antoine-444/aqua_rat_dataset huggingface dataset:
Question: 5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 2553, how much was it in the beginning?
Choices:
2776
4400
2871
3162
Answer: D
Question: Look at this series: 0.7, 2.1, ____, 18.9, 56.7, ... What number should fill the blank?
Choices:
6.3
6.2
6.1
4.3
Answer: A
Question: There are 11 software engineers and 7 civil engineers in a company. Theyare selecting member for row. In how many ways can they be seated in a row so that no two of the civil engineers will sit together?
Choices:
9!×11!/4!
11!×12!/5! ways
9!×5!/4!
5!×6!/7!
Answer: B
Question: A train 1100 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
256 m
200 m
278 m
287 m
Answer: B
Question: A man had 38 sheep. he wanted to divide them equally among his 6 children. How many sheep shall he keep to himself, so as to equally divide remaining sheep among his 6 children?
Choices:
5
4
2
8
Answer: C
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
Choices:
702
756
812
832
Answer: B
Question: How many keystrokes are needed to type numbers from 1 to 1000?
Choices:
2890
2893
3001
None of these
Answer: B
Question: If x is an integer, then x(x – 1)(x – k) must be evenly divisible by seven when k is any of the following values EXCEPT
Choices:
-2
-1
2
5
Answer: D
Question: The ratio, by weight, of coffee to mate to water in a certain cup of coffee is 6:2:15. The coffee is altered so that the ratio of coffee to mate is halved while the ratio of coffee to water is doubled. If the altered coffee will contain 16 grams of mate, how many grams of water does it contain after alteration?
Choices:
15
30
60
100
Answer: B
Question: A 210 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choices:
290
270
260
250
Answer: A
Question: A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 10 multiples of 14, how many multiples of 7 are there in Q?
Choices:
19
18
17
16
Answer: A
Question: The price of stock decreased by 8% last year and rose by 10% this year. What is the net percentage change in the price of the stock?
Choices:
0.8%
1.2%
1.6%
2%
Answer: B
Question: A train is 360 meter long is running at a speed of 50 km/hour. In what time will it pass a bridge of 140 meter length.
Choices:
36 seconds
46 seconds
56 seconds
None of these
Answer: A
Question: Some people went for vacation. unfortunately it rained for 13 days when they were there. But whenever it rained in the morning, they had clean afternoon and vice versa. In all they enjoyed 11 morning and 12 afternoons. How many days did they stay there totally
Choices:
17 days
18 days
19 days
15 days
Answer: B
Question: 400 students took a mock exam in Delhi, 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?
Choices:
100
120
140
180
Answer: A
Question: List I: 3, 6, 8, 11
List II: x, 3, 6, 8, 11
Choices:
6
7
8
9
Answer: B
Question: Solve the quickfire maths brain teaser âˆš16% = ?
Choices:
40%
85%
19%
29%
Answer: A
Question: In how many ways letters of the word LEADER be arranged?
Choices:
78
69
58
120
Answer: D
Question: If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S?
I. 1/8
II. 1/10
III. 1/11
Choices:
I only
III only
II and III only
II only
Answer: D
Question: If x = y+3+4.5x and y = x+24, what is the value of x/y ?
Choices:
-7/20.
-1/2.
5/6.
1.5.
Answer: B
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
Choices:
Rs. 9800
Rs. 9900
Rs. 9990
Rs. 10000
Answer: D
Question: If a2 - b2 = 5 and a*b = 2, find a4 + b4.
Choices:
72
25
92
33
Answer: D
Question: 8 red card number 1-8 put in one box， 8 blue card number 1-8，put in another box, take one card from each of the box，what is the probability that the number match each other?
Choices:
1/4
1/8
1/16
1/64
Answer: B
Question: A contractor undertakes to do a job within 100 days and hires 10 people to do it. After 20 days, he realizes that one fourth of the work is done so he fires 2 people. In how many more days M will the work get over?
Choices:
70
M=75
80
100
Answer: B
Question: A and B can finish a work in 16 days while A alone can do the same work in 20 days. In how many days B alone will complete the work?
Choices:
48 days
80 days
31 days
22 days
Answer: B
Question: List L: ABC, BCA, CAB
In list L above, there are 6 positive integers, where each of A, B, and C is a different nonzero digit. Which of the following is the sum of all the positive integers that MUST be factors of the sum of the integers in list L?
Choices:
114
152
161
488
Answer: D
Question: Robert's salary was decreased by 60% and subsequently increased by 60%. how much percentage does he lose?
Choices:
20%
25%
36%
50%
Answer: C
Question: If 2x = 3y = 10, then 6xy = ?
Choices:
100
120
40
20
Answer: A
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 14 cars and that every fuel tank contains 55 liters and they are all empty, how much money total will it cost to fuel all cars?
Choices:
380$
525$
456$
480$
Answer: B
Question: An investment of $1000 was made in a certain account and earned interest that was compounded annually. The annual interest rate was fixed for the duration of the investment, and after 12 years the $1000 increased to $4000 by earning interest. In how many years after the initial investment was made the $1000 have increased to $8000 by earning interest at that rate?
Choices:
18
20
24
30
Answer: A
Question: When a merchant imported a certain item, she paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $111.30, what was the total value of the item?
Choices:
$2590
$2760
$2940
$3150
Answer: A
Question: If x, y, and z are consecutive positive odd integers, not necessarily in that order, which of the following must be true? I. xy> z^4 II. (x + z)^3 > y III. x+y>z^4
Choices:
II only
III only
I,II only
I,III only
Answer: A
Question: Four of the five parts numbered as (a), (b), (c), (d) and (e)in the following equations are exactly equal. You have to find out the part that is not equal to the other parts. The number of that part is the answer.
Choices:
(a + 3b)(a + 2b)
a(a + 3b) + 2b(a + 3b)
(3a + b)(a + 2b)
a(a + 2b) + 3b(a + 2b)
Answer: C
Question: A survey reveals that the average income of a company’s customers is $45,000 per year. If 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $55,000, what is the average income of the other 40 customers?
Is there a way to solve this using weighted average concept instead of doing tedious calculations?
Choices:
$35,000
$37,500
$42,500
$50,000
Answer: C
Question: ravi decides to walk from goregaon to andheri .he has reached his destination in 2 hr 15 min by 4 of the distance at 6 kmph and the rest at 8 mph . how far goregaon from andheri?
Choices:
12.6 km
13.6 km
14.6 km
15.6 km
Answer: D
Question: What is the value of 3x^2 − 1.8x + 0.6 for x = 0.6?
Choices:
0.6
0.3
1.08
2.46
Answer: A
Question: A person can row 750 metres against the stream in 11 ¼ minutes and returns in 7 ½ minutes. Then the speed of the person in in still water is :
Choices:
3 km/hr
4 km/hr
5 km/hr
6 km/hr
Answer: C
Question: A person spends 1/5th of his income on the education of his children, and 20% of the remaining on food. If he is left with Rs.576 find his income?
Choices:
Rs.900
Rs.500
Rs.1000
Rs.1200
Answer: A
Question: If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
5 * 7 * 9 = 68
Then find,
7 * 9 * 11 =?
Choices:
106
68
38
55
Answer: A
Question: Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 2. The numbers are
Choices:
12, 24, 38
12, 24, 362
2, 4, 6
12, 24, 321
Answer: C
Question: Darcy lives 1.5 miles from work. She can walk to work at a constant rate of 3 miles per hour, or she can ride the train to work at a constant rate of 20 miles per hour. If she rides the train, there is an additional x minutes spent walking to the nearest train station, waiting for the train, and walking from the final train station to her work. If it takes Darcy a total of 10 more minutes to commute to work by walking than it takes her to commute to work by riding the train, what is the value of x?
Choices:
15
15.5
30
60
Answer: B
Question: In a flower shop there were 7 flowers in each bouquet. If the seller has doubled the number of flowers in each bouquet then the new average of flowers in each bouque is
Choices:
11
14
9
None of these
Answer: B
Question: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?
Choices:
33 1/3%
37 1/2%
40%
50%
Answer: B
Question: A man can do a piece of work in 7 days, but with the help of his son, he can do it in 3 days. In what time can the son do it alone?
Choices:
7
15/2
21/4
18/5
Answer: C
Question: The number of new words that can be formed by rearranging the letters of the word 'NOTE' is ?
Choices:
290
23
120
140
Answer: B
Question: Rahul went to a shop and bought things worth Rs. 27, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
Rs 12.10
Rs 21.70
Rs 16.80
None of these
Answer: B
Question: Manu, Manju and Maya can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete work?
Choices:
15
20
25
30
Answer: A
Question: X can do a piece of work in 20days. He works at it for 10days and then Y finished it in 12days. How long will Y take to complete the work?
Choices:
12
24
29
30
Answer: B
Question: In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?
Choices:
8000
2688
1266
1912
Answer: A
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:
Choices:
267
268
750
271
Answer: C
Question: What is the smallest integer k for which 64^k > 4^22?
Choices:
5
6
7
8
Answer: D
Question: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
9/6
5/9
5/6
3/6
Answer: C
Question: Laxmi and Prasanna set on a journey. Laxmi moves northwards at a speed of 22 kmph and Prasanna moves southward at a speed of 24 kmph. How far will be Prasanna from Laxmi after 60 minutes ?
Choices:
44
28
27
18
Answer: A
Question: GINGER has 3 pairs of pants, 4 different colored dress shirts 3 sports jackets, 9 ties, and 1 pairs of dress shoes in his closet. How many different outfits can he select?
Choices:
324
290
115
352
Answer: A
Question: In a lottery, there are 10 prizes and 30 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Choices:
2/5
2/7
1/4
None
Answer: C
Question: James takes a trip and drives 7 hours from Town A to Town C at a rate of 30 miles per hour. On his way back, James drives 60 miles per hour and stops in Town B which is midway between Town A and Town C. How many hours does it take James to drive from Town C to Town B?
Choices:
1.75
1.51
1.55
2.12
Answer: A
Question: The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:
Choices:
0.004
0.04
0.0004
None of them
Answer: B
Question: Students at a school were on average 180 cm tall. The average female height was 170 cm, and the average male height was 186 cms. What was the ratio of men to women?
Choices:
5:1
5:3
4:1
3:1
Answer: B
Question: Find the one which does not belong to that group ?
Choices:
121
727
188
122
Answer: A
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:
2380
2385
2383
2381
Answer: A
Question: A cylinder has a diameter of 20 meters and a height of 15 meters. If it is filled to capacity with oil and the content is poured into smaller cylinders of 4 meter radius and 10 meter height, how many smaller cylinders will be filled to capacity?
Choices:
5
2
2
3
Answer: D
Question: Jamshid and Irwin decided to make up their own version of basketball. In addition to being able to score 2-point baskets, they created ways to score 5-, 11-, and 13-point baskets. If at halftime the product of the point values of Irwin’s baskets was 2,420, how many 11-point baskets did Irwin score?
Choices:
1
2
3
4
Answer: B
Question: I had Rs. 10,000 with me. Out of this, money I lent some money to A for 2 years at 15% simple interest. I lent the remaining money to B for an equal number of years at 18% simple interest. After 2 years, I found that A had given me Rs. 360 more as interest as compared to(b) the amount of money which I had lent to B must have been
Choices:
3,000
4,000
5,000
6,000
Answer: B
Question: A man can row his boat with the stream at 16 km/h and against the stream in 12 km/h. The man's rate is?
Choices:
9 kmph
2 kmph
4 kmph
1 kmph
Answer: B
Question: Which of the following integers is a divisor of(15!+10)?
Choices:
4
3
10
9
Answer: C
Question: The cost of producing x tools by a company is given by
C(x) = 1800 x + 5500 (in $)
a) What is the cost of 100 tools?
Choices:
185500 $
185900 $
186500 $
182500 $
Answer: A
Question: The mean of 30 values was 180. It was detected on rechecking that one value 155 was wrongly copied as 135 for the computation of the mean. Find the correct mean.
Choices:
149
152
148
180.67
Answer: D
Question: If x and y are integers, what is the least positive number of 24x+21y?
Choices:
3
6
8
9
Answer: A
Question: What is the sum of all possible 3-digit numbers that can be constructed using the digits 1, 2, and 4 if each digit can be used only once in each number?
Choices:
1221
1332
1443
1554
Answer: D
Question: Find the greatest number that will divide 40, 60 and 120 so as to leave the same remainder in each case.
Choices:
2
4
5
6
Answer: A
Question: A committee of three people is to be chosen from four married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
Choices:
24
26
30
32
Answer: D
Question: find out how many positive integers less than 60 are equal to the product of a positive multiple of 5 and an even number?
Choices:
5
9
10
11
Answer: A
Question: A side of beef lost 35 percent of its weight in processing. If the side of beef weighed 580 pounds after processing, how many pounds did it weigh before processing?
Choices:
355
737
892
1,560
Answer: C
Question: Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $78.2 after it went on sale for 15% off, what is the difference between the original price and the final price?
Choices:
$5.75
$3.40
$5.00
$6.80
Answer: A
Question: The area of a triangle is with base 4m and height 5m?
Choices:
10
30
15
11
Answer: A
Question: Three coworkers P , J , R meet for Dinner. P had 5 sandwiches, J had 3 and R had none. Both PJ share their sandwiches with R such that each one got the same amount. If R paid $ 8 to PJ, how much of $ 8 should P get? Assume both sandwiches and Dollars can be split.
Choices:
b) 3 $
c) 7 $
d) 4 $
e) 5.5 $
Answer: B
Question: A certain league has two divisions. The respective divisions had 7 and 9 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?
Choices:
31
34
36
38
Answer: A
Question: Jill is dividing her eight-person class into two teams of equal size for a basketball game. If no one will sit out, how many different match-ups between the two teams are possible?
Choices:
35
126
252
630
Answer: A
Question: Ram can do a piece of work in 8 days which Shyam can finish in 12 days. If they work at it on alternate days with Ram beginning, in how many days, the work will be finished?
Choices:
9 1/2
9 1/4
10 1/3
11 1/3
Answer: A
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1.8 cm when a man gets on it. The mass of man is
Choices:
60 kg
108 kg
96 kg
None
Answer: B
Question: John has on his shelf four books of poetry, four novels, and three reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work?
Choices:
12/55
3/10
7/20
8/45
Answer: A
Question: What is the sum of all 5 digit numbers which can be formed with the digits 0,1,2,3,4 without repetation?
Choices:
2599980
923580
765432
765434
Answer: A
Question: The arithmetic mean of set P is zero. If Q = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of P consisting of all those elements in P which are more than two but less than three standard deviations away from the arithmetic mean of P, what could be equal to the standard deviation of P?
Choices:
0.77
0.82
0.97
1.62
Answer: A
Question: A train 360 m long passed a pole in 30 sec. How long will it take to pass a platform 780 m long?
Choices:
89 sec
87 sec
95 sec
16 sec
Answer: C
Question: The following questions are based on the information given below:
1)A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.
2)Two sides measuring 5 cm x 4 cm are coloured in red.
3)Two faces measuring 4 cm x 3 cm are coloured in blue.
4)Two faces measuring 5 cm x 3 cm are coloured in green.
5)Now the block is divided into small cubes of side 1 cm each.
How many small cubes will have will have three faces coloured ?
Choices:
8
10
12
16
Answer: A
Question: A fort of 2000 soldiers has provisions for 50 days. After 10 days some of them left and the food was now enough for the same period of 40 days as before. How many of them left?
Choices:
0
200
400
500
Answer: A
Question: If the order of the letter in the English alphabet is reversed which letter will be the seventh to right of the twelfth letter from the right?
Choices:
E
F
U
T
Answer: A
Question: The proportion of copper and zinc in the brass is 3:7. How much zinc will there be in 100 kg of brass?
Choices:
70
40
270
170
Answer: A
Question: A meal cost $ 36.50 and there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be:
Choices:
40-42
38-40
37-39
36-37
Answer: A
Question: If a square mirror has a 20-inch diagonal, what is the approximate perimeter Q of the mirror, in inches?
Choices:
60
80
100
120
Answer: A
Question: The cost price of a radio is Rs.2550 and it was sold for Rs.2130, find the loss %?
Choices:
10
15
66
41
Answer: B
Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 50% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Choices:
50%
25%
15%
10%
Answer: C
Question: n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4?
Choices:
2
1
0
None of these
Answer: A
Question: The area of a rectangular plot is 21 times its breadth. If the difference between the length and the breadth is 10 metres, what is its breadth?
Choices:
5 metres
11 metres
Data inadequate
None of these
Answer: B
Question: Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
38
39
37
75
Answer: D
Question: Find the remainder when 6^50 is divided by 215
Choices:
36
27
99
17
Answer: A
Question: complete the numerical series with the correct number
5+2+2=101018
9+3+4=273660
8+2+3=162438
5+2+5=102533
7+5+5= ?
Choices:
454586
454585
454386
353565
Answer: D
Question: Lionel left his house and walked towards Walt's house, 48 miles away. Four hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 3 miles per hour and Walt's 6 miles per hour, how many miles had Lionel walked when he met Walt?
Choices:
16
20
24
28
Answer: C
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.80 less, he could have gained 25%. What is the cost price?
Choices:
375
278
400
288
Answer: C
Question: Which of the following is not a prime number ?
Choices:
740
751
757
853
Answer: A
Question: In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 7 ounces of corn syrup, how many ounces of water does it contain?
Choices:
50
55
60
105
Answer: D
Question: a1, a5, a13 (terms of AP) are in GP and a6 + a15 =63. Find a23
Choices:
182/3
183/3
184/3
182/5
Answer: A
Question: A, B, C together started a business. A invested Rs.2000 for 5 months B invested Rs.8000 for 6 months and C Rs.14000 for 3 months. If they get a total profit of Rs.2500. Find the share of A?
Choices:
3000
2777
2999
250
Answer: D
Question: (800/64) x (1296/36)=?
Choices:
460
500
540
None of them
Answer: D
Question: If 3x – 5y = 5 and x/x+y=5/7, then what is the value of x – y?
Choices:
6
4
3
None of these
Answer: C
Question: In shop contains 500 articles each of a cost of $10. He sold them at a price of $13. If the shop keeper has a order of 200 articles, how much profit he will get?
Choices:
B)2000
C)1500
D)600
E)700
Answer: C
Question: The speed of a boat in still water in 18 km/hr and the rate of current is 6 km/hr. The distance travelled downstream in 14 minutes is:
Choices:
10.9 km
10.4 km
6.06 km
12.56 km
Answer: C
Question: If x + y + z + w = 15, then at least k of the numbers x, y, z, w must be positive, where k is :
Choices:
1
2
3
4
Answer: A
Question: A rectangular table seats 5 people on each of two sides, with every person directly facing another person across the table. If 10 people choose their seats at random, what is probability that person P directly faces person Q?
Choices:
1/9
1/8
1/7
1/6
Answer: A
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
Choices:
127.5 m
277.5 m
727.5 m
777.5 m
Answer: A
Question: In an objective test, a correct answer scores 4 marks, and a wrong answer scores 2 marks. A student scores 480 marks from 150 questions. how many answers are correct?
Choices:
90
70
60
50
Answer: A
Question: By using the numbers 1, 2, 5, 7 and 9 only once, how many five digit numbers can be made that are divisible by 25?
Choices:
12
5
10
9
Answer: A
Question: When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k + n is a multiple of 75.
Choices:
4
12
32
35
Answer: D
Question: What percent of 120 are 90?
Choices:
85%
75%
72%
23%
Answer: B
Question: If p=125×243×16/405, how many digits are in p?
Choices:
2
3
4
5
Answer: C
Question: If x<0, y>0, and |x| < |y|, which of the following must be true?
Choices:
y^2 > x^2
x^3 > y^2
–x > y
x < –y
Answer: C
Question: The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
Choices:
6 ml
3 ml
4 ml
2 ml
Answer: A
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 or equal to 60% marks is
Choices:
3
2
1
5
Answer: A
Question: 9, 16, 19, 25, 36,49
Choices:
16
19
25
36
Answer: B
Question: Prizes totaling $ 55,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?
Choices:
(b) $10,000
(c) $15,000
(d) $20,000
(e) $65,000
Answer: C
Question: Let f(x) = x4 – 8x3 + 16x2 – 19 and g(x) = x - 5. Find f(x)/g(x)
Choices:
5
6
7
8
Answer: B
Question: A circular wire of radius 42cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6:5. The smaller side of the rectangle is:
Choices:
60cm
72cm
132cm.
142cm.
Answer: A
Question: In how many different ways can 5 girls and 5 boys form a circle such that the boys and the girls alternate?
Choices:
2880
1200
3212
None of these
Answer: A
Question: Less than half of a committee that is to be formed out of certain group, are to be men. If there are 100 possible ways of forming the committee, then the number of men in the committee can be,
Choices:
2
4
5
cannot be determined
Answer: A
Question: A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction?
Choices:
9%
10%
11%
None
Answer: A
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 5%?
Choices:
29%
10%
80%
42.5%
Answer: D
Question: If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 840, what is the least possible value of n?
Choices:
5
12
13
14
Answer: A
Question: a clock hangs on the wall of a railway station,71ft 9in long and 10ft 4in high.those are the dimension of the wall,not the clock!while waiting for a train we noticed that the hands of the clock were pointing in opposite directions,and were parallel to one of the diagonals of the wall,what was the exact time ?
Choices:
7:5
7:25
7:45
7:55
Answer: A
Question: A rectangular plot measuring 90 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed?
Choices:
66m
26m
56m
25m
Answer: C
Question: The sector of a circle has radius of 21 cm and central angle 90o. Find its perimeter?
Choices:
75
93
94
95
Answer: A
Question: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.
Choices:
4304 sq m
4312 sq m
4360 sq m
None of these
Answer: B
Question: Tom bought 2 shares and sold them for $55 each. If he had a profit of 25% on the sale of one of the shares but a loss of 45% on the sale of the other share, then on the sale of both shares Tom had
Choices:
a loss of $44
a profit of $34
a loss of $34
neither a profit nor a loss
Answer: C
Question: Mary and Mike enter into a partnership by investing $600 and $400 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Mary received $1000 more than Mike did, what was the profit made by their business in that year?
Choices:
$9500
$7000
$7500
$6500
Answer: C
Question: A and B together can do a work In 8 days. A alone can do it in 12 days. What time B will take to do the work alone?
Choices:
8 days
12 days
24 days
25 days
Answer: C
Question: The average age of a man and his son is 28 years. The ratio of their ages is 3 :1 respectively. What is the man's age ?
Choices:
38 years
44 years
42 years
None of these
Answer: C
Question: In an election between two candidates, the winner has a margin of 20% of the votes polled. If 3000 people change their mind and vote for the loser, the loser would have won by a margin of 20% of the votes polled. Find the total number of votes polled in the election?
Choices:
15000
30000
60000
45000
Answer: A
Question: The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 15 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Choices:
40%
64.8%
76.5%
72%
Answer: C
Question: A shopkeeper buys mangoes at the rate of 7 a rupee and sells them at 5 a rupee. Find his net profit or loss percent?
Choices:
40 %
33 %
35 %
30 %
Answer: A
Question: If x is odd and y is odd, then xy,
Choices:
Odd
Even whenever x+y is odd
Even
It cannot be determined
Answer: A
Question: find S.P when CP=56.25,gain=20%.
Choices:
Rs 65.50
Rs 67.50
Rs 69.50
Rs 68.50
Answer: B
Question: A famous film director thought of an interesting story and he made a film in Hindi, Tamil and Telugu. He release the movie at the same time in all the three languages. The movie had Dhanush, Kamalhasan, Sruthi Hasan and Akdhsay Bachchan in lead role. The collections made was interesting to study. Collections in Hindi to Tamil and Tamil to Telugu was in the ratio 5: 4. If the collection made in language Tamil alone was Rs. 19753080, what was the total collection made.
Choices:
Rs.60246894
Rs.22602468
Rs.22602469
none of these.
Answer: A
Question: A man invests some money partly in 15% stock at 105 and partly in 8% stock at 40.To obtain equal dividends from both,he must invest the money in the ratio :
Choices:
3 : 5
7 : 5
16 : 15
None
Answer: B
Question: John is three times as old as Sam. If John will be twice as old as Sam in six years, how old was Sam three years ago?
Choices:
3
6
8
16
Answer: A
Question: A distributor sells a product through an on-line store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $15 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 30% profit on the cost of the item?
Choices:
21.6
22
25.7
27
Answer: C
Question: 169, 289, 361, 529, 841, ?, F ind the missing number(?).
Choices:
789
961
920
788
Answer: B
Question: The price of an item is discounted 2 percent on day 1 of a sale. On day 2, the item is discounted another 12 percent, and on day 3, it is discounted an additional 25 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Choices:
66%
69%
70%
72%
Answer: A
Question: How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once?
Choices:
360
1420
1680
None of these
Answer: C
Question: A train is 300 meter long is running at a speed of 35 km/hour. In what time will it pass a bridge of 115 meter length?
Choices:
23
47.119
44.586
42.686
Answer: D
Question: Two employees M and N are paid a total of $572 per week by their employer. If M is paid 120 percent of the salary paid to N, how much is N paid per week?
Choices:
$240
$260
$300
$320
Answer: B
Question: If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C?
Choices:
9:7:4
9:6:6
9:6:4
9:3:4
Answer: C
Question: Two cycles are standing side-by-side. One cycle, which is 2.5 feets tall, casts a shadow that is 5
feets long. The other cycle is 2 feets tall. Compute, in feets, the length of the shadow that
the shorter cycle casts.
Choices:
4
6
8
10
Answer: A
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
456 m
500 m
663 m
757 m
Answer: B
Question: Working together, Wayne and his son can shovel the entire driveway in three hours. If Wayne can shovel two times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own?
Choices:
3
8
9
12
Answer: A
Question: The ‘moving walkway’ is a 300-foot long conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a combined rate (including both walkway and foot speed) of 6 feet per second, reaches the group of people, and then remains stationary until the walkway ends. What is Bill’s average rate of movement S for his trip along the moving walkway?
Choices:
2.5 feet per second
3 feet per second
4 feet per second
5 feet per second
Answer: D
Question: A number when divided by a certain divisor left remainder 245, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?
Choices:
378
380
456
460
Answer: A
Question: The cost price of 20 arƟcles is the same as the selling price of x arƟcles. If the profit is 25%, find out
the value of x
Choices:
14
15
16
17
Answer: C
Question: In an election, candidate A got 75% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favour of candidate
Choices:
356500
357000
400000
None of these
Answer: B
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
167 m
245 m
167 m
178 m
Answer: B
Question: What is the area of a square field whose diagonal of length 10 m?
Choices:
50
60
20
25
Answer: A
Question: In a certain town, there are eight times as many people who were born in the town’s state as there are people who were born in another state or country. The ratio of those residents born in the town’s state to the town’s total population is
Choices:
1 to 3
1 to 2
3 to 4
8 to 9
Answer: D
Question: Find the sum of all odd numbers up to 100.
Choices:
2500
2300
2200
2100
Answer: A
Question: If xy ≠ 0 and x^2y^2 − 2xy = 8, which of the following could be y in terms of x?
I. 4/x
II. -x/2
III. 3/x
Choices:
I only
I and II
I and III
II and III
Answer: A
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 560 sq. feet, how many feet of fencing will be required?
Choices:
40
68
76
92
Answer: C
Question: If 1/(n – 2) = 1/(n + 2) + 1/(n – 1), which of the following is a possible value of n?
Choices:
0
3
-4
4
Answer: A
Question: Katie owned ten times as many cats as she did dogs. If she adopted 4 more dogs, the ratio of cats to dogs would be 1 to 1. How many dogs and cats does Katie have total after adopting the 4 more dogs.
Choices:
10
33
99
None of the Above
Answer: D
Question: If A:B = 1/4: 1/3 B:C = 1/4:1/3 then A:B:C?
Choices:
9:2:16
9:12:16
9:12:14
19:12:16
Answer: B
Question: A and B together have $ 1210. If of A's amount is equal to of B's amount, how much amount does B have?
Choices:
$489
$484
$365
%342
Answer: B
Question: There are two numbers. If 30% of the first number is added to the second number, then the second number increases to its five-fourth. What is the ratio of the first number to the second number?
Choices:
25 : 8
8 : 5
5 : 6
7 : 2
Answer: C
Question: The area of a rectangle is 24 cm2. The width is two less than the length. What is the length and width of the rectangle?
Choices:
4
5
6
7
Answer: A
Question: The area of a rectangular field is 144 m2. If the length had been 6 metres more, the area would have been 54 m2 more. The original length of the field is
Choices:
18 metres
16 metres
24 metres
None of these
Answer: B
Question: If Rs.440 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
Choices:
s.595
s.590
s.580
s.585
Answer: B
Question: The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.8000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is
Choices:
21
22
7
24
Answer: C
Question: If both 5^2 and 3^3 are factors of n x (2^5) x (6) x (7^3), what is the smallest possible positive value of n?
Choices:
125
145
175
225
Answer: D
Question: The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Choices:
10 yrs
18 yrs
20 yrs
25 yrs
Answer: B
Question: There are three foam generators in the factory, each of the first two can generate 10 liters of foam in one hour and the third can generate 16 liters in an hour. The three generators start working together at the same time and after one hour and a half one of the first generators stops working and two hours after that the third generator stops working and only one generator is left. If 5 hours after they all started to work the last generator stops working, how many liters of foam were generated?
Choices:
121
146.
154.
166.
Answer: A
Question: If the length of an edge of cube M is five times the length of an edge of cube N, what is the ratio of the volume of cube N to the volume of cube M?
Choices:
1/125
1/5
1/16
1/32
Answer: A
Question: Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Choices:
12
15
20
25
Answer: A
Question: Of 30 applicants for a job, 12 had at least 4 years' experience, 19 had degrees, and 6 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years' experience and a degree?
Choices:
13
9
7
5
Answer: C
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?
Choices:
19
15
22
10
Answer: C
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 38 with him, what was the average amount with the group before his joining the group?
Choices:
s.17
s.15
s.22
s.12
Answer: A
Question: If 1*548 is divisible by 3, which of the following digits can replace *?
Choices:
1
2
3
4
Answer: C
Question: A = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability T that the sum of the two integers will equal 9 ?
Choices:
0.20
0.25
0.30
0.33
Answer: A
Question: 3*15 + 3*16 + 3*19 + 11 = ?
Choices:
126
130
148
161
Answer: D
Question: A fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. A customer bought the pair of jeans for 10 percent more than the retailer paid for them. The price the customer paid was what percent greater than the cost of manufacturing the jeans?
Choices:
54%
75%
85%
95%
Answer: A
Question: The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?
Choices:
240
267
299
162
Answer: A
Question: In what time will a train 100 meters long cross an electric pole, if its speed is 180 km/hr
Choices:
4.5 seconds
3 seconds
2 seconds
None of these
Answer: C
Question: In Mike's opinion, his weight is greater than 65kg but leas than 72 kg. His brother does not agree with Mike and he thinks that Mike's weight is greater than 60kg but less than 70kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Mike?
Choices:
50.5 kg
55.5 kg
66.5 kg
72.5 kg
Answer: C
Question: Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 37 pages per hour. If Tom starts reading a novel at 4:00, and Jan begins reading an identical copy of the same book at 4:56, at what time will they be reading the same page?
Choices:
7:56
8:26
8:56
9:26
Answer: C
Question: There are 50 students in a class. If 10 % are absent on a particular day, find the number of students present in the class.
Choices:
36
28
45
11
Answer: C
Question: How many rectangles can be formed out of a chess board ?
Choices:
1230
1740
1296
none of these
Answer: C
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
Choices:
238
200
288
291
Answer: B
Question: How many quarters are equal to 4 dollars?
Choices:
16
12
9
7
Answer: A
Question: Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
Choices:
24
22
26
30
Answer: B
Question: Bradley owns b video game cartridges. If Bradley’s total is one-third the total owned by Andrew and seven times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
Choices:
(17/4)b
(13/4)b
(19/12)b
(29/7)b
Answer: D
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:
1kmph
7 kmph
9 kmph
11 kmph
Answer: A
Question: What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12% p.a.?
Choices:
10123.22
10123.2
10123.21
10123.54
Answer: B
Question: A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 11.30 a.m. ?
Choices:
5
9
17
12
Answer: C
Question: A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 4 miles per hour and returns along the same road at an average speed of 8 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour?
Choices:
(b) 5
(c) 26/5
(d) 27/5
(e) 16/3
Answer: D
Question: A jar contains 10 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:
1/40
1/81
1/30
1/20
Answer: A
Question: A,B,C together can earn $600 per day. while A and C together earn $400 and B and C together can earn $300. The daily earnings of C?
Choices:
$100
$250
$300
$500
Answer: A
Question: A profit of Rs. 800 is divided between X and Y in the ratio of 1/2:1/3 . What is the difference between their profit shares ?
Choices:
s. 160
s. 360
s. 50
s. 90
Answer: A
Question: If each side of a square is increased by 25%, find the percentage change in its area.
Choices:
56.25%
56%
50.25%
36.25%
Answer: A
Question: What day of the week was 7th January 1601
Choices:
Sunday
Monday
Thursday
Saturday
Answer: A
Question: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State ?
Choices:
8000
2379
2988
2791
Answer: A
Question: A bag contains 20 red jellybeans and 20 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability that all 3 jellybeans removed from the bag are blue?
Choices:
2/19
1/8
3/20
3/10
Answer: C
Question: If a, b, and c are distinct positive prime numbers, then (a^3)(b)(c) has how many different positive factors greater than 1?
Choices:
a. 3
c. 12
d. 15
e. 27
Answer: A
Question: A trader sold an item at a loss of 18%. if he had increased the price by $25 he would have made a gain of 5%. what is the cost price of the item?
Choices:
$424.78
$534.78
$434.78
$435.78
Answer: C
Question: There are 12 pieces of radioactive metal W that look identical. 11 of the pieces give the same radiation count when measured, the 12th piece is a counterfeit and gives a different radiation level, which may be more or less than the other 11. We are given a radiation scale, which can take 2 sets of samples and compare their added up radiation levels to tell us if the sums are the same or if different, which set has the higher level of radiation. What is the minimum number of comparisons we need on this scale to identify the counterfeit sample and to also determine whether it has more or less radiation than the other samples ?
Choices:
3
4
5
6
Answer: A
Question: Of 70 players on a football team, 28 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
Choices:
56
63
71
92
Answer: A
Question: Company X sells a selection of products at various price points. Listed below are unit sales made for one particular day. How many unit sales on that day were greater than the mean sale price but less than the median sale price?
$50, $50, $97, $97, $97, $120, $125, $155, $155, $199, $199
Choices:
1
2
3
4
Answer: A
Question: A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
60 Kmph
70 Kmph
80 Kmph
90 Kmph
Answer: A
Question: In an examination, 30% of total students failed in Hindi, 35% failed in English and 35% in both. The percentage of these who passed in both the subjects is :
Choices:
20%
30%
70%
50%
Answer: C
Question: Find the invalid no.from the following series 15 46 63 71 75 77 78
Choices:
46
63
71
75
Answer: A
Question: At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether ?
Choices:
45
55
90
85
Answer: A
Question: The probability of having a girl is identical to the probability of having a boy. In a family with five children, what is the probability that all the children are of the same gender?
Choices:
1/16
1/8
1/12
1/25
Answer: A
Question: In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
Choices:
10
15
20
25
Answer: A
Question: How many digits are in (8×10^10)(10×10^5)?
Choices:
17
26
27
28
Answer: A
Question: Set A is {1, 3, 5, 7, 9}
Set B is {16, 18, 20, 22, 24}
For the sets of numbers above, which of the following is true?
I. The mean of Set B is greater than the mean of Set A.
II. The median of Set B is greater than the median of Set A.
III. The standard deviation of Set B is greater than the standard deviation of Set A.
Choices:
I and II only
I and III only
II and III only
I, II, and III
Answer: A
Question: A vendor bought Headphones at 5 for Rs 100.How many for Rs 100 must he sell to gain 50%?
Choices:
3
5
6
None
Answer: C
Question: (500 + 200+100) Ã— 4 Ã— (3 + 4) = ?
Choices:
32400
22400
22800
24200
Answer: B
Question: P is four times as old as Q, and Q is six years older than R. If R is z years old, what is P’s age in terms of z?
Choices:
4z − 24
4z + 24
(z + 6)/4
(z − 6)/4
Answer: B
Question: By the how much is two-fifth of 400 greater than three -fifths of 150?
Choices:
70
5
30
None of these
Answer: A
Question: Two cars start from the opposite places of a main road, 150 km apart. First car runs for 30 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?
Choices:
38
60
28
21
Answer: B
Question: The ratio, by volume, of soap to alcohol to water in a certain solution is 2:50:100. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
Choices:
200
400
625
800
Answer: D