antoine-444/aqua_rat_dataset huggingface dataset:
Question: The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds that it is a queen?
Choices:
1/26
1/52
1/4
1/13
Answer: D
Question: A machine can finish a work in 15days and 2nd machine can finish the work in 30days. 2nd machine worked for 10days and left the job. In how many days, A alone can finish the remaining work?
Choices:
6days
10days
12days
15days
Answer: B
Question: If each interior angle of a regular polygon is 144o, the it is
Choices:
Decagon
Dodecagon
Pentagon
None of these
Answer: B
Question: The average age of a group of 5 members is 20 years. Two years later, a new member joins the group. The average age of the group becomes 21 years. What is the age of the new member ?
Choices:
16 years
22 years
23 years
24 years
Answer: A
Question: A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
Choices:
2
4
3
5
Answer: C
Question: If x is an integer, then x(x - 1)(x - k) must be evenly divisible by three when k is any of the following values except
Choices:
-8
-1
2
5
Answer: A
Question: The LCM of three numbers is four times their GCF. Which of the following must be true of the numbers?
I. At least o ne of the numbers is odd.
II. Two of the three numbers must be same.
III. At least one number is the same as GCF.
Choices:
option II only
and III only
and II only
I and III only
Answer: A
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
140
88
72
12
Answer: A
Question: Mr. loyd wants to fence his Square shaped land of 120Sqft each side.If a pole is laid every 10ft how many poles do he need?
Choices:
30
48
50
60
Answer: B
Question: A sum of money deposited at compound interest (compounded yearly) amounts to $4200 in 2 years and to $4494 in 3 years. What is the interest rate?
Choices:
5%
7%
9%
11%
Answer: B
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 675 sq m, then what is the breadth of the rectangular plot?
Choices:
15
18
101
1322
Answer: A
Question: The sum an integer N and its reciprocal is equal to 78/15. What is the value of N?
Choices:
8
7
6
5
Answer: D
Question: In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
4 km/hr
5 km/hr
6 km/hr
8 km/hr
Answer: D
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:
4418
4400
4418
4412
Answer: B
Question: Two airplanes take off from one airfield at noon. One flies due east at 201 miles per hour while the other flies directly northeast at 283 miles per hour. Approximately how many miles apart are the airplanes at 2 p.m.?
Choices:
332
400
402
566
Answer: C
Question: A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 950gm. for a kg.His gain is …%.
Choices:
5.26%
4.26%
6.26%
7.26%
Answer: A
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 16 hours and 9 hours respectively. The ratio of their speeds is?
Choices:
4:3
4:4
4:9
3:4
Answer: D
Question: A man can swim in still water at 4 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.3
2.25
1.5
4
Answer: A
Question: A train speeds past a pole in 15 seconds and a plaƞorm 100 meter long in 25 seconds. What is length
of the train ?
Choices:
145 meter
150 meter
155 meter
None of these
Answer: B
Question: To celebrate a colleague's retirement, the T coworkers in an office agreed to share equally the cost of a catered lunch. If the lunch costs a total of K dollars and S of the coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remaining coworkers would have to contribute so that the cost of the lunch is completely paid?
Choices:
K/(T-S)
SK/(T-S)
SK/T(T-S)
K(T-S)/T
Answer: C
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.3200?
Choices:
3388
7767
4050
2288
Answer: C
Question: From a group of 3 boys and 3 men, four are to be randomly selected. What is the probability that equal numbers of boys and men will be selected?
Choices:
3/5
4/5
2/5
6/10
Answer: A
Question: Mohan purchased 17 kgs of rice at the rate of Rs.26 per kg and 8 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?
Choices:
B)Rs.594
C)Rs.650
D)Rs.595
E)of these
Answer: B
Question: The operation # is defined for all nonzero w and y by w#y = w + w/y. If a>0, then 1#(1#a) =
Choices:
a+1
a/(a+1)
(a+2)/(a+1)
(2a+1)/(a+1)
Answer: D
Question: A man borrowed some amount, after 3 years he paid Rs.10,400/- with 10% interest, then how much Amount he borrowed?
Choices:
Rs.6500/-
Rs.7000/-
Rs.7200/-
Rs.8000/-
Answer: D
Question: The boys ordered several pizzas for the weekend. When the first evening was over, the
following amounts of pizza were left over: 1/4 of the pepperoni pizza, 1/2 of the cheese pizza,
3/4 of the mushroom pizza and 1/4 of the supreme pizza. The next morning, each boy ate the
equivalent of 1/4 of a pizza for breakfast. If that finished the pizza, how many boys were there?
Choices:
6
7
8
9
Answer: B
Question: Let f(x) = x^2 + bx + c. If f(1) = 0 and f(-6) = 0, then f(x) crosses the y-axis at what y-coordinate?
Choices:
-6
0
1
6
Answer: A
Question: Given that s/t < 1, and both s and t are positive integers, which one of the following must be greater than 1?
Choices:
s^2/t
s^2/t^2
t/s
√(s/t)
Answer: C
Question: Selling an kite for Rs. 30, a shop keeper gains 15%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Choices:
3.5%
11%
15%
20%
Answer: A
Question: The sum of the ages of 5 children born at the intervals of 2 years each is 50 years. what is the age of the youngest child ?
Choices:
6
10
99
38
Answer: A
Question: A city council plans to renew its fleet of 60 police patrol cars by retiring 4 every month and buying 5 new cars. how many months will it take to replace the entire fleet of police cars?
Choices:
15
10
18
13
Answer: A
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
1 kmph
8 kmph
4 kmph
3 kmph
Answer: A
Question: Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
Choices:
16.5
14.5
12
13
Answer: A
Question: Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Choices:
9680
2893
2790
2702
Answer: A
Question: A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
54 Kmph
62 Kmph
72 Kmph
108 Kmph
Answer: D
Question: (3 x 10^3) + (2 x 10^2) + (4 x 10) =
Choices:
32400
30240
3240
324
Answer: C
Question: The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 30 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
Choices:
82.5
83.75
85.0
87.5
Answer: D
Question: John and Karen begin running at opposite ends of a trail until they meet somewhere in between their starting points. They each run at their respective constant rates until John gets a cramp and stops. If Karen runs 50% faster than John, who is only able to cover 25% of the distance r before he stops, what percent longer would Karen have run than she would have had John been able to maintain his constant rate until they met.
Choices:
25%
75%
100%
200%
Answer: A
Question: A, B, C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 175, then how much amount should C pay as his share of rent?
Choices:
45
55
60
66
Answer: A
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Choices:
31/32
14/15
48/11
99/18
Answer: A
Question: If a fair die is rolled four time, what is the probability that a 3 occurs on at least one roll?
Choices:
125/216
91/216
11/36
248/479
Answer: D
Question: The ages of two persons differ by 28 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively
Choices:
40,12
25,15
30,10
None of these
Answer: A
Question: At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?
Choices:
12 4/11
13 4/11
16 4/11
None
Answer: C
Question: Predict the next number
2,20,10,100,50
Choices:
300
400
500
600
Answer: C
Question: What will be the percentage increase in the area of the cube's surface if each of the cube's edges grows by 30%?
Choices:
69%
80%
82%
55%
Answer: A
Question: Two numbers are in respectively 20% and 50% more than a third number. The ratio of the two numbers is?
Choices:
1:2
4:5
3:7
5:6
Answer: B
Question: A basket contains 6 blue, 6 red and 6 yellow marbles. If 6 marbles are extracted from the basket at random, what is the probability that a marble of each color is among the extracted?
Choices:
3/25
1/6
9/34
11/24
Answer: C
Question: A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. B alone can do the whole work in
Choices:
15days
9days
8days
7days
Answer: A
Question: If the figure 5286.142 is rounded off to the nearest thousand, hundred, ten and one and the result is represented using d,e,f,g respectively, which of the following statements would be accurate?
Choices:
e>f>g>d
g>f>e>d
e>d>g>f
e>g>f>d
Answer: A
Question: The product of two successive numbers is 462. Which is the smaller of the two numbers?
Choices:
21
26
27
29
Answer: A
Question: A boat can move upstream at 30 kmph and downstream at 15 kmph, then the speed of the current is?
Choices:
7.5
32.5
9.2
5.8
Answer: A
Question: A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 25 paise per sq m is
Choices:
Rs. 186
Rs. 486
Rs. 586
None of these
Answer: A
Question: If A = {17, 27, 31, 53, 61}, what is the sum of mean and median of the numbers in A?
Choices:
69
82
91
56
Answer: A
Question: A train passes a station platform in 39 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:
285 m
277 m
765 m
176 m
Answer: A
Question: If â€œ*â€ is called â€œ+â€, â€œ/â€ is called â€œ*â€, â€œ-â€ is called â€œ/â€, â€œ+â€ is called â€œ-â€. 80/40 â€“ 10 * 20 + 10 = ?
Choices:
160
170
145
225
Answer: B
Question: If the sum of the interior angles of a regular polygon is 1080 degrees, how many sides does the polygon have?
Choices:
3
6
8
None of these
Answer: C
Question: For all positive integers n and m, the function A(n) equals the following product:
(1 + 1/2 + 1/2^2)(1 + 1/3 + 3^2)(1 + 1/5 + 5^2)…(1 + 1/p_n + 1/p_n^2), where p_n is the nth smallest prime number, while B(m) equals the sum of the reciprocals of all the positive integers from 1 through m, inclusive. The largest reciprocal of an integer in the sum that B(25) represents that is NOT present in the distributed expansion of A(5) is
Choices:
1/5
1/6
1/7
1/8
Answer: D
Question: A focus group is currently made up of x men and y women. If 3 men and 7 women are added to the group, and if one person is selected at random from the larger focus group, then what is the probability that a woman is selected?
Choices:
y/(x + y)
(y + 3)/(x + y + 7)
(y + 7)/(x + y + 10)
(x + 3)/(x + y + 10)
Answer: C
Question: How many times in a day, are the hands of a clock in straight line but opposite in direction?
Choices:
22
24
48
52
Answer: A
Question: The dimensions of a room are 10m x 7m x 5m. There are 2 doors and 3 windows in the room. The dimensions of the doors are 1m x 3m. One window is of size 2m x 1.5m and the other 2 windows are of size 1m x 1.5m. The cost of painting the walls at Rs. 3 per sq m is?
Choices:
Rs.429
Rs.129
Rs.474
Rs.111
Answer: C
Question: I travel 20 miles towards north and then travel 25 miles eastward. I then travel 40 miles rightwards, then travel 30 miles towards left and then travels 12 miles to the left and finally 20 miles northwards. How far am i pproximately from my original destination and in what direction ?
Choices:
13 miles towards south-west
12 miles towards east
13 miles towards north-east
None of these
Answer: A
Question: A number is 101102103104...150. As 101 102 103 103.... 150. What is reminder when divided by 3?
Choices:
2
6
7
8
Answer: A
Question: A bowl was half full of water. 4 cups of water were then added to the bowl, filling the bowl to 70% of its capacity. How many cups of water are now in the bowl?
Choices:
14
16
17
18
Answer: A
Question: There are eight boxes of chocolates, each box containing distinct number of chocolates from 1 to 8. In how many ways four of these boxes can be given to four persons (one boxes to each) such that the first person gets more chocolates than each of the three, the second person gets more chocolates than the third as well as the fourth persons and the third person gets more chocolates than fourth person?
Choices:
70
105
210
None
Answer: A
Question: In right triangle ABC, AC is the hypotenuse. If AC is 20 and AB + BC = 50, what is the area of the triangle ABC?
Choices:
525
25√2
200
200√2
Answer: A
Question: Michael completes a piece of work in 6 days, Madan completes the same work in 18 days. If both of them work together, then the number of days required to complete the work is?
Choices:
4.5 days
10 days
12 days
14 days
Answer: A
Question: Mysoon collects glass ornaments. Ten more than 1/6 of the ornaments in her collection are handmade, and 1/2 of the handmade ornaments are antiques. If 1/8 of the ornaments in her collection are handmade antiques, how many ornaments are in her collection?
Choices:
60
120
144
180
Answer: B
Question: A and B’s salaries together amount to Rs. 3,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is B’s salary?
Choices:
750
789
776
881
Answer: A
Question: If n divided by 5 has a remainder of 4, what is the remainder when 3 times n is divided by 5?
Choices:
4
3
2
0
Answer: C
Question: How many natural numbers that are less than 10,000 can be formed using the digits 0, 1, 2, 3, 4, 6, 78?
Choices:
4096
6560
4095
8000
Answer: C
Question: Efrida and Frazer who live 13 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is two miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?
Choices:
7
8
10
11
Answer: D
Question: which of the following is odd, if r is even and t is odd?
Choices:
5rt
6r + 5t
5r + 6t
6(r^2)t
Answer: B
Question: In triangle PQR, the angle Q = 90 degree, PQ = 5 cm, QR = 8 cm. X is a variable point on PQ. The line through X parallel to QR, intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. Find the least possible length of XZ
Choices:
2.4 cm
4.0 cm
2.16 cm
3.2 cm
Answer: B
Question: A football coach must choose 5 freshers from a team of 12players. How many different ways can the coach choose the freshers?
Choices:
634
729
850
870
Answer: B
Question: A salesperson receives a base salary of $1100 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 210 items for $150 each, what will her monthly salary be?
Choices:
$1,800
$2,100
$2,500
$2,900
Answer: D
Question: A year ago, the ratio of Betty's and Chi's age was 6:7 respectively. Four years hence, this ratio would become 7:8. How old is Betty?
Choices:
29 yeras
25 years
30 years
40 years
Answer: B
Question: Randy can rebuild an automobile engine in b hours. Alvin can rebuild the same engine in a hours. If Randy and Alvin work together at their respective rates to rebuild the engine, which of the following represents the portion of the job that Alvin will have to complete?
Choices:
b/(a+b)
b/(b-a)
ab/(a+b)
a/(a+b)
Answer: A
Question: in 10 year, A willbe twice as old as B was 10 year ago. if A is now 9 year older then B, the present age of B is
Choices:
29 years
39 years
49 years
None of these
Answer: B
Question: 20% of a number is added to 120, the result is the same number. Find the number?
Choices:
150
1687
997
121
Answer: A
Question: What is the number of integers from 1 to 900 (inclusive) that are divisible by neither 11 nor by 35?
Choices:
890
892
910
945
Answer: B
Question: Shreyas bought an article and sold it for 140% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.29750/-?
Choices:
Rs.21250
Rs.24250
Rs.23200
None of these
Answer: A
Question: The sum of the present ages of A, B, C is 51 years. Three years ago their ages were in the ratio 1:2:3. What is the present age of A?
Choices:
8
9
10
11
Answer: C
Question: Insert the missing number
9, 12, 11, 14, 13, ..., 15
Choices:
16
10
17
18
Answer: A
Question: what is the unit digit in (4137)^754?
Choices:
3
7
9
None of them
Answer: C
Question: A dog breeder currently has 9 breeding dogs. 6 of the dogs have exactly 1 littermate, and 3 of the dogs have exactly 2 littermates. If 2 dogs are selected at random, what is the probability W that both selected dogs are NOT littermates?
Choices:
2/9
5/6
7/9
8/9
Answer: B
Question: Fifteen telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of four members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?
Choices:
126
252
1200
1365
Answer: D
Question: Find the value of x: x² − 3x + 2
Choices:
1
2
3
4
Answer: B
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 10 p.c?
Choices:
38000
32977
38128
36000
Answer: D
Question: A train 1200 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
277
500
100
435
Answer: C
Question: If 1 pound of dried apricots that cost x dollars per pound are mixed with 2 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture?
Choices:
(x + 2y)/5
(x + 2y)/(xy)
5(x + 2y)
x + 2y
Answer: A
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.75 km and 1.25 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
72
48
99
11
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 1010000 and 10100000 ?
Choices:
11
101
1011
10001
Answer: B
Question: An optometrist charges $150 per pair for soft contact lenses and $85 per pair for hard contact lenses. Last week she sold 5 more pairs of soft lenses than hard lenses. If her total sales for pairs of contact lenses last week were $2,160, what was the total number of pairs of contact lenses that she sold?
Choices:
13
15
17
19
Answer: C
Question: One pump drains one-half of a pond in 2 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:
1.3 hour
3 hours
5 hours
6 hours
Answer: A
Question: Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 14 inches on a side and costs $10, and a large pizza that measures 21 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone?
Choices:
10 square inches
49 square inches
25 square inches
350 square inches
Answer: B
Question: Find a sum for 1st 7 prime number's?
Choices:
28
58
34
36
Answer: B
Question: If x is a positive number and 2 the square root of x is equal to x/2, then x =
Choices:
4
1
2
8
Answer: B
Question: A movie buff owns movies on DVD and on Blu-ray in a ratio of 7:2. If she buys 4 more Blu-ray movies, that ratio would change to 13:4. If she owns movies on no other medium, what was the original number of movies in her library before the extra purchase?
Choices:
28
77
99
234
Answer: D
Question: If seven persons sit in a row, then the probability that three particular persons are always together is?
Choices:
1/4
1/9
1/6
1/7
Answer: D
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle?
Choices:
16
12
10
14
Answer: B
Question: If p is not equal to zero, and p+1/p = 5, then what is the value of p^4 + (1/p)^4?
Choices:
247
547
527
537
Answer: C
Question: Doug bought bananas on sale for 5% off the original price and another 10% off the discounted price. If the final price was $5, what was the price before the first discount?
Choices:
$5.35
$5.85
$6.14
$4.85
Answer: B
Question: Sequence W consists of 16 consecutive integers. If -6 is the least integer in sequence W, what is the range of the positive integers in sequence W?
Choices:
15
9
8
7
Answer: C
Question: What is the product of all positive factors of 24?
Choices:
331476
331776
332976
331776
Answer: D
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
5
8
2
Answer: A
Question: Three cards are randomly selected, one at a time (without return), from a standard deck of 52 cards. What is the probability that the last two of the three cards are spades? (Answer in lowest terms).
Choices:
19/750
18/850
39/850
39/750
Answer: C
Question: A pineapple costs Rs 7 each and a watermelon costs Rs. 5 each. If I spend Rs 38 on total what is the number of pineapple I purchased?
Choices:
6
5
2 pineapples
3
Answer: C
Question: If the set S is composed of the following numbers {99, 100, 100, 105, 106, 115, 124}, which of the following is largest?
Choices:
The average (arithmetic mean) of set S
The mode of set S
The range of set S
The standard deviation of set S
Answer: A
Question: If f(x)= 2x^2- 3x+5 and g(y)= 2y-4, then g(f(x))
Choices:
9x^2-15x+4
4x^2-6x+6
8x^2-9x+6
9x^2+79x+78
Answer: B
Question: Jack and Dick work at a hospital with 4 other workers. For an internal review, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Jack and Dick will both be chosen?
Choices:
B)1/4
C)1/15
D)3/8
E)2/3
Answer: B
Question: In how many a committee of 5 members can be selected from 6 men 5 ladies consisting of 3 men and 2 ladies
Choices:
150
100
50
200
Answer: D
Question: A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 3300 in all from both of them as interest. The rate of interest per annum is?
Choices:
12%
74%
10%
15%
Answer: D
Question: Sripad has scored average of 60 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?
Choices:
64
38
27
21
Answer: A
Question: (a/2)/(b/c)
In the expression above, a, b, and c are different numbers and each is one of the numbers 1, 2, or 4. What is the largest possible value of the expression?
Choices:
8/2
1/8
2/4
4/6
Answer: A
Question: Find the unit's digit in (264)^102 + (264)^103
Choices:
0
5
3
4
Answer: A
Question: How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 40 m long and 16 1/2 m board?
Choices:
132
16
10
15
Answer: A
Question: If x is an integer and (x)(x^2)(x^3)(x^4) is positive, which of the following could be negative?
Choices:
(x)(x^3)
(x)(x)
3x^2
x + x^5
Answer: D
Question: Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $8,500, what is the bonds face value?
Choices:
$6,800
$7,425
$7,500
$9,375
Answer: A
Question: What will be the compound interest earned on an amount of Rs. 5000 in 2 years?
I.	The simple interest on the same amount at the same rate of interest in 5 years is Rs. 2000.
II.	The compound interest and the simple interest earned in one year is the same.
III.	The amount becomed more than double on compound interest in 10 years.
Choices:
I only
II and III only
I and III only
None of these
Answer: A
Question: A polling company reports that there is a 20% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. What is the chance that the candidate will sign Bill Z?
Choices:
8
6
4
5
Answer: C
Question: Two pipes A and B can fill a cistern in 22 and 44 minutes respectively, and a third pipe C can empty it in 48 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
21 1/8 min
21 3/25 min
18 8/7 min
19 3/7 min
Answer: B
Question: How many positive integers will divide evenly into 230?
Choices:
6
8
12
16
Answer: B
Question: Find the next number in the Sequence
8, 18, 48, 98, ?
Choices:
368
169
162
168
Answer: D
Question: If $0.40 is the commission for sales of $1,000, what percent of the sales amount is the commission?
Choices:
0.4%
0.04%
0.004%
0.0004%
Answer: B
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
2.0
2.5
2.1
2.3
Answer: B
Question: A problem in mathematics is given to three students A, B and C whose chances of solving it are 1/2, 3/4 and 1/4 respectively. What is the probability that the problem will be solved if all of them try independently.
Choices:
29/32
31/33
31/35
33
Answer: A
Question: Large number of people went to an party and they decided to make some fun at the bar.
The first person asks the barman for half a pint of beer.
The second person asks for a quarter pint of beer
The third person asks for one-eighth of beer and so on ...
How many pints of beer will the barman need to fulfill the people need of beer ?
Choices:
1
6
2
8
Answer: A
Question: Mr. CRUISE invested in Fund X and Fund Y. The total amount she invested, in both funds combined, was $200,000. In one year, Fund X paid 48% and Fund Y paid 23%. The interest earned in Fund Y was exactly $100 greater than the interest earned in Fund X. How much did Ms. Tom invest in Fund X?
Choices:
56,566.24
34,565.54
48,343.45
69,545.45
Answer: D
Question: What will come in place of the x in the following Number series? 1. 0, 6, 24, 60, 120, 210, x
Choices:
336
530
560
609
Answer: A
Question: The distance traveled by Helicopter in one year approximately 750,000,000 miles.The distance traveled by helicopter in 15 years?
Choices:
10<6>
10<7>
10<9>
10<16>
Answer: A
Question: A does a work in 10days and B does the same work in 15days. In how many days they together will do the same work?
Choices:
5
6
8
10
Answer: B
Question: A set consist of 2k-1 element. What is the number of subsets of this set which contain at most k-1 elements?
Choices:
2^(2k-2)
2^(2k) -1
2^(2k)
2^(2k-1)
Answer: A
Question: A box contains 10 tablets of medicine A and 10 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
Choices:
12
17
19
21
Answer: A
Question: Two trains each 170m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 55km/h while the other travels at 50km/h. how long will it take for them to pass each other completely.
Choices:
11.6 sec
31.6 sec
12.6 sec
23 sec
Answer: A
Question: Of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. There are 19 boys and 41 girls. If there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad?
Choices:
7
6
8
10
Answer: A
Question: Hillary and Eddy are climbing to the summit of Mt. Everest from a base camp 4,900 ft from the summit. When they depart for the summit at 06:00, Hillary climbs at a rate of 800 ft/hr with Eddy lagging behind at a slower rate of 500 ft/hr. If Hillary stops 900 ft short of the summit and then descends at a rate of 1,000 ft/hr, at what time do Hillary and Eddy pass each other on her return trip?
Choices:
11.0
13.0
12.0
14.0
Answer: C
Question: A began business with Rs.36000 and was joined afterwards by B with Rs.54000. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
Choices:
6
7
8
2
Answer: C
Question: A district hospital treated 290 patients today, and each of them were either man, woman, or child. If it treated 10 more men than of children, and in equal as many men as women, how many children were treated ?
Choices:
90
100
110
70
Answer: A
Question: What annual installment will discharge a debt of Rs. 1008 due in 3 years at 12% simple interest?
Choices:
300
325
335
None of them
Answer: A
Question: The daily wage is increased by 50% and a person now gets Rs 25 per day. What was his daily wage before the increase ?
Choices:
Rs 16.6
Rs 18
Rs 19
none of these
Answer: A
Question: If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is?
Choices:
4/19
4/11
4/13
4/17
Answer: C
Question: A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
Choices:
18 days
19 days
11 days
14 days
Answer: C
Question: In how many ways the word "SCALE" can be arranged?
Choices:
240
120
None
Cannot be determined
Answer: B
Question: How many 3 digit numbers can be formed from the digits 2,3,5,6,7
and 9 which are divisible by 5 and none of the digits is repeated?
Choices:
20
4
3
9
Answer: A
Question: A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 830 in 4 years. The sum is?
Choices:
s. 638
s. 650
s. 810
s. 735
Answer: C
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?
Choices:
0
2
7
1
Answer: A
Question: If w>0.9, which of the following options can be the value of w?
Choices:
√(0.9)
0.09
0.9
0.9^3
Answer: A
Question: In a class there are 10 boys and 15 girls. In how many ways can a boy and a girl be selected?
Choices:
150
277
266
255
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 90 kmph and 72 kmph. In how much time will the trains cross each other?
Choices:
80/9 sec
40/9 sec
60/9 sec
90/9 sec
Answer: A
Question: How many seconds will a 650 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
Choices:
36
26
39
18
Answer: C
Question: If ab represents a positive two-digit number, where a and b are one-digit integers, which of the following CAN be true?
Choices:
a - b = 9
b - a = 9
Both A and B
Both B and C
Answer: C
Question: If a card is randomly drawn from a well shuffled pack of cards, what is the probability of drawing a club, or a red jack, or a red queen, or the ten of spades?
Choices:
7/26
9/26
17/52
19/52
Answer: B
Question: The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?
Choices:
34 yrs
64 yrs
24 yrs
44 yrs
Answer: A
Question: A box contains 2 red, 3 black and 4 blue balls. 3 balls are randomly drawn from the box. What is the probability that the balls are of different colors?
Choices:
25
24
26
29
Answer: B
Question: John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 11 minutes earlier. How far is the office from his house?
Choices:
3 4/5 Km
4 1/5 Km
5 1/5 Km
None
Answer: A
Question: A man can swim in still water at 12 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
4
5.3
1.5
5.2
Answer: A
Question: Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Child A has to sit next to both B & G, with these two children immediately adjacent to here on either side. The other four children can sit in any order in any of the remaining seats. How many possible configurations are there for the children?
Choices:
240
720
1440
3600
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
Choices:
3/2
3/3
3/5
3/7
Answer: A
Question: A plane flies 500 miles at a speed of r mph. If the plane flies at a speed of r + 250 miles per hour, it would fly the same distance in 1 hour less. What is the value of r?
Choices:
250 mph
205 mph
300 mph
425 mph
Answer: A
Question: Oliver travelled for 15 hours. He covered the first half of the distance at 40 kmph and remaining half of the distance at 45 kmph. Find the distance travelled by Oliver?
Choices:
634 km
760 km
720 km
612 km
Answer: C
Question: The element being searched for is not found in an array of 100 elements. What is the average number of comparisons needed in a sequential search to determine that the element is not there, if the elements are completely unordered?
Choices:
50
75
100
125
Answer: C
Question: If (A+B) = 11, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?
Choices:
8.
5.
2.
-2.
Answer: B
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?
Choices:
88 years
55 years
10 years
15 years
Answer: C
Question: John has on his shelf four books of poetry, four novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one poetry?
Choices:
16/45
3/10
7/20
8/45
Answer: A
Question: In how many years will a sum of money doubles itself at 5% per annum on simple interest?
Choices:
70%
29%
20%
50%
Answer: C
Question: A department of ten people - six men and four women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send?
Choices:
150
180
210
240
Answer: B
Question: A customer bought a product at the shop. However, the shopkeeper increased the price of the product by 15% so that the customer could not buy the required amount of the product. The customer managed to buy only 60% of the required amount. What is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase?
Choices:
29%
31%
33%
35%
Answer: B
Question: A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Choices:
50%
60%
70%
80%
Answer: A
Question: The price of a jacket is reduced by 25%. During a special sale the price of the jacket is reduced another 10%. 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
65
67.5
Answer: B
Question: In a certain game of dice, the player’s score is determined as a sum of two 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:
1/221
1/216
1/36
1/42
Answer: C
Question: In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
Choices:
24
32
42
46
Answer: A
Question: X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.45000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
2:1
3:2
2:3
4:3
Answer: D
Question: Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations C of project assignments are possible?
Choices:
1,680
2,340
362,880
592,704
Answer: A
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
1/31
5/26
2/25
1/15
Answer: B
Question: Last year, Company X paid out a total of $1,050,000 in salaries to its 43 employees. If no employee earned a salary that is more than 20% greater than any other employee, what is the lowest possible salary that any one employee earned?
Choices:
$20,428.01
$42,000
$50,000
$60,000
Answer: A
Question: If x, y, and z are consecutive positive odd integers, not necessarily in that order, which of the following must be true? I. xy> z^4 II. (x + z)^5 > y III. x+y>z^4
Choices:
I only
I,III only
II only
II,III only
Answer: C
Question: When n liters of fuel was added to a tank that was already 2/3 full, the tank was filled to 8/9 of its capacity. In terms of n, what is the capacity of the tank, in liters?
Choices:
4/3 n
9/2 n
9/4 n
7/3n
Answer: B
Question: Bob invested one half of his savings in a bond that paid simple interest for 2 years and received $500 as interest. He invested the remaining in a bond that paid compound interest (compounded annually) for the same 2 years at the same rate of interest and received $600 as interest. What was the annual rate of interest?
Choices:
10%
12%
4%
20%
Answer: C
Question: A fill pipe can fill 1/5 of tank in 25 minutes in how many minutes, it can fill 4/5 of the cistern?
Choices:
80 min
100 min
50 min
56 min
Answer: B
Question: At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number W of different possible seating arrangements for the group?
Choices:
10
24
32
120
Answer: B
Question: The sale price of an article including the sales tax is616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is :
Choices:
500
550
600
None of these
Answer: A
Question: If both 5^2 and 3^3 are factors of n x (2^5) x (12^2) x (7^3) x (10), what is the smallest possible positive value of n?
Choices:
15
75
125
150
Answer: A
Question: An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2400, what will be the difference between Q and R's share?
Choices:
3000
2772
1211
1321
Answer: A
Question: If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Choices:
288
360
396
484
Answer: B
Question: A certain type of concrete mixture is to be made of cement, sand and graved (gravel?) in a ratio 1:3:5 by weight. What is the greatest number of kilograms of this mixture that can be made with 5 kilograms of cement ?
Choices:
15
25
40
45
Answer: D
Question: An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 44 meters. How many times did the ball bounce?
Choices:
6
7
3
9
Answer: C
Question: The proportion of copper and zinc in the brass is 13:7. How much zinc will there be in 100 kg of brass?
Choices:
35
83
63
83
Answer: A
Question: The ratio of cost price to the marked price of an article is 4 : 5. If the ratio of the
profit percentage on selling the article to the discount allow ed on it is 5 : 4, w hat is the
profit percentage?
Choices:
12%
12.5%
15%
17%
Answer: B
Question: A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest.find the sum.
Choices:
4460
4580
4690
5480
Answer: A
Question: Sahil purchased a machine at Rs 9000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it.
Choices:
Rs. 22500
Rs. 26500
Rs. 28500
None of these
Answer: A
Question: The lenght of a room is 5.5 m and width is 4 m. Find the cost of paving the floor by slabs at the rate of Rs. 800 per sq. metre.
Choices:
Rs. 15,600
Rs. 16,500
Rs. 17,600
Rs. 17,900
Answer: C
Question: A is half good a work man as B and together they finish a job in 18 days. In how many days working alone B finish the job?
Choices:
27 days
17 days
18 days
19 days
Answer: A
Question: Find the average of the series : 312, 162, 132, 142 and 122?
Choices:
174
119
110
171
Answer: A
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.2.0 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Choices:
s.1332
s.999
s.1085
s.1020
Answer: A
Question: How many bricks are needed to build a pillar of dimension .5x.5x25 m , if the dimension of the brick is 8x5x22 cm and the 15% of the total volume of the pillar is filled with concrete and steel.
Choices:
4100
4847
5310
5568
Answer: C
Question: In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a odd. You pick a card from a full playing-card deck, and success would be picking a red color card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning?
Choices:
9/16
1/8
7/16
3/8
Answer: D
Question: Ross has 80 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green.
Choices:
12 ; 20.
12 ; 18.
12 ; 17.
12 ; 16.
Answer: A
Question: Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety of tea in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, what is the price of the third variety per kg ?
Choices:
175.5
170.0
180.0
190.0
Answer: A
Question: A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?
Choices:
299 ways
167 ways
765 ways
600 ways
Answer: D
Question: A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.3267 in 3 years. Find the rate percent?
Choices:
10
28
24
35
Answer: D
Question: The letters of the word 'SURATI' are written in all possible orders and these words are written in alphabetical order. Then what is the rank of the word 'SURITI'
Choices:
- 245
- 307
- 415
- 275
Answer: C
Question: On a scale that measures the intensity of a certain phenomenon, a reading of d+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of d. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?
Choices:
50
10^5
5^10
8^10 - 3^10
Answer: B
Question: Which of the following points is closest to line y=x
Choices:
(2, 4)
(-1, -2)
(-2, 1)
(-2, 0)
Answer: B
Question: The present worth of Rs.169 due in 2 years at 4% per annum compound interest is
Choices:
Rs.156.25
Rs.156.28
Rs.156.19
Rs.156.92
Answer: A
Question: If 4XZ + YW = 6 and XW + YZ = 12, what is the value of the expression (2X + Y)(2Z + W)?
Choices:
30.
15.
16.
18.
Answer: A
Question: When x is divided by y, the quotient is q with remainder r. What is x in terms of r, y, and q?
Choices:
yq + r
x/y+r
y/q+r
rq + y
Answer: A
Question: A train 150 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50
88
59
22
Answer: C
Question: The ratio of the present ages of Ramesh and mahesh is 2:5. 10 years hence, the ratio of their ages will be 10:15. Find the difference in their present ages?
Choices:
7.5
5.5
6.5
5
Answer: A
Question: The radius of a cylindrical water tank is reduced by 50%. However, the speed by which water is filled into the tank is also decreased by 50%. How much more or less time Q will it take to fill the tank now?
Choices:
50% less time
75% less time
75% more time
100% more time
Answer: A
Question: 2, 3, 6, 0, 10, -3, 14, (...)
Choices:
2
-2
0
-6
Answer: D
Question: During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 24% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?
Choices:
2,261,760
2,400,000 cars
3,690,240
3,915,790
Answer: B
Question: During a certain week, a seal ate 60% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?
Choices:
40
55
64
96
Answer: D
Question: A number when divided by a certain divisor left remainder 241, when twice the number was divided by the same divisor, the remainder was 115. Find the divisor?
Choices:
365
380
367
460
Answer: C
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 13% per annum then the gain of B in a period of 3 years is?
Choices:
300
310
315
330
Answer: C
Question: How many minutes does Aditya take to cover a distance of 400 m, if he runs at a speed of 20 km/hr?
Choices:
1 1/5min
3 1/5min
2 1/5min
None of these
Answer: A
Question: If P represents the product of the first 13 positive integers, then P is not a
multiple of:
Choices:
b) 84
c) 72
d) 65
e) 95
Answer: D
Question: How many 8's are there preceded by 0 but not followed by 1?
5 0 8 1 2 7 4 2 6 9 7 4 6 1 3 0 8 7 4 1 0 8 3 2 5 6 7 4 3 9 5 8 2 0 8 2 7 4 6 3
Choices:
3
6
8
9
Answer: A
Question: Shawn is planning a bus trip across town that involves three buses. Bus 1 travels between Shawn’s house and downtown, and it leaves every half-hour starting at 7:20 AM. Shawn will need to be on bus 1 for 1.2 hours. Bus 2 travels between downtown and uptown every half-hour starting at 7:10 AM. Shawn will need to be on bus 2 for 2/3 hour. Lastly, bus 3 travels between uptown and Shawn’s destination every hour starting at 9 AM. Assuming all buses stay on schedule, what is the least amount of time Shawn must spend waiting for buses?
Choices:
18 minutes
48 minutes
1 hour, 12 minutes
1 hour, 20 minutes
Answer: A
Question: What will be the product of (25-1)*(25-2)*(25-3)*..............*(25-99)*(25-100)?
Choices:
0
625
less than -100,000
more than 100,000
Answer: A
Question: A crate measures 4 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit in the crate?
Choices:
4
6
8
12
Answer: C
Question: A family has two children. find the probability that both the children are boys given that at least
one of them is a boy?
Choices:
1/3
3/11
4/5
5/11
Answer: A
Question: Last year a worker saved 4% of her annual salary. This year, she made 10% more money than last year and she saved 5% of her salary. The amount she saved this year was what percent of the amount she saved last year?
Choices:
137.5%
147.5%
152.5%
157.5%
Answer: A