antoine-444/aqua_rat_dataset huggingface dataset:
Question: Marie has 248 $ in her account of the bank. She has to buy presents for her 7 children and wants to distribute the money fairly. How much he will once have the money shared fairly?
Choices:
2
3
4
5
Answer: B
Question: The winning relay team in a high school sports competition clocked 48 minutes for a distance of 13.2 km. Its runners A, B, C and D maintained speeds of 15 kmph, 16 kmph, 17 kmph, and 18 kmph respectively. What is the ratio of the time taken by B to than taken by D?
Choices:
5:17
9:8
8:9
None of these
Answer: B
Question: Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
Choices:
77
88
18
72
Answer: C
Question: 25% students of a class failed in Chemistry and 40% failed in Physics where 10% did not pass in any of the two subjects. If 30 students passed in only Physics, how many of them passed in both the subjects.
Choices:
70
80
90
100
Answer: C
Question: Which number can you put to fill in the sequence?
23 1 3 25 16 20 6 9 20 ?
Choices:
13
15
17
19
Answer: D
Question: Goldenrod and No Hope are in a horse race with 4 contestants. How many different arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?
Choices:
360
12
24
21
Answer: B
Question: An oil cylinder was 3/4th full. When FIVE bottles of oil is poured into it, it is 4/5th full. How many bottles of oil
can the full cylinder hold?
Choices:
115
140
130
100
Answer: D
Question: A class of 10 students is having an average age of 15, another group of 4 students whose average age is 12 has been added to them. What is the average of the new group formed?
Choices:
13.4
14.14
15
16.25
Answer: B
Question: There are 2 sections A and B in a class, consisting of 40 and 20 students respectively. If the average weight of section A is 50kg and that of section B is 40kg, Find the average of the whole class?
Choices:
49.32kg
46.66kg
69.15kg
70.89kg
Answer: B
Question: Count the numbers between 10 - 99 which yield a remainder of 5 when divided by 8 and also yield a remainder of 1 when divided by 6?
Choices:
Three
Two
Five
Four
Answer: D
Question: A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water ?
Choices:
1 hour
1 hr 15 min
1 hr 30 min
None of these
Answer: B
Question: In a game of 100 points there are three participants A, B, and C. A gives to B 10 points and to C 19 points, then how many points can B give to C
Choices:
10 points
11 points
12 points
13 points
Answer: A
Question: How many seconds will a 400 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
24
40
45
50
Answer: A
Question: Of three numbers, the third is twice the second and the second is 4 times the first. If their average is 78, the greatest of the three numbers is:
Choices:
144
200
212
220
Answer: A
Question: Three numbers are in the ratio 1:3:5 and their H.C.F is 5. The numbers are?
Choices:
5, 15, 30
5, 15, 25
5, 15, 40
5, 15, 20
Answer: B
Question: In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is:
Choices:
80 sec
76 sec
96 sec
None of these
Answer: A
Question: When two dice are rolled, what is the probability that the sum of the two numbers is 6?
Choices:
5/36
1/3
2/36
None of the above
Answer: A
Question: Peter read P books last year, and Nikki read N books last year. If Peter read 35 more books than Nikki last year, which of the following reflects this relationship?
Choices:
P < N − 35
P > N + 35
P = N − 35
P = N + 35
Answer: D
Question: Convert the 15/36 m/s into kilometers per hour?
Choices:
1.5
1.3
1.1
1.2
Answer: A
Question: When a number is divided by 6 &then multiply by 12 the answer is 11 what is the no.?
Choices:
5
5.5
5.8
6
Answer: B
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
A. 65
Choices:
89 sec
85 sec
16 sec
15 sec
Answer: A
Question: Susan, John, Tim,and Kim need to be seated in 4 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?
Choices:
A)12
C)80
D)240
E)60
Answer: A
Question: If the sum of the 4th term and the 12th term of an arithmetic progression is 24, what is the sum of the first 15 terms of the progression?
Choices:
240
220
200
180
Answer: D
Question: Find the least number must be added to 228712 so that remaining no.is divisible by 9?
Choices:
5
1
6
2
Answer: A
Question: If n = 2.0563 and n* is the decimal obtained by rounding n to the nearest hundredth, what is the value of n* – n?
Choices:
-0.0003
0.0007
0.0037
0.0153
Answer: C
Question: 8^9 - 8^2 is approximation of which of the following?
Choices:
9^8
9^9
9^11
8^9
Answer: D
Question: A certain music store stocks 800 cellos and 600 violas. Of these instruments, there are 80 cello-viola pairs, such that a cello and a viola were both made with wood from the same tree (each tree can make at most one viola and one cello, so there are no pairs other than these 90). If one viola and one cello are chosen at random, what is the probability that the two instruments are made with wood from the same tree?
Choices:
1/8,100
1/600
1/90
2/45
Answer: B
Question: Caitlin bought three puppies for Rs. 200, Rs. 350 and Rs.450 and she sold that to George for Rs. 250, Rs. 300 and Rs.600.
What is the percentage of profit Caitlin got?
Choices:
12
18
15
20
Answer: C
Question: Ritesh and Co. generated revenue of Rs. 1,800 in 2006. This was 12.5% of its gross revenue. In 2007, the gross revenue grew by Rs. 2,500. What is the percentage increase in the revenue in 2007?
Choices:
17.36%
25%
50%
None of these
Answer: A
Question: If 5a + 7b = g, where a and b are positive integers, what is the largest possible value of g for which exactly one pair of integers (a, b) makes the equation true?
Choices:
48
69
70
74
Answer: C
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
Choices:
11 1/3%
11 1/9%
11 1/6%
11 1/4%
Answer: B
Question: There is a school were 60% are girls and 35% of the girls are poor. Students are selected at random, what is the probability of selecting a poor girl out of total strength?
Choices:
21/100
23/100
24/100
26/100
Answer: A
Question: A boy has six trousers and 8 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
38
28
48
271
Answer: C
Question: We bought a total of 90 books at the store. Math books cost $4 and history books cost $5. The total price was $397. How many math books did we buy?
Choices:
53
56
61
64
Answer: A
Question: A train running at the speed of 90 km/hr crosses a pole in 9 seconds. Find the length of the train.
Choices:
145 meter
140 meter
135 meter
225 meter
Answer: D
Question: How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4 ?
Choices:
36
24
48
58
Answer: B
Question: Two pens and three pencils cost Rs 86. four Pens and a pencil cost Rs. 112. find the cost of a pen.
Choices:
34
25
26
27
Answer: B
Question: If in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it, then what will be the maximum number of the small boxes that can be kept in it?
Choices:
1000
1628
1098
1094
Answer: A
Question: If |20x-10| = 110, then find the product of the values of x?
Choices:
50
-62
35
-30
Answer: D
Question: At a local beach, the ratio of little dogs to average dogs to enormous dogs is 2:4:8. Late in the afternoon, the ratio of little dogs to average dogs doubles and the ratio of little dogs to enormous dogs increases. If the new percentage of little dogs and the new percentage of average dogs are both integers and there are fewer than 30 total dogs at the beach, which of the following represents a possible new percentage of enormous dogs?
Choices:
10% or 60%
50%
55%
70%
Answer: A
Question: A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day?
Choices:
1/6
1/2
1/1
1/4
Answer: A
Question: What is the number of integers from 1 to 1000 (inclusive) that are divisible by neither 20 nor by 35?
Choices:
850
560
923
240
Answer: C
Question: 5 kg of adulterated rice has 2% stones in it and the rest is rice. Half of the stone
content was removed. Now the percentage of stone content in it is
Choices:
1%
1.1%
1.01%
2.01%
Answer: C
Question: In 2008, a certain factory produced 10% more widgets than it did in 2007, and its production in 2009 was 110% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?
Choices:
17%
20%
24%
30%
Answer: A
Question: In how many different ways can 3 girls and 3 boys form a circle such that the boys and the girls alternate?
Choices:
12
17
20
None of these
Answer: A
Question: What is the median from the below series 90, 92, 94, 88, 95, 88, 97, 87, and 98
Choices:
85
93
97
100
Answer: B
Question: In what ratio must be a grocer mix two varities of tea worth Rs.60 a kg and Rs.65 a Kg so that by selling the mixture at Rs.68.20 a Kg he may gain 10%?
Choices:
3 : 2
3 : 5
4 : 5
None
Answer: A
Question: What is the value of 5x^2 − 1.9x − 3.7 for x = − 0.3?
Choices:
−3.82
−3.58
−2.68
0.57
Answer: C
Question: A man gains 20% by selling an arƟcle for a certain price. If he sells it at double the price, the
percentage of profit will be
Choices:
140%
150%
160%
None of these
Answer: A
Question: the length of the bridge is 200m,which a 100 m long train cross in 60sec. then what is the speed of train?
Choices:
5
4
10
8
Answer: A
Question: If a certain number X is divided by 82, the reminder is 5. what is the reminder when X+3 is divided by 41?
Choices:
5
6
16
18
Answer: D
Question: In a hostel there were 100 students. To accommodate 40 more students the average is decreased by rupees 10. But total expenditure decreased by Rs.400. Find the total expenditure of the hostel now?
Choices:
2500
3000
1500
2100
Answer: D
Question: 826924 × 9999 = ?
Choices:
8268413076
8268413071
8064329671
8244563371
Answer: A
Question: In N is a positive integer less than 200, and 24N/60 is an integer, then N has how many different positive prime factors?
Choices:
1
5
6
8
Answer: A
Question: Rosy also matched the London Eye which stands at 443ft and Las
Vegas’ High Roller standing at 550ft. Being the tallest Ferris wheel in
the world, how much taller is High Roller than the London Eye?
Choices:
78
110
150
107
Answer: D
Question: Express a speed of 36 kmph in meters per second?
Choices:
10 mps
19 mps
17 mps
12 mps
Answer: A
Question: If I walk at 3 km/h, I miss the bus by 12 minutes. If I walk at 6 km/h, I reach 10 minutes before the arrival of the bus. How far I walk to reach the bus stand ?
Choices:
2.19 km
2.00 km
1.19 km
1.99 km
Answer: A
Question: Eight persons in an organization including A and B were to be divided in two groups of 4 members each. The total number of groups which not containing both A and B is what fraction of the total number of groups which can be formed?
Choices:
1/70
3/14
1/10
11/14
Answer: D
Question: A is a working partner and B is a sleeping partner in the business. A puts in Rs.5000 and B Rs.1000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
Choices:
2707
7728
8160
7291
Answer: C
Question: A car moves at the speed of 80 km/hr. what is the speed of the car in metres per second?
Choices:
2/9
2/6
2/4
2/3
Answer: A
Question: If a(a - 7) = 8 and b(b -7) = 8, where a ≠ b, then a + b =
Choices:
−2
2
7
48
Answer: C
Question: If the simple interest on a sum of a money for 1 years at 4% per annum is rs 70 what is the compound interest on the sum of the same rate and same time
Choices:
$752.36
$523.98
$1822.8
$523.65
Answer: C
Question: A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?
Choices:
7500
2665
2888
2661
Answer: A
Question: In how many ways the word "CALORIES" can be arranged?
Choices:
40320
45340
None
Cannot be determined
Answer: A
Question: (0.15)(power 3) - (0.1)(power 3)/ (0.15)(power 2) + 0.015 + (0.1)(power 2) is:
Choices:
0.08
0.05
0.06
None of them
Answer: B
Question: In a certain pond, 55 fish were caught, tagged, and returned to the pond. A few days later, 55 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?
Choices:
625
1250
1528
10 000
Answer: C
Question: A businessman earns $27800 in December, thus decreasing his average annual (January to December) earnings by $1200. His average annual earnings would be
Choices:
$33500
$40200
$41000
$42300
Answer: C
Question: How many kg of pure salt must be added to 30kg of 2% solution of salt and water to increase it to 10% solution ?
Choices:
4/3
5/7
2/3
8/3
Answer: D
Question: A courtyard is 18 meter long and 12 meter board is to be paved with bricks of dimensions 15 cm by 13 cm. The total number of bricks required is :
Choices:
18078
11076
11456
None of these
Answer: B
Question: Which one of the following numbers is exactly divisible by 11?
Choices:
315624
615624
715624
415624
Answer: D
Question: If a person walks at 25 km/hr instead of 10 km/hr, he would have walked 31 km more. The actual distance traveled by him is?
Choices:
25
20.67
12.33
19.48
Answer: B
Question: X, Y and Z invested Rs.3600, Rs.4800 and Rs.5400 respectively, in a partnership business. Find the share of X in profit of Rs.23000 after a year?
Choices:
6200
6100
6400
6000
Answer: D
Question: A buffet consists of 5 main dishes and 4 side dishes. If a plate is created with 2 main dishes and 2 side dishes, in how many ways can the plates be formed?
Choices:
60
66
180
575
Answer: A
Question: 46080, 3840, 384, 48, 8, 2, ?
Choices:
1
1.5
2
2.5
Answer: A
Question: A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $7.00. If the company’s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
Choices:
$1,350
$1,725
$2,100
$2,250
Answer: C
Question: The volume of a sphere with radius r is (4/3)*pi*r^3 and the surface area is 4*pi*r^3. If a sperical balloon has a volume of 12348 pi cubic centimeters, what is hte surface area of the balloon in square centimeters?
Choices:
b. 100
c. 400
d. 1,000
e. 5,000
Answer: D
Question: What is the range of all the roots of |x^2 - 6| = x ?
Choices:
3
2
1
5
Answer: D
Question: Kailash loses 20% of his pocket money. After spending 25% of the remainder he has Rs 480 left. What was his pocket money?
Choices:
Rs 800
Rs 900
Rs 1000
none of these
Answer: A
Question: Two persons starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5km apart, if they walk in the same direction?
Choices:
17 hrs
25 hrs
12 hrs
14 hrs
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
180 metres
324 metres
228 metres
150 metres
Answer: D
Question: The total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years (rounded down to the nearest integer). During its 8th year, the plum tree grew 50 plums. If this trend continues, how many plums will it grow during its 6th year?
Choices:
40
35
30
25
Answer: D
Question: In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?
Choices:
1/25
2/5
3/5
Data inadequate
Answer: B
Question: The measures of the 2 acute angles of a triangle are in the ratio of 3 : 6. What arethe measures of the 2 angles?
Choices:
70°
60°
120°
140°
Answer: B
Question: A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
27
44
26
27
Answer: B
Question: 49 Ã— 49 Ã— 49 Ã— 49 x 49 Ã— 49 Ã— 49 Ã— 49= 7?
Choices:
7
8
16
None of these
Answer: C
Question: 5/9= 25/45 . which method did you use to determine whether this proportion is true or false?
Choices:
true
false
not sure
none
Answer: A
Question: The sum of the number of boys and girls in a school is 150. if the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is ?
Choices:
60
26
29
11
Answer: A
Question: A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 86.49, the number of the member is the group is:
Choices:
93
77
87
97
Answer: A
Question: 2. Abhishek started a business investing 50,000. After one year he invested another 30,000 and Sudin also joined him with a capital of 70,000. If the profit earned in three years from the starting of business was 87,500, then find the share of Sudin in the profit
Choices:
32,500
38,281
52,500
None of these
Answer: D
Question: Which of the following is two more than the square of an odd integer?
Choices:
14,361
14,643
14,737
14,981
Answer: B
Question: E and F have a data plan which gives them 200 GB every month. If E uses 7 GB every 9 days and F uses 5 GB every 4 days, how many GB will be unused after a 30 day month? Answer in fractions.
Choices:
73/6
35/6
835/6
200/6
Answer: C
Question: A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 12 minutes earlier. How far is the office from his house?
Choices:
4 1/7 Km
3 1/5 Km
3 1/7 Km
4 Km
Answer: D
Question: If the average (arithmetic mean) of x and y is 80, and z – x = 100, what is the average of y and z?
Choices:
100
110
120
130
Answer: D
Question: John has taken four (4) tests that have an average of 83. In order to bring his course grade up to a ‘B’, he will need to have a final average of 87. What will he need to average on his final two tests to achieve this grade?
Choices:
90
92
95
97
Answer: C
Question: Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 60 white marbles. How many red marbles could be in bag A?
Choices:
3
4
12
8
Answer: C
Question: Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choices:
5.4%
5.6%
6%
6.5%
Answer: B
Question: Sachi invested amount of 8000 in a fixed deposit for 2 years at compound interest rate of 5 % per annum. How much Sachi will get on the maturity of the fixed deposit.
Choices:
8500
8820
8870
8900
Answer: B
Question: At a particular graduation party with 300 guests, 70% of the guests brought gifts, and 40% of the female guests brought gifts. If 15 males did not bring gifts to the party, how many females did bring gifts?
Choices:
28
50
68
70
Answer: B
Question: If a is the sum of b and c, then which one of the following must equal b – c?
Choices:
a+c
a-c
a-2c
a+2c
Answer: C
Question: Husband has prepared for a candle light dinner on the honeymoon for his wife. While they were having the dinner, a strong breeze flew through the open window and four candles out of ten were extinguished. After that, the husband closed the window.
How many candles were left in the end?
Choices:
3
4
5
6
Answer: B
Question: Mr. Jones is the Chairman of a committee. In how many ways can a committee of 5 be chosen from 10 people given that Mr. Jones must be one of them?
Choices:
126
459
3024
4126
Answer: A
Question: There are cats got together and decided to kill the mice of 999975. Each cat kills equal number of mice and each cat kills more number of mice than cats there were. Then what are the number of cats?
Choices:
991,1001
995,1005
791,1009
931,1009
Answer: B
Question: The average of six numbers is 3.95. The average of two of them is 3.2, while the average of the other two is 3.85. What is the average of the remaining two numbers?
Choices:
4.6
4.7
4.8
4.9
Answer: C
Question: How many shots of 1cm radius can be prepared from a sphere of 3cm radius?
Choices:
77
27
88
121
Answer: B
Question: A club wants to mix 30 pounds of candy worth $8.00 per pound with candy worth $5.00 per pound to reduce the cost of the mixture to $6.00 per pound. How many pounds of the $5.00 per pound candy should be used?
Choices:
40
50
60
70
Answer: C
Question: How many even multiples of 25 are there between 249 and 501?
Choices:
6
9
10
11
Answer: A
Question: How many two letter words are formed using the letters of the word RAM?
Choices:
1
6
4
9
Answer: B
Question: Jim is able to sell a hand-carved statue for $550 which was a 35% profit over his cost. How much did the statue originally cost him?
Choices:
$407.41
$455.40
$474.90
$488.20
Answer: A
Question: Can you deduce the pattern and find the next number in the series?
2,6, 12, 20, 30, __?
Choices:
45
56
49
42
Answer: D
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:
240
288
267
211
Answer: A
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak’s share is :
Choices:
Rs.7200
Rs. 8400
Rs. 9600
Rs. 8600
Answer: B
Question: A man walking at a rate of 10km/hr crosses a bridge in 3 minutes. The length of the bridge is?
Choices:
500
250
111
236
Answer: A
Question: Jill works as a waitress at the local diner where she earns an hourly wage of $6.00 per hour and a standard tip rate of 35% of the cost of the orders she serves. If she worked four 10-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?
Choices:
300
320
350
1120
Answer: D
Question: A BAG CONTAINS 6 WHITE AND 4 BLACK BALLS .2 BALLS ARE DRAWN AT RANDOM. FIND THE PROBABILITY THAT THEY ARE OF SAME COLOUR.
Choices:
7/15
15/7
6/7
9/5
Answer: A
Question: A team bought a total of 355 balls. If each player on the team bought at least 16 balls, then what is the greatest possible number of players on the team?
Choices:
22
23
24
25
Answer: A
Question: A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 10 days respectively. They worked together for five days and then C completed the remaining work all alone. If $720 was the net sum to be paid for the entire work, what was the average daily wage of B?
Choices:
$90
$72
$54
$48
Answer: B
Question: John takes 18 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?
Choices:
2 hours, 30 minutes
3 hours, 10 minutes
3 hours, 45 minutes
4 hours, 10 minutes
Answer: B
Question: If the speed of Y meters per minute is equivalent to the speed of X kilometers per hour, what is X in terms of Y? (1 kilometer=1000 meters)
Choices:
6y/5
18y/5
6y/100
3600000y
Answer: C
Question: An item is being sold for $10 each. However, if a customer will “buy at least 3” they have a promo discount of 17%. Also, if a customer will “buy at least 10” items they will deduct an additional 8% to their “buy at least 3” promo price. If Sam buys 10 pcs of that item how much should he pay?
Choices:
$88.00
$87.04
$80.96
$75.00
Answer: D
Question: A string of 15 light bulbs is wired in such a way that if any individual light bulb fails, the entire string fails. If for each individual light bulb the probability of failing during time period T is 0.06, what is the probability that the string of light bulbs will fail during the time period T?
Choices:
1 - (0.94)^15
1 - (0.06)^15
(0.94)^15
0.06^150
Answer: A
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Choices:
89.9 km/hr
28.9 km/hr
79.2 km/hr
19.9 km/hr
Answer: C
Question: Andrew purchased 7kg of grapes at the rate of 68 per kg and 9 kg of mangoes at the rate of 48 per kg. How much amount did he pay to the shopkeeper?
Choices:
908
930
1075
1080
Answer: A
Question: If x and y are different integers and x^2 = xy, which of the following must be true ?
I. y = 0
II. x = 0
III. x = y
Choices:
II only
III only
I and III only
II, and III
Answer: D
Question: If f(x) = -*5 (x^4 - 1)/(x^2), what is f(1/x) in terms of f(x)?
Choices:
-f(x)
1/f(x)
5f(x)
2*f(x)
Answer: C
Question: 4, 10, (?), 82, 244, 730
Choices:
24
40
48
28
Answer: D
Question: The cost of fencing a square field @ Rs. 20 per metre is Rs.10.080.How much will it cost to lay a three meter wide pavement along the fencing inside the field @ Rs. 50 per sq m
Choices:
73829
73811
73800
73129
Answer: C
Question: In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 50 questions and secures 130 marks, the no of questions he attempts correctly is :
Choices:
A)36
C)90
D)88
E)37
Answer: A
Question: How many cones of radius 4 m, height 2 m can be formed from a cylinder of 12 m radius, 10 m height:
Choices:
135
145
115
155
Answer: A
Question: A sum at simple interests at 13 ½ % per annum amounts to Rs.2502.50 after 4 years find the sum.
Choices:
Rs.1675.
Rs.1625.
Rs.1635.
Rs.1655.
Answer: B
Question: Frank is 14 years younger then John. In 5 years John will be twice as old as Frank. How old will Frank be in four years?
Choices:
10
13
14
16
Answer: B
Question: A room contains 160 people, 20 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
Choices:
20
40
60
80
Answer: D
Question: A 250 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 520 m in ?
Choices:
20.2 sec
31.8 sec
50.4 sec
none of the above
Answer: C
Question: The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:
Choices:
7:3
9:2
10:4
13:4
Answer: A
Question: In Arun’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun’s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?
Choices:
67 kg.
69 kg.
Data inadequate
None of these
Answer: A
Question: A crate of apples contains 1 bruised apple for every 30 apples in the crate. Two out of every 4 bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 12 apples not fit to sell in the crate, how many apples are there in the crate?
Choices:
720
480
600
840
Answer: A
Question: A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 5 days starting with sunday is
Choices:
1314
2900
1710
2750
Answer: C
Question: If 2n+4 - 2n+2 = 3, then n is equal to :
Choices:
-2
1
-1
None
Answer: A
Question: (935421 x 625) = ?
Choices:
584626125
584629125
584637125
584638125
Answer: D
Question: Which of the following is true about 0<|x|-x/2<5?
Choices:
-1<x<0
1<x<2
2<x<3
3<x<4
Answer: A
Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
5 kmph
2 kmph
8 kmph
1 kmph
Answer: C
Question: In a games hour 4 different types of players came to the ground? cricket 22, hokey 15, football 21, softball 19. How many players are present in the ground?
Choices:
52
62
77
79
Answer: C
Question: A man buy a book in Rs50 & sale it Rs90. What is the rate of profit ???
Choices:
80%
30%
25%
28%
Answer: A
Question: A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is?
Choices:
197 km/hr
120 km/hr
109 km/hr
187 km/hr
Answer: B
Question: If k > 0, x + k = y, and y + 5k = z, what is the ratio between z - x and y - x ?
Choices:
3 to 1
4 to 1
5 to 1
6 to 1
Answer: D
Question: For how many integers n is 1^n+2 = (n+2)^1?
Choices:
1
2
None of these
3
Answer: C
Question: How many different sevevn letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?
Choices:
65
56
23
11!/(3!*2!*2!*2!)
Answer: A
Question: The average age of A and B is 22 years. If C were to replace A, the average would be 44 and if C were to replace B, the average would be 33. What are the age of A, B and C?
Choices:
11,33,55
22, 44, 33
44, 88, 66
None of the above
Answer: A
Question: Of the 70 house in a development, 50 have a two-car garage, 40 have an in-the-ground swimming pool, and 35 have both a two-car garage and an in-the-ground swimming pool. How many houses in the development have neither a two-car garage nor an in-the-ground swimming pool?
Choices:
15
20
25
30
Answer: A
Question: In how many different ways can the letters of the word ‘SMART’ be arranged?
Choices:
120
126
214
124
Answer: A
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.14200 after a year?
Choices:
9232
4260
2387
2813
Answer: B
Question: Donna, Chris, and Austin have a total of $93 in their wallets. Donna has $7 more than Chris. Austin has 3 times what Donna has. How much do they have in their wallets?
Choices:
Donna $20-Chris $13 -Austin $60
Donna $30 -Chris $34-Austin $70
Donna $40 -Chris $56 -Austin $100
Donna $50 -Chris $23 -Austin $80
Answer: A
Question: if m is a positive integer greater than 8, which of the following must be divisible by 4?
Choices:
m(m-1)(m+3)(m+4)
m(m-3)(m+2)(m+4)
m(m-3)(m+2)(m+3)
m(m+1)(m+3)(m+4)
Answer: C
Question: An athlete runs 200 metres race in 24 seconds. What is his speed?
Choices:
30 km/hr
25 km/hr
35 km/hr
40 km/hr
Answer: A
Question: A train running at the speed of 90 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
225
277
272
150
Answer: A
Question: A bag contains 9 red and 5 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
2/3
5/8
9/14
5/7
Answer: C
Question: Find the cost of fencing around a circular field of diameter 36 m at the rate of Rs.3.50 a meter?
Choices:
395
378
279
222
Answer: A
Question: A trader sells 45 meters of cloth for Rs. 4500 at the profit of Rs. 12 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
Rs. 85
Rs. 88
Rs. 100
None of these
Answer: B
Question: If 4 women can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in?
Choices:
1 day
2 days
3 days
4 days
Answer: A
Question: If n is the product of three consecutive integers, and n is divisible by 3, which of the following is not necessarily a divisor of n ?
Choices:
20
24
22
26
Answer: B
Question: After Naomi received her order, she found that she could make a scarf from one skein of the yarn
that cost $5.99 a skein. After taking into account the discount, taxes, and shipping for the yarn, how
much would it cost to make five scarves?
Choices:
$60.45
$10.45
$20.45
$30.45
Answer: D
Question: In the above number, A and B represent the tens and units digits, respectively. If the above number is divisible by 25, what is the greatest possible value of B x A?
Choices:
15
20
25
35
Answer: D
Question: The area of sector of a circle whose radius is 12 metro and whose angle at the center is 38° is?
Choices:
40m2
47.7m2
50m2
55m2
Answer: B
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
Choices:
neither profit nor loss
2%
3%
4%
Answer: A
Question: How many numbers from 2 to 9 are exactly divisible by 2?
Choices:
B)3
C)5
D)4
E)8
Answer: C
Question: 18.05 Ã— 0.001 = ?
Choices:
0.01805
1.805
0.001805
None of these
Answer: A
Question: If the operation Ø is defined for all positive integers x and w by x Ø w = (2^x)/(2^w) then (4 Ø 2) Ø 2 = ?
Choices:
4
8
16
32
Answer: A
Question: The average of 10 numbers is calculated as 21. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Choices:
B)18
C)19
D)22
E)24
Answer: C
Question: Danny obtained 76, 65, 82, 67 and 75 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
B)99
C)68
D)82
E)73
Answer: D
Question: In an examination, 300 students appeared. Out of these students; 29 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed.
Choices:
51
54
99
01
Answer: A
Question: 1,245
1,254
1,425
.....
....
+5,421
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2,4,5 exactly once in each integer. What is the sum of these 24 integers?
Choices:
79,992
83,338
86,662
91,114
Answer: A
Question: A man spends 15% of his income in house rent, 25% of the rest on his children’s education, 20% of the rest miscellaneous causes. If he now posses Rs. 2988 then his income is?
Choices:
B)Rs.4625
C)Rs.4585
D)Rs.5655
E)Rs.6225
Answer: D
Question: How many times do the hands of a clock coincide in a day?
Choices:
28
22
88
27
Answer: B
Question: A bat is bought for Rs.410 and sold at a gain of 20% find its selling price
Choices:
s.492/-
s.400/-
s.580/-
s.600/-
Answer: A
Question: The speed of a car is 10 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Choices:
85 kmph
35 kmph
23 kmph
14 kmph
Answer: B
Question: If 0.10 of a number is equal to 0.070 of another number, the ratio of the numbers is :
Choices:
3 :4
7:10
20 : 3
30:7
Answer: B
Question: Mr. Smith calculated the average of 10three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 49.5. The difference between the unit digit and hundreds digit of that number is :
Choices:
4
5
6
7
Answer: B
Question: A man is 28 years older than his son. In two years, his age will be twice the age of his son. The
present age of his son is
Choices:
21 years
22 years
24 years
26 years
Answer: D
Question: An uneducated retailer marks all its goods at 50% above the cost price and thinking that he will still make 25% profit,offers a discount of 25% on the marked price.what is the actual profit on the sales?
Choices:
12.50%
13.50%
13%
11%
Answer: A
Question: Look at this series: 97, 97, 97, 87, 87, 87, 67, 67, 67 ... What number should come next?
Choices:
57
45
48
55
Answer: A
Question: Group A has 3 boys and 4 girls, group B has 2 boys and 2 girls and group C has 4 boys and 4 girls. One student is selected from each of the group. Find the probability that one girl and two boys are among the three selected?
Choices:
19/28
9/15
29/35
77/27
Answer: A
Question: A restaurant meal cost $40 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between
Choices:
$43 and $47
$38 and $40
$37 and $39
$36 and $37
Answer: A
Question: The arithmetic mean and standard deviation of a certain normal distribution are 14.0 and 1.5, respectively. What value is exactly 2 standard deviations less than the mean?
Choices:
11
11.5
12
12.5
Answer: A
Question: Worker A takes 4 hours to do a job. Worker B takes 10 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
Choices:
40/9
40/14
60/9
80/9
Answer: B
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30 sec
27 sec
87 sec
15 sec
Answer: A
Question: We can rent a car for x dollars per day for the first 3 days and then y dollars for each additional day. How much will it cost to rent a car for z days, where z>3?
Choices:
3y+(z-3)x
3x + 3zy
3x+(z-3)y
3x + zy
Answer: C
Question: The average of 11 numbers is 12.9. If the average of first six is 12.5 and that of the last six is 11.4 the sixth number is?
Choices:
11.5
12.5
13.5
14.5
Answer: A
Question: A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?
Choices:
6 km/hr
7 km/hr
8 km/hr
2 km/hr
Answer: A
Question: A sum of Rs. 4500 amounts to Rs. 9000 in 4 years at the rate of simple interest. What is the rate of interest?
Choices:
25%
35%
6%
20%
Answer: A
Question: The L.C.M of two numbers is 2310 and their H.C.F is 30. If one number is 462 the Other is
Choices:
300
270
150
350
Answer: C
Question: Crew A can build a complete car in 20 minutes and Crew B can build a complete car in 25 minutes. If both crews work independently and start at the same time, what is the shortest amount of time Q it could take for 10 cars to be complete?
Choices:
115 2/5 minutes
116 minutes
120 minutes
125 minutes
Answer: C
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 11 cm.
Choices:
209 cm2
285 cm2
825 cm2
725 cm2
Answer: A
Question: Three fair coins are labeled with a zero (0) on one side and a one (1) on the other side. Jimmy flips all three coins at once and computes the sum of the numbers displayed. He does this over 1000 times, writing down the sums in a long list. What is the expected standard deviation of the sums on this list?
Choices:
3/4
√3/2
√5 /2
5/4
Answer: B
Question: A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days A do the work if he is assisted by B and C on every third day?
Choices:
15 days
77 days
99 days
11 days
Answer: A
Question: How many positive 5-digit integers have the odd sum W of their digits?
Choices:
9*10^3
10^4
45*10^3
9*10^4
Answer: C
Question: A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 13 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
Choices:
1,320
545
315
286
Answer: D
Question: A committee of 6 is chosen from 8 men and 5 women so as to contain at least 2 men and 3 women. How many different committees could be formed if two of the men refuse to serve together?
Choices:
635
1404
2620
3510
Answer: A
Question: John want to buy a $100 Trouser at the store, but he think itâ€™s too expensive. Finally, it goes on sale for $70. What is the percent decrease?
Choices:
30%
40%
50%
60%
Answer: A
Question: There are 35 students in a hostel. If the no. of students increases by 7, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Choices:
39
42
45
49
Answer: B
Question: A man is 46 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Choices:
44 years
20 years
22 years
16 years
Answer: A
Question: The number of livestock in a farm at the beginning of year 2000 was 100,000. During the year, the number increased by p%. During the next year 2001, there was a famine and the number decreased by q%. A census at the end of year 2001 revealed that the number of livestock in the farm was 100,000. Which of the following expressions is correct?
Choices:
p > q
p = q
With the exception of 1 instance, p will be equal to q
There is no relation between p and q
Answer: A
Question: A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
Choices:
253
370
352
300
Answer: A
Question: A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
6 sec
7 sec
8 sec
4 sec
Answer: A
Question: The owner of an electronic store charges his customer 9% more than the cost price. If a customer paid 1,26440 for an LED T.V., then what was the original price of the T.V.?
Choices:
115500
116000
117000
118000
Answer: C
Question: If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (3x - 2y) is odd
II. xy^2 is an even negative integer
III. (y^2 - x) is an odd negative integer
Choices:
I only
I and II
I and III
II and III
Answer: A
Question: If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, what is the average marks of all the students?
Choices:
54.68
51.33
50
52
Answer: A
Question: A room is 15m long, 4m broad and 3m height. Find the cost of white washing its four walls at 50p per m2 ?
Choices:
57
55
99
12
Answer: A
Question: In a camp, there is a meal for 120 men or 200 children. If 170 children have taken the meal, how many men will be catered to with remaining meal?
Choices:
20
18
57
63
Answer: B
Question: A family had dinner in a restaurant and paid $30 for food. They also had to pay 9.5% sale tax and 10% for the tip. How much did they pay for the dinner?
Choices:
$35.84
$35.85
$35.86
$35.87
Answer: B
Question: Two coins are tossed, find the probability that two Tails are obtained
Choices:
1/4
1/5
1/7
2/3
Answer: A
Question: Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 7 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?
Choices:
56
84
90
108
Answer: A
Question: The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
Choices:
31
29
97
27
Answer: A
Question: A certain airline's fleet consisted of 110 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the TYPE A planes and acquired 4 new type B plans. How many years did it take before the number of type A planes left in the airline's fleet was less than 50 percent of the fleet?
Choices:
16
17
18
19
Answer: A
Question: The circumferences of the wheels of a carriage are 6 3/14 dm and 8 1/18 dm. What is the least distance in which both wheels simultaneously complete an integral number of revolutions ? How often will the points of the two wheels which were lowest at the time of starting touch the ground together in 1 kilometre ?
Choices:
24
45
34
56
Answer: B
Question: A tour group of 25 people paid a total of $630 for entrance to a museum. If this price included a 10% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Choices:
$22.68
$24
$25.20
$30
Answer: A
Question: What is the next number in the sequence below?
1 4 9 16 25 36 49 64__ ?
Choices:
100
49
64
81
Answer: D
Question: A rectangular swimming pool is 20 feet by 28 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 884 square feet. What is the width of the deck?
Choices:
2.5 feet
3 feet
4 feet
5 feet
Answer: B
Question: The probability that B can shoot a target two out of two times is 0.35. What is the probability that the target will be missed by B immediately after such two shots?
Choices:
0.65
0.75
0.4
0.8
Answer: C
Question: Rectangular Floors X and Y have equal area. If Floor X is 8 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?
Choices:
18
18 3/4
21
16
Answer: D
Question: When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction x of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?
Choices:
11/14
4/7
3/7
3/14
Answer: A
Question: How many positive integers less than 250 are there such that they are multiples of 15 or multiples of 16?
Choices:
29.
30.
31.
32.
Answer: B
Question: A boy can reach a certain place in 18 hours. If he reduces his speed by 1/30th, he goes 3 km less in that time. Find his speed.
Choices:
5 km/hr.
8 km/hr
14 km/hr
None of these
Answer: A
Question: There are 6 identical pens and 8 identical books. In how many different ways can a person select at least one object from this set?
Choices:
28
45
62
75
Answer: C
Question: A boat takes 19 hours for travelling downstream fro poin A to point B and coming back to a point C midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B?
Choices:
180 km
220 km
230 km
None
Answer: A
Question: If the cost price of 10 articles is same as the selling price of 25 articles. Find the gain or loss percentage?
Choices:
30% Loss
40% Gain
60% Loss
50% Loss
Answer: C
Question: If 5 women or 8 girls can do a work in 84 days. In how many days can 10 women and 5 girls can do the same work ?
Choices:
66
55
32
88
Answer: C
Question: If 1/12 of the passengers on a ship are from North America, 1/4 are Europeans, 1/9 are from Africa, 1/6 are from Asia and the remaining 42 people are citizens of other continents, then how many passengers are on board the ship?
Choices:
100
104
108
112
Answer: C
Question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.160. Find the unknown rate of two towels?
Choices:
B)450
C)500
D)550
E)600
Answer: C
Question: What is the minimum value of |x-4| + |x+5| + |x-5| ?
Choices:
3
5
7
10
Answer: D
Question: How many positive integers less than 100 are neither multiples of 2 or5.
Choices:
b)31
c)40
d)33
e)34
Answer: B
Question: Two representatives must be selected from each of two groups of students. One group consists of three men and two woman, and the other group consists of two women and one man. What is the probability that 2 men and 2 women will be selected ?
Choices:
1/4
2/7
1/3
5/12
Answer: D
Question: Divide Rs.32000 in the ratio 1:7?
Choices:
12000, 200098
4000, 28000
12000, 20006
12000, 20001
Answer: B
Question: If the same letters represent the same digit and different letters represent different digits, what digit does the letter A represent?
Choices:
2
3
4
5
Answer: C
Question: Convert the following in a fraction: 0.75%
Choices:
3/4
1/75
2/5
None of the Above
Answer: A
Question: A bowl was filled with 100 ounces of milk, and 0.0001 ounce of the milk evaporated each day during a 50-day period. What percent of the original amount of milk evaporated during this period?
Choices:
A)0.005%
C)5%
D)50%
E)52%
Answer: A
Question: Ashley and Vinie work on a sales staff with 8 other salespeople. If five members of the staff will be chosen at random to attend a sales workshop, what is the probability that both Ashley and Vinie will be chosen?
Choices:
3/28
2/9
1/4
1/2
Answer: B
Question: AMS employs 8 professors on their staff. Their respective probability of remaining in employment for 10 years are 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. The probability that after 10 years at least 7 of them still work in AMS is ?
Choices:
1.22
0.1
0.04096
none of these
Answer: C
Question: Virat buys an old car for Rs. 40000 and spends Rs. 4000 on its repairs. If he sells the car for Rs. 60000, his gain percent is:
Choices:
11 (1/9) %
12 (2/3) %
12%
36.36%
Answer: D