antoine-444/aqua_rat_dataset huggingface dataset:
Question: Among the employees of a certain company, 52 percent of the employees are male and 48 percent are female. In this company 60 percent of the male employees are married and 50 percent of the female employees are married. If one employee in the company is randomly selected, approximately what is the probability that he or she is NOT married?
Choices:
0.4
0.5
0.6
0.7
Answer: A
Question: There are 50 employees in the office of ABC Company. Of these, 22 have taken an accounting course, 15 have taken a course in finance and 14 have taken a marketing course. Nine of the employees have taken exactly two of the courses and 3 employee has taken all three of the courses. How many of the 50 employees have taken none of the courses?
Choices:
8
14
10
11
Answer: B
Question: Define r* by the equation r* = π-r. Then ((−π)*)* =
Choices:
-1
−π
2π
4π
Answer: B
Question: In how many ways the word "DARKEST" can be arranged?
Choices:
5040
3450
8900
Cannot be determined
Answer: A
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
1
3
4
5
Answer: A
Question: A chartered bank offers a five-year Escalator Guaranteed Investment Certificate.In successive years it pays annual interest rates of 4%, 4.5%, 5%, 5.5%, and 6%, respectively, compounded at the end of each year. The bank also offers regular five-year GICs paying a fixed rate of 5% compounded annually. Calculate and compare the maturity values of $1000 invested in each type of GIC. (Note that 5% is the average of the five successive one-year rates paid on the Escalator GIC.)
Choices:
1276.28
1276.29
1276.21
1276.23
Answer: A
Question: Each side of a certain parallelogram has length 5. If the area of the parallelogram is 20. Which of the following is the measure of one of its angles?
Choices:
45
53.13
90
120
Answer: B
Question: January 1, 2008 is Wednesday. What day of the week lies on Jan 1, 2009?
Choices:
Wednesday
Thursday
Tuesday
Friday
Answer: D
Question: Find the Value of X :log(x+1) + (log(x-1) = log8
Choices:
3
6
9
8
Answer: A
Question: The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child ?
Choices:
4 years
10 years
12 years
None
Answer: A
Question: A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 23 mph, what is the speed of the plain in still air?
Choices:
210
216
235
253
Answer: D
Question: If the time is currently 1:30 pm, what time will it be in exactly 643 hours?
Choices:
6:30 am
7:30 am
8:30 am
9:30 am
Answer: C
Question: The ratio of the cost price and selling price is 2:3. The profit percent is?
Choices:
25%
50%
75%
100%
Answer: B
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?
Choices:
15
18
24
26
Answer: C
Question: A boy traveled from the village to the post-office at the rate of 12.5 kmph and walked back at the rate of 2 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village.
Choices:
7 km
9 km
10 km
12 km
Answer: C
Question: The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 40%?
I will see what is the quickest way to solve it then I will provide the explanation
Choices:
2
9
10
11
Answer: A
Question: There are 5 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed.
Choices:
20
30
32
25
Answer: A
Question: Due to construction, the speed limit along an 4-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Choices:
B) 8
C) 2.49
D) 15
E) 24
Answer: B
Question: What least number must be subtracted from 427398 so that remaining no.is divisible by 10
Choices:
5
6
7
8
Answer: D
Question: A batsman in his 20th innings makes a score of 90, and thereby increases his average by 2. What is his average after the 20th innings? He had never been ’not out’.
Choices:
52
39
43
42
Answer: A
Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
Choices:
5m
2m
8m
3m
Answer: C
Question: Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 for 5 months; C 35 cows for 4 months and D 21 cows for 3 months. If A's share of rent is Rs. 2880, find the total rent of the field.
Choices:
3550
4250
2250
13000
Answer: D
Question: What is the remainder when 3^30 is divided by 5?
Choices:
1
2
3
4
Answer: D
Question: The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is?
Choices:
6.07%
1.09%
6.09%
2.09%
Answer: C
Question: The perimeter of an isosceles right triangle is 8 + 8 sq rt 2. What is the length of the hypotenuse of the triangle?
Choices:
5.656
5
6
7
Answer: A
Question: Shekar scored 76, 65, 82, 67 and 85 marks in Mathematics, Science, Social studies, English and Biology respectively. What are his average marks?
Choices:
69
75
85
90
Answer: B
Question: If cost of 15 eggs be 75 rupees, then find out the cost of 5 dozen eggs.
Choices:
300
500
600
700
Answer: A
Question: If 5 < x < 9 and y = x + 3, what is the greatest possible integer value of x + y?
Choices:
20
21
22
23
Answer: A
Question: A student was asked to find the arithmetic mean of the numbers 3,11,7,9,15,13,8,19,17,21,14 and x. He found the mean to be 12. What should be the remainder in the place of x?
Choices:
6
7
8
9
Answer: B
Question: Find the minimum value of 5cosA + 12sinA + 12
Choices:
-1
2
3
None of these
Answer: A
Question: The average (arithmetic mean) of 4 different integers is 70. If the largest integer is 90, what is the least possible value of the smallest integer?
Choices:
19
29
13
33
Answer: C
Question: In a school with 620 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years 9 months, then the number of girls in the school is
Choices:
200
155
350
None
Answer: B
Question: An article costing rs.300 is sold at 10% discount on a mark-up price. What is the selling price after
discount?
Choices:
270
126
136
146
Answer: A
Question: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
Choices:
9:1
9:2
9:7
9:6
Answer: A
Question: The average age of three boys is 15 years. If their ages are in the ratio 3:5:7 the average age of the young boy is ______ years?
Choices:
8
9
19
17
Answer: B
Question: The number of ways in which six men and six women can be seated in a row, so that no two girls sit together is?
Choices:
6! * ⁷P₆
6! * 7
4! * 4
None
Answer: A
Question: Medals are to be awarded to three teams in a 10-team competition. If one medal is gold, one medal is silver, and one medal is bronze, how many different ways are there to award the three medals to teams in the competition?
Choices:
10!/7!
10!/3!
7!/3!
7!/94!3!)
Answer: A
Question: In a 1000 m race, A beats B by 40 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
Choices:
136 m
268 m
129 m
218 m
Answer: A
Question: In 1950, Richard was 4 times as old as Robert. In 1955, Richard was 3 times as old as Robert. In which year was Richard 1.75 times as old as Robert?
Choices:
1965
1970
1975
1980
Answer: D
Question: A train covers a distance of 12 km in 10 min. If it takes 10 sec to pass a telegraph post, then the length of the train is?
Choices:
168 m
120 m
168 m
200 m
Answer: D
Question: find how many 4 digits no. is less then 1239 such that all 4 digits are distinct.
Choices:
69
70
71
72
Answer: A
Question: A fruit seller sells mangoes at the rate of Rs.14 per kg and thereby loses 15%. At what price per kg, he should have sold them to make a profit of 15%?
Choices:
Rs.12
Rs.18.94
Rs.12.31
None
Answer: B
Question: The average of six number is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. what is the average of the remaining three number ?
Choices:
4.6
4.7
4.8
None of these
Answer: D
Question: How many four digit numbers have no repeat digits, do not contain zero, and have a sum of digits F equal to 28?
Choices:
24
28
48
96
Answer: C
Question: How many unique positive odd integers less than 80 are equal to the product of a positive multiple of 5 and an odd number?
Choices:
8
11
12
15
Answer: A
Question: A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
12,6
15,3
14,4
None of these
Answer: C
Question: Factor: 6x4y3 â€“ 96y3
Choices:
B) 6y3(x2 + 4)(x + 2)(x -2)
C) 3y3(x2 + 4)(x + 2)(x -3)
D) 3y3(x2 + 4)(x + 3)(x -2)
E) 3y3(x2 + 4)(x + 2)(x -4)
Answer: A
Question: Seven children — A, B, C, D, E, F, G and H— are going to sit in seven chairs in a row. The children CF have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
Choices:
720
1440
10080
4800
Answer: C
Question: A “palindromic integer” is an integer that remains the same when its digits are reversed. So, for example, 43334 and 516615 are both examples of palindromic integers. How many 6-digit palindromic integers are both even and greater than 600,000?
Choices:
200
240
300
480
Answer: A
Question: The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 19 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median?
I. 3
II. 7
III. 12
Choices:
II only
III only
I and III only
I, II, and III
Answer: A
Question: A company bought for its 7 offices 3 computers of brand N and 3 computers of brand M. In how many ways could computers be distributed among the offices if each office can have only 1 computer.
Choices:
140
256
292
312
Answer: A
Question: A bookstore has a shelf that contains biographies which normally sell for $20 each and mysteries that normally sell for $12 each. During a sale, the biographies and mysteries are discounted at different rates so that a customer saves a total of $19 from the normal price by buying 5 discounted biographies and 3 discounted mysteries. If the sum of the discount rates for the two types of books is 27 percent, what is the discount rate on mysteries?
Choices:
11%
12.5%
13%
14%
Answer: B
Question: If the circumference of a circle increases from 4pi to 8 pi, what change occurs in the area ?
Choices:
Area is quadrupled
Area is doubles
Area become half
None of these
Answer: A
Question: Which of the following is equivalent to the pair of inequalities x + 5 > 10 and x - 1 <= 5 ?
Choices:
2 <= x < 4
2 < x <= 8
4 < x <= 8
5 < x <= 6
Answer: D
Question: A man rows his boat 75 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
6 kmph
9 kmph
8 kmph
1 kmph
Answer: A
Question: The length of minute hand of a clock is 5.4 cm. What is the area covered by this in 10 minutes
Choices:
15.27
17.27
18.27
19.27
Answer: A
Question: If the remainder is 12 when the integer n is divided by 22, what is the remainder when 2n is divided by 11?
Choices:
2
3
6
7
Answer: A
Question: A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 70 percent of books that were loaned out are returned and there are 66 books in the special collection at that time, how many books of the special collection were loaned out during that month?
Choices:
30
35
40
55
Answer: A
Question: A is twice as good a workman as B and they took 9 days together to do the work B alone can do it in?
Choices:
88 days
21 days
27 days
13 days
Answer: C
Question: When 2/3 of the garments in the shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed. How many of the uninspected garments must pass inspection in order that 70 percent of the garments in the shipment pass?
Choices:
3
8
7
5
Answer: A
Question: David has d books, which is 1/2 times as many as Jeff and 3 as many as Paula. How many books do the three of them have altogether, in terms of d?
Choices:
10/3*d
7/3*d
7/2*d
9/2*d
Answer: A
Question: 2 : 3 : : 23 : ?
Choices:
28
22
29
30
Answer: C
Question: If two-third of a bucket is filled in 100 seconds then the time taken to fill the bucket completely will be .
Choices:
150 seconds
60 seconds
100 seconds
120 seconds
Answer: A
Question: Find the product of the place value and face value of 3 in 5769354
Choices:
900
90
9
0.9
Answer: A
Question: Find the length of the wire required to go 15 times round a square field containing 69696 m2.
Choices:
15840
2667
8766
66711
Answer: A
Question: If 25 percent of p is equal to 10 percent of q, and pq#0, then p is what percent of q ?
Choices:
15%
20%
35%
40%
Answer: D
Question: If x and y are positive odd integers, then which of the following must also be an odd integer? I. x^(y+2) II. x(y+4) III. (y+1)^(x-1) + 5
Choices:
II only
III only
I and III
All options are applicable
Answer: D
Question: Anthony and Michael sit on the six-member board of directors for company T. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony?
Choices:
30%
40%
50%
60%
Answer: B
Question: The cash difference between the selling prices of an article at a profit of 10% and 6% is Rs. 3. The ratio of the two selling prices is?
Choices:
55:53
52:50
22:56
52:51
Answer: A
Question: If n = 2gh, where g and h are distinct prime numbers greater than 2, how many different positive even divisors does n have, including n ?
Choices:
Three
Four
Six
Eight
Answer: B
Question: A sum of Rs.63000 is divided into three parts such that the simple interests accrued on them for three, six and nine years respectively may be equal. Find the amount deposited for 3 years.
Choices:
6000
6500
4500
3000
Answer: A
Question: A train travelled from station P to Q in 8 hours and came back from station Q to P is 6 hours. What would be the ratio of the speed of the train while traveling from station P to Q to that from station Q to P?
Choices:
3:1
3:8
3:4
3:2
Answer: C
Question: Evaluate
30!/28!
Choices:
870
770
670
None of these
Answer: A
Question: The cost of 10 kg of mangos is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is $20.50. Find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?
Choices:
987.4
877.4
637.4
667.4
Answer: B
Question: Krishan and Nandan jointly started a business. Krishan invested four times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
Choices:
Rs.24000
Rs.28000
Rs.36000
Rs.35000
Answer: C
Question: This week, Florry bought the same number of music albums she bought last week, but for a third of the total price. This week, the average (arithmetic mean) price per album
Choices:
is three times last week's average
is a half of last week's average
is a third of last week's average
is the same as last week's average
Answer: C
Question: On Sunday morning, Pugsley and Wednesday are trading pet spiders. If Pugsley were to give Wednesday two of his spiders, Wednesday would then have eight times as many spiders as Pugsley does. But, if Wednesday were to give Pugsley ten of her spiders, Pugsley would now have fourteen fewer spiders than Wednesday had before they traded. How many pet spiders does Pugsley have before the trading game commences?
Choices:
6
8
10
12
Answer: A
Question: A rectangular garden is to be twice as long as it is wide. If 300 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?
Choices:
50
60
70
100
Answer: D
Question: The average weight of A, B and C is 30 kg. If the average weight of A and B be 25 kg and that of B and C be 28 kg, then the weight of B is:
Choices:
15 kg
18 kg
19 kg
16 kg
Answer: D
Question: A group of 55 adults and 70 children go for trekking. If there is meal for either 70 adults or 90 children and if 14 adults have their meal, find the total number of children that can be catered with the remaining food.
Choices:
54
18
17
72
Answer: D
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years, The ratio of the number of boys to the number of girls in the class is :
Choices:
2:3
2:1
2:2
2:6
Answer: A
Question: When the positive integer r is divided by 9, the remainder is 5. What is the remainder when 3r is divided by 9?
Choices:
1
3
4
6
Answer: D
Question: David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?
Choices:
30
10
50
40
Answer: A
Question: the numbers 272738 and 232342,when divided by n, a 2 digit number leave a remainder 13 and 17 respectively.Find the sum of digits of n?
Choices:
5
6
7
8
Answer: C
Question: Calculate the sum of first 60 natural numbers.
Choices:
2830
1830
1831
1835
Answer: B
Question: 1.14 expressed as a per cent of 1.9 is:
Choices:
10%
60%
90%
None
Answer: B
Question: Jane biked 21 2/3 miles in 3 hours and 20 minutes. What was her average rate of speed in miles per hour?
Choices:
6 1/2
7 1/2
7 3/4
8
Answer: A
Question: At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 7 students left the lab, how many students were in the computer lab at 15:44 ?
Choices:
14
25
27
30
Answer: B
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:
5/2
5/1
5/6
5/5
Answer: C
Question: A 250 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 300 m in ?
Choices:
20.2 sec
36 sec
50.4 sec
none of the above
Answer: B
Question: The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?
Choices:
8
16
20
None of these
Answer: A
Question: If a sum of money borrowed at 5 percent/annum SI amounts to Rs.1020 in 4 yrs, then the sum of money borrowed is?
Choices:
Rs. 850
Rs. 910
Rs. 1000
Rs. 1050
Answer: A
Question: What was the day of the week on 15th August, 1947 ?
Choices:
Tuesday
Friday
Thursday
None of these
Answer: B
Question: A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many ways can the test be completed if every question is unanswered?
Choices:
120
625
720
1024
Answer: B
Question: A shopping cart contains only apples, oranges, and pears. If there are twice as many oranges as apples, and twice as many pears as oranges, then the apples are equivalent to what fraction of the pears?
Choices:
1/4
1/2
2/3
3/4
Answer: A
Question: Kelly and Jody packed boxes with books. If Jody packed 10% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed?
Choices:
1 to 4
2 to 5
9 to 1
2 to 3
Answer: C
Question: A Certain car costs Rita $1500 afterwards she spent $50 over it. Now at what price must Rita sell this car in order to make a profit of 7% ?
Choices:
$1712
$1720
$1725
$1730
Answer: A
Question: A group of 7 students bought movie tickets in one row next to each other. If Bob and Lisa are in this group, what is the probability that Bob and Lisa will each sit next to only one of the six other students from the group?
Choices:
4.76%
15.75%
20.67%
25.15%
Answer: A
Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
2.5
3
3.5
None
Answer: B
Question: In a secondary school the seats for Maths, physics and social studies are in the ratio 8 : 5 : 7. there is a proposal to increase these seats by 75%, 40% and 50% respectively. What will be the new ratio?
Choices:
4 : 2 : 3
10 : 7 : 9
1 : 3 : 4
None of these
Answer: A
Question: X is 3 times as fast as Y and is able to complete the work in 40 days less than Y. Find the time in which they can complete the work together?
Choices:
15 days
17 days
18 days
19 days
Answer: A
Question: The C.P of 10 pencils is equal to the S.P of 12 pencils. Find his gain % or loss%?
Choices:
58 2/3%
16 2/3%
46 2/3%
6 2/3%
Answer: B
Question: Of the 100 athletes at a soccer club, 40 play defense and 66 play midfield. If at least 20 of the athletes play neither midfield nor defense, the number of athletes that play both midfield and defense could be any number between
Choices:
10 to 40
26 to 40
30 to 70
40 to 70
Answer: B
Question: A and B started a business investing Rs. 21,000 and Rs. 28,000 respectively. Out of a total profit of Rs. 14,000, B’s share is :
Choices:
7700
7800
7900
8000
Answer: D
Question: When positive integer N is divided by positive integer J, the remainder is 10. If N/J = 205.08, what is value of J?
Choices:
125
75
150
50
Answer: A
Question: A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
Choices:
24
42
81
90
Answer: A
Question: For any integer k greater than 1, the symbol k* denotes the product of all the fractions of the form 1/t, where t is an integer between 1 and k, inclusive. What is the value of 1*/4* ?
Choices:
5
4/5
1/4
1/5
Answer: A
Question: Amber works 28 days a month at d dollars per day for m months out of the year. Which of the following represents her monthly pay?
Choices:
20d
10md/6
28d
20md
Answer: C
Question: A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 11 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Choices:
70
140
165
385
Answer: D
Question: At a florist shop on a certain day, all corsages sold for either $20 or $30. If 8 of the corsages that sold for $30 had instead sold for $20, then the store's revenue from corsages that day would have been reduced by 10 percent. What was the store's actual revenue from corsages that day?
Choices:
$400
$600
$800
$1000
Answer: C
Question: After getting 2 successive discounts, a shirt with a list price of Rs 150 is available at Rs 105. If the second discount is 12.55,find the first discount.
Choices:
18%
24%
17%
20%
Answer: D
Question: How many times digit 6 is used while writing numbers from 100 to 1100?
Choices:
320
252
225
26
Answer: A
Question: Find large number from below question The difference of two numbers is 1355. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1265
1350
1467
1623
Answer: D
Question: In the accounting branch of a commercial institute, the percentage of male and female workers is 48% and 52% respectively. In this branch, 40% of males and 20% of females are age 25 or older. If one of the workers is selected at random, what is the probability that the worker is under 25 years old?
Choices:
0.25
0.45
0.7
0.9
Answer: C
Question: For a certain set of numbers, if x is in the set, then x - 3 is also in the set. If the number 2 is in the set , which of the following must also be in the set ?
a) 4
b) -4
c) -5
Choices:
b only,
c only,
a and b only
b and c only
Answer: A
Question: The area of Circle O is added to its diameter. If the circumference of Circle O is then subtracted from this total, the result is 4. What is the area of Circle O?
Choices:
2
8
4
4π
Answer: D
Question: Suppose that AB = AC = CD and
AD = BD. What is the measure of
6 ADC in degrees?
Choices:
28
32
36
40
Answer: C
Question: In the coordinate plane, Line A has a slope of -1 and an x-intercept of 2. Line B has a slope of 5 and a y-intercept of -10. If the two lines intersect at the point (a,b), what is the sum a+b?
Choices:
1
2
3
4
Answer: B
Question: If the circus were to sell all of its 220 tickets for this month's performance at its usual price, the revenue from sales would be 10% greater than that collected last month. If the circus raised the ticket price by 5% and sold only 200 tickets as a result, what percent less would last month's revenue be compared to this month's revenue?
Choices:
5
100/21
110/20
9/4
Answer: B
Question: The ratio of 2 numbers is 1:2 and their H.C.F. and L.C.M are 10 and 20. Find the numbers.
Choices:
10, 20
20, 30
30, 20
10, 10
Answer: A
Question: By how much is two-fifth of 500 greater than five - seventh of 210 ?
Choices:
50
120
None of these
Cannot be determined
Answer: A
Question: The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest?
Choices:
70 years.
20 years.
30 years.
20 years.
Answer: B
Question: If m and n are positive integers, and m=2n and k=2m, then -
Choices:
m/2 is a factor of k.
3m is a factor of k/2.
k is a factor of m.
k is a factor of m/2.
Answer: A
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A?
Choices:
240
266
216
123
Answer: A
Question: If |x^2 − 12| = x, which of the following could be the value of x?
Choices:
-3
1
2
3
Answer: D
Question: If log 27 = 1.437, then the value of log 9 is:
Choices:
0.945
0.954
0.958
0.998
Answer: C
Question: P can do the work in 12 days and Q can do the same work in 15 days. If they work together for 4 days, what is the fraction of work that is left?
Choices:
2/5
7/15
11/15
23/30
Answer: A
Question: A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters.
Choices:
20,000 square meters
30,000 square meters
40,000 square meters
50,000 square meters
Answer: A
Question: A merchant marks his goods up by 40% and then offers a discount of 10% on the marked price. What % profit does the merchant make after the discount?
Choices:
14%
26%
15%
17%
Answer: B
Question: A committee of 6 is chosen from 6 men and 5 women so as to contain at least 2 men and 3 women. How many different committees could be formed?
Choices:
275
1404
2620
3510
Answer: A
Question: The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 40 percent of b, what is the value of m/x?
Choices:
3/4
4/5
5/4
3/5
Answer: D
Question: A and B can do a piece of work in 6 days. With the help of C they finish the work in 3 days. C alone can do that piece of work in?
Choices:
16 days
6 days
5 days
40 days
Answer: B
Question: Sheela deposits Rs. 3400 in bank savings account. If this is 15% of her monthly income. What is her monthly income in?
Choices:
22666
25000
22235
None of these
Answer: A
Question: In a box, there are 2 yellow, 4 grey and 4 white pencils. One pencil is picked up randomly. What is the probability that it is neither yellow nor grey?
Choices:
2/5
3/5
4/5
5/6
Answer: A
Question: Which is the following is divisible by 11
Choices:
B)4825
C)6594
D)4905
E)4906
Answer: B
Question: A bag contains 2 red and 3 green balls. Another bag contains 4 red and 6 green balls. If one ball is drawn from each bag. Find the probability that one ball is red and one is green.
Choices:
17/20
21/25
8/10
9/40
Answer: B
Question: If an object travels at five feet per second, how many feet does it travel in one hour?
Choices:
1900
1400
1600
1800
Answer: D
Question: 1/(4-√15)=?
Choices:
4+√15
9+2√5
9-2√5
4+9√5
Answer: A
Question: Which of the following options is an appropriate approximate value in the following equation’? 625.3 of 165.83+42% of 1560= ? - 625.7
Choices:
12825.3
1034825.3
104425.3
104825.3
Answer: D
Question: 9 neighbors are to split the cost of topsoil. The cost of the 5 truck loads of dirt was $690.47. What is the least amount of money (in whole number of dollars) that they must add to bill if they wants to split this money evenly among his nine neighbors?
Choices:
690.48
690.5
690.51
690.52
Answer: A
Question: A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked at 7 miles per hour for 2 hours. How many miles in total did she walk?
Choices:
52
58
60
62
Answer: A
Question: At the end of the first quarter, the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 60 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?
Choices:
25%
30%
33.33%
40%
Answer: C
Question: A man can row upstream at 60 kmph and downstream at 90 kmph, and then find the speed of the man in still water?
Choices:
75 kmph
30 kmph
73 kmph
65 kmph
Answer: A
Question: If x-y=8, which of the following must be true?
I. Both x and y are positive
II. If x is negative, y must be negative
III. If x is positive, y must be positive
Choices:
II only
III only
I and II
II and III
Answer: A
Question: Six years back, a father was 42 years older than his son. At present the father is 4 times as old as the son. How old will the son be three years from now?
Choices:
19 years
18 years
17 years
16 years
Answer: C
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1904?
Choices:
1700
2889
27670
2771
Answer: A
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 340 m long?
Choices:
56 sec
45 sec
48 sec
50 sec
Answer: A
Question: If 5 (A's capital) = 7 (B's capital) = 9 (C's capital). Then the ratio of their capitals is?
Choices:
63:45:38
62:45:35
63:45:35
63:44:35
Answer: C
Question: At a dinner party, 7 people are to be seated around a circular table. Two seating arrangement 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:
10
720
32
120
Answer: B
Question: Find: S.l on Rs 68000 at 16 2/3%per annum for 9 months
Choices:
7500
8500
9500
9000
Answer: B
Question: If four coins are tossed, the probability of getting two heads and two tails is ?
Choices:
3/8
3/2
3/1
3/9
Answer: A
Question: Worker A takes 5 hours to do a job. Worker B takes 10 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
Choices:
40/9
50/9
60/9
10/3
Answer: D
Question: A consignment of 20 picture tubes contains 5 defectives. Two tubes are selected one after the other at random. The probability that both are defective assuming that the first tube is not replaced before drawing
the second, would be:
Choices:
1/19
1/4
1/3
none of these
Answer: A
Question: A grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 50 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?
Choices:
26%
32%
34%
40%
Answer: A
Question: A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is?
Choices:
5 5/9 %
5 8/9 %
5 1/9 %
5 5/5 %
Answer: A
Question: By selling 12 pencils for a rupee a man loses 12%. How many for a rupee should he sell in order to gain 18%?
Choices:
12
10
89
81
Answer: A
Question: On a certain island, 5% of the 10000 inhabitants are one-legged and half of the others go barefooted. What is the least number of Shoes needed in the island?
Choices:
10000
9500
9700
9900
Answer: A
Question: In what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
Choices:
5/6
5/0
5/3
5/8
Answer: A
Question: A sauce is composed of tomato, chilly, and soybean. To make 10 kg of sauce containing twice as much tomato as chilly, and three times as much chilly as soybean how many grams of chilly is required? (1kg=1000gm)
Choices:
700gm
600gm
150gm
1000gm
Answer: D
Question: If the average (arithmetic mean) of a list of numbers is 12 and the standard deviation of that list of numbers is 1.3, then which of the following numbers is more than two standard deviations from the mean?
I. 14.7
II. 9.2
III. 9.7
Choices:
I and II only
II only
III only
I and III only
Answer: A
Question: Find the product of the localvalue and absolutevalue of 1 in 20168?
Choices:
100
151
120
140
Answer: A
Question: A motor cyclist participant of a race says "We drove with the speed of 15 miles an hour one way, but while returning because of less traffic we drove on the same route with 21 miles per hour." What was their average speed in the whole journey?
Choices:
12 miles/hour
11 miles/hour
13 miles/hour
17.5 miles/hour
Answer: D
Question: On multiplying a number B by 153, the result obtained was 102325. However, it is found that both the 2's are wrong. Find the correct result.
Choices:
107375
108385
109395
105355
Answer: C
Question: P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 336 is divided among them . What is R's share?
Choices:
96
134
144
None of these
Answer: A
Question: The income derived from a Rs. 100, 13% stock at Rs. 105,is :
Choices:
Rs. 8
Rs. 13
Rs. 18
Rs. 19
Answer: B
Question: If y = 2 + 2K and y≠0y≠0, then 5/y + 3/y + 1/y + 1/y = ?
Choices:
5/(1+k)
1/(8+k)
4/(8+k)
4/(1+k)
Answer: A
Question: If there are 6 men and 55 tasks , how many tasks will be left undone if they perform equal number of tasks?
Choices:
2
3
1
4
Answer: C
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 900 m long?
Choices:
210 Sec
776 Sec
166 Sec
997 Sec
Answer: A
Question: The expression (a+b+c)10 is expanded and simplified. How many terms are in the resulting
expression?
Choices:
44
55
66
133
Answer: C
Question: How many integer values Q are there for x such that 1 < 3x + 5 < 17?
Choices:
Three
Four
Five
Six
Answer: C
Question: In a 500 m race, the ratio of speeds of two runners P and Q is 3:5. P has a start of 200 m then the distance between P and Q at the finish of the race is:
Choices:
Both reach at the same time
Q wins by 50 m
Q wins by 100 m
None of these
Answer: A
Question: Andy solves problems 75 to 125 inclusive in a Math exercise. How many problems does he solve?
Choices:
52
51
50
49
Answer: B
Question: 0,1,2.9,5.61,9.05,?
Choices:
12.15
13.15
14.15
15.15
Answer: B
Question: There are 6 boxes numbered 1, 2,…,.6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is
Choices:
21
45
63
23
Answer: A
Question: How long does a train 110 m long traveling at 90 kmph takes to cross a bridge of 170 m in length?
Choices:
sec
sec
sec
sec
Answer: C
Question: A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 6 people to travel x miles if he decides to give them a 50% discount?
Choices:
3xr/100
3r/200x
3xr/200
xr/600
Answer: A
Question: Nine persons went to a hotel for taking their meals. Eight of them spent 16 each on their meals and the ninth spend 8 more than the average expenditure of all the nine. What was the total money spent by them?
Choices:
117
119
122
153
Answer: D
Question: In Township K each property is taxed at 8 percent of its assessed value. If the assessed value of a property in Township K is increased from $20,000 to $24,000, by how much will the property tax increase?
Choices:
$50
$320
$400
$500
Answer: B
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
110
120
130
140
Answer: B
Question: A fruit vendor purchased 20 dozens of apples at $15 per dozen. But one-fourth of the apples were rotten and had to be thrown away. He sold two-third of the remaining apples at a$22.50 per dozen. At what price per dozen should he sell the remaining apples to make neither a profit nor a loss?
Choices:
$14
$15
$18
$20
Answer: B
Question: A person crosses a 1080 m long street in 10 minutes. What is his speed in km per hour?
Choices:
6.4
4.8
5.4
5.5
Answer: A
Question: 1 + 9 + 8 = ? considering, 28 + 8 + 92 = 10
what is....?
Choices:
8
9
6
10
Answer: D
Question: If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following?
Choices:
4
5
8
9
Answer: C
Question: The ratio between the length and the breadth of a rectangular park is 1 : 2. If a man cycling along the boundary of the park at the speed of 6 km/hr completes one round in 6 min, then the area of the park (in sq. m) is?
Choices:
6000 m
20000 m
100 m
2000 m
Answer: B
Question: A standard-sized cigarette can be rolled out of 6 standard-sized cigarette butts. How many cigarettes can be made and smoked from 36 butts?
Choices:
3
5
7
1
Answer: C
Question: The visitors of a modern art museum who watched a certain Picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it. According to the results of the survey, all 100 visitors who did not enjoy the painting also did not feel they had understood the painting, and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting. If 3/4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting, then how many visitors answered the questionnaire?
Choices:
120
160
360
400
Answer: D
Question: A certain galaxy is known to comprise approximately 2x 10^11 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun?
Choices:
1,250
8,000
4,000
80,000
Answer: C
Question: 3 singers will pick a song among a list of 3 songs. What is the probability that exactly one singer will pick a different song?
Choices:
3!/3^3
3/3!
3/3^3
1/3!
Answer: A
Question: If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678. Then the code for the word
"ROD" would be
Choices:
174
176
180
182
Answer: B
Question: x and y are positive integers of J. If 1/x + 1/y < 2, which of the following must be true?
Choices:
xy>1
x/y + y/x < 1
(x - y)^2 > 0
None of the above
Answer: A
Question: Working alone at its constant rate, pump U pumped out ¼ of the water in a tank in 2 hours. Then pumps V and W started working and the three pumps, working simultaneously at their respective constant rates, pumped out the rest of the water in 3 hours. If pump V, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water, how many hours would it have taken pump W, working alone at its constant rate, to pump out all of the water that was pumped out of the tank?
Choices:
12
15
18
24
Answer: A
Question: A tourist does not have to pay tax on the first $600 of goods he purchases in Country B, but does have to pay a 7 percent tax on the portion of the total value that is in excess of $600. What tax must be paid by a tourist if he buys goods with a total value of $1720?
Choices:
$78.40
$90.00
$100.80
$154.80
Answer: A
Question: The average age of an adult class is 40years. 12new students with an avg age of 32years join the class. Therefore decreasing the average by 4year. Find what was theoriginal strength of class?
Choices:
12
15
17
18
Answer: A
Question: X is three times as fast as Y and working together, they can complete a work in 20 days. In how many days can Y alone complete the work?
Choices:
80 days
13 days
15 days
19 days
Answer: A
Question: Find the area of circle whose radius is 9m?
Choices:
154
254.6
280
371
Answer: B
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 50 paisa. If the share of Y is RS. 63, what is the total amount?
Choices:
273
117
118
119
Answer: A
Question: The salaries of A, B and C are of ratio 2:3:5. If the increments of 15%, 10% and 20% are done to their respective salaries, then find the new ratio of their salaries
Choices:
21:33:60
22:33:60
23:33:60
None of these
Answer: C
Question: When an amount was distributed among 14 boys, each of them got rs 80 more than the amount received by each boy when the same amount is distributed equally among 18 boys. What was the amount?
Choices:
5040
5010
5030
5070
Answer: A
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Choices:
7867
4500
2789
3671
Answer: B
Question: A freelancer charges a fixed fee of $20 for his services. Any additional alterations costs 15% of the fixed fee per hour. If Tim hires this freelancer, and hires him again to make alterations which took 20 more hours. How much does Tim have to pay the freelancer in total?
Choices:
23
100
20
80
Answer: D
Question: Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 55 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.17
7.62
7.15
7.11
Answer: B
Question: How many of the integers between 25 and 95 are even ?
Choices:
35
11
10
9
Answer: A
Question: A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 6 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choices:
2.9 hrs
1.9 hrs
6 hrs
5 hrs
Answer: C
Question: In a certain corporation, there are 300 male employees and 150 female employees. It is known that 20% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 450 employees is chosen at random, what is the probability this employee has an advanced degree or is female?
Choices:
7/15
3/5
2/5
3/4
Answer: A
Question: Find the value of y from (12)^3 x 6^ 4 ÷ 432 = y?
Choices:
4567
4789
5678
y=5184
Answer: D
Question: A car finishes a journey in nine hours at the speed of 80 km/hr. If the same distance is to be covered in six hours how much more speed does the car have to gain?
Choices:
40 km/hr
12 km/hr
16 km/hr
None of these
Answer: A
Question: How many times does the minute hand and the second hand make a straight line?
Choices:
2832
2855
2381
2831
Answer: A
Question: A used-book dealer sells paperback books at 3 times dealer's cost and hardback books at 4 times the dealer's cost. Last week, the dealer sold a total of 140 books, each of which had cost the dealer $1. If the gross profit (sales revenue minus the dealer's cost) on the sale of all of these books was $400, how many of the books sold were paperbacks?
Choices:
20
60
80
100
Answer: A
Question: In how many ways can a group of 4 men and 2 women be made out of a total of 7 men and 3 women?
Choices:
102
105
107
101
Answer: B
Question: In a certain year, the population of a certain town was 9000. If in the next year the population of males increases by 4% and that of the females by 8% and the total population increases to 9600, then what was the ratio of population of males and females in that given year?
Choices:
1 : 2
2 : 3
Data inadequate
None of these
Answer: A
Question: Average of 7 results is 121. If the average of first three results is 115 and average of last three results is 120 Then find the fourth result?
Choices:
142
126
185
165
Answer: A
Question: In an election between two candidates, 70% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 6552 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.
Choices:
13000
14000
12000
None of these
Answer: A
Question: 100 oranges are bought at the rate of Rs. 350 and sold at the rate of 48 per dozen. The percentage of profit is
Choices:
13 2/7%
14 2/7%
15 2/7%
16 2/7%
Answer: B
Question: The Kiljaro Highway is marked with Milestones denoting the distance to the town of Kiljaro. Tommy left kiljaro and drove the highway, passing the 30 km milestone at 8:30. Some time afterwards, Tommy got a phone call asking him to return home, and he made a U-turn at the 160 km milestone. At 09:A0 Tommy passed the milestone marking 70 km to Kiljaro. The variable A represents the tens digit of the minutes in 09:A0. Assuming Tommy maintained the same constant speed during the entire drive, how many kilometers did Tommy travel in one minute?
Choices:
220/(30+10A)
220/36A
220/(30+10A)
220/40A
Answer: A
Question: The compound ratio of 5:1, 3:1 and 2:5?
Choices:
6:1
1:5
1:1
1:6
Answer: A
Question: Mahesh can do a piece of work in 45days. He works at it for 20days and then Rajesh finished it in 30days. How long will Y take to complete the work?
Choices:
54
37
41
30
Answer: A
Question: A lemonade stand sold only small and large cups of lemonade on Tuesday. 5/9 of the cups sold were small and the rest were large. If the large cups were sold for 12/11 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
Choices:
(b) 7/15
(c) 48/103
(d) 17/35
(e) 1/2
Answer: B
Question: A square, with perimeter 80, is inscribed in a circle. What is the area of the circle?
Choices:
200π
250π
300π
150π
Answer: A
Question: Ajit was driving down the country side when he saw a farmer tending his pigs and ducks in his yard. Ajit asked the farmer how many of each he had.The farmer replied that there were 60 eyes and 86 feet between them.How many ducks and how many pigs were there ?
Choices:
14
15
16
17
Answer: D
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Choices:
44
72
62
43
Answer: A
Question: A car takes 6 hours to cover a distance of 630 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
50
40
70
65
Answer: C
Question: In a forest 150 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