antoine-444/aqua_rat_dataset huggingface dataset:
Question: A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 25 per kg, then his gain percent is
Choices:
33%
14%
15%
16%
Answer: A
Question: A large tank can filled by A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
Choices:
15min
30min
25min
42min
Answer: B
Question: The ratio of number of boys and girls in a class is 3 : 2. In the 1st semester exam 20% of boys and 25%
of girls get more than or equal to 90% marks. What percentage of students get less than 90% marks ?
Choices:
70
78
80
None of these
Answer: B
Question: If a person walks at 10 km/hr instead of 8 km/hr, he would have walked 14 km more. The actual distance traveled by him is?
Choices:
40
56
16
20
Answer: B
Question: The average temperature for Tuesday, Wednesday and Thursday was 52°C. The average temperature for Wednesday, Thursday and Friday was 54°C. If the temperature on Friday be 53°C, what was the Temperature on Tuesday?
Choices:
44°C
37°C
47°C
None of these
Answer: C
Question: Hector runs a one-product widget shop. Each month, his fixed costs, whether he produces anything or not, amount to x dollars. The marginal cost of producing and selling one widget is a constant y dollars, regardless of the number he produces. He generally can sell widgets for r dollars each. What is the minimum number of widgets he must produce, assuming he sells every widget he produces, to break even (neither make a profit nor incur a loss) in a given month?
Choices:
x/(r - y)
x
x/r
x/y
Answer: A
Question: Let n~ be defined for all positive integers n as the remainder when (n - 1)! is divided by n.
What is the value of 34~ ?
Choices:
1
2
0
31
Answer: C
Question: In a weight-lifting competition, the total weight of Joe's two lifts was 450 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?
Choices:
250
325
350
400
Answer: A
Question: The ratio by weight, measured in pounds, of books to clothes to electronics in a suitcase initially stands at 5:4:2. Someone removes 9 pounds of clothing from the suitcase, thereby doubling the ratio of books to clothes. How many pounds do the electronics in the suitcase weigh?
Choices:
8
9
10
11
Answer: B
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 10 sq. feet, how many feet of fencing will be required?
Choices:
40
68
21
78
Answer: C
Question: if x-y-z = 0,3 x+4y+3z = 4,5x+2y+7z = 22 ,what is the value of z?
Choices:
3
5
2
1
Answer: A
Question: The output of a factory is increased by 10% to keep up with rising demand. To handle the holiday rush, this new output is increased by 20%. By approximately what percent would the output of the factory now have to be decreased in order to restore the original output?
Choices:
24%
30%
32%
79%
Answer: A
Question: A boat with still water speed of a is traveling upstream where the streams speed is b. After covering certain distance s, the boat turns back and tries to come to the starting place. But the boat stops at 3/4th of the intended distance due to a technical fault. What is the ratio of the time taken for the return journey to that of the upstream journey.
Choices:
3(a - b)/4(a + b)
3(a + b)/4(a - b)
4/3
4/8
Answer: A
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Choices:
6
7
9
1
Answer: C
Question: If p and q are the roots of the equation x2 - bx + c = 0, what is the equation if the roots are (pq + p + q) and (pq - p - q)?
Choices:
x2 - 2cx + (c2 - b2) = 0
bcx2 - 2(b + c)x + c2 = 0
x2 + 2bx - (c2 - b2) = 0
None
Answer: A
Question: An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 2/3 %, then the amount invested in each share was?
Choices:
35000
29977
26777
19871
Answer: A
Question: The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 2: 00 p.m., at what time were there 32 million bacteria in the dish?
Choices:
8: 00 p.m.
6: 00 a.m.
8: 00 a.m.
10: 00 a.m.
Answer: C
Question: If a and b are positive integers and x = 9^a and y = 5^b, which of the following is a possible units digit of xy?
Choices:
4
5
7
8
Answer: B
Question: If n is a prime number greater than 3, what is the remainder when n^2 is divided by 11?
Choices:
1
2
3
5
Answer: C
Question: A train,130 metres long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. What is the length of the bridge?
Choices:
225
235
245
260
Answer: C
Question: Mike is 50% less efficient than Alice. How much time will they, working together, take to complete a job which Alice alone could have done in 15 days?
Choices:
10 days
9 days
18 days
15 days
Answer: B
Question: A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 11 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
Choices:
1,320
165
315
220
Answer: B
Question: A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?
Choices:
256.27
256.23
256.21
256.25
Answer: D
Question: In a race with 30 runners where 5 trophies will be given to the top 7 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
Choices:
8^9 ways
7^5 ways
8^7 ways
8^6 ways
Answer: B
Question: Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 40 kg of fresh grapes?
Choices:
5 kg
2.5 kg
10 kg
none of these
Answer: A
Question: A can do half the work in one day where as B can do it full. B can also do half the work of C in one day. Ratio in their efficiency will be?
Choices:
1:2:9
1:2:5
1:2:4
1:3:4
Answer: C
Question: How many integers C are prime numbers in the range 200 < C < 220?
Choices:
1
3
4
5
Answer: A
Question: In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of
Choices:
Rs. 6500
Rs. 6240
Rs. 9600
Rs. 9800
Answer: B
Question: The product of the ages of Syam and Sunil is 240. If twice the age of Sunil is more than Syam's age by 4 years, what is Sunil's age?
Choices:
9
10
11
12
Answer: D
Question: The edge of a cube is 6a cm. Find its surface?
Choices:
126a2 cm2
256a2 cm2
150a2 cm2
216a2 cm2
Answer: D
Question: 252 can be expressed as a product of primes as:
Choices:
2 x 2 x 3 x 3 x 7
2 x 2 x 3 x 3 x 6
2 x 2 x 3 x 3 x 1
2 x 2 x 3 x 3 x 2
Answer: A
Question: If x > 0, x/5 + x/25 is what percent of x?
Choices:
24%
37 1/2%
60%
75 %
Answer: A
Question: One card is drawn from a pack of 52 cards. What is the probability that the card drawn is a queen of club or a king of heart?
Choices:
1/26
3/17
4/19
5/27
Answer: A
Question: In how many different number of ways 5 men and 3 women can sit on a shopa which can accommodate persons?
Choices:
42
240
250
260
Answer: A
Question: Right now, the ratio between the ages of Sandy and Molly is 4:3. After 6 years, Sandy’s age will be 34 years. What is Molly's age right now?
Choices:
15
18
21
24
Answer: C
Question: What is the length of the longest pole which can be kept in a room 12 m long, 5 m broad and 3 m high?
Choices:
9
11
13.34
None
Answer: C
Question: an article with cost price of 245 is sold at 34% profit. what is the selling price?
Choices:
328
300
207
310
Answer: A
Question: For any positive integer n, the sum of the first n positive integers equals [n(n+1)]/2.
What is the sum of all the even integers between 99 and 181?
Choices:
4890
5280
5740
6320
Answer: C
Question: Find the roots of the quadratic equation: x2 + 2x - 15 = 0?
Choices:
-5, 3
-3, 5
-3, -5
5, 2
Answer: A
Question: What is the probability of creating a three digit number with exactly two consecutive primes as digits?
Choices:
9/250
9/125
21/250
51/500
Answer: D
Question: Which of the following is not a perfect square of an integer?
Choices:
529
441
450
484
Answer: C
Question: A man has Rs. 560 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
105
37
90
28
Answer: A
Question: Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
Choices:
87
76
56
21
Answer: D
Question: How many multiples of 3 are there between 81 and 358?
Choices:
95
93
97
98
Answer: B
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
62.5
67.5
62.5
22.5
Answer: A
Question: Population is 21000. Population increases by 10% every year, then the population after 3 years is?
Choices:
27951
36621
26621
26821
Answer: A
Question: If Leo gains 10 pounds, he will weigh 50% more than his sister Kendra. Currently their combined weight is 150 pounds. What is Leo's current weight?
Choices:
86
92
98
104
Answer: A
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
2.88
2.86
2.82
2.81
Answer: A
Question: A rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered.If the area of the field is 600 sq.ft, how many feet of fencing will be required ?
Choices:
70feet
32feet
12feet
55feet
Answer: A
Question: Beth received 1/10 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
Choices:
2/7
3/10
7/20
4/9
Answer: D
Question: Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:
Choices:
85
90
95
100
Answer: A
Question: A jar contains 12 marbles consisting of an equal number of red, green, and blue marbles. Three marbles are removed from the jar and discarded. What is the probability that only two colors will remain in the jar after the Three marbles have been removed?
Choices:
1/165
1/81
11/31
3/220
Answer: D
Question: x and y are integers. x + y < 11 , and x > 6. What is the smallest possible value of x - y ?
Choices:
2
4
-2
-4
Answer: B
Question: The product of two numbers is 120 and the sum of their squares is 289. Find the sum?
Choices:
23
15
26
28
Answer: A
Question: In a certain state, gasoline stations compute the price per gallon p, in dollars, charged at the pump by adding a 7 percent sales tax to the dealer's price per gallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon d in terms of the price per gallon p charged at the pump?
Choices:
d = p-0.25
d= (p-0.18)/1.07
d = p/1.25
d = (p-0.07)/1.18
Answer: B
Question: Each of the three people individually can complete a certain job in 3, 5, and 6 hours, respectively. What is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates?
Choices:
7/30
11/30
7/18
5/18
Answer: B
Question: Machine–A produces 40% of the total output and Machine-B produces 60% of the total output. An average of nine units out of a thousand goods manufactured by Machine-A and one unit of 300 units produced by Machine-B prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective?
Choices:
b. 0.056
c. 0.0056
d. 0.00056
e. 0.000056
Answer: B
Question: Find large number from below question The difference of two numbers is 1515. On dividing the larger number by the smaller, we get 16 as quotient and the 15 as remainder
Choices:
1615
1245
1300
1635
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
2 kmph
9 kmph
4 kmph
Answer: A
Question: Bob invested one half of his savings in a bond that paid simple interest for 2 years and received $450 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 $605 as interest. What was the annual rate of interest?
Choices:
68%
12%
15%
20%
Answer: A
Question: Suppose 8 monkeys take 8 minutes to eat 8 bananas. How many monkeys would it take to eat 48 bananas in 48 minutes
Choices:
6 monkeys
7 monkeys
8 monkeys
9 monkeys
Answer: C
Question: How many odd 4-digit positive integers E that are multiples of 5 can be formed without using the digit 3?
Choices:
648
900
1296
3240
Answer: A
Question: The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is
Choices:
27 years
19 years
18 years
37 years
Answer: B
Question: A person buys an article at Rs.460. At what price should he sell the article so as to make a profit of 18%?
Choices:
542
772
662
521
Answer: A
Question: The number of boxes in a warehouse can be divided evenly into 12 equal shipments by boat or 32 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?
Choices:
33
96
81
162
Answer: B
Question: If P(A) = 3/5 and P (B) = 2/5, find P (A n B) if A and B are independent events.
Choices:
6/25
8/25
2/13
3/17
Answer: A
Question: Suppose you work for a manufacturing plant that pays you $12.50 an hour plus $0.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $580 (before payroll deductions)?
Choices:
500
600
700
800
Answer: A
Question: By the how much is two-fifth of 200 greater than three -fifths of 125?
Choices:
3
5
30
None of these
Answer: B
Question: The respective heights and volumes of a hemisphere and a right circular cylinder are equal, then the ratio of their radii is :
Choices:
1.225
3.225
1.825
0.225
Answer: A
Question: Find the odd man out. 187, 264, 386, 473, 682, 781
Choices:
386
781
682
564
Answer: A
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 16. What is the middle number?
Choices:
29
36
34
35
Answer: B
Question: The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s?
Choices:
23 8/3%
23 1/3%
28 1/3%
13 1/3%
Answer: B
Question: On a wedding catering service, An experienced chef can prepare a service for a wedding in 12 hours while an novice chef would finish the preparations in 24 hours.
If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes?
Choices:
3
4
6
10
Answer: D
Question: If 11 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
Choices:
10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
11 × 10
55
45
Answer: C
Question: A reduction of 22% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
s.2.82
s.2.5
s.2.2
s.2.1
Answer: A
Question: Source: Knewton
A cyclist's speed varies, depending on the terrain, between 6.0 miles per hour and 13.0 miles per hour, inclusive. What is the maximum distance, in miles, that the cyclist could travel in 7 hours?
Choices:
56
70
91
140
Answer: C
Question: On a certain transatlantic crossing, 30 percent of a ship's passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship's passengers held round-trip tickets?
Choices:
40%
50%
60%
75%
Answer: D
Question: There are 400 female managers in a certain company. Find the total number of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers.
Choices:
900
1000
1100
None of these
Answer: B
Question: If a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet, what is the length of each of the shorter sides?
Choices:
7
8
13
26
Answer: B
Question: Two trains travelling in the same direction at 50 and 40 kmph completely pass off another in 1 1/2 minute. If the length of the first train is 125 m, what is the length of the second train?
Choices:
287 m
125 m
250m
167 m
Answer: B
Question: The function f is defined by subtracting 25 from the square of a number and the function s is defined as the square root of one-half of a number. If s(f(x))=10, then which of the following is a possible value of x?
Choices:
-15
0
5
25
Answer: A
Question: A train 150 m long is running with a apecd of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going?
Choices:
7 sec.
9 sec.
11 sec.
None
Answer: B
Question: If 30% of the 880 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class?
Choices:
616
550
430
880
Answer: A
Question: A rectangular tiled patio is composed of 96 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 96 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?
Choices:
6
8
13
28
Answer: B
Question: If M is the least common multiple of 90,196, and 300, which of the following is NOT a factor of M?
Choices:
600
900
2,100
4,900
Answer: A
Question: A sum of Rs.66000 is divided into three parts such that the simple interests accrued on them for six, two and eleven years respectively may be equal. Find the amount deposited for 11 years.
Choices:
2000
4500
3000
6000
Answer: D
Question: A watch was sold at a loss of 10%. If the watch was sold for $12 more, there would have been a gain of 6%. What is the cost price?
Choices:
$65
$75
$85
$95
Answer: B
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
Choices:
16 2/6%
16 2/3%
16 9/3%
16 1/3%
Answer: B
Question: If (x+2) is the HCF of x2 + ax + b and x2 + cx + d , then which one of the following is correct ?
Choices:
2a + b = 2c + d
b + 2c = 2a + d
b - 2c = 2a - d
None
Answer: B
Question: Which of the following is equal to the value of 2^4 + 2^4 + 3^4 + 3^4 + 3^4 ?
Choices:
2^5 + 3^9
2^5 + 3^8
2^5 + 3^5
2^5 + 3^7
Answer: C
Question: 9. On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 6 miles per hour while the second runner jogs due east at a constant rate that is 2 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after 1/2 hour ?
Choices:
7
5
12
14
Answer: B
Question: In store A there are 10 pairs of pants for every 30 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?
Choices:
2:3.
4:9
3:4.
2:5.
Answer: B
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Choices:
18 years
20 years
22 years
24 years
Answer: C
Question: In feb Mrs Bil's earnings were 70 percent of the Bil family's total income. In June Mrs Bil earned 10 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Bil's earnings were approximately what percent of the Bil family's total income ?
Choices:
72
78
37
27
Answer: A
Question: Kurt, a French painter, has 9 jars of paint: 4 jars of yellow paint, 2 jars of red paint, and 3 jars of brown paint. Kurt pours the contents of 3 jars of paint into a new container to make a new color, which he will name according to the following conditions:
The paint will be namedBrun Yif it contains 2 jars of brown paint and no yellow.
The paint will be namedBrun Xif the paint contains 3 jars of brown paint.
The paint will be namedJaune Xif the paint contains at least 2 jars of yellow.
The paint will be namedJaune Yif the paint contains exactly 1 jar of yellow.
What is the probability M that the new color will be one of theJaunecolors?
Choices:
37/42
1/21
4/9
5/9
Answer: A
Question: Tough and Tricky questions: Word Problems.
If Bill's salary increased by 16 percent, he would earn $812 per month. If instead, his salary were to increase by only 10 percent, how much money T would he earn per month?
Choices:
$754
$770
$782
$893
Answer: B
Question: The number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 28 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?
Choices:
33
84
81
162
Answer: B
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
Choices:
2/5
3/5
11/15
7/15
Answer: D
Question: When a positive integer A is divided by 7 and 3, the remainders obtained are 1 and 2, respectively. When the positive integer B is divided by 7 and 3, the remainders obtained are 1 and 2, respectively. Which of the following is a factor of (A - B)?
Choices:
14
21
28
36
Answer: B
Question: A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.
Choices:
36 kmph
26 kmph
46 kmph
50 kmph
Answer: A
Question: Of all the homes on Gotham Street, 2/3 are termite-ridden, and 2/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
Choices:
b) 3/15
c) 4/5
d) 2/5
e)1/5
Answer: C
Question: How many different four letter words can be formed (the words need not be meaningful) using the letters of the word MEDQTERRANEAN such that the first letter is E and the last letter is R?
Choices:
45
46
49
56
Answer: D
Question: A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 160 square feet and its length is 6 feet longer than its width. If the uniform width between the rug and room is 6 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?
Choices:
456
40
46
104
Answer: A
Question: If the total income of a state increases by 50% and the population of the state increases by 20%, What is the percent change in per capita income for the state?
Choices:
A net increase of 30%
A net increase of 25%
A net increase of 20%
A net decrease of 20%
Answer: B
Question: In a box of 10 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Choices:
7/15
8/17
9/22
10/23
Answer: A
Question: If a young child was 15 months old one year ago, how old was the child, in months, x months ago?
Choices:
x − 12
15 − x
24 − x
27 − x
Answer: D
Question: How many positive factors do 180 and 90 have in common?
Choices:
12
16
18
24
Answer: A
Question: A car is purchased on hire-purchase. The cash price is $22 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly installments. Interest is charged at 12% p.a. What is the monthly installment?
Choices:
$504
$515
$528
$537
Answer: C
Question: A motor cyclist participant of a race says "We drove with the speed of 10 miles an hour one way, but while returning because of less traffic we drove on the same route with 15 miles per hour." What was their average speed in the whole journey?
Choices:
12 miles/hour
11 miles/hour
13 miles/hour
14 miles/hour
Answer: A
Question: Yesterday it took Robert 4 hours to drive from City A to City B. Today it took Robert 2.5 hours to drive back from City В to City A along the same route. If he had saved 15 minutes in both trips, the speed for the round trip would be 70 miles per hour. What is the distance between city A and city B?
Choices:
120
150
210
300
Answer: C
Question: A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?
Choices:
1:2
1:1
3:2
5:3
Answer: A
Question: A sum amounts to Rs.5292 in 2 years at the rate of 5% p.a. If interest was compounded yearly then what was the principal?
Choices:
s.5000
s.4500
s.4800
s.5800
Answer: C
Question: In a certain country 1/5 of 8 = 4. Assuming the same proportion, what would be the value of 1/4of 16 ?
Choices:
12
10
16
14
Answer: B
Question: How many litres of pure acid are there in 8 litres of a 20% solution?
Choices:
1.5
1.6
2.4
None
Answer: B
Question: There are 5 boxes numbered from 1 to 5. Either a red ball or a green ball will be placed in each box in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. How many different ways can this be done?
Choices:
15
19
21
23
Answer: A
Question: {-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 5, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number selected will be a solution of the equation (x-5)(x+10)(2x-5) = 0?
Choices:
1/6
1/4
1/3
1/2
Answer: B
Question: Anitha runs her own baking company.This morning,Anitha worker baked 810 plum pies.They also baked some more after lunch. In total,they baked 888 plum pies. How many plum pies did Anitha workers bake after lunch?
Choices:
56
78
13
34
Answer: B
Question: Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit ?
Choices:
Rs. 2380
Rs. 3690
Rs. 3864
None of these
Answer: A
Question: If |7x+2| = 16, then find the product of the values of x?
Choices:
-5.14
-7.18
-8.62
5.69
Answer: A
Question: There are 16 teams in a soccer league, and each team plays each of the others once. Given that each game is played by two teams, how many total games will be played?
.
Choices:
230
196
169
120
Answer: D
Question: For 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is?
Choices:
3 : 4
3 : 5
3 : 7
4 : 5
Answer: A
Question: x and y are positive integers. When x is divided by 15, the remainder is 2, and when x is divided by 10, the remainder is 7. When y is divided by 9, the remainder is 5, and when y is divided by 7, the remainder is 2. What is the least possible value of x * y?
Choices:
390
388
391
392
Answer: C
Question: The divisor is 21, the quotient is 14 and the remainder is 7.
What is the dividend?
Choices:
394
302
301
294
Answer: C
Question: Anne and Beth will participate in a sack race (In a sack race, people hop to reach the finish line). In the time that Anne takes 3 hops, Beth takes 4 hops but the distance covered by Anne in 4 hops is equal to distance covered by Beth in 5 hops. What is the ratio of Anne’s speed: Beth’s speed?
Choices:
12 : 20
15 : 16
1 : 1
5 : 3
Answer: B
Question: In a partnership between A, B and C. A's capital is Rs.8000. If his share of a profit of Rs.800 is Rs.300 and C's share is Rs.230, what is B's capital?
Choices:
Rs.7800
Rs.7200
Rs.7400
Rs.8400
Answer: B
Question: Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
Choices:
50% p.a
20% p.a
27% p.a
23% p.a
Answer: B
Question: 70% of a number is added to 120, the result is the same number. Find the number?
Choices:
400
1687
997
121
Answer: A
Question: The population of a town is 20000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years?
Choices:
4500
5120
5230
12800
Answer: D
Question: What will be the day of the week 15th August, 2010?
Choices:
Sunday
Saturday
Monday
THUSAW
Answer: A
Question: Sony and Johnny caught 50 fishes. Sony caught four times as many as Johnny. How many fishes did Johnny catch?
Choices:
16
10
38
42
Answer: B
Question: Employees at a company will vote for an executive team of five people from eight qualified candidates. The executive team consists of a president, a treasurer, and three warrant officers. If an executive team is considered different if any of the same people hold different offices, then how many possible executive teams F could be selected from the eight candidates?
Choices:
120
210
1120
6720
Answer: C
Question: What is the unit digit in 7^105?
Choices:
5
7
9
None of them
Answer: B
Question: If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $83. If $2,000 is the total amount invested, how much is invested at 8 percent?
Choices:
$650
$750
$850
$950
Answer: A
Question: An equilateral triangle is inscribed in a circle, as shown above. What is the area of the shaded region, if the area of the circle is 2?
Choices:
2 - 3√3/∏
2 - 3√3/4
2 - 3√3/(2∏)
2∏ - 3√3/(2∏)
Answer: C
Question: Let X be the smallest positive integer such that 10 and 14 are factors of 250 + X, so the value of X is:
Choices:
10
20
30
40
Answer: C
Question: Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Q’s amount. At the end of the year 20% profit was earned which was equal to 98,000. What was the amount invested by R?
Choices:
1,05,000
1,75,000
Data inadequate
None of these
Answer: A
Question: In how many H ways can a four-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password?
Choices:
864
900
936
1,296
Answer: C
Question: How many of the positive factors of 16 are not factors of 20
Choices:
2
4
1
5
Answer: A
Question: Line m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 8) and (14,4). What is the slope of line m?
Choices:
-1
0
1
2
Answer: C
Question: A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6:7:8:9:10. In all papers together, the candidate obtained 60% of the total marks then, the number of papers in which he got more than 50% marks is
Choices:
3
4
5
7
Answer: B
Question: How many integers are between 4 and 87/8, inclusive?
Choices:
5
7
9
10
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:
21 years
16 years
23 years
24 years
Answer: B
Question: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 3 years ago?
Choices:
11
12
14
16
Answer: A
Question: Margaret is 7 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages
Choices:
19yrs
30yrs
40yrs
50yrs
Answer: A
Question: Barbata invests $2800 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?
Choices:
3000
1000
1400
2400
Answer: C
Question: If December 3rd, 1999 is a Friday, what day is January 5th, 2000?
Choices:
Wednesday
Friday
Saturday
Sunday
Answer: A
Question: In a class of 40 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 11 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
Choices:
4
5
6
7
Answer: A
Question: If the price of petrol increases by 25% and Benson intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?
Choices:
A)8%
C)10%
D)6%
E)9%
Answer: A
Question: If 50 apprentices can finish a job in 4 hours, and 30 journeymen can finish the same job in 6 hours, how much of the job should be completed by 10 apprentices and 15 journeymen in one hour?
Choices:
29/180
26/143
2/15
39/121
Answer: C
Question: A taxi leaves Point A 3 hours after a bus left the same spot. The bus is traveling 30 mph slower than the taxi. Find the speed of the taxi, if it overtakes the bus in three hours.
Choices:
60
48
36
64
Answer: A
Question: What is the 8th digit to the right of the decimal point in the decimal equivalent of 73/11?
Choices:
3
4
5
2
Answer: A
Question: In a certain deck of cards, each card has a positive integer written on it. In a multiplication game, a child draws a card and multiples the integer on the card by the next larger integer. If each possible product is between 28 and 200, then the least and greatest integers on the card could be
Choices:
3 and 20
5 and 13
4 and 14
5 and 14
Answer: B
Question: Marcus deposited $8,000 to open a new savings account that earned five percent annual interest, compounded semi-annually. If there were no other transactions in the account, what the amount of money in Marcuss account one year after the account was opened?
Choices:
$8,205
$8,400
$8,405
$8,500
Answer: C
Question: If a is the interest on y and y is the interest on z, the rate and time is the same on both the cases. What is the relation between a, y and z?
Choices:
Y^3 = aZ
Y^3 = aY
Y^1 = aZ
Z^3 = aZ
Answer: A
Question: The table shows the number of calls received by each of five operators during each of 4 one-hour periods. For which operator was the standard deviation of the numbers of calls received during these 4 periods the least
Choices:
Operator B: 4, 5, 5, 6
Operator C: 8, 2, 5, 5
Operator D: 6, 4, 4, 6
Operator E: 3, 4, 5, 8
Answer: D
Question: On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did not run on Saturday, but she ran twice the number of miles on Sunday that Bill ran on Sunday. If Bill and Julia ran a total of 32 miles on Saturday and Sunday, how many miles did Bill run on Sunday?
Choices:
6
7
8
9
Answer: D
Question: If a > 1 and b = 2^(a −1), then 4^a =
Choices:
4b^2
b^2
b^2/4
b^2/16
Answer: A
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 8 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
30/29
30/14
30/13
30/82
Answer: B
Question: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 500. How much did he have with him in the beginning?
Choices:
s 1250
s 300
s 450
s 550
Answer: A
Question: If a store owner increases a product’s price by 20 percent and then increases this price by another 15 percent, what percent of the original price is the total price increase?
Choices:
35%
38%
65%
135%
Answer: B
Question: Today is Peter's birthday. One year, from today he will be twice as old as he was 9 years ago. How old is Peter today ?
Choices:
19 years
17 years
23 years
21 years
Answer: A
Question: In a certain game, you perform three tasks. You flip a coin, and success would be tail. You roll a single die, and success would be a six. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning?
Choices:
23/48
15/32
14/36
17/56
Answer: A
Question: Kathleen can paint a room in 3 hours, and Anthony can paint an identical room in 4 hours. How many hours would it take Kathleen and Anthony to paint both rooms if they work together at their respective rates?
Choices:
4/3
15/8
24/7
15/4
Answer: C
Question: The marks obtained by Vijay and Amith are in the ratio 4:4 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
Choices:
3:2
6:5
6:2
6:3
Answer: A
Question: A work as fast as B. If B can complete a work in 24days independently,the number of days in which A and B can together finish the work in?
Choices:
3days
8days
5days
6days
Answer: B
Question: one person Tharak speed with the current is 15 km/hr and the speed of the current is 6 km/hr. Tharak's speed against the current is:
Choices:
1 km/hr
2 km/hr
3 km/hr
4 km/hr
Answer: C
Question: An investor bought 200 shares of stock in ABCD company in 1990. By 1992, the investment was worth only 2/3 of its original value. By 1995, the 200 shares were worth only 1/5 of their value in 1990. By what percent did the value of the investment drop from 1992 to 1995?
Choices:
70%
33 1/3%
50%
66 2/3%
Answer: A
Question: Pat wants to invest at the local bank that offers a rate of 10% per annum per year. If the interest is compounded half-yearly, how much will Pat have to invest to get Rs. 20000 at the end of a year?
Choices:
18,140.59
18,590.41
18,950.14
18,150.49
Answer: A
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Choices:
23.17 cm
28.17 cm
23.77 cm
23.57 cm
Answer: D
Question: A train when moves at an average speed of 40 kmph, reaches its destination on time. When its average speed becomes 35 kmph, then it reaches its destination 15 minutes late. Find the length of the journey
Choices:
50km
60km
70km
80km
Answer: C
Question: In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates (2, 0), (7, 4), and (7, -4)?
Choices:
19
20
21
22
Answer: B
Question: The area of square ABCD above is 22. The shaded region is the intersection of the square and a circular region centered at C. What is the area of the shaded region?
Choices:
22−11/2∗π
9+9/4∗π
9+9/2∗π
9/2−9/4∗π
Answer: A
Question: If 9 is added to twice a number and this sum is multiplied by 3, the result is the same as if the number is multiplied by 4 and 13 is added to the product. What is the number?
Choices:
-7
-9
-10
-11
Answer: A
Question: A man can row with a speed of 14 kmph in still water. If the stream flows at 8 kmph, then the speed in downstream is?
Choices:
22
20
82
34
Answer: A
Question: A shopkeeper sold an article offering a discount of 4% and earned a profit of 32%. What would have been the percentage of profit earned if no discount was offered?
Choices:
28.5
30.5
32.5
37.5
Answer: D
Question: The denominator of a fraction is 1 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 3/5. Find the fraction?
Choices:
2/3
5/9
5/7
7/11
Answer: B
Question: How many different subsets of the set {0, 1, 2} do not contain 0?
Choices:
B.7
C.1
D.4
E.2
Answer: C
Question: A, B and C completed a piece of work costing Rs.1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio 5 : 6 : 4, how much amount will be received by A?
Choices:
Rs. 600
Rs.900
Rs.750
Rs.850
Answer: A
Question: The number of defects in the first five cars to come through a new production line are 9, 7, 11, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 12 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median?
I. 3
II. 7
III. 12
Choices:
II only
III only
I and III only
I, II, and III
Answer: B
Question: If x and y are numbers such that (x+6)(y-6)=0, what is the smallest possible value of x^2 + y^2
Choices:
16
25
36
49
Answer: C
Question: The ratio between the sale price and the cost price of an article is 8:5. What is the ratio between the profit and the cost price of that article?
Choices:
1:2
2:5
3:5
25
Answer: C
Question: Which answer is closest to the √17?
Choices:
a 4.1
c 4.4
d 4.5
e 4.6
Answer: A
Question: Find the value of 72518 x 9999 = m?
Choices:
436567874
653658791
725117481
725107482
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
150
277
258
191
Answer: A
Question: A man buys 58 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent?
Choices:
7.7 %
24.82 %
13.6 %
27.82 %
Answer: B
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 100, the runs scored by C are?
Choices:
58
60
61
12
Answer: B
Question: If 0.75: x :: 5:11, then x is equal to:
Choices:
1.65
1.2
1.3
None of these
Answer: A
Question: The size of a flat-screen television is given as the length of the screen’s diagonal. How many square inches greater is the screen of a square 28-inch flat-screen television than a square 25 -inch flat-screen television?
Choices:
79.5
85.5
75.4
72.5
Answer: A
Question: If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is?
Choices:
Rs. 450
Rs. 460
Rs. 480
Rs. 580
Answer: C
Question: In how many different number of ways 6 men and 4 women can sit on a shopa which can accommodate persons?
Choices:
210
90
250
270
Answer: B
Question: Ayush was born two years after his father's marriage. His mother is five years younger than his father but 22 years older than Ayush who is 10 years old. At what age did the father get married ?
Choices:
23years
24years
25years
26years
Answer: C
Question: Find the odd man out. 187, 264, 326, 473, 682, 781
Choices:
326
781
682
473
Answer: A
Question: An old priest fell on a bottom of the well of a church.
The well is 16 inches deep.
At day time, the old priest climbs 5-inches but when at dark he slip back 4 inches.
In how many days priest will come out of the well ?
Choices:
12-days
11-days
19-days
10-days
Answer: A
Question: there is 6 letter d,f,g,h,r,t.then how many word of 2 letter can be form through these letters?
Choices:
360
48
30
24
Answer: C
Question: what is 5+7
Choices:
4
10
12
11
Answer: C
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
Choices:
1/2
1/9
1/5
1/1
Answer: A
Question: If 233/0.233 = 23.3/x, what is the value of x
Choices:
23.3
0.233
0.0233
None of these
Answer: C
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1305 as rent for parking his cars, what is the total rent paid by all the four agencies?
Choices:
2778
1279
6150
7134
Answer: D
Question: Latha took a loan of Rs. 2000 with simple interest for as many years as the rate of interest. If she paid Rs.180 as interest at the end of the loan period, what was the rate of interest?
Choices:
4
7
3
9
Answer: C
Question: A four years NSC certificate was purchased for Rs. 500 with Rs. 1000 being the maturity value. Find the rate of S.I.
Choices:
22%
16%
25%
32%
Answer: C
Question: The length of a bridge in meters, which a train 90-meters long and traveling at 45 km/hr can cross in 30 seconds is?
Choices:
215
265
285
375
Answer: C
Question: If 20 typists can type 60 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
Choices:
200
270
300
310
Answer: B
Question: I lost Rs 68 in two races. My loss in the second race is Rs 6 more than my lose in the first race. My friend lost Rs 4 more than me in the second race. Then what is the amount lost by my friend in the second race?
Choices:
Rs 41
Rs 31
Rs 51
Rs 81
Answer: A
Question: In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 600. Find the average mark scored by all the three boys?
Choices:
826
207
269
288
Answer: D
Question: 1/0.08 is equal to
Choices:
2.5
12.5
.25
None of these
Answer: B
Question: T = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set T and one integer from set B. What is the probability that the sum of the two integers will equal 9 ?
Choices:
0.20
0.25
0.30
0.33
Answer: A
Question: A batsman in his 12th innings makes a score of 70 and thereby increases his average by 3 runs. What is his average after the 12th innings if he had never been ‘not out’?
Choices:
37
44
45
46
Answer: A
Question: A man can row upstream 10 kmph and downstream 20 kmph. Find the man rate in still water and rate of the stream.
Choices:
5,5
15,5
10,5
None of these
Answer: B
Question: On an order of 5 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of?
Choices:
16 8/3%
16 2/3%
16 2/8%
16 1/3%
Answer: B
Question: Let ABCD be a convex quadrilateral with BA = BC and DA = DC. Let E and F be the
midpoints of BC and CD respectively, and let BF and DE intersect at G. If the area of CEGF
is 50, what is the area of ABGD?
Choices:
200
300
400
500
Answer: A
Question: Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 15 MPH between the 2 friends until the friends meet. How many miles does the pigeon travel?
Choices:
66
80
45
96
Answer: C
Question: What is the sum of all the multiples of 8 between 30 and 100?
Choices:
72
547
104
624
Answer: D
Question: Look at this series: 201, 202, 204, 207, ... What number should come next?
Choices:
211
209
210
212
Answer: A
Question: The functions f and g are defined for all the positive integers n by the following rule: f(n) is the number of perfect squares less than n and g(n) is the number of primes numbers less than n. If f(x) + g(x) = 16, then x is in the range:
Choices:
30 < x < 37
31 < x < 37
31 < x < 38
32 < x < 38
Answer: B
Question: In how many ways can 8 different gifts be divided among four children such that each child receives exactly two gifts?
Choices:
(4!)^4
8!/(2!)^4
8!/4!
4^16
Answer: B
Question: Of 10 applicants for a job, 3 had at least 5 years of prior work experience, 4 had advanced degrees, and 2 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees?
Choices:
9
5
4
8
Answer: B
Question: The market value of a certain machine decreased by 25 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later?
Choices:
$5,600
$3,200
$4,000
$800
Answer: C
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
Choices:
17 m
87 m
27 m
34 m
Answer: A
Question: Which of the following values is the greatest
Choices:
b) 22% of 78
c) 50% of 67
d) 44% of 56
e) 55% of 45
Answer: B
Question: If an average hard drive had a capacity of 0.3 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
Choices:
3072
768
1024
1536
Answer: A
Question: If 42.24 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of k + m ?
Choices:
7
8
9
10
Answer: A