
11 years
Answer: C
Question: A train is running at a speed of 40 km/hr and it crosses a post in 22.5 seconds. What is the length of the train?
Choices:
160 metres
200 metres
120 metres
250 metres
Answer: D
Question: Which of the following must be an integer if the integer x is divisible by both 27 and 21?
Choices:
x/189
x/126
x/108
x/89
Answer: D
Question: In how many ways can live 2boys and 4 girls sit in a row such that all boys sit together?
Choices:
240
150
720
165
Answer: A
Question: David decides to attend a base ball game with six friends. If the party of seven sits together in seven consecutive seats, and David must NOT sit in between two of his friends, how many ways can the seven friends be arranged?
Choices:
180
90
720
1440
Answer: D
Question: A, B and C enter into a partnership. They invest Rs. 80,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
Choices:
6 : 4 : 7
6 : 4 : 2
6 : 4 : 1
6 : 4 : 5
Answer: A
Question: Two trains are running at 40 km/h and 20 km/h respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
Choices:
23 2⁄9 m
27 m
27 7⁄9 m
None of these
Answer: C
Question: 131,95,70,54, ?
Choices:
45
44
40
39
Answer: A
Question: Ram buys a plot of 5200 sq. ft. The cost of the Plot is Rs.48 per sq. ft.He has to pay 17% of the total cost as the booking cost for the plot.How much he has to pay as booking cost?
Choices:
Rs.42432
Rs. 42518
Rs. 42560
Rs. 52560
Answer: A
Question: A real estate agent received a 6% commission on the selling price of a house. If his commission was $8,880, what was the selling price of the house?
Choices:
$227,000
$148,000
$479,000
$337,000
Answer: B
Question: If w = (x – 5)^2 + (x + 1)^2 – 6, then y is least when x =
Choices:
-1
0
2
None of the above
Answer: C
Question: What annual instalment will discharge a debt of Rs 1092 due in 3 years at 12% simple interest?
Choices:
Rs.325
Rs.560
Rs.550
Rs.450
Answer: A
Question: If a real number x is chosen at random in the interval [0,4] and a real number y is chosen at random in the interval [0,5], what is the probability that x < y?
Choices:
3/5
7/10
3/4
2/3
Answer: A
Question: List I: 3, 4, 6, 19
List II: x, 3,4, 6, 19
Choices:
7
8
9
5
Answer: D
Question: How many Books each of Volume 250 meter cube can be packed into a crate of volume 4500 meter cube
Choices:
cannot be determined
10
15
20
Answer: A
Question: If 8^x = 2^18, what is x?
Choices:
3
4
5
6
Answer: D
Question: A company has 15 managers and 75 associates. The 15 managers have an average salary of $60,000. The 75 associates have an average salary of $30,000. What is the average salary for the company?
Choices:
$35,000
$55,000
$65,000
$75,000
Answer: A
Question: If p=n-8 , m=n+10; then in terms of p,m is ?
Choices:
m= p+18
m= p-18
m= p-8
m= p+1
Answer: A
Question: When asked what the time is,a person answered that the amount of time left is 2/6 of the time already completed.what is the time.
Choices:
9 PM
3 PM
6 PM
7 PM
Answer: C
Question: Linda spent 2/4 of her savings on furniture and the rest on a TV. If the TV cost her $300, what were her original savings?
Choices:
$300
$600
$700
$800
Answer: B
Question: 617 + 6.017 + 0.617 + 6.0017 = ?
Choices:
62963.57
62.96357
629.6357
None of these
Answer: C
Question: All the stocks on the over-the-counter market are designated by either a 2 letter or 3 letter codes that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Choices:
26(26^4)
27(26^2)
26(26^5)
27(26^5)
Answer: B
Question: The simple interest on Rs.13000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for two years at the same rate of interest.
Choices:
3039.89
3052.85
3039.51
3039.82
Answer: C
Question: If x^2 + 1/x^2 = 3,what is the value of x^4 + 1/x^4 ?
Choices:
7
14
16
18
Answer: A
Question: The value of x + x(xx) when x = 2
Choices:
10
18
36
64
Answer: A
Question: A software programmer does 20% of the work in 60% of the time, and 80% of the work in the remaining 20% of the time. If the code he writes is X lines long and he was given one month (30 days) to accomplish the task, then, assuming that the programmer works at a constant rate in each of the two stages, How many lines of code were written in the last two weeks, in terms of X?
Choices:
15x/15
7x/15
2x/30
13x/30
Answer: C
Question: Find the area of a rhombus one side of which measures 20 cm and one diagonal is 24 cm.
Choices:
365 cm2
380 cm2
384 cm2
394 cm2
Answer: C
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
Choices:
3
4
9
2
Answer: A
Question: The value of x + x(xx) when x = 7 is:
Choices:
10
350
14
16
Answer: B
Question: A 4-letter code word consists of letters A, B. If the code includes all the three letters, how many such codes are possible?
Choices:
12
36
24
18
Answer: A
Question: A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
Choices:
14 days
24 days
145 days
78 days
Answer: B
Question: If a 2 cm cube is cut into 1 cm cubes, then what is the percentage increase in the surface area of the resulting cubes?
Choices:
100%
150%
200%
250%
Answer: A
Question: A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
Choices:
726
800
278
298
Answer: B
Question: The ratio of pens to pencils is 5 to 6. There are 7 more pencils than pens. How many pencils are there?
Choices:
42
48
55
64
Answer: A
Question: In a sports club with 30 members, 17 play badminton and 17 play tennis and 2 do not play either. How many members play both badminton and tennis?
Choices:
6
9
10
11
Answer: A
Question: Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in
Choices:
8
4
3
1
Answer: C
Question: What is the units digit of (147^21)^48 ?
Choices:
1
5
7
9
Answer: A
Question: There are 10 person among whom two are brother. The total number of ways in which these persons can be seated around a round table so that exactly one person sit between the brothers , is equal to:
Choices:
2!*7!
3!*7!
3!*8!
None of these
Answer: A
Question: Express a speed of 414 kmph in meters per second?
Choices:
114 mps
118 mps
115mps
111 mps
Answer: C
Question: Ramesh purchased a refrigerator for Rs. 13500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
Choices:
26888
2899
18975
12778
Answer: C
Question: By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at:
Choices:
Rs. 96
Rs. 106
Rs. 108
Rs. 118
Answer: A
Question: Of the four-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?
Choices:
6048
7248
1448
2168
Answer: A
Question: The average weight of 8 persons increases by 5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?
Choices:
65 kg
55 kg
85 kg
105 kg
Answer: D
Question: Yali builds a tower using only red, green, and blue toy bricks in a ratio of 4:3:1. She then removes 1/2 of the green bricks and adds 1/3 more blue bricks, reducing the size of the tower by 14 bricks. How many red bricks will she need to add in order to double the total number of bricks used to build the original tower?
Choices:
96
110
120
192
Answer: D
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
Choices:
1 : 96
1 : 98
1 : 99
1 : 93
Answer: A
Question: Gao earns $25.00 for each house she cleans. She refuses to work weekends. Monday she cleaned 2 houses 1 on Tuesday and only 3 more for the rest of the week. How much money did Gao earn this week?
Choices:
$160
$170
$165
$135
Answer: A
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
70 Kmph
72 Kmph
75 Kmph
73 Kmph
Answer: B
Question: Three boys, two girls, and two women are to be seated on a bench. If one specific boy must be seated on one of the end seats, and one specific girl must me seated exactly in the middle, find the number of possible arrangements Q.
Choices:
b) Q=144
c) Q=240
d) 288
e) 120
Answer: B
Question: The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?
Choices:
8
16
12
14
Answer: A
Question: An empty wooden vessel weighs 8% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
Choices:
5/9
1/24
4/9
3/7
Answer: D
Question: If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocal of the numbers is equal to:
Choices:
601/55
11/120
120/11
120/13
Answer: B
Question: In what time will a railway train 90 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
1 sec
9 sec
6 sec
2 sec
Answer: B
Question: Dawson professes to sell his goods at the cost price but he made use of 600 grams instead of a kg, what is the gain percent?
Choices:
14 2/3%
15 2/3%
16 2/3%
17 2/3%
Answer: C
Question: Three friends (Fred, James and Kelly) are employees of a company. Their respective salaries are in the ratio of 4 : 6 : 7. James and Kelly's salaries together is Rs. 8840. By what percent is Kelly's salary than that of Sarah?
Choices:
60%
90%
70%
80%
Answer: C
Question: In order to complete a reading assignment on time, Terry planned to read 100 pages per day. However, she read only 50 pages per day at first, leaving 800 pages to be read during the last 6 days before the assignment was to be completed. How many days in all did Terry have to complete the assignment on time?
Choices:
14
16
10
18
Answer: C
Question: P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
Choices:
8/15
6/15
5/15
4/15
Answer: A
Question: Given that x = 2^b – (8^32 + 16^5), which of the following values for b yields the lowest value for |x|?
Choices:
95
96
97
116
Answer: B
Question: In how many ways can the letters of the word "COMPUTER" be arranged?
Choices:
40320
44290
48360
52810
Answer: A
Question: Alex deposited x dollars into a new account that earned 4 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ?
Choices:
w/(1.08+1.16)
w/(1.16+1.24)
w/(1.04+1.04^2)
w/(1.08^2+1.08^2)
Answer: C
Question: Two-fifth of one-third of three-seventh of a number is 15. What is 40% of that number?
Choices:
84
136
140
None of these
Answer: D
Question: A certain bacteria colony doubles in size every day for 22 days, a which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit?
Choices:
7.5 
21
15 
19 
Answer: B
Question: A toy store sells small, medium, and large toy trucks in each of the colors red, green, and yellow. The store has an equal number of trucks of each possible color-size combination. If Paul wants a medium, red truck and his mother will randomly select one the trucks in the store, what is the probability that the truck she selects will have at least one of the two features Paul wants?
Choices:
1/3
5/9
7/12
2/3
Answer: B
Question: A sales representative receives a salary of $100 per week and earns a commission of 20% on all sales she makes. How many dollars’ worth of sales does she need to make in order to bring her total weekly income to $600?
Choices:
$3,150
$4,000
$2,500
$5,000
Answer: C
Question: Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 496.80?
Choices:
27
20
21
12
Answer: B
Question: The perimeter of one face of a cube is 48 cm. Its volume will be:
Choices:
400cm3
250cm3
625cm3
None of these
Answer: D
Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Choices:
14 sec
48 sec
87 sec
25 sec
Answer: B
Question: 30% of a number is more than 60% of 50 by 30. Find the number?
Choices:
200
180
300
140
Answer: A
Question: N and B are integers. The expression (N+1)(B+1) is even. What can be said about N and B?
Choices:
At least one of them is even.
At least one of them is odd.
They are both odd.
Nothing can be said surly on N and B
Answer: B
Question: 15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
Choices:
87
30
99
77
Answer: B
Question: If log4X + log4(1/6) = 1/2 then the value of X is?
Choices:
24
16
12
10
Answer: C
Question: A car after covering ½ of a journey of 100 km develops engine trouble and later travels at ½ of its original speed. As a result, it arrives 2 hours late than its normal time. What is the normal speed of the car is?
Choices:
67
88
25
12
Answer: C
Question: Sum of the squares of 3 no.'s is 138 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
20
26
28
30
Answer: A
Question: A certain manufacturer of cake, muffin, and bread mixes has 120 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
Choices:
b. 3/10
c. 1/4
d. 7/10
e. 9/10
Answer: B
Question: Jason's team scored 60 points in a game basketball and he accounted for 60 percent of their points. How much did he score?
Choices:
38
36
44
40
Answer: B
Question: It is well known that a triangle’s area is √(p(p-a)(p-b)(p-c)),
when p=(a+b+c)/2, such that a, b, c are the lengths of sides of the triangle. If the triangle has 360, 300, and 360 as the side’s lengths, what is the triangle’s area?
Choices:
36,200
38,200
49,089
43,200
Answer: C
Question: The number 0.5 is how much greater than 1/3 ?
Choices:
1/6
1/50
1/500
2/500
Answer: A
Question: If E and F are non-zero integers, and E/F > 1, then which of the following must be true?
Choices:
EF>F
E^2< F^2
2E< F
E^3 < F^3
Answer: A
Question: A rectangular field is to be fenced on three sides leaving a side of 10 feet uncovered.If the area of the field is 600 sq.ft, how many feet of fencing will be required ?
Choices:
130feet
20feet
15feet
10feet
Answer: A
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
Choices:
1/215
1/216
2/113
3/114
Answer: B
Question: In measuring the sides of a rectangle, one side is taken 5% in excess, and the other 4% in deficit. Find the error percent in the area calculated from these measurements.
Choices:
0.4%
0.6%
0.8%
1%
Answer: C
Question: If 2x + y = 5 and 3x-2y = 7, then what is the value of 5x - y?
Choices:
3
15
52/7
12
Answer: D
Question: x is the 9 digit largest number(digits are 1 to 9 with out repeat) which is divisible by 11 and y second largest number which also divisible by 11 then difference between x and y is?
Choices:
170
188
198
208
Answer: C
Question: For what value of x, is |x – 5| + |x + 4| + |x| = 14?
Choices:
3
4
-4
5
Answer: D
Question: A and B together can do a piece of work in 4 days. If A alone can do the same work in 20 days, then B alone can do the same work in?
Choices:
0.45 days
0.55 days
0.25 days
0.2 days
Answer: D
Question: If K is the sum of reciprocals of the consecutive integers from 13 to 18, inclusive, then K is closest in value to which of the following?
Choices:
1/3
1/7
1/6
1/4
Answer: A
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
23
72
27
26
Answer: B
Question: (18.6 x 17.2 ÷ 0.6) x 27.5 = ?
Choices:
14678
12708
14663
15688
Answer: C
Question: Pradeep has to obtain 35% of the total marks to pass. He got 185 marks and failed by 25 marks. The maximum marks are
Choices:
600
800
1000
900
Answer: A
Question: 20 women can do a work in 9 days. After they have worked for 6 days. 6 more men join them. How many days will they take to complete the remaining work?
Choices:
4:3
4:5
4:1
4:4
Answer: A
Question: The average weight of a class is x pounds. When a new student weighing 70 pounds joins the class, the average decreases by 1 pound. In a few months the student’s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds. None of the other students’ weights changed. What is the value of x?
Choices:
26
88
90
92
Answer: A
Question: Buses A and B start from a common bus stop X. Bus A begins to travel in a straight line away from bus B at a constant rate of 20 miles per hour. One hour later, bus B begins to travel in a straight line in the exact opposite direction at a constant rate of 80 miles per hour. If both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus B to cover the exact distance that bus A has covered and the amount of time it takes bus B to cover twice the distance that bus A has covered?
Choices:
72
132
144
180
Answer: B
Question: John can complete a given task in 18 days. Jane will take only 12 days to complete the same task. John and Jane set out to complete the task by beginning to work together. However, Jane was indisposed 6 days before the work got over. In how many days did the work get over from the time John and Jane started to work on it together?
Choices:
34/5
44/5
54/5
12
Answer: C
Question: A rower can row upstream at 15 kph and downstream at 30 kph. What is the speed of the rower in still water?
Choices:
21.3
21.7
22.1
22.5
Answer: D
Question: A man counted his animals, 80 heads and 230 legs (ducks and goats). how many goats are there?
Choices:
30
50
60
70
Answer: A
Question: In how many ways, a committee of 5 members can be selected from 5 men and 5 ladies, consisting of 3 men and 2 ladies?
Choices:
152
100
200
212
Answer: B
Question: if a no. is divided by 342 then remainder is 47.then if that no. is divided by 18 then what will be the remainder?
Choices:
11
13
14
15
Answer: A
Question: P is three times as fast as Q and working together, they can complete a work in 19 days. In how many days can Q alone complete the work?
Choices:
27 1/4 days
25 1/4 days
14 days
10 days
Answer: B
Question: Pipe A can fill a tank in 5 hours. Due to a leak at the bottom, it takes 10 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choices:
10
18
26
12
Answer: A
Question: A and B walk around a circular track. A and B walk at a speed of 4 rounds per hour and 4 rounds per hour respectively. If they start at 6 a.m. from the same point in opposite directions, how many times shall they cross each other before 7.00 a.m.?
Choices:
5
4
8
10
Answer: C
Question: James is stacking piles of bricks. He has 2 in the first row and then one more in each row after that. If there are 20 rows all together, how many bricks are in the pile?
Choices:
243
255
242
2200
Answer: C
Question: A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many W ways can the test be completed if every question is unanswered?
Choices:
120
625
720
1024
Answer: B
Question: The average age of a husband and a wife is 23 years when they were married FOUR years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
Choices:
9 years
6 years
4 years
5 years
Answer: B
Question: Amy's sells kale at x dollar per pound for the first 25 pounds and .8x for every subsequent pound. Lucia's price is x per pound for the first 14 pounds and .9x for subsequent pounds. What is the minimum number of pounds over 15 for which Amy's becomes an equal or better deal?
Choices:
25
36
27
28
Answer: B
Question: 4 brothers and 3 sisters is to be arranged in a row for a photograph. In how many ways can they be seated if all the sisters sit together?
Choices:
820 ways
620 ways
720 ways
420 ways
Answer: C
Question: The ratio of present ages of X and Y is 4:5. Which of the following cant be the ratio of ages of X and Y, 20 years ago?
Choices:
9:10
2:3
3:5
3:6
Answer: A
Question: What is the greatest integer m for which the number 50!/14^m is an integer?
Choices:
10
9
8
7
Answer: C
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30
88
29
26
Answer: A
Question: The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:
Choices:
0.04
0.4
0.0004
None of them
Answer: A
Question: 2/5 of the fish in an aquarium are red and 1/4 of the fish are brown. 1/4 of the red fish and 2/5 of the brown fish are male. If the rest of the fish in the aquarium are female, what is the probability that a fish randomly picked from the aquarium is male?
Choices:
1/5
1/10
1/12
1/20
Answer: A
Question: If x is the product of three consecutive positive integers, which of the following must be true?
I. x is an integer multiple of 5.
II. x is an integer multiple of 3
III. x is an integer multiple of 6
Choices:
b) II only
c) I and II only
d) I and III only
e)II and III only
Answer: D
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.300 and C's share is Rs.130, what is B's capital?
Choices:
12798
6166
11750
22073
Answer: B
Question: If 10/b + 20/b + 30/b is an integer, which of the following must also be an integer?
Choices:
b/16
60/b
4b
4+b
Answer: B
Question: The president of a country and 2 other dignitaries are scheduled to sit in a row on the 3 chairs represented above. If the president must sit in the center chair, how many different seating arrangements are possible for the 3 people?
Choices:
5
20
24
2
Answer: D
Question: There are 7 people and 7 chairs. In how many different ways people can occupy the chairs?
Choices:
5040
3400
6766
120
Answer: A
Question: What is the next number in the sequence below?
1 4 9 16 25 36 __ ?
Choices:
46
47
48
49
Answer: D
Question: The compound ratio of 1:2, 2:5 and 3:10?
Choices:
1:5
3:5
1:50
3:50
Answer: D