antoine-444/aqua_rat_dataset huggingface dataset:
Question: Last year, Company X made q dollars in profit. two Thrid of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?
Choices:
q/9
q/6
q/7
q/8
Answer: A
Question: Johnny makes $3.25 per hour at his work. If he works 8 hours, how much money will he earn?
Choices:
$54
$26
$12
$9.60
Answer: B
Question: The circumferences of the fore and hind-wheels of a carriage are 2 2/5 and 3 3/7 meters respectively. A chalk mark is put on the point of contact of each wheel with the ground at any given moment. How far will the carriage have travelled so that their chalk marks may be again on the ground at the same time?
Choices:
16 metres
38 metres
42 metres
24 metres
Answer: D
Question: Two cyclist start on a circular track from a given point but in opposite direction with speeds of 7m/s and 8m/s. If the circumference of the circle is 675meters, after what time will they meet at the starting point?
Choices:
15sec
45sec
50sec
1min
Answer: B
Question: Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 2 km apart, if they walk in the same direction?
Choices:
6hours
1hours
10hours
12hours
Answer: B
Question: A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?
Choices:
12 1/2 years
12 7/2 years
12 1/4 years
22 1/2 years
Answer: A
Question: There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 16 days more?
Choices:
140
199
188
190
Answer: D
Question: A certain bag contains 100 balls â€” 20 white, 30 green, 10 yellow, 37 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Choices:
0.75
0.6
0.8
0.5
Answer: B
Question: A 2 digit known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is
Choices:
22
24
25
28
Answer: B
Question: A retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 50 percent greater than the wholesale price. If the retailer decreases the retail price by 30 percent this will have the same effect as increasing the wholesale price by what percent?
Choices:
20
10
5
8
Answer: C
Question: The area of the largest circle that can be drawn inside a square of side 70 Cm in length is:
Choices:
2646
3850
4215
5205
Answer: B
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
6.1
4.5
1.5
2.5
Answer: C
Question: If 5a + 7b = n, where a and b are positive integers, what is the largest possible value of n for which exactly one pair of integers (a, b) makes the equation true?
Choices:
48
69
70
74
Answer: C
Question: If a survey shows that 36 citizens out of a sample of 300 support a particular Senate bill, what percent of the sample does not support the bill?
Choices:
64%
88%
82%
86%
Answer: B
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit
Choices:
70%
90%
None of above
60%
Answer: A
Question: A solution of 100 litres contains milk and water in the ratio 5:x. If ten litres of water is added to the solution, the ratio becomes 3:2, find the value of x?
Choices:
2.55
2.34
2.57
2.89
Answer: C
Question: The tax on a commodity is diminished by 18% and its consumption increased by 15%. The effect on revenue is?
Choices:
8.7%
5.7%
6.7%
1%
Answer: B
Question: In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :
Choices:
38
40
42
54
Answer: A
Question: Jake, Lena, Fred, and Inna need to drive home from a corporate reception in an SUV that can seat 7 people. If only Inna or Jake can drive, how many seat allocations are possible?
Choices:
42
120
240
960
Answer: C
Question: Pump A can fill a tank of water in 5 hours. Pump B can fill the same tank in 8 hours. How long does it take the two pumps working together to fill the tank?(round your answer to the nearest minute).
Choices:
3 hours 5 minutes
4 hours 6minutes
5 hours 7 minutes
7 hours 9 minutes
Answer: A
Question: John and Jacob set out together on bicycle traveling at 15 and 12 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John two hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride at 15 miles per hour? (consider John's deceleration/acceleration before/after the flat to be negligible)
Choices:
7 1/3
7 1/2
4
7 1/2
Answer: A
Question: The average of first five prime numbers which are odd is?
Choices:
15.7
15.2
7.8
15.1
Answer: C
Question: Cole drove from home to work at an average speed of 60 kmh. He then returned home at an average speed of 90 kmh. If the round trip took a total of 2 hours, how many minutes did it take Cole to drive to work?
Choices:
70
72
75
78
Answer: B
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 $750 (before payroll deductions)?
Choices:
1625
1650
1655
1675
Answer: A
Question: The product of all the prime numbers less than 20 is closest to which of the following powers of 10?
Choices:
10^8
10^7
10^6
10^5
Answer: B
Question: Dick and Jane each saved $1,000 in 1989. In 1990 Dick saved 15 percent more than in 1989, and together he and Jane saved a total of $2,000. Approximately what percent less did Jane save in 1990 than in 1989?
Choices:
5%
10%
15%
18%
Answer: C
Question: The average of 11numbers is 500. Out of 11numbers the average of first 6no. is 50, and last 6numbers is 60 then find 6th number?
Choices:
80
110
120
72
Answer: B
Question: If w is 40 percent less than q, q is 40 percent less than y, and z is 46 percent less than y, then z is greater than w by what percent of w?
Choices:
18%
36%
40%
50%
Answer: D
Question: The greatest common factor of positive integers m and n is 9. What is the greatest common factor of (2m^2, 2n^2)?
Choices:
81
162
324
405
Answer: B
Question: Two pipes A and B can fill a tank in 5 hrs and 20 hrs respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Choices:
4 hr
6 hr
3 hr
7 hr
Answer: A
Question: If
1 = 6
2 = 12
3 = 18
4 = 24
5 = 30
Then 6 = ?
Hint: Its a logic Riddle not a mathematical riddle
Choices:
1
3
4
5
Answer: A
Question: Which of the following is a prime number ??
Choices:
81
32
93
11
Answer: D
Question: A city council will select 2 of 8 available firefighters and 1 of 6 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?
Choices:
72
168
216
432
Answer: B
Question: The angle between the minute hand and the hour hand of a clock when the time is 8:30
Choices:
75
29
27
299
Answer: A
Question: If x^2 − 2x − 15 = (x + r)( x + s) for all values of x, and if r and s are constants, then which of the following is a possible value of r − s?
Choices:
8
− 2
− 3
− 5
Answer: A
Question: the sum of the ages of 5 children born at the intervals of 3 year each is 50 year. what is the age of the youngest child ?
Choices:
4 year
10 year
None of these
9 year
Answer: A
Question: Working together, John and Jack can type 30 pages in one hour. If they would be able to type 35 pages in one hour if Jack increases his typing speed by 25%, what is the ratio of Jack's normal typing speed to that of John?
Choices:
2/1
5/2
4/3
1/3
Answer: A
Question: A man divides his property so that his son’s share to his wife’s and the wife’s share to his daughter are both in the ratio 3 : 1. If the daughter gets 10,000 less than the son, find the total worth of the property.
Choices:
16,250
16,500
15,300
None of these
Answer: A
Question: A merchant has 100 lbs of sugar, part of which he sells at 7% profit and the rest at 17% profit. He gains 10 % on the whole. Find how much is sold at 7% profit?
Choices:
70 lbs
30 lbs
50 lbs
60 lbs
Answer: A
Question: A can do a work in 12days. When he had worked for 3days, B joinedhim. If they complete the work in 3more days, in how manydays can Balone finish the work?
Choices:
4
6
7
8
Answer: B
Question: The sum of first five prime numbers is?
Choices:
18
26
28
None of these
Answer: C
Question: Naomi drives to the beauty parlor in 60 minutes. On the way back, her average speed is half the average speed as it was to the way to the parlor. How much time will it take Naomi to travel two round trips to the beauty parlor?
Choices:
4 hours.
4 hours and 20 minutes.
5 hours and 50 minutes
6 hours.
Answer: D
Question: If the price of 20 toys is 540, then what will the price of 15 toys ?
Choices:
405
117
287
112
Answer: A
Question: A clock loses two minutes every three hours for 4 days and gains 1% in the subsequent 6 days. If it was set right on Friday at 11 AM, what will be the time at the end of 10 days?
Choices:
11:56:24 AM
12:16:40 PM
11:22:24 AM
12:06:36 PM
Answer: C
Question: A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Choices:
140
240
320
100
Answer: B
Question: If the bus had traveled 60 kmh faster than it actually did, the trip of 120 km would have lasted 1 hour less. Find the speed of the bus.
Choices:
30 kmh
80 kmh
60 kmh
75 kmh
Answer: C
Question: The sum of two numbers is 95. Their difference is 5. The bigger number is
Choices:
50
30
35
45
Answer: A
Question: A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is
Choices:
2/13
1/26
1/52
None
Answer: B
Question: Three people each took 5 tests. If the ranges of their scores in the 5 practice tests were 17, 28 and 34, what is the minimum possible range in scores of the three test-takers?
Choices:
b) 34
c) 35
d) 45
e) 80
Answer: A
Question: You buy a piece of land with an area of âˆš400, how long is one side of the land plot?
Choices:
29
30
20
32
Answer: C
Question: #p is defined as 2p-20 for any number p. What is p, if #(#(#p))=12?
Choices:
19
10
16
18
Answer: A
Question: If 2^z is a factor of 25!, which of the following could be the value of z?
I. 22
II. 23
III. 24
Choices:
I ​ only
I​ and II
I, II, and III
None
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:
2176 sq m
4312 sq m
1269 sq m
2679 sq m
Answer: B
Question: If 4 men can colour 48 m long cloth in 2 days, then 2 men can colour 36 m long cloth in
Choices:
2 days
3 days
4 days
5 days
Answer: B
Question: A sum of Rs.4700 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choices:
Rs.3055
Rs.3320
Rs.2760
None of these
Answer: A
Question: A dress on sale in a shop is marked at $X. During the discount sale its price is reduced by 15%. Staff are allowed afurther 10% reduction on thedis counted price. If a staff member buys thedress what will she have to pay in terms of X?
Choices:
0.560X
0.765X
0.608X
0.895X
Answer: B
Question: Cost of 2 bats and 3 balls is Rs.1300. The cost of 3 bats and 2 balls is Rs.1200. The cost of each balls is more than that of each bat by?
Choices:
100
110
120
130
Answer: A
Question: If 11 and 13 are prime numbers, which of the following CANNOT be the sum of a and b?
Choices:
48
72
47
96
Answer: C
Question: A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
Choices:
3 : 5 : 5
6 : 10 : 5
8 : 12 : 4
Data inadequate
Answer: B
Question: A shop keeper had some books. He sells 40% books and still has 420 books. Originally, he had
Choices:
600 books
620 books
700 books
None of these
Answer: C
Question: There were totally 100 men.81 are married.75 have T.V, 85 have radio,70 have A.C. How many men have T.V, radio, A.C and also married?
Choices:
11
13
14
15
Answer: A
Question: When 200 is divided by positive integer x, the remainder is 5. What is the remainder when 395 is divided by x?
Choices:
3
4
6
5
Answer: D
Question: A = {2, 3, 5, 7, 11}
B = {2, 4, 6, 17}
Two integers will be randomly selected from sets A and B, one integer from set A and one from set B, and then multiplied together. How many different products can be obtained?
Choices:
16
19
20
36
Answer: C
Question: A 270m long train running at the speed of 120kmph crosses another train running in opposite direction at the speed of 80kmph in 9 second. What is the length of the other train?
Choices:
230m
290m
310m
420m
Answer: A
Question: A sum of 15,600 amounts to 21,200 in 5 years at the rate of simple interest. What is the rate of interest?
Choices:
1%
7%
5%
8%
Answer: B
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is
Choices:
1/7
1/5
1/6
1/3
Answer: B
Question: (540 + ?) × 3/5 - 120 = 483
Choices:
A)465
C)540
D)20
E)120
Answer: A
Question: Lilly has 10 fish and Rosy has 14 fish. In total, how many fish do they have in all?
Choices:
22
23
24
25
Answer: C
Question: What quantity of water should be added to reduce 20 liters of 80% acidic liquid to 20% acidic liquid?
Choices:
50liters
60liters
70liters
80liters
Answer: B
Question: Ashis's height is 25% more than Babji, by how much percent Babji's height is less than Ashis.
Choices:
25%
75%
20%
None of these
Answer: C
Question: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 210 m long?
Choices:
22 Seconds
21 Seconds
24 Seconds
29 Seconds
Answer: B
Question: Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 35 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B?
Choices:
56 lakh
40 lakh
60 lakh
None of these
Answer: A
Question: Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
Rs.250
Rs.320
Rs.340
Rs.400
Answer: A
Question: If N is the least positive integer that is divisible by every integer from 3 to 10 inclusive, then N/7 is =
Choices:
360
2520
3960
6720
Answer: A
Question: If A got 70 marks and B got 60 marks, then what percent of A's mark is B's mark?
Choices:
B)85.7%
C)65%
D)75%
of these
Answer: A
Question: A male leader is to be selected from a class of students having 15 boys and 20 girls. In how many ways can select?
Choices:
7/3 ways
3/7 ways
35 ways
15 ways
Answer: D
Question: How many seconds will a 500 meter long train moving with a speed of 63 km/hr, take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
Choices:
50
30
28
26
Answer: B
Question: Kid have 8 black balls and 8 white balls. He is trying to arrange a ball in a row then in how many ways can he arrange these balls in a row so that balls of different colors alternate?
Choices:
1×(9!)^3
2×(8!)^2
2×(8!)
2×6^2
Answer: B
Question: If √x = x, then which of the following must be true?
Choices:
x=1
x^2>x
x is non-negative
None of the above
Answer: C
Question: Andrew started saving at the beginning of the year and had saved $240 by the end of the year. He continued to save and by the end of 2 years had saved a total of $600. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year?
Choices:
25%
44%
50%
125%
Answer: C
Question: The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A
Choices:
12
13
14
15
Answer: A
Question: In an effort to plan out expenses, the Roberts family is representing its annual budget as a circle graph. Each sector of the graph is proportional to the amount of the budget it represents. If “clothes and shoes” takes up 54° of the chart, how much of the Roberts’s $20,000 annual budget is dedicated to clothes and shoes?
Choices:
$3,000
$4,500
$5,000
$5,400
Answer: A
Question: In an automobile market of spare parts dealers and workshops, average earning of a spare parts dealer per day is $520 and the average earning of a workshop is $700. Considering there are 40 shops in market and number of spare parts dealer shops exceeds the workshops by 4. What is the average earning of this market consisting of only spare parts dealers and workshops.
Choices:
562
594
601
648
Answer: C
Question: If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same sum at the rate and for the same time?
Choices:
51.25
51.22
51.38
51.12
Answer: A
Question: Each cell of a certain kind of bacteria produces two more cells. The life span of each cell is 10 minutes and each cell multiples only once in its life time, when it is exactly one minute old. If a new cell is placed in an empty box at time t = 0, then how many live cells will be there in the box just after t = 20 minutes?
Choices:
1024 × 1023 cells
(1024)²
1023 × 1025
1023 × 1026
Answer: A
Question: A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 2/3 of the current inventory is Speedsters, of which 4/5 are convertibles. If there are 60 vehicles that are not Speedsters, how many Speedster convertibles are there?
Choices:
96
100
76
72
Answer: A
Question: The difference between the place values of two sevens in the numeral 69758472 is
Choices:
100
6993
699930
None of these
Answer: C
Question: Average expenditure of a person for the first 3 days of a week is Rs. 310 and for the next 4 days is Rs. 420. Average expenditure of the man for the whole week is:
Choices:
350
390
430
None
Answer: A
Question: Tom planted vegetables in a rectangular garden that was 25 feet long and 15 feet wide. He used
1/3 of the area for corn and 1/5 of it for peas. How many square feet are left for other vegetables?
Choices:
175 sq. ft.
177 sq. ft.
178 sq. ft.
179 sq. ft.
Answer: A
Question: If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what is the probability that it will land heads up on the first flip but not on the last 4 flips?
Choices:
1/8
1/16
1/32
1/64
Answer: C
Question: Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business ?
Choices:
12 : 15 :29
12 : 15 :11
12 : 15 :16
12 : 15 :13
Answer: C
Question: Bank account A contains exactly x dollars, an amount that will decrease by 10% each month for the next two months. Bank account B contains exactly y dollars, an amount that will increase by 20% each month for the next two months. If A and B contain the same amount at the end of two months, what is the ratio of x√x to y√y?
Choices:
4 : 3
16 : 9
2 : 1
9 : 4
Answer: A
Question: |x+3| – |4-x| = |5+x| How many solutions will this equation have?
Choices:
1
2
3
4
Answer: D
Question: At a certain school 25% of the students join a band, 25% play a sport and 20% both join the band and play a sport. if a randomly selected student is a member of the band, what is the probablility that the student also plays a sport?
Choices:
2)1/5
3)2/5
4)1/2
5)4/5
Answer: D
Question: What is the units digit of 18! + 1 ?
Choices:
1
5
7
9
Answer: A
Question: A 14 meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?
Choices:
3/14
8/21
6/7
2/5
Answer: C
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.50 km and 1.25 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
77
66
99
11
Answer: B
Question: What is the speed required for a bike to cover a distance of 720 km in 12 hours?
Choices:
40 kmh
100 kmh
60 kmh
80 kmh
Answer: C
Question: If a positive integer n is divisible by both 2 and 5, then n must also be divisible by which of the following?
I. 10
II. 7
III. 40
Choices:
I only
II only
I and II
II and III
Answer: A
Question: The list price of an article is Rs.70. A customer pays Rs.61.11 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
7%
10%
3%
4%
Answer: C
Question: In a party attended by 9 persons, each clinch their glass with every other. How many glass clinches?
Choices:
52
34
35
36
Answer: D
Question: Which of the following triples of numbers have the same standard deviation as the numbers p, q, and r?
I. p-2, q-2, r-2
II. 0, p-q, r-q
III. p-4, q+5, r-1
Choices:
II only
I and III only
II and I only
I, II, and III
Answer: C
Question: 5.40 can be expressed in terms of percentage as
Choices:
50.4%
209%
540%
None of these
Answer: C
Question: If XY denotes X is raised to the power Y, Find the last two digits of 19413843+ 19614181
Choices:
97
55
32
62
Answer: D
Question: What is the rate percent when the simple interest on Rs.780 amount to Rs.130 in 4 Years?
Choices:
4.16
6.16
7.16
8.16
Answer: A
Question: Find the fourth proportion to 2,3,6
Choices:
12
9
3
4
Answer: B
Question: Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.2,10,000 earned at the end of 3 years from the start of the business in 1999?
Choices:
Rs.50,000
Rs.70,000
Rs.75,000
none
Answer: B
Question: If 15 machine can finish a job in 36 days, then how many more machines would be needed to finish the job in one -fourth less time?
Choices:
a. 5
c. 10
d. 12
e. 16
Answer: A
Question: If k is a multiple of 3 and k=(m2)nk=(m2)n, where m and n are prime numbers, which of the following must be a multiple of 9?
Choices:
n^2
mn
mn^2
(mn)^2
Answer: D
Question: A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 200 kilometers?
Choices:
5
6.5
7.5
8.5
Answer: A
Question: A series of number is given: 5, 6, 12, 5, 7, 13, 5,__14, 5, 9, 15.. What number fills the blank?
Choices:
5
9
8
11
Answer: C
Question: A, B and C start a business each investing 2,000. After 6 months A withdrew 1000, B withdrew 1000 and C invests 1000 more. At the end of the year, a total profit of 6600 was recorded. Find the share of B.
Choices:
21,200
1,800
20,500
None of these
Answer: B
Question: A worker is paid x rupees for painting every 5 metres of a wall and y rupees for painting every extra metre. During one week, he painted 5 metres on Monday, 6 metres on Tuesday, 7 metres on Wednesday, 8 metres on Thursday and 9 metres on Friday. What is his average daily earning rupees for the five day week?
Choices:
x + 2y
10x + (8/5)y
None of these
Cannot be determined
Answer: A
Question: If x is a positive, single-digit integer such that 2/3*x, 2x, x, and x + 2, and 3x – 2 form a non-ordered list of consecutive integers, which of the following could be the median of that list?
Choices:
4
5
6
8
Answer: B
Question: The average age of father and his two sons is 38 Years. Five years ago, the average age of the two sons was 16 Years. If the difference between the ages of the two sons is four years, what is the present age of the father?
Choices:
46
72
48
49
Answer: B
Question: Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?
Choices:
18
66
55
41
Answer: A
Question: Three persons A, B and C divide a certain amount of money such that A's share is Rs.4 less than half of the total amount. B's share is Rs.8 more than half of what is left and finally C takes the which is Rs.14. Find the total amount they initially had with them?
Choices:
Rs.85
Rs.80
Rs.56
Rs.29
Answer: B
Question: 40 is subtracted from 60% of a number, the result is 50. Find the number?
Choices:
150
278
277
268
Answer: A
Question: In what ratio must rice of Rs.32per kg be mixed with rice of Rs.42 per kg so that cost of mixture is Rs.20 per kg?
Choices:
13:5
11:6
11:5
12:5
Answer: B
Question: The average weight of a class is x pounds. When a new student weighing 60 pounds joins the class, the average decreases by 1 pound. In a few months the student’s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds. None of the other students’ weights changed. What is the value of x?
Choices:
86
88
90
92
Answer: B
Question: A man's age is 125% of what it was 10 years ago, but 83 1/3%
of what it will be after 10 years. What is his present age?
Choices:
60
50
40
35
Answer: B
Question: If the speed of X inch per second is equivalent to the speed of Y meter per hour, what is Y in terms of X? (1 meter=39.3701 inch)
Choices:
33.35X
67.77X
91.44X
111.3X
Answer: C
Question: A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 3500. The difference between the profit shares of A and C is?
Choices:
1400
236
600
211
Answer: A
Question: If x = a!, which of these following values of a is the least possible value (in this list) for which the last 9 digits of the integer x will all be zero?
Choices:
32
37
44
49
Answer: C
Question: 36 men can complete a piece of work in 18 days. In how many days will 54 men complete the same work ?
Choices:
77
88
29
12
Answer: D
Question: The function f(Z) represents the number of ways that prime numbers can be uniquely summed to form a certain number Z such that Z = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)?
Choices:
5
6
9
7
Answer: D
Question: Machine A can finish a job in 4 hours, Machine В can finish the job in 12 hours, and Machine С can finish the job in 6 hours. How many hours will it take for A, B, and С together to finish the job?
Choices:
2
3
4
5
Answer: A
Question: A certain protective additive increases from 20 days to 25 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive?
Choices:
25%
50%
66 2/3%
75%
Answer: A
Question: Rahul went to a shop and bought things worth Rs. 30, 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 24.70
Rs 36.80
None of these
Answer: B
Question: A 360 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Choices:
108
278
216
112
Answer: C
Question: 7 points are marked on a straight line and another 5 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
Choices:
105
175
21
14
Answer: B
Question: It takes 30 days to fill a laboratory dish with bacteria. If the size of the bacteria doubles each day, how long did it take for the bacteria to fill 1/32 of the dish?
Choices:
25
27
28
29
Answer: A
Question: Mr. Evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. If Mr. Evans has 3 children and 5 grandchildren, then approximately what percentage of Mr. Evans estate will each grandchild receive?
Choices:
17%
5.0%
3.3%
2.8%
Answer: B
Question: X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?
Choices:
7
8
9
5
Answer: D
Question: Farmer Charlie has a chicken farm. On a certain day, Charlie calculates in how many days he will run out of chicken-food. He notices that if he would sell 75 of his chickens, he could feed the remaining chickens twenty days longer with the chicken-food he has, and that if he would buy 100 extra chickens, he would run out of chicken-food fifteen days earlier.
How many chickens does farmer Charlie have?
Choices:
500
300
400
600
Answer: B
Question: If the perimeter of a rectangular garden is 800 m, its length when its breadth is 100 m is?
Choices:
300 m
200 m
167 m
128 m
Answer: A
Question: At an election 2 candidates are participated a candidate got 30% of votes and defeated by 5000 votes. 100 votes are invalid. Find the total polled votes?
Choices:
12600
15000
13560
12560
Answer: A
Question: The sum of how many terms of the series 6 + 12 + 18 + 24 + ... is 1800 ?
Choices:
23
13
26
24
Answer: D
Question: In the number 11,0AB, A and B represent the tens and units digits, respectively. If 11,0AB is divisible by 55, what is the greatest possible value of B × A?
Choices:
5
10
15
25
Answer: D
Question: If the average (arithmetic mean) of 5 positive temperatures is y degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be:
Choices:
4y
5y/3
3y/2
3y/5
Answer: A
Question: A trade analyst announced 10% reduction in the unit price of bike. As a result, the sales volume went up by 5%. What was the net effect on the sales revenue?
Choices:
decreases by 5.5%
increases by 5.5%
increases by 5%
None of these
Answer: A
Question: E is the sister of F and G. H is F's daughter. I is F's son. Which of the following statements is definitely false?
Choices:
G is E's uncle
F is G's brother
G is I's uncle
I is G's nephew
Answer: A
Question: Three partner’s A,B,C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs.16500 at the end of the year, B’s share is:
Choices:
Rs.6000
Rs 7500
Rs 7500
Rs.6600
Answer: A
Question: If 3<x<6<y<7, then what is the greatest possible positive integer difference of x and y?
Choices:
3
5
6
7
Answer: A
Question: N, which is a set of natural numbers is partitioned into subsets S1 = {1}, S2 = {2,3}, S3 = {4,5,6}, S4 = {7,8,9,10} and so on. The sum of the elements of the subset S50 is
Choices:
(b) 65525
(c) 42455
(d) 62525
(e) 55425
Answer: C
Question: 19! is equal to which of the following?
Choices:
121,645,100,408,832,225
121,645,100,408,832,424
121,645,100,408,832,378
121,645,100,408,832,000
Answer: D
Question: A train overtakes 2 girls who are walking inthe opposite direction in which the train is going at the rate of 3 km/hour & 6km/hour and passes them completely in 36sec & 30 sec respectively. Find the length of the train is?
Choices:
100 m
150 m
180 m
190 m
Answer: B
Question: Ram and Shakil run a race of 2000m. First Ram gives Shakil a start of 200m and beats him by 1 minute.Next Ram gives shakil a start of 6 min and is beaten by 1000 meters . Find the time in minutes in which Ram and Shakil can run the race seperately.
Choices:
10,18
10,12
8,10
8,9
Answer: C
Question: A company plans to award prizes to its top 3 salespeople, with the largest prize going to the top salesperson, the next-largest prize to the next salesperson, and a smaller prize to the third-ranking salesperson. If the company has 6 salespeople on staff, how many different arrangements of winners are possible?
Choices:
120
1,320
220
6
Answer: A
Question: If you roll one fair six-sided die, what is the probability that the number is even or greater than 3?
Choices:
1/3
2/3
3/4
5/6
Answer: B
Question: There are 30 doors marked with numbers 1 to 30. There are 30 individuals marked 1 to 30.
An operation on a door is defined as changing the status of the door from open to closed or vice versa. All the doors are closed to start with. One at a time, one randomly chosen individual goes and operates the doors. The individual however operates only those doors which are a multiple of the number he/she is carrying. For example, the individual marked with number 5 operates the doors marked with 5, 10, 15, 20, 25, and 30. If every individual in the group gets one turn, then how many doors are open at the end?
Choices:
1
2
4
5
Answer: D
Question: If x/4 years ago Roger was 14 years old and x/4 years from now he will be 4x years old, how old will he be 4x years from now?
Choices:
31
30
40
28
Answer: A
Question: In a forest 110 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
Choices:
750
1,250
1,500
2,500
Answer: C
Question: Each of the 47 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 14 students sign up for the poetry club, 22 students for the history club, and 20 students for the writing club. If 3 students sign up for exactly two clubs, how many students sign up for all three clubs?
Choices:
2
3
4
5
Answer: B
Question: The product of x and y is a constant. If the value of x is increased by 30%, by what percentage must the value of y be decreased?
Choices:
23.07%
25%
30%
35%
Answer: A
Question: Mike's age is 60 years. If he is 3 more than three times the age of his son, find the age of his son.
Choices:
22 years
20 years
18 years
19 years
Answer: D
Question: In how many ways can you seat 9 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
Choices:
1720
2880
5040
241920
Answer: D
Question: On multiplying a number by 3, the product is a number each of whose digits is 7. What is the smallest such number?
Choices:
259219
259279
259259
None of the above
Answer: C
Question: A teacher will pick a group of 9 students from a group of 14 students that includes Bart and Lisa. If one of all the possible 9-student groups is picked at random, what is the probability of picking a group that includes both Bart and Lisa?
Choices:
36/91
21/47
121/390
3/71
Answer: A
Question: The radius of a semi circle is 6.3 cm then its perimeter is?
Choices:
32.4
32.1
32.2
32.7
Answer: A
Question: Find the odd man out
10,20,40,80,90,160
Choices:
90
20
80
160
Answer: A
Question: Rs. 6000 is lent out in two parts. One part is lent at 5% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Choices:
1:1
5:2
5:8
5:2
Answer: A
Question: If m and n are positive integers of K such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ?
Choices:
2n/m + 1
2n/(m+1)
2m/n
2n/m
Answer: D
Question: On the shelf, there are four books of poetry, four novels, and three reference works. Suppose we picked two books at random. What is the probability that we pick one novel and one reference work?
Choices:
8/25
9/35
11/45
12/55
Answer: D
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 45 kg. What might be the weight of the new person?
Choices:
65 kg
85 kg
Data inadequate
None of these
Answer: A
Question: Ms. Popez deposits $ 130 in an account that pays 20% interest, compounded semiannually. How much money will there be in the account at the end of one year?
Choices:
$120.00
$157.30
$122.00
$140.00
Answer: B
Question: Salaries of A, B and C were in the ratio of 3 : 5 : 7 respectively. If their salaries were increased by 50%, 60% and 50% respectively, what will be the new ratio of their respective salaries?
Choices:
4 : 5 : 7
4 : 5 : 8
Data inadequate
None of these
Answer: D
Question: Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 192 as interest at the end of the loan period, what was the rate of interest?
Choices:
4
18
Cannot be determined
None of these
Answer: A
Question: If v=(10^10)-47, what is the sum of all the digit of v?
Choices:
45
50
55
80
Answer: D
Question: The difference of the squares of two consecutive even integers is divisible by which of the following numbers?
Choices:
4
7
6
9
Answer: A
Question: Two trains 170 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
10.7
10.3
11.88
12.2
Answer: C
Question: How many different combinations of outcomes can you make by rolling three standard (6-sided) dice if the order of the dice does not matter?
Choices:
30
56
120
216
Answer: B
Question: The sale price sarees listed for Rs.600 after successive discount is 10% and 5% is?
Choices:
513
342
787
191
Answer: A
Question: The cost of 8 sharpeners and 12 pens is Rs.76/-. What is the cost of 20 sharpeners and 30 pens?
Choices:
Rs.186
Rs.190
Rs.195
Rs.250
Answer: B
Question: By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?
Choices:
Rs. 120
Rs. 140
Rs. 160
None of these
Answer: D
Question: If r is the square of a positive integer, which of the following must be equal to the square of the next positive integer?
Choices:
n + 1
n^2 + 1
r + 2√r + 1
n^2 + 2n + 1
Answer: C
Question: Robert spent $104 in buying raw materials, $175 in buying machinery and 10% of the total amount he had as cash with him. What was the total amount?
Choices:
B)$210
C)$250
D)$310
E)$200
Answer: C
Question: In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?
Choices:
42
43
45
50
Answer: A
Question: A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. Find the average
speed for first 320 km of tour.
Choices:
71.11 km/hr
72.11 km/hr
73.11 km/hr
None of these
Answer: A
Question: A no.when divided by 125 gives a remainder 40, what remainder will be obtainedby dividingthe same no.15?
Choices:
11
12
13
14
Answer: A
Question: A man bought 10 crates of pine apples for $160 total. If he lost 2 of the crates, at what price would he have to sell each of the remaining crates in order to earn a total profit of 30 percent of the total cost?
Choices:
$46
$26
$16
$6
Answer: B
Question: The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 14%?
Choices:
34.375%
50.5%
52%
56%
Answer: A
Question: How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months?
Choices:
3587.52
3587.5
3587.51
3587.57
Answer: B
Question: In the last set of tests, a student scored marks in each of 5 subjects in the ratio 4:5:6:7:8 and got an overall average score of 60%. If a mark of 50% in a subject is a pass and the maximum marks of each subject is the same, how many subjects did the student pass?
Choices:
2
3
4
5
Answer: C
Question: Albert invested Rs. 1000 in a scheme for 3 years at compound interest rate 10% p.a. How much amount will Albert get on maturity of the fixed deposit?
Choices:
s.1005
s.1031
s 1331
s.1120
Answer: C
Question: A club has has $329,864 in its savings account. What is the least amount of money (in whole number of dollars) that must be added to the account the money needs to be spent evenly among nine different scouts for scouting?
Choices:
$2
$3
$4
$6
Answer: C
Question: Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 456?
Choices:
26.57%
20%
19%
None of these
Answer: A
Question: Find the average of all prime numbers between 30 and 50?
Choices:
12.8
75.3
45.1
39.8
Answer: D
Question: In a kickball competition of 6 teams, how many possible matches can each team play with each other?
Choices:
15
24
36
54
Answer: A
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
Choices:
6 kmph
7 kmph
5 kmph
1 kmph
Answer: A
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
6.25
6.5
6.75
7
Answer: A
Question: A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction T of the cookies that were placed in the other tins were placed in the green tin?
Choices:
9/4
5/9
7/5
9/7
Answer: B
Question: If 0 < a < b and k = (2a + 5b)/b , which of the following must be true?
Choices:
k < 7
k < 9
k > 9
k > 11
Answer: A
Question: what rate percentage is 1 minute 48 seconds to an hour?
Choices:
2%
3%
4%
5%
Answer: B
Question: A cube has two of its faces painted half red and half blue. The other faces are completely painted white. What is the ratio between the red painted areas and the white painted areas of the cube?
Choices:
2:3
2:5
1:6
1:4
Answer: D
Question: A dealer sold two of his cattle for Rs. 500 each. On one of them he lost 10% on the other, he gained 10%. His gain or loss percent in the entire transaction was:
Choices:
1% loss
1% gain
Neither loss nor profit
2% gain
Answer: B
Question: A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 8 feet and a height of 10 feet, how far (in feet) did the oil level drop in the stationary tank?
Choices:
0.08
0.064
0.64
6.4
Answer: B
Question: A man with his bike travels to a place 150 km away at an average speed of 50 km per hour and returns at 30 km per hour. His average speed for the whole journey in km per hour is
Choices:
37
37.5
40
39
Answer: B
Question: Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $2 per page each time a page is revised. If a certain manuscript has 100 pages, of which 40 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
Choices:
$620
$650
$680
$770
Answer: A
Question: The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 20 terms of the arithmetic progression?
Choices:
120
150
170
200
Answer: D
Question: The value of x + x(xx) when x = 5 is:
Choices:
B)16
C)18
D)130
E)10
Answer: C
Question: A train 400 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Choices:
56
29
27
21
Answer: A
Question: A woman has three blouses of different colors, four skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
Choices:
12
16
17
22
Answer: D
Question: I bought two stocks, for Rs. 500. I sold one at a loss of 20% and other at a gain of 25% and then I found each stick was sold at the same price. Find the cost of the stock sold at a loss?
Choices:
B)280
C)438
D)306
E)427
Answer: C
Question: The maximum number of student amoung them 1080 pens and 920 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
Choices:
40
80
90
None of these
Answer: A
Question: A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 30,000, B receives:
Choices:
s. 10,200
s. 10,400
s. 10,700
s. 10,800
Answer: A
Question: A person travels equal distances with speeds of 6km/hr, 12km/hr,18km/hr. and takes a total time of 11minutes. Find the total distance ?
Choices:
1500mts
1800mts
2km
1250mts
Answer: B
Question: If x and y are both odd prime numbers and x < y, how many distinct positive integer factors does 2xy have?
Choices:
4
6
8
12
Answer: C
Question: At a meeting, 6 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
Choices:
72
120
144
720
Answer: B
Question: The average weight of a group of boys is 20 kg. After a boy of weight 34 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
14
18
13
10
Answer: C
Question: Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
Choices:
1261
2686
2687
2676
Answer: A
Question: Two pipes A and B can fill a tank in 12 and 24 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
Choices:
8
6
4
10
Answer: A
Question: A thief steals a car at 4.05 P.M. and drives it at 55 km/hr. The theft is discovered at 4.20 P.M. and the owner sets off in another car at 70 km/hr. when will he overtake the thief ?
Choices:
5 P.M.
5.10 P.M.
5.15 P.M.
None of these
Answer: C
Question: A trained covered x km at 70 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
Choices:
99
26.25
66
887
Answer: B
Question: If r and s are positive integers and r-s=6, which of the following has the greatest value R?
Choices:
2r
r +s
2r-s
2s-r
Answer: A
Question: Each shelf of a bookcase contains 24 books. If the librarian took out 40 books and rearranged the remaining books so that all shelves but the last one contained 20 books and the last shelf contained 20 books, how many shelves does the bookcase have?
Choices:
B)5
C)6
D)8
E)10
Answer: D
Question: The sum of money will be triple itself in 20years and simple interest find rate of interest?
Choices:
B)10%
C)15%
D)20%
E)25%
Answer: A
Question: 66 out of 100 the how much out of 75
Choices:
49.5
47.5
46.5
45.5
Answer: A
Question: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Choices:
Rs.992
665
771
211
Answer: A
Question: A trader bought a car at 20% discount on its original price. He sold it at a 100% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
13%
60%
40%
15%
Answer: B
Question: A shopkeeper sells an item at Rs 36 and incurs a loss of 10 %. At what price should the shopkeeper sell it to gain 30 % ? (in Rs)
Choices:
26
28
269
52
Answer: D
Question: In june a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average?
Choices:
30
34
24
12
Answer: C
Question: How many 4-digit Q numbers (ABCD) can be formed such that |A – D| = 2?
Choices:
1,900
1,800
1,600
1,500
Answer: D
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 36 kmph, find the speed of the stream?
Choices:
12 kmph
14 kmph
15 kmph
16 kmph
Answer: A
Question: The speed of a boat in still water is 20 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 18 minutes is:
Choices:
5.5
7.5
6.5
5.1
Answer: B