antoine-444/aqua_rat_dataset huggingface dataset:
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
1/455
1/457
1/459
1/452
Answer: A
Question: Nine people are on an elevator that stops at exactly 9 floors. What is the probability that exactly one person will push the button for each floor?
Choices:
9!/9^9
9/9!
9/9^9
1/9^9
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
667 m
240 m
176 m
197 m
Answer: B
Question: A sum was put a simple interest at a certain rate for 4 years. Had it been put at 3% higher rate, it would have fetched Rs. 120 more. The sum is:
Choices:
s.1000
s.1250
s.1500
s.1750
Answer: A
Question: Vijay bought 160 shirts at the rate of Rs. 265 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
Choices:
Rs. 333
Rs. 277.5
Rs. 285
None of these
Answer: A
Question: If x, 5, 6, 7 are there and the range and median of them are the same, what is the value of x?
Choices:
1
6
3
4
Answer: B
Question: The triplicate ratio of 1:4 is?
Choices:
1:8
1:3
1:64
1:2
Answer: C
Question: If y exceeds x by 25%, then x is less than y by?
Choices:
80%
87%
20%
28%
Answer: B
Question: One week a certain truck rental lot had a total of 20 trucks, all of which were on the lot Monday morning. If 50 percent of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 12 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week?
Choices:
16
12
8
4
Answer: A
Question: From the given equation find the value of B: BÂ² + 1B - 56
Choices:
5
8
12
4
Answer: B
Question: What is 12.5 % of 4/12 of 600?
Choices:
25
30
27
28
Answer: A
Question: If Raj was one-third as old as Rahim 5 years back and Raj is 17 years old now, How old is Rahim now?
Choices:
41
36
48
54
Answer: A
Question: If x/|y| = -1 which of the following must be true?
Choices:
x^3 = y^3
x^4 = y^4
x^5 = y^5
x^2 = y^2
Answer: D
Question: The cost of 2 benchs and 3 tables is Rs.1300. The cost of 3 benchs and 2 tables is Rs.1200. The cost of each table is more than that of each bench by?
Choices:
200
100
400
600
Answer: B
Question: For any number Z, Z* is defined as the greatest positive even integer less than or equal to y. What is the value of 6.45 – 6.45*?
Choices:
0.45
6.45
0.25
6.0
Answer: A
Question: If the cost price is 75% of selling price then what is the profit percentage.
Choices:
31.33
32.33
33.33
34.33
Answer: C
Question: In the graph below, no axes or origin is shown. If point B's coordinates are (12,3), which of the following coordinates would most likely be A's?
Choices:
(17, -2)
(6, 8)
(-10, 3)
(-2, -17)
Answer: A
Question: Find the value of x. (47% of 1442 - 36% of 1412) + 61 = x?
Choices:
2
3
4
5
Answer: A
Question: There are 30 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?
Choices:
30
435
60
90
Answer: B
Question: In a certain random experiment, exactly one of the outcomes A, B, and V will occur. In each random experiment, the probability that outcome A will occur is 1/3 , and the probability that outcome B will occur is 1/3. What is the probability that when the random experiment is conducted 6 independent times, each of outcomes A, B, and V will occur twice?
Choices:
1/12
10/81
1/6
16/81
Answer: B
Question: Prove that if a and b are different integers, then there exist infinitely many positive integers n such that a+n and b+n are relatively prime.
Choices:
4
3
2
(a+n, b+n) = 1
Answer: D
Question: While calculating the edge of a square, a worker makes an error of 2% in excess. What % error does he make in calculating area? (%)
Choices:
4.0
4.04
4.02
4.01
Answer: B
Question: 3, 22, 7, 45, 15, ?, 31 Complete the series
Choices:
91
93
94
95
Answer: A
Question: Find the value of y from (12)^2 x 6^4 ÷ 432 = y?
Choices:
2234
2540
2560
432
Answer: D
Question: A train 120 m long running at 60 kmph crosses a platform in 20 sec. What is the length of the platform?
Choices:
213
350
726
267
Answer: A
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Choices:
2876
4500
2981
2711
Answer: B
Question: A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 150 kilometers?
Choices:
2.7 gallons
5.75 gallons
3.75 gallons
7.50 gallons
Answer: C
Question: The schedule of G first year students was inspected. It was found that M were taking a Mathematics course, L were taking a Language course and B were taking both a Mathematics course and a Language course. Which of the following expression gives the percentage of the students whose schedule was inspected who were taking neither a mathematics course nor a language course?
Choices:
100 x (B+L+M)/G
100 x (G-L-M)/G
100 x (G-B-L-M)/G
100 x (G+B-L-M)/G
Answer: D
Question: Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 12 minutes earlier than usual. How much time did the man spend walking?
Choices:
50 minutes
40 minutes
54 minutes
35 minutes
Answer: C
Question: There are 5 different letters and 5 letter boxes of same size shape and colors. How many method are possible to post the letters?
Choices:
51
52
53
54
Answer: B
Question: A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 2:3:4.
Choices:
50p coins = 400 20p coins = 600 10p coins = 800
50p coins = 400 20p coins = 600 10p coins = 780
50p coins = 400 20p coins = 608 10p coins = 800
50p coins = 400 20p coins = 600 10p coins = 820
Answer: A
Question: The difference of two numbers is 1360. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Choices:
270
295
360
269
Answer: D
Question: The rate of a certain chemical reaction is directly proportional to the concentration of chemical B present and inversely proportional to the concentration of chemical A present. If the concentration of chemical B present is increased by 50 percent, which of the following is closest to the percent change in the the concentration of chemical B required to keep the reaction rate unchanged.
Choices:
30% decrease
40% decrease
50% increase
60% increase
Answer: C
Question: Ace Transport has acquired two trucks to carry different types of cargo. One costs $70,000; the other costs $52,000. The company expects that the first will last 165,000 miles, after which it can be sold for salvage for about $4,000. The other will fetch the same salvage price, but will last 200,000 miles. The two trucks convoy together, so they always show the same mileage readings. If the value of each truck declines at different constant rates for every mile driven, at what mileage reading will the residual values of the two trucks be equal?
Choices:
100,000 miles
107,750 miles
112,500 miles
The residual values will never be equal.
Answer: C
Question: An association of mathematics teachers has 1,260 members. Only 560 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast?
Choices:
26.67%
42%
34%
25%
Answer: A
Question: Out of 450 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket ?
Choices:
100
125
150
None of these
Answer: A
Question: ?% of 360 = 129.6
Choices:
36
64
72
None of these
Answer: A
Question: Factory X's bulbs work for over 5000 hours in 79% of cases, whereas factory Y's bulbs work for over 5000 hours in 85% of cases. It is known that factory X supplies 80% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 5000 hours?
Choices:
80.2%
87.4%
85%
83.9%
Answer: A
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
Choices:
3500
4000
4500
5000
Answer: B
Question: If the sum of 5 consecutive integers is x, which of the following must be true?
I. x is an even number
II. x is an odd number
III. x is a multiple of 6
Choices:
II only
None
I and III
II and III
Answer: B
Question: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
Choices:
Monday
Sunday
Friday
Wednesday
Answer: B
Question: The points A(0, 0), B(0, 4a - 5) and C(2a + 1, 2a + 5) form a triangle. If angle ABC = 90, what is the area of triangle ABC?
Choices:
82.5
78.5
75.5
74
Answer: A
Question: The price of a jacket is reduced by 25%. During a special sale the price of the jacket is reduced another 15%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
Choices:
35
48
56.8
67.5
Answer: C
Question: A lady has fine gloves and hats in her closet- 25 blue, 7 red, and 9 yellow. The lights are
out and it is totally dark. In spite of the darkness, she can make out the difference between
a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a
glove. How many gloves must she take out to make sure she has a pair of each color?
Choices:
36
38
39
40
Answer: A
Question: If x is the sum of six consecutive integers, then x is divisible by which of the following:
I. 3
II. 4
III. 6
Choices:
I only
III only
I and III
I, II, and III
Answer: A
Question: he average of 5 numbers is zero. Of them, at the most, how many may be greater than zero?
Choices:
4
10
19
8
Answer: B
Question: if a@b = a * b^(1/2) then 3@9 = ?
self made
Choices:
6
3
8
9
Answer: D
Question: If we want to choose out of 6 consonants and 4 vowels, how many words of 3 consonants and 3 vowels can be formed?
Choices:
720
9002
57600
12130
Answer: C
Question: A train covers a distance in 50 minutes, if it runs at a speed of 48kmph on an average. Find the speed
at which the train must run to reduce the time of journey to 40 minutes
Choices:
60 km/hr
65 km/hr
70 km/hr
None of these
Answer: A
Question: If A:B=4:7 AND B:C=5:9,THEN A:C=?
Choices:
18:37
16:53
20:63
15:48
Answer: C
Question: A car started running at a speed of 28 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.
Choices:
37 km
25 km
15 km
30 km
Answer: A
Question: A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 153, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?
Choices:
33
55
27
88
Answer: C
Question: Three consecutive odd integers are in increasing order such that the sum of the last two integers is 19 more than the first integer. Find the three integers?
Choices:
7, 2, 10
7, 9, 10
7, 9, 11
13,15,17
Answer: D
Question: The standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 46. What is a possible value for the mean of the distribution?
Choices:
52
48
49
50
Answer: A
Question: Health insurance Plan P requires the insured person to pay $500 but then the insurance pays 80% of the cost over $500. Plan Q requires the insured to pay the initial $300, but then pays 60% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount?
Choices:
$1100
$2200
$2800
$3300
Answer: A
Question: The contents of a certain box consist of 14 apples and 25 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?
Choices:
6
14
19
20
Answer: C
Question: What is the tens digit of 7^545?
Choices:
1
2
3
0
Answer: D
Question: Working together, printer A and printer B would finish the task in 24 minutes. Printer A alone would finish the task in 60 minutes. How many pages does the task contain if printer B prints 6 pages a minute more than printer A ?
Choices:
800
1000
720
1500
Answer: C
Question: The sector of a circle has radius of 20 cm and central angle 135o. Find its perimeter?
Choices:
87.1
91.7
91.3
91.1
Answer: A
Question: If books bought at prices ranging from Rs. 250 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling eight books ?
Choices:
1400
1800
2778
76611
Answer: A
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 12% per annum then the gain of B in a period of 3 years is?
Choices:
210
220
225
230
Answer: A
Question: Ten years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages
Choices:
35
45
25
65
Answer: A
Question: There are 40 doors marked with numbers 1 to 40. And there are 40 individuals marked 1 to 40.
An operation on a door is defined as changing the status of the door from open to closed or vice versa. All doors are closed to start with.
Now one at a time one randomly picked individual goes and operates the doors. The individual however operates only those doors which are a multiple of the number he/she is carrying. For e.g. individual marked with number 5 operates the doors marked with the following numbers: 5, 10, 15,... and 40.
If every individual in the group get one turn then how many doors are open at the end?
Choices:
1
2
4
6
Answer: D
Question: If x/y =1/4, then (x-y)/x?
Choices:
-1
-3
1/2
4
Answer: B
Question: A positive integer n is a perfect number provided that the sum of all the positive factors of n, including 1 and n, is equal to 2n. What is the sum of the reciprocals of all the positive factors of the perfect number 28?
Choices:
56/27
2
3
4
Answer: B
Question: what is the least number. which should be added to 0.0282 to make it a perfect square?
Choices:
0.0007
0.0002
0.0003
0.0004
Answer: A
Question: Given that 2x + 17 > 5 and 5x - 13 < 7, all values of x must be between which of the following pairs of integers?
Choices:
-1 and 4
-4 and 1
-6 and 4
2 and 5
Answer: C
Question: For the positive numbers, n, n + 2, n + 4, n + 6, and n + 8, the mean is how much greater than the median?
Choices:
1
0
n+2
n+3
Answer: B
Question: if 7v passes to that wire and a current of 260mA then find the resistance
Choices:
26.9
28.9
29.9
30.9
Answer: A
Question: Every digit of a number written in binary is either 0 or 1. To translate a number from binary, multiply the nth digit (reading from right to left) by 2^(n-1)
What is the largest prime number (written in binary) that is a factor of both 100010000 and 1000100000 ?
Choices:
11
101
1011
10001
Answer: D
Question: An urn contains 5 red, 6 blue and 8 green balls. 4 balls are randomly selected from the urn, find the probability that the drawn ball are 1 blue and 2 red and 1 green balls ?
Choices:
40/323
60/273
50/373
40/373
Answer: A
Question: In a garden, trees are planted in rows. In each row there are as many trees as the number of rows in the garden. If the total number of trees in that garden is n, then :
Choices:
n is a perfect square
n is an even number
n is a perfect cube.
none
Answer: A
Question: A glucose molecule contains 6 carbon, 12 hydrogen and 6 oxygen atoms. During photosynthesis, green plants create glucose daily. If, over a period of 15 days, an eucalyptus plant (a green plant) creates 15,000 molecules of glucose then approximately how many more atoms of hydrogen than carbon are created on average per day?
Choices:
6,000
2,500
250
0
Answer: A
Question: Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
20
27
28
30
Answer: A
Question: Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word CAREER could be arranged to create a six-letter code?
Choices:
6! − (3! + 2!)
6! − (3! × 2!)
6!/(3! + 2!)
6!/(2! × 2!)
Answer: D
Question: Out of 470 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket ?
Choices:
80
100
180
220
Answer: A
Question: A meeting has to be conducted with 6 managers. Find the number of ways in which the managers may be selected from among 9 managers, if there are 2 managers who refuse to attend the meeting together.
Choices:
40
42
45
49
Answer: D
Question: For 6-digit integer 46x,y12, when x and y are drawn at random from {3,5,8}, what is the probability T that the integer drawn is divisible by 8?
* A solution will be posted in two days.
Choices:
1/3
1/2
2/3
5/6
Answer: C
Question: 8 people decided to split the restaurant bill evenly. If the bill was $314.12 dollars, how much money did they 1 cent is the smallest unit?
Choices:
$314.16
$314.18
$314.19
$314.20
Answer: A
Question: The sum Q of the arithmetic sequence a, a+d, a+2d,..., a+(n-1)d is give by Qn = (n/2)*(2a + n-1)d. What is the sum of the integers 1 to 100 inclusive, with the even integers between 25 and 63 omitted.
Choices:
4302
4258
4214
4170
Answer: C
Question: A company hired a printer to produce a total of x + 1 envelopes. The job consisted of two types of envelopes, 4¢ envelopes and 7¢ envelopes. If the company requested 3 more 4¢ envelopes than 7¢ envelopes, which of the following expressions denotes the cost, in cents, of the total x + 1 envelopes ?
Choices:
4x+13
3x+34
6x-4
(7x+4)/2
Answer: C
Question: If six persons sit in a row, then the probability that three particular persons are always together is -
Choices:
1/7
1/5
1/1
1/3
Answer: B
Question: A rower can row 6 km/h in still water. When the river is running at 1 km/h, it takes the rower 1 hour to row to Big Rock and back. How many kilometers is it to Big Rock?
Choices:
2.78
2.8
2.87
2.92
Answer: D
Question: A man is 24 years older than his son.In two years,his age will be twice the age of his son.The present age of the son is:
Choices:
18 years
20 years
22 years
None of these
Answer: C
Question: Sakshi can do a piece of work in 5 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work :
Choices:
4
18
25
10
Answer: A
Question: A die is thrown twice and the sum of the numbers appearing is observed to be 6.
find the conditional probability that the number 4 has appeared at least once?
Choices:
2/5
5/7
7/11
7/13
Answer: A
Question: Find the rate at Simple interest, at which a sum becomes four Ɵmes of itself in 15 years.
Choices:
20%
30%
40%
50%
Answer: A
Question: One day a car rental agency rented 2/3 of its cars, including 3/5 of its cars with CD players. If 3/4 of its cars have CD players, what percent of the cars that were not rented had CD players?
Choices:
35%
45%
66.7%
90%
Answer: D
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Choices:
88
27
89
287
Answer: B
Question: Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself?
Choices:
9 years
5 years
4 years
6 years
Answer: C
Question: Four rooms of the same type were advertised to be let in a locality. four men made separate applications for a house. What is the probability that each of them applied for the same house.
Choices:
1/256
1/64
4/64
4/16
Answer: B
Question: A five-character password consists of two letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
Choices:
918,720
926,000
937,440
973,440
Answer: D
Question: For one toss of a certain coin, the probability that the outcome is heads is 0.9. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?
Choices:
2(0.9)^4
3(0.9)^4
4(0.9)^4(0.1) + (0.9)^5
5(0.9)^4(0.1) + (0.9)^5
Answer: D
Question: Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x hours. Working alone at its constant rate, Machine A produces 800 nails in w hours. In terms of x and w, how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails?
Choices:
y/(x+y)
xy/(x+y)
xy/(x-y)
xw/(w-x)
Answer: D
Question: Jim and John are workers in a department that has a total of 8 employees. Their boss decides that two workers from the department will be picked at random to participate in a company interview. What is the probability that both Jim and John are chosen?
Choices:
1/14
1/28
1/7
2/19
Answer: B
Question: If x>y>0, which of the following must be true:
I. |x|>y
II. x^4 > y^4
III. x^2>y^2
Choices:
II only
III only
II and III
I, II and III
Answer: C
Question: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is
Choices:
80
100
200
180
Answer: B
Question: A can do a piece of work in 24 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 2 days and B leaves after 4 days from the beginning. How long will work lost?
Choices:
12
13
11
15
Answer: B
Question: Anup was asked to find the value of 7/12 of a sum of money W. Instead of multiplying the same by 7/12,he divided it by 7/12 and his answer exceeded the correct answer by 95. The correct answer is:
Choices:
89
84
69
49
Answer: D
Question: Abby and Bobby type at constant rates of 80 words per minute and 60 words per minute, respectively. Bobby begins typing before Abby and has typed 600 words when Abby begins typing at 1:30 pm. If they continue typing at their respective rates, at what time will Abby have typed exactly 400 more words than Bobby?
Choices:
1:50 PM
2:00 PM
2:10 PM
2:20 PM
Answer: D
Question: What is the dividend. divisor 17, the quotient is 9 and the remainder is 5?
Choices:
154
156
158
170
Answer: C
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Choices:
5/21
5/20
5/22
5/25
Answer: A
Question: Find the value of x. (47% of 1442 - 36% of 1412) + 63 = x?
Choices:
2
3
5
7
Answer: B
Question: A fair is coin is tossed repeatedly. If head appears on first four tosses then what is the probability of appearance of tail in the fifth toss?
Choices:
1/2
1/8
1/0
1/6
Answer: A
Question: a is an integer greater than 39 but less than 51, b is an integer greater than 49 but less than 61, what is the range of a/b?
Choices:
1/3
3/4
1
5/4
Answer: A
Question: Over a three-week period, the price of an ounce of gold increased by 25% in the first week, decreased by 20% in the following week, and increased by 5% 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, in terms of G, at the end of the three weeks?
Choices:
1G
1.05G
1.1G
1.15G
Answer: B
Question: A sum of money deposited at C.I. amounts to Rs.2442 in 2 years and to Rs.2926 in 3 years. Find the rate percent?
Choices:
20
28
24
82
Answer: A
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
Choices:
2400
24028
24128
2121
Answer: A
Question: On the xy-plane, each point on circle C has coordinates such
that x 0 and y 0. If the center of circle C is the point (3; 4),
what is the maximum possible area of C?
Choices:
9
24
32
64
Answer: A
Question: Roger can read a book in k minutes. What part of the book can he read in 7 minutes? (k>8)
Choices:
k/8
7/k
(k+ 8)/k
(k-8) / k
Answer: B
Question: If n = 2×3×5×7×11×13×16, then which of the following statements must be true?
I. n^2 is divisible by 600
II. n + 19 is divisible by 19
III. (n + 4)/2 is even
Choices:
II only
III only
I and III
None of the above
Answer: C
Question: The average monthly salary of 20 employees in an organisation is Rs. 1400. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ?
Choices:
3890
88798
2789
3500
Answer: D
Question: Judges will select 5 finalists from the 8 contestants entered in a singing competition. The judges will then rank the contestants and award prizes to the 3 highest ranked contestants: a blue ribbon for first place, a red ribbon for second place, and a yellow ribbon for third place. How many different arrangements of prize-winners are possible?
Choices:
21
210
420
560
Answer: D
Question: Let f(x) = 3x2+2x+6. Two distinct lines l1 and l2 exist that are tangent to f(x) and intersect
at the origin. Given that l1 is tangent to f(x) at (x1; f(x1)) and that l2 is tangent to f(x) at
(x2; f(x2)), compute x1x2.
Choices:
-2
-3
-4
-5
Answer: A
Question: The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary?
Choices:
1266
1000
2779
2661
Answer: B
Question: A certain taxi company charges $3.50 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?
Choices:
16.0
17.5
18.7
19.1
Answer: D
Question: B alone can do piece of work in 10 days. A alone can do it in 15 days. If the total wages for the work is Rs 5000, how much should B be paid if they work together for the entire duration of the work?
Choices:
267
76
8
82
Answer: A
Question: Find the value of y from the given equation. 9^y = 3^12, what is y?
Choices:
5
7
8
6
Answer: D
Question: If x and y are both odd prime numbers and x < y, how many distinct positive integer T factors does 2xy have?
Choices:
4
6
8
12
Answer: C
Question: If each of 4 subsidiaries of Corporation R has been granted a line of credit of $464,800 and each of the other 3 subsidiaries of Corporation R has been granted a line of credit of $112,000, what is the average (arithmetic mean) line of credit granted to a subsidiary of Corporation R?
Choices:
$448,000
$406,000
$313,600
$116,000
Answer: C
Question: A bag contains 40 black balls and 40 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
5/7
1/2
1/4
1/3
Answer: B
Question: At 9:00 a.m., Tom begins traveling on a certain bike path from Riverdale at a constant rate of 10 mph. If, at 2:00 p.m., Jim begins traveling from Riverdale on the same path at a constant rate of 20 mph, at what time will he catch up to Peter?
Choices:
5:00 p.m.
6:00 p.m.
7:00 p.m.
8:00 p.m.
Answer: C
Question: If a jury of 12 people is to be selected randomly from a pool of 15 potential jurors, and the jury pool consists of 2/3 men and 1/3 women, what is the probability that the jury will comprise at least 2/3 men?
Choices:
45/91
2/3
67/91
84/91
Answer: C
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hrs and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 1 hours, how many machines of type R were used?
Choices:
4
6
9
12
Answer: D
Question: A company produces 60000 bottles of water everyday. If a case can hold 5 bottles of water .How many cases are required by the company to hold its one day production
Choices:
12000
5000
8000
9000
Answer: A
Question: What is the average (arithmetic mean) of all the multiples of ten from 10 to 160 inclusive?
Choices:
95
70
105
110
Answer: B
Question: Vijay's salary is Rs. 21,600 per month. In the first month of the year, he spends 30% of his income on clothing, 20% of the remaining on entertainment and some percentage of the remaining on food. He saves of the amount he spends. Find the percentage of spending on food as a percentage of saving.
Choices:
124%
160%
154%
140%
Answer: A
Question: The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is?
Choices:
2 years
7 years
9 years
4 years
Answer: A
Question: 5% 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:
2667
4400
2977
2712
Answer: B
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
Choices:
24000
24028
24014
24012
Answer: A
Question: A cistern has a leak which empty it in 8 hrs, A tap is turned on which admits 6 liters a minute into the cistern, and it is now emptied in 12 hours, How many liters does the cistern hold ?
Choices:
8640
8840
8540
8940
Answer: A
Question: In a contest, a bowl contains 20 keys, only one of which will open a treasure chest. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Anna is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that she wins the prize?
Choices:
3/40
1/40
1/20
1/10
Answer: D
Question: 60% of a number is added to 180, the result is the same number. Find the number?
Choices:
277
266
99
450
Answer: D
Question: Kanul spent $5000 in buying raw materials, $200 in buying machinery and 30% of the total amount he had as cash with him. What was the total amount?
Choices:
$7500.55
$7428.57
$7852.56
$7864.00
Answer: B
Question: There are n cities. What is the number of airlines that connected 2 different cities (airline from city A to city B is different with airline from city B to city A)?
Choices:
n(n-1)
n(n-1)/2
n(n+1)/2
n2
Answer: A
Question: A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 16 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:
13/50
1/2
7/10
9/10
Answer: A
Question: A jeep takes 8 hours to cover a distance of 280 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
52 Kmph
20 Kmph
23 Kmph
65 Kmph
Answer: C
Question: If Scott has earned x dollars by working 3 days a week at a constant daily rate for w weeks, which of the following represents his daily wage?
Choices:
3w/x
w/(3x)
xw/3
x/(3w)
Answer: D
Question: If k is an integer and 0.00010101 x 10^k is greater than 10, what is the least possible value of k?
Choices:
4
5
6
7
Answer: B
Question: The number of positive integers n in the range 12 ≤ n ≤ 40 such that the product
(n − 1)(n − 2)...3.2.1 is not divisible by n is
Choices:
7
13
14
16
Answer: A
Question: The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2. What is the total of P's and Q's present ages?
Choices:
48 years
56 years
Cannot be determined
None of these
Answer: A
Question: If n = 7p, where p is a prime number greater than 2, how many different positiveevendivisors does n have, including n ?
Choices:
Three
Four
Six
Eight
Answer: D
Question: What will be the percentage increase in the area of the cube's surface if each of the cube's edges grows by 60%?
Choices:
160%
156%
158%
162%
Answer: B
Question: Usha took a loan of Rs. 1500 with simple interest for as many years as the rate of interest. If she paid Rs. 375 as interest at the end of the loan period, what was the rate of interest?
Choices:
5
6
7
8
Answer: A
Question: If q is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of q ?
Choices:
12
14
16
18
Answer: B
Question: What is the greatest prime factor of 3^6 - 1 ?
Choices:
3
7
13
17
Answer: C
Question: What is difference between biggest and smallest fraction among 2/3, 3/4, 4/5 and 5/6
Choices:
3/5
1/6
1/7
None of these
Answer: B
Question: A farmer has decided to build a wire fence along one straight side of his property. For this, he planned to place several fence posts at 6 m intervals, with posts fixed at both ends of the side. After he bought the posts and wire, he found that the number of posts he had bought was 5 less than required. However, he discovered that the number of posts he had bought would be just sufficient if he spaced them 8 m apart. What is the length of the side of his property and how many posts did he buy?
Choices:
100 m, 16
120 m, 15
120 m, 16
None
Answer: C
Question: A, B and C have Rs.600 between them, A and C together have Rs.250 and B and C Rs.450. How much does C have?
Choices:
90
120
100
140
Answer: C
Question: P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 378 is divided among them . What is R's share?
Choices:
108
134
144
None of these
Answer: A
Question: In a shop certain saree was marked down 10% the first week and another 10% the next week. What percent of the regular price was the final cost of the saree after the two markdowns?
Choices:
36%
40%
60%
81%
Answer: D
Question: If x is an integer and 2.134 × 10^x is less than 220,000, what is the greatest possible value for x?
Choices:
6
5
4
3
Answer: B
Question: A circle in the coordinate plane passes through points (-3, -2) and (-1, 4). What is the smallest possible area of that circle?
Choices:
26π
10π
52π
64π
Answer: B
Question: A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article was
Choices:
218
200
388
211
Answer: B
Question: Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
77 sec
76 sec
20 sec
66 sec
Answer: C
Question: The mean of set A does not exceed mean of any subset of set A. Which of the following must be true about set A?
I. Set A contains only one element
II. All elements in set A are equal
III. The median of set A equals the mean of set A
Choices:
II only
III only
II and III only
I, II, and III
Answer: C
Question: Given two sets X = {1,1,4,4,3,3} and Y = {0,1}, if one number is chosen from each set at random, what is the probability that the sum of both numbers is an even number
Choices:
1/2
1/5
1/7
1/8
Answer: A
Question: If m+n gives remainder as 8 and m-n gives remainder as 6 when both are divide by 12, what is the remainder when m*n is divided by 6?
Choices:
1
3
4
5
Answer: A
Question: Mary works in a restaurant a maximum of 80 hours. For the first 20 hours, she is paid $8 per hour. For each overtime hour, she is paid at a rate which is 25% higher than her regular rate. How much Mary can earn in a week?
Choices:
720
760
620
700
Answer: B
Question: Rick deposited $850 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit?
Choices:
25
50
55
65
Answer: C
Question: How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 850 meters in length?
Choices:
27
55
18
67.7
Answer: D
Question: If q is three times larger than n , and if 2n+3 is 20% of 25, what is the value of ?
Choices:
2
3
6
12
Answer: B
Question: A cricket bat is sold for $850, making a profit of $225. The profit percentage would be
Choices:
25%
30%
36%
40%
Answer: C
Question: What is the 8th term in this sequence?
2,3,5,16,27,43,76
Choices:
125
178
124
121
Answer: A
Question: Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is
Choices:
29
27
48
22
Answer: C
Question: A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40. What is the reduced price/dozen?
Choices:
3
6
8
9
Answer: A
Question: A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?
Choices:
10%
32%
98%
31%
Answer: A
Question: Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes 7 hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?
Choices:
4/3
15/4
10/3
64/21
Answer: D
Question: If 'a' and 'b' are non-zero numbers such that their sum is six times the product, what is the value of 1/a + 1/b?
Choices:
6
7
8
12
Answer: A
Question: In a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. If the each possible product is between 15 and 270, then the least and greatest integer on the card would be
Choices:
3 and 20
4 and 13
4 and 16
5 and 14
Answer: C
Question: The probability is 1/2 that a certain coin turns up heads on any given toss. If the coin is tossed two times, what is the probability that the coin turns up tails on at least one of the tosses?
Choices:
3/4
3/8
5/8
7/8
Answer: A
Question: How many times thekeys of a writter have to bepressed in order to write first 400 counting no's?
Choices:
980
1000
1092
1200
Answer: C
Question: Lakshmi went to the stationers and bought things worth Rs. 200, out of which 50 paise went on sales tax on taxable purchases. If the tax rate was 20%. then what was the cost of the tax free items?
Choices:
Rs. 197
Rs. 187
Rs. 167
Rs. 191
Answer: A
Question: A manufacturer sells a pair of watches to a wholesale dealer at a profit of 18%. The wholesaler sells the same to retailer at a profit of 20%. The retailer in turn sells them to a customer for $30.09, there by earning a profit of 25%. The cost price for the manufacturer is:
Choices:
17
18
19
20
Answer: A
Question: Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes 40 seconds and his sister’s time is currently 9 minutes 42 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister?
Choices:
5%
8%
9%
12%
Answer: C
Question: If a man can cover 32 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Choices:
162 km
1767 km
432 km
177 km
Answer: C
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
11 1/4 min
11 8/4 min
11 1/9 min
11 3/4 min
Answer: A
Question: A board 4ft. 9 inches long is divided into 3 equal parts . What is the length of each part?
Choices:
3ft. 7 inches
4ft. 7 inches
2ft. 7 inches
1ft. 7 inches
Answer: D
Question: Jerry went to a shop and bought things worth Rs. 20, out of which 30 % went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
14.7
21.3
21.5
21.7
Answer: A
Question: {330, 380, 350, n}
Which of the following could be the median of the 4 integers listed above?
I. 340
II. 350
III. 375
Choices:
II only
I and II only
II and III only
I, II, and III
Answer: B
Question: A credit card number has 6 digits (between 1 to 9 inclusive). The first two digits are 12 in that order, the third digit is bigger than 6, the fourth digit is divisible by 2, and the fifth digit is 4 times the sixth. How many different credit card numbers are possible?
Choices:
18
24
36
48
Answer: B
Question: Two pipes P and Q can fill a cistern in 12 and 14 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
1/4
1/2
1/4
1/4
Answer: B
Question: A walks at 30 kmph and 30 hours after his start, B cycles after him at 40 kmph. How far from the start does B catch up with A?
Choices:
1500km
2000km
2500km
3600km
Answer: C
Question: A reduction of 30% in the price of salt enables a lady to obtain 10kgs more for Rs.200, find the original price per kg?
Choices:
8.99
8.0
9.2
8.57
Answer: D
Question: A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Choices:
3 1/5 Km
4 1/5 Km
4 1/7 Km
5 km
Answer: A
Question: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration C of the acid in the mixture?
Choices:
1/3
1/4
1/6
1/5
Answer: C
Question: A channel provider give 2/3 part is movie channel and sport channel is 2 times grater than news channel.news channel is five more than entertainment channel.if entertainment channel is 10.then calculate total no. of channel.
Choices:
165
225
286
175
Answer: A
Question: During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 45% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?
Choices:
2,261,760
2,052,413
3,690,240
3,915,790
Answer: B
Question: In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 11 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Choices:
105%
88%
124.2%
138%
Answer: B
Question: Jane covered a distance of 360 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
Choices:
4 hours
2 hours
1 hour 45 minutes
None of these
Answer: A
Question: 225, or 15^2, is the first perfect square that begins with two 2s. What is the sum of the digits of the next perfect square to begin with two 2s?
Choices:
12
13
14
17
Answer: B
Question: In a T.V. factory, an average of 61TVs are produced per day for the fist 25days of the months. A few workers fellill for the next five daysreducing the daily avg for the month to58 sets/day . The average production per day for day last 5days is ?
Choices:
39
48
50
43
Answer: D
Question: The simple interest on Rs. 23 for 3 months at the rate of 5 paise per rupeeper month is
Choices:
3.45
2.25
3.21
None
Answer: A
Question: If 3 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days?
Choices:
65 kg
72 kg
44 kg
55 kg
Answer: B
Question: If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is?
Choices:
2:1
2:9
2:5
2:2
Answer: A
Question: What is the average (arithmetic mean) of the numbers 15, 16, 17, 17, 18, and 19?
Choices:
16.5
17
17.5
18
Answer: B
Question: A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most
Choices:
215
220
230
240
Answer: A
Question: Of the three-digit integers greater than 800, how many have distinct digits ?
Choices:
82
80
45
36
Answer: A
Question: How many terms of the arithmetic series 24 21 18 15 g + + + + , be taken continuously so that their sum is – 351
Choices:
26
9
10
17
Answer: A
Question: In a certain game of dice, the player’s score is determined as a sum of three throws of a single die. The player with the highest score wins the round. If more than one player has the highest score, the winnings of the round are divided equally among these players. If John plays this game against 22 other players, what is the probability of the minimum score that will guarantee John some monetary payoff?
Choices:
1/216
1/221
1/84
1/42
Answer: A
Question: Data sufficiency question:
If solution (x) with alcohol (14%) and solution (y) with alcohol (20%) mixed together to form 24 liters of mixture.
Choices:
1
3
4
3
Answer: A
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is?
Choices:
197
152
1518
112
Answer: C
Question: Some ladies can do a piece of work in 12 days. Two times the number of such ladies will do half of that
work in :
Choices:
4 days
12 days
3 days
8 days
Answer: C
Question: In Orange County, one ninth of the people are gathering mushrooms and one eighth of the people are collecting apples. What can be the number of people in Orange County?
Choices:
260
275
288
292
Answer: C
Question: Find the numbers which are in the ratio 3:2:3 such that the sum of the first and the second added to the difference of the third and the second is 24?
Choices:
4,4,22
9,3,32
9,6,12
18,12,18
Answer: D
Question: How many of the positive divisors D of 120 are also multiples of 4 not including 120?
Choices:
4.
5.
7.
8.
Answer: C
Question: Ravi and sunil are partners in a business. Ravi invests Rs.20,000 for 8 months and Sunil invested Rs.16000 for 10 months then after one year ratio of their profits will be
Choices:
1:1
3:2
3:1
3:4
Answer: A
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
Choices:
18 sq m
3 sq m
12 sq m
15 sq m
Answer: B
Question: 30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years?
Choices:
20%
80%
70%
90%
Answer: B
Question: Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
Choices:
99
27
28
20
Answer: C
Question: Rs. 4536 is divided among 4 men, 5 women and 2 boys. The ratio of share of a man, a woman and a boy is 7: 4: 3. What is the share of a woman?
Choices:
336
346
356
426
Answer: A
Question: A chemical lab is scheduled to go through two air ventilation systems, a basic system and a more advanced system that takes half an hour and 3 hours respectively to fully ventilate the room. If both ventilation systems were to operate at the same time with their respective constant rates, how many hours would it take to fully ventilate the chemical lab?
Choices:
1/3
2/5
5/4
3/7
Answer: D
Question: There are 840 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
Choices:
140
125
175
225
Answer: A
Question: Robert spent $100 in buying raw materials, $125 in buying machinery and 10% of the total amount he had as cash with him. What was the total amount?
Choices:
$210
$250
$160
$200
Answer: B
Question: Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.88 at the candy store. What is John’s weekly allowance?
Choices:
$3.00
$3.30
$3.60
$3.90
Answer: B
Question: A 10% stock yields 8%.The market value of the stock is :
Choices:
Rs. 125
Rs. 112.50
Rs. 116.50
None of these
Answer: A
Question: Two trains are moving in the same direction at 126 kmph and 54 kmph. The faster train crosses a man in the slower train in 14 seconds. Find the length of the faster train?
Choices:
280
300
310
320
Answer: A
Question: If cost of sugar increases by 12%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
Choices:
9.2
10.7
15.3
18.6
Answer: B