antoine-444/aqua_rat_dataset huggingface dataset:
Question: If a is Negative integers and b is positive integers and a ≠ 0 which of the following equal 0 ?
Choices:
a^2+b^2
a*b
a/b
a^2-b^2
Answer: D
Question: The sum of three consecutive even numbers is 63, Find the last one ?
Choices:
24
21
23
19
Answer: C
Question: If difference between compound interest and simple interest on a sum at 5% P.a. for 2 years is Rs.60, then what is the sum?
Choices:
Rs.4000
Rs.5000
Rs.6000
Rs.24000
Answer: D
Question: In how many no. between 10 and 20 exactly Two of the digits is 1?
Choices:
35
10
1
15
Answer: C
Question: The sum of the two numbers is 11 and their product is 24. What is the sum of the reciprocals of these numbers ?
Choices:
11/24
13
13/15
None
Answer: A
Question: A car covers a distance of 1932 km in 7 hours. Find its speed?
Choices:
288
271
276
128
Answer: C
Question: If point A coordinates are (-4, -3) point B coordinates are (8 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.
Choices:
(-2, - 2/3)
(2/3, -2)
(0, 2)
(2, 2/3)
Answer: A
Question: Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $4 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?
Choices:
8n + 4
9n + 2
9n + 3
9n + 4
Answer: C
Question: Mr. Hanson has a pool of money from which to give out Christmas bonuses to his 5 employees. He wants all his employees to have identical bonuses, but when he divides them out, he finds he has 2 dollars left over, as the payroll system will only accept whole dollar amounts. The next Christmas, Mr. Hanson discovers the pool for the bonuses is 3 times the size. This time, how much money will be left over?
Choices:
1
2
3
4
Answer: A
Question: In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability E at least one of the shirts he draws will be blue?
Choices:
28/153
5/17
E=4/9
E=12/17
Answer: D
Question: Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations L of project assignments are possible?
Choices:
1,680
2,340
362,880
592,704
Answer: A
Question: A lady grows cabbage in her garden that is in the shape of a square. Each cabbage takes 1 square foot of area in her garden. This year, she has increased her output by 127 cabbages when compared to last year. The shape of the area used for growing the cabbage has remained a square in both these years. How many cabbages did she produce this year?
Choices:
4096
5000
5096
Cannot be determined
Answer: A
Question: The total age of A and B is 13 years more than the total age of B and C. C is how many years younger than A.?
Choices:
12
15
20
13
Answer: D
Question: Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is?
Choices:
1/7
1/8
1/1
1/3
Answer: A
Question: What is the probability that when a hand of 5 cards is drawn from a well shuffled deck of 52 cards,
it contains all Queens?
Choices:
192/379015
379015/192
1/379015
2/379015
Answer: A
Question: Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
Choices:
10
15
15
12
Answer: A
Question: For the past n days, the average (arithmetic mean) daily production at a company was 60 units. If today's production of 90 units raises the average to 65 units per day, what is the value of n ?
Choices:
18
10
9
5
Answer: D
Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 15 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Choices:
80 miles
75 miles
120 miles
400 miles
Answer: B
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Choices:
838
960
838
939
Answer: B
Question: The average earning of amechanic for the first 4days of a week is Rs.18 and for the last four days is Rs.22. If heearns Rs.20 on the fourth day, his average earning forthe whole week is?
Choices:
Rs. 20
Rs. 30
Rs. 40
Rs. 50
Answer: A
Question: By selling 50 meters of cloth. I gain the selling price of 20 meters. Find the gain percent?
Choices:
42 5/8%
42 6/4%
42 6/8%
66 2/3%
Answer: D
Question: A Sum of Rs.2600, is lent out in 2 parts SI at 10% for 5yrs is equal to SI on 2nd part at 9% rate for 6 yrs. find the ratio of parts.
Choices:
27:25
25:27
23:29
21:19
Answer: A
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Choices:
190
388
277
281
Answer: A
Question: In a park there are two ponds with both brown ducks and green ducks. In the smaller pond there are 20 ducks and in the larger pond there are 80 ducks. If 20% of the ducks in the smaller pond are green and 15% of the ducks in the larger pond are green, then what percentage of ducks are green?
Choices:
14%
15%
16%
17%
Answer: C
Question: At a party, everyone shook hands with everybody else. There were 66 handshakes.
How many people were at the party?
Choices:
18
11
12
19
Answer: C
Question: Find the area of the square, one of whose diagonals is 5.9 m long ?
Choices:
17.4m^2
8.96m^2
7.8m^2
27.14m^2
Answer: A
Question: During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 40 miles per hour for the entire trip?
Choices:
50%
200/x%
60/x%
500/x%
Answer: B
Question: ACME’s manufacturing costs for sets of horseshoes include a $22,450 initial outlay, and $30per set. They can sell the sets $70. If profit is revenue from sales minus manufacturing costs, and the company producessells 1000 sets of horseshoes, what was their profit?
Choices:
$18550
$17000
$20550
$17550
Answer: D
Question: The inverse ratio of 9: 2: 1 is?
Choices:
2:9:18
2:7:18
2:13:18
2:9:15
Answer: A
Question: The price of a commodity was raised by 25%. So what is % amount of commodity would be reduced by family so that the amount spent on the commodity remains same
Choices:
20%
30%
40%
50%
Answer: A
Question: An investor bought 200 shares of stock in ABCD company in 1990. By 1992, the investment was worth only 2/3 of its original value. By 1995, the 200 shares were worth only 1/4 of their value in 1990. By what percent did the value of the investment drop from 1992 to 1995?
Choices:
62.5%
33 1/3%
50%
66 2/3%
Answer: A
Question: A train 300 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Choices:
9 sec
12 sec
18 sec
19 sec
Answer: C
Question: A trader has 1600 kg of sugar. He sells a part at 8% profit and the rest at 12% profit. If he gains 11% on the whole , find the quantity sold at 12%?
Choices:
1200
1400
1450
1500
Answer: A
Question: The price of the jewel, passing through three hands, rises on the whole by 65%. If the first and the second sellers 20% and 25% profit respectively find the percentage profit earned by the third seller.
Choices:
10
15
25
30
Answer: A
Question: Juan is a gold medalist in athletics. In the month of May, if Juan takes 12 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Choices:
11x/y
9x/y
12x/y
13x/y
Answer: C
Question: x^2 + dx + 72 = 0 has two distinct integer roots; how many values are possible for d?
Choices:
6
8
12
24
Answer: C
Question: 1,257
1,275
1,527
........
........
+7,521
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2,5 and 7 exactly once in each integer. What is the sum Q of the 24 integers ?
Choices:
44,406
60,444
66,660
99,990
Answer: D
Question: 495 x 495 = ?
Choices:
250025
5000
245025
240000
Answer: C
Question: An gun can take a maximum of four shotsat an enemyplane moving away from it. The probability of hitting the plane at the 1st, 2nd, third and 4th shots are 1.4, 1.3, 1.2 & 1.1 respectively. What is the probability that the plane is hit when all the four shots are fired?
Choices:
0.6976
0.8212
0.7541
0.9847
Answer: A
Question: If j and k are two positive integers and j/k = 1.05, then j can equal which one of the following?
Choices:
21
20
22
23
Answer: A
Question: It rained as much as on Wednesday as on all the other days of the week combined. If the average rainfall for the whole week was 2 cms, How much did it rain on Wednesday?
Choices:
7
10.2
10.1
10.6
Answer: A
Question: A rectangular grass field is 95 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Choices:
1550
9676
1679
2691
Answer: A
Question: Anmol can eat 27 pastries in a hour.
Aakriti can eat 2 pastries in 10 minutes.
Divya can eat 7 pastries in 20 minutes.
How long will it take them to eat a 360 pastries ?
Choices:
6 hours.
5 hours.
4 hours.
3 hours.
Answer: A
Question: In a simultaneous throw of pair of dice .find the probability of getting the total more than 7
Choices:
12/5
5/12
5/7
2/5
Answer: B
Question: ACME’s manufacturing costs for sets of horseshoes include a $11,450 initial outlay, and $19.75 per set. They can sell the sets $52.00. If profit is revenue from sales minus manufacturing costs, and the company producessells 987 sets of horseshoes, what was their profit?
Choices:
$20,380.75
$41,308.50
$51,817.50
$53,624.25
Answer: A
Question: Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 employees consist of 3 women and one man?
Choices:
35
56
70
105
Answer: C
Question: The average (arithmetic mean) of the integers from 100 to 200, inclusive, is how much lesser than the average of the integers from 150 to 950, inclusive?
Choices:
475
300
425
400
Answer: D
Question: In a throw of dice what is the probability of getting number greater than 5
Choices:
1/3
1/5
1/6
None of these
Answer: C
Question: Points A and B are both in the line segment PQ and on the same side of its midpoint. A divides PQ in the ratio 2:3, and B divides PQ in the ratio 3:4. If AB=2, then the length of PQ is:
Choices:
70
80
85
90
Answer: A
Question: Jake, Lena, Fred, John and Inna need to drive home from a corporate reception in an SUV that can seat 7 people. If only Inna, Lena or Jake can drive, how many seat allocations are possible?
Choices:
42
120
360
1080
Answer: D
Question: In a six-sided polygon EQRSTV ∠E measures 48° less than the average (arithmetic mean) of the remaining five angles. What does ∠E equal to, in degrees?
Choices:
80
88
96
104
Answer: A
Question: The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
Choices:
48.55
49.05
49.0
45.0
Answer: A
Question: When a number is divided by 6 &then multiply by 12 the answer is 9 what is the no.?
Choices:
4.5
5.5
5.8
6
Answer: A
Question: At a certain organisation, the number of male members went up by 12% in the year 2001 from year 2000, and the number of females members went down by 4% in the same time period. If the total membership at the organisation went up by 1.2% from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000?
Choices:
1:2
2:3
3:2
2:1
Answer: A
Question: Joe is painting a rectangular room whose dimensions are given by a, b and c meters. Joe takes 8 hours to paint a wall with dimensions a and c. He takes 4 hours to paint a wall with dimensions b and c and 12 hours to paint the ceiling with dimensions a and b. If Joe works at a constant rate and a = 7, then what is the volume of the room?
Choices:
24 cubic meters
30 cubic meters
36 cubic meters
57.1 cubic meters
Answer: D
Question: A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.43 per bag, and 25-pound bags $32.20 per bag. If a customer is to buy at least	65 pounds of the grass seed,	but no more than 80 pounds,	what is the least possible cost of the grass seed that the customer will buy?
Choices:
$96.75
$98.68
$102.07
$105.3
Answer: B
Question: The length of a rectangle is reduced by 22%. By what % would the width have to be increased to maintain the original area?
Choices:
15%
28%
30%
35%
Answer: B
Question: A flagpole 18 meters high casts a shadow of length 45 meters. If a building under similar conditions casts a shadow of length 70 meters, what is the height of the building (in meters)?
Choices:
24
28
32
36
Answer: B
Question: A 160 meter long train crosses a man standing on the platform in 4 sec. What is the speed of the train?
Choices:
144 kmph
176 kmph
134 kmph
161 kmph
Answer: A
Question: The price of the jewel, passing through three hands, rises on the whole by 68%. If the first and the second sellers 20% and 25% profit respectively find the percentage profit earned by the third seller.
Choices:
12
15
25
30
Answer: A
Question: Kamal bought a house, whose sale price was Rs. 8 lakh. He availed 20% discount as an early bird offer and then 10% discount due to cash payment. After that he spent 10% of the cost price in interior decoration and lawn of the house. At what price should he sell the house to earn a profit of 25%?
Choices:
Rs. 7.99 lakh
Rs. 7.92 lakh
Rs. 7 lakh
None of These
Answer: B
Question: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Choices:
3/4
7/19
8/21
None
Answer: C
Question: A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 3,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choices:
6.89%
7.69%
8.21%
8.75%
Answer: B
Question: If x and y are two different prime numbers, which of the following cannot be true?
Choices:
x + y is even.
x + y is odd
xy is even
x/y is an integer
Answer: D
Question: What is the principal sum?
I. The sum amounts to Rs. 690 in 3 years at S.I.The rate of interest is 5% p.a.
II. The sum amounts to Rs. 750 in 5 years at S.I.The rate of interest is 7% p.a.
III. The sum amounts to Rs. 580 in 3 years at S.I. The rate of interest is 6% p.a.
Choices:
II and III only
I and II only
Any two of the three
Any one of the above
Answer: D
Question: What was the day on 15th august 1947 ?
Choices:
Friday
Wednesday
Thursday
Sunday
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 0vers to reach the target of 282 runs?
Choices:
6.25
6.75
7
None
Answer: A
Question: Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 6 muffins remained. How many guests did Monica plan on?
Choices:
4.
2.
6.
7.
Answer: B
Question: The distance light travels in one year is approximately 5,880,000,000,000 miles. The distance light travels in 100 years is
Choices:
B) 587 × 1010 miles
C) 587 × 10-10 miles
D) 588 × 1012 miles
E) 587 × 10-12 miles
Answer: C
Question: what is the angle between the hands of a clock when time is 16:40?
Choices:
420deg
145deg
150deg
300deg
Answer: A
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Choices:
175
165
155
125
Answer: A
Question: During the months May through October, Teddy the bear triples his weight, and during the months November through April, Teddy loses 100 pounds. If at the beginning of November 1973, Teddy's weight was m pounds, what was Teddy's weight in pounds by the end of April 1976?
Choices:
9m−1300
4m−1200
3m−300
m−1300
Answer: A
Question: Stephanie wants to buy lipsticks. Each lipstick costs $20. How much will she pay if she decides to buy 5 lipsticks?
Choices:
$100
$20
$10
0
Answer: A
Question: The distance between A&B is 600km. A person is traveling from A to B at 80km/hr started at 11AM and another person is traveling from B to A at 70km/hr and started at same time. Then at what time they meet together.?
Choices:
B)4PM
C)1PM
D)3PM
E)5PM
Answer: C
Question: There are two concentric circles with radii 6 and 4. If the radius of the outer circle is increased by 50% and the radius of the inner circle decreased by 25%, by what percent does the area between the circles increase?
Choices:
210
260
310
360
Answer: B
Question: During the first two weeks of January, the total rainfall in Springdale was 40 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall during the second week of January?
Choices:
6 inches
9 inches
10 inches
24inches
Answer: D
Question: A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is?
Choices:
25/42
35/42
25/82
23/42
Answer: A
Question: Arun got 30% of the maximum marks in an examination and failed by 10 marks. However, Sujith who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?
Choices:
250
75
85
None of these
Answer: C
Question: Two pipes A and B can fill a tank in 18 hours and 24 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Choices:
15 hours
10 hours
10 2/7 hours
8 hours
Answer: C
Question: The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
Choices:
5
9
8
2
Answer: A
Question: Tickets numbered from 1 to 20 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bearsa number which is a multiple of 3?
Choices:
3/7
3/10
2/5
2/7
Answer: B
Question: 9548 + 7314 = 8362 + (?)
Choices:
8400
8500
8700
9000
Answer: B
Question: One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.04 for operating-system overhead, $0.023 per millisecond of computer time, and $4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ?
Choices:
$39.89
$58.96
$65.57
$69.92
Answer: A
Question: Reema took a loan of Rs 1500 with simple interest for as many years as the rate of interest. If she paid Rs. 735 as interest at the end of the loan period, what was the rate of interest.
Choices:
6%
7%
8%
9%
Answer: B
Question: The tax on a commodity is diminished by 30% but its consumption is increased by 20%. Find the decrease percent in the revenue derived from it?
Choices:
72%
32%
16%
52%
Answer: C
Question: If y exceeds x by 20%, then x is less than y by?
Choices:
16 2/8%
16 2/3%
16 2/9%
16 2/13%
Answer: B
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Choices:
3 mins
9 mins
8 mins
6 mins
Answer: A
Question: Scott's average (arithmetic mean) golf score on his first four rounds was 18.What score does he need on his fifth round to drop his average score by 2 points?
Choices:
72
8
88
312
Answer: B
Question: In a hockey league there are 10 teams. Each team plays every other team once. If we can play 5 games every week, how many weeks long is one season?
Choices:
9
18
20
22
Answer: A
Question: The jogging track in a sports complex is 627 m in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in?
Choices:
4.56 min
5.08 min
9.28 min
5.988 min
Answer: A
Question: A train passes a platform in 35 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is
Choices:
240 meter
225 meter
200 meter
None of these
Answer: B
Question: A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is?
Choices:
145 km/hr
151 km/hr
180 km/hr
120 km/hr
Answer: D
Question: Having scored 99 runs in the 19th inning, a cricketer increases his average score by 4. What will be his average score after 19 innings?
Choices:
27
26
22
24
Answer: A
Question: An investor deposited $5,000 to open a new savings account that earned 12 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in the account 6 months after the account was opened?
Choices:
$5304.50
$5405.50
$5604.50
$5805.50
Answer: A
Question: Car A runs at the speed of 55 km/hr and reaches its destination in 8 hours. Car B runs at the speed of 70 km/h and reaches its destination in 4 hours. What is the ratio of distances covered by Car A and Car B?
Choices:
4 : 9
11 : 7
5 : 7
6 : 11
Answer: B
Question: Can anyhow help me with an easy solution for this
2, 7, 36, 4, 14, 225, 6, 21, ?
Choices:
576
376
276
676
Answer: A
Question: Simple interest on a certain sum of money for 2 years at16% per annum is one fourth the compound interest on Rs. 4000 for 2 years at 8% per annum. The sum placed on simple interest is
Choices:
Rs.665.6
Rs.520
Rs.166.4
None
Answer: B
Question: Each week, Harry is paid x dollars per hour for the first 35 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?
Choices:
36
34
38
39
Answer: B
Question: A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
Choices:
2.75 days
5.75 days
3.75 days
8.75 days
Answer: C
Question: Find the distance covered by a man walking for 30min at a speed of 10km/hr?
Choices:
3km
4km
5km
6km
Answer: C
Question: How many possible integer values are there for x if |x - 3| < 6 ?
Choices:
Two
Three
eleven
Five
Answer: C
Question: Find the odd man out
2886, 480, 96, 24, 8, 4, 4
Choices:
96
24
8
2886
Answer: D
Question: ’A’ sold an article to ’B’ at a profit of 20%. ’B’ sold the same article to ’C’ at a loss of 25% and ’C’ sold the same article to ’D’ at a profit of 40%. If ’D’ paid Rs 252 for the article, then find how much did ’A’ pay for it?
Choices:
Rs 200
Rs 180
Rs 210
Rs 230
Answer: A
Question: A starts a business with a capital of Rs. 30,000. B joins in the business with Rs.12000 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Choices:
6 months
7 months
10 months
None of these
Answer: C
Question: If â€œ*â€ is called â€œ+â€, â€œ/â€ is called â€œ*â€, â€œ-â€ is called â€œ/â€, â€œ+â€ is called â€œ-â€. 240-80 / 60 - 40 * 10 = ?
Choices:
14.5
12.5
17.5
11.5
Answer: A
Question: The tax on a commodity is diminished by 30% but its consumption is increased by 15%. Find the decrease percent in the revenue derived from it?
Choices:
20%
15%
12%
14%
Answer: A
Question: Ten years ago, P was half of Q's age. If the ratio of their present ages is 3:4 what will be the total of their present ages?
Choices:
67
29
31
35
Answer: D
Question: A = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability E that the sum of the two integers will equal 9 ?
Choices:
0.20
0.25
0.30
0.33
Answer: A
Question: Two digits in John's age are the same as the digit in the Wilson's age, but in reverse order. In 21 years John will be twice as old as Wilson will be then. what is the difference in their current age ?
Choices:
43
14
36
12
Answer: C
Question: The function f is defined for all positive integers x by the following rule. f(x) is the number of positive integers each of which is less than x and has no positive factor in common with x other than 1. If p is any prime, number then f(p)=
Choices:
p-2
(p+1)/2
(p-1)/2
p-1
Answer: D
Question: The present worth of a certain bill due sometime hence is Rs.800 and the true discount is Rs.36.The banker’s discount is
Choices:
Rs.38.98
Rs.37
Rs.37.62
None
Answer: C
Question: Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?
Choices:
4 : 3
5 : 3
Data inadequate
None of these
Answer: A
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:
74
15
44
63
Answer: C
Question: What is the smallest integer T greater than 1 that leaves a remainder of 1 when divided by any of the integers 6, 8, and 10?
Choices:
41
T=121
241
481
Answer: B
Question: What is the minimum percentage increase in the mean of set A {-4, -1, 0, 6, 9} if its two smallest elements are replaced with two different primes?
Choices:
50%
75%
100%
200%
Answer: C
Question: If [[x]] = x^2 + 2x + 4, what is the value of [[2]]?
Choices:
9
12
19
25
Answer: B
Question: If anangletis defined as 1 percent of 1 degree, then how many anglets are there in a fifth circle?
Choices:
7200
360
3,600
36,000
Answer: A
Question: A motorboat can go at 21 kmph and still water. It takes 7 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 3 kmph?
Choices:
85 km
55 km
72 km
40 km
Answer: C
Question: A given line L has an equation 3x+4y=5. Which of the following is the equation of line which is perpendicular to the above line?
Choices:
4x - 3y = 5
3x + 5y = 5
3x + 5y = 3
3x – 4y = 5
Answer: A
Question: The cost price of a radio is Rs.1860 and it was sold for Rs.1340, find the loss %?
Choices:
12%
22%
27%
21
Answer: C
Question: A can do a piece of work in 24 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in ?
Choices:
5 days
6 days
7 days
11 days
Answer: B
Question: A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
Choices:
45
50
55
60
Answer: A
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?
Choices:
14
18
12
19
Answer: C
Question: The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is:
Choices:
50
51.4 approx.
54.6 approx.
54
Answer: B
Question: Out of a total 85 children playing badminton or table tennis or both, total number of girls in the group is 70% of the total number of boys in the group. The number of boys playing only badminton is 50% of the number of boys and the total number of boys playing badminton is 60% of the total number of boys. The number of children playing only table tennis is 40% of the total number of children and a total of 12 children play badminton and table tennis both. What is the number of girls playing only badminton?
Choices:
14
17
Data inadequate
None of these
Answer: A
Question: If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 900 responses are needed, what is the minimum number of questionnaires that should be mailed?
Choices:
1350
1400
1450
1500
Answer: D
Question: There are 35 students in a hostel. If the no. of students increases by 12, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Choices:
259.58
342.58
345.58
380.58
Answer: A
Question: A and B can do a work in 1 day, B and C in 2 days and C and A in 3 days. In how many days will the work be completed, if all three of them work together?
Choices:
12/11
13/16
18/12
14/23
Answer: A
Question: A man speaks truth 3 out of 4 times. He throws a die and reports it to be a 6.
What is the probability of it being a 6?
Choices:
1/2
3/4
3/8
3/6
Answer: C
Question: What is the sum of all two digit numbers?
Choices:
4815
4830
4900
4905
Answer: D
Question: Which of the following is not the square of an integer?
Choices:
458623
227529
261121
478864
Answer: A
Question: If the sum of a number and its square is 240, What is the number?
Choices:
15
25
87
171
Answer: A
Question: Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Anand's present age in years?
Choices:
25
24
35
40
Answer: B
Question: 50% of major airline companies equip their planes with wireless internet access. 70% of major airlines offer passengers free on-board snacks. What is the greatest possible percentage of major airline companies that offer both wireless internet and free on-board snacks?
Choices:
30%
40%
50%
70%
Answer: C
Question: A and B invests Rs.8000 and Rs.15000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
Choices:
32:75
32:45
34:89
35:21
Answer: A
Question: The variables m and n are positive integers. When m is divided by 18, there is a remainder of 12, and when n is divided by 24, there is a remainder of 14. Which of the following are possible values of m + n?
I. 40
II. 70
III. 92
Choices:
III only
I and II
I only III
II and III
Answer: A
Question: The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?
Choices:
120
378
368
367
Answer: A
Question: One fourth of a solution that was 11% salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent salt by weight?
Choices:
34%
22%
31%
8.5%
Answer: C
Question: A train crosses a platform 100 m long in 60 seconds at a speed of 45 km/hr. The time taken by the train to cross an electric pole is :
Choices:
38 sec
44 sec
52 sec
None
Answer: C
Question: David invested a certain sum of money in a bank that paid simple interest. The amount grew to $300 at the end of 2 years. He waited for another 3 years and got a final amount of $390. What was the principal amount that he invested at the beginning?
Choices:
$300
$280
$260
$240
Answer: D
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Choices:
178
342
199
112
Answer: B
Question: In a stack of boards at a lumber yard, the 13th board counting from the top of the stack is immediately below the 12th board counting from the bottom of the stack. how many boards are in the stack?
Choices:
23
25
32
42
Answer: A
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
8
7
5
4
Answer: A
Question: Pary spent 2⁄5 of her money on new clothes and then deposited 1⁄2 of what remained into her savings account. If she then had $21 left, how much did she have at the start?
Choices:
$35
$70
$105
$210
Answer: B
Question: Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.” Every day Dave chooses an outfit consisting of one of each of the following garments: jacket, tie, shirt, pants, boxers, right sock, left sock, right shoe, left shoe. If Dave has more than one of each of the listed garments, and can make 21,870 different outfits, then for how many garments does Dave have exactly five choices?
Choices:
1
2
3
4
Answer: A
Question: Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
Choices:
6
4
3
2
Answer: A
Question: A water tank is four-fifths full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how many minutes will it take to empty or fill the tank completely?
Choices:
9
10
12
15
Answer: C
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
Choices:
40 years
50 years
55 years
None
Answer: A
Question: The integer A has a tens digit of 6 and a units digit of 7. The units digit of integer y is 8. The product of A and y has a tens digit of 8. Which of the following is a possible tens digit of integer y?
Choices:
4
5
6
7
Answer: B
Question: A student has to obtain 30% of the total marks to pass. He got 150 marks and failed by 30 marks. The maximum marks are?
Choices:
600
650
550
500
Answer: A
Question: A, B and C enter into a partnership. A invests 3 times as much as B invests and 2/3 of what C invests. At the end of the year, the profit earned is Rs. 66000. What is the share of C?
Choices:
Rs. 13375
Rs. 16750
Rs. 18000
None of these
Answer: C
Question: John makes $55 a week from his job. He earns a raise andnow makes $60 a week. What is the % increase?
Choices:
9.66%
9.09%
9.98%
17%
Answer: B
Question: The sum of the first k positive integers is equal to k(k+1)/2. What is the sum of the integers from r to s, inclusive, where 0<r<s?
Choices:
s(s+1)/2 - r(r+1)/2
s(s+1)/2 - (r-1)r/2
(s-1)s/2 - (r+1)(r+2)/2
(s-1)s/2 - r(r+1)/2
Answer: B
Question: A shopkeeper sells 200 metres of cloth for Rs. 12000 at a loss of Rs.12 per metre. Find his cost price for one metre of cloth?
Choices:
s.72
s.62
s.50
s.13
Answer: A
Question: What was the day of the week on, 20th July, 1776?
Choices:
Wednesday
Monday
Saturday
SUNDAY
Answer: C
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle?
Choices:
5
8
6
3
Answer: B
Question: Hillary and Eddy are climbing to the summit of Mt. Everest from a base camp 4,700 ft from the summit. When they depart for the summit at 06:00, Hillary climbs at a rate of 800 ft/hr with Eddy lagging behind at a slower rate of 500 ft/hr. If Hillary stops 700 ft short of the summit and then descends at a rate of 1,000 ft/hr, at what time do Hillary and Eddy pass each other on her return trip?
Choices:
13.0
12.0
11.0
10.0
Answer: B
Question: Students at a school were on average 180 cm tall. The average female height was 170 cm, and the average male height was 184 cms. What was the ratio S of men to women?
Choices:
5:2
4:3
4:1
3:1
Answer: A
Question: If a and b are the roots of the equation x2 - 5x + 5 = 0, then the value of a2 + b2 is:
Choices:
24
15
6
5
Answer: B
Question: In an office in Singapore there are 60% female employees. 50 % of all the male employees are computer literate. If there are total 62% employees computer literate out of total 1300 employees, then the no. of female employees who are computer literate ?
Choices:
546
672
960
None
Answer: A
Question: A 7% stock yields 10%. The market value of the stock is:
Choices:
Rs 70
Rs 90
Rs 75
Rs 50
Answer: A
Question: How many positive integers less than 60 have a reminder 01 when divided by 3?
Choices:
14
15
16
20
Answer: D
Question: On a ferry, there are 20 cars and 10 trucks. The cars have an average mass of 1200 kg and the trucks have an average mass of 3000 kg. What is the average mass of all 30 vehicles on the ferry?
Choices:
1800
2000
2100
2200
Answer: A
Question: In a mixed college 160 students are there in one class. Out of this 160 students 1/4 students are girls. How many boys are there ?
Choices:
B)60
C)80
D)120
E)140
Answer: C
Question: In how many ways can a teacher write an answer key for a mini-quiz that contains 3 true-false questions followed by 2 multiples-choice questions with 4 answer choices each, if the correct answers to all true-false questions cannot be the same?
Choices:
90
96
98
102
Answer: B
Question: Helen went to the stationers and bought things worth Euro 25, 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:
Euro 15.70
Euro 13.70
Euro 18.70
Euro 19.70
Answer: D
Question: Complete the series
1,-3, -7, -11, -15, -19... ...
Choices:
0
3
-2
-23
Answer: D
Question: Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/3, what percent of the total number of the remaining employees would then be clerical?
Choices:
25%
20%
12.5%
11.1%
Answer: A
Question: If x and y are odd integers, which of the following must always be a non-integer
Choices:
y/x
x/y
-x^2y
xy/4
Answer: D
Question: A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 250. Find the total worth of the stock?
Choices:
12500
20289
20027
20026
Answer: A
Question: |-2| (|-25|-|5|)= ??
Source: Preparation Material MBA Center
Choices:
40
60
75
100
Answer: A
Question: What is the minimum number of square marbles required to tile a floor of length 3 metres 39 cm and width 1 metres 13 cm?
Choices:
187
540
748
3
Answer: D
Question: complete the numerical series with the correct number
5+3+3=151527
9+2+4=183652
8+6+5=484082
5+4+6=203046
9+5+4= ?
Choices:
453676
454585
454386
444586
Answer: A
Question: An analysis of the monthly incentives received by 5 salesmen : The mean and median of the incentives is $7000. The only mode among the observations is $12,000. Incentives paid to each salesman were in full thousands. What is the difference X between the highest and the lowest incentive received by the 5 salesmen in the month?
Choices:
$5000
$9000
$11,000
$13,000
Answer: C
Question: The rates of simple interest in two banks A and B are in the ratio 5 : 4. A person wants to deposit his total savings in two banks in such a way that he received equal half-yearly interest from both. He should deposit the savings in banks A and B in the ratio.
Choices:
4 : 5
5 : 2
5 : 4
None of these
Answer: A
Question: Revenues were recorded for Store A and Store B over a period of three months. In the first month, Store A's revenues were $60,000 higher than Store B's revenues. In the second month, Store A's revenues were $9,000 higher than Store B's revenues. If Store A's average (arithmetic mean) monthly revenue for the three months was $4,000 greater than Store B's average monthly revenue, then Store B's revenue in the third month was how much greater than Store A's revenue?
Choices:
$15,000
$42,000
$46,000
$57,000
Answer: D
Question: 81,162,49,98,25,50,56
Choices:
112
129
128
131
Answer: A
Question: A 2member committee comprising of one male & one female member is to be constitute out of 5 males and 3females. Among st the females. Ms.A refuses to be a member of the committee in which Mr.B is taken as the member. In how many different ways can the committee be constituted ?
Choices:
14
12
17
20
Answer: A
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Choices:
29000
38000
40000
42000
Answer: B
Question: Suppose 7 students are staying in a hall in a hostel and they are allotted 7 beds. Among them, Parvin does not want a bed next to Anju because Anju snores. Then, in how many ways can you allot the beds?
Choices:
2887
3600
2882
2791
Answer: B
Question: A man covers a certain distance F in a train. If the train moved 4km/hr faster, it would take 30 min less. If it moved 2km/hr slower, it would take 20 mins more. Find the distance?
Choices:
50 km
20 km
60 km
80 km
Answer: C
Question: Find the compound interest on $50000 in 2years at 4% per annum, the interest being compounded half-yearly?
Choices:
$4121.60
$954.26
$745.69
$1020.45
Answer: A
Question: Rajesh can finish 1/5 of his home work in 30 minutes. Seema can finish 3/7 of
her homework in one hour and Ramya can finish 3/4 of her homework in
two and a half hours. If all of them start their home work at 12.00 PM and can
go to play as soon as they all finish their homework. When can they start to
play, if they take a break at 3.00 PM for 30 minutes?
Choices:
5:30pm
6:30pm
4:00pm
3:50pm
Answer: D
Question: The perimeter of a semi circle is 162 cm then the radius is?
Choices:
31.5
98
37
13
Answer: A
Question: A train covers a distance of 12 km in 10 minutes. If it takes 9 seconds to pass a telegraph post, then the length of the train is
Choices:
120m
140m
160m
180cm
Answer: D
Question: By selling 32 cucumber in a dollar, a man loses 40%. How many cucumber must he sell in a dollar to gain 20% profit?
Choices:
16
20
25
28
Answer: A
Question: One pump drains one-half of a pond in 5 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
Choices:
1.2 hour
3 hours
5 hours
1.1 hours
Answer: D
Question: V is the volume of a cylinder; the radius of the cylinder is 3.4. The height of the cylinder is 450% more than the radius. Which of the following is true?
Choices:
700 < V < 900
500 < V < 700
100 < V < 300
900 < V < 1100
Answer: A
Question: Two pipes A and B can fill a tank in 8 hours and 16 hours respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank?
Choices:
5 hours 20 min
3 hours 50 min
3 hours 22 min
3 hours 42 min
Answer: A
Question: Cost is expressed by the formula tb^4. If b is doubled, the new cost W is what percent of the original cost?
Choices:
W=600
W=800
W=1600
W=50
Answer: C
Question: Bob invested $3000 in fund A and $1000 in fund B. Over the next two years, the money in Fund A earned a total interest of 12 percent for the two years combined and the money in fund B earned 30 percent annual interest compounded annually. Two years after bob made these investments. Bob's investment in fund A was worth how much more than his investment in fund B?
Choices:
2. $1550
3. $1600
4. $1670
5. $1700
Answer: C
Question: A number is increased by 70 % and then decreased by 70 %. Find the net increase or decrease per cent.
Choices:
49%
17%
13%
16%
Answer: A
Question: Present age of a father is 3 years more than 3 times theage of his son. 3 years hence, father's age will be 10 years more than twice the age of the son. What is father's present age?
Choices:
29
33
36
39
Answer: B
Question: If the average of 10,11,12,13,14,15,16,17,18 and x is 23, what is the value of x?
Choices:
89
123
x=104
110
Answer: C
Question: If log5 x = 2, what is √x?
Choices:
3√2
2√3
5√3
3√5
Answer: D
Question: A box contains 12 apples, 11 of which are red. An apple is drawn from the box and its color is noted before it is eaten. This is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. What is the smallest possible value of n?
Choices:
4
5
6
7
Answer: D
Question: If i equals the sum of the even integers from 2 to 224, inclusive, and k equals the sum of the even integers from 8 to 80, inclusive, what is the value of i - k?
Choices:
11028
14284
14015
14397
Answer: A
Question: A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
Choices:
1900
1908
1901
1902
Answer: A
Question: A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work?
Choices:
4 days
12 days
9 days
3 days
Answer: A
Question: A palindrome is a number which reads the same when read forward as it it does when read backward. So, how many 5 digit palindromes are there?
Choices:
800
890
900
950
Answer: C
Question: The side of a square is increased by 25% then how much % does its area increases?
Choices:
56.25 %
56.75 %
57.25 %
56.22 %
Answer: A
Question: The cost of 3 kg of sugar is $15. What will the cost of 8 kg of sugar be?
Choices:
40
80
160
180
Answer: A
Question: In how many different number of ways 10 boys and 3 girls can sit on a shopa which can accommodate 3 persons?
Choices:
1716
1617
2000
None
Answer: A
Question: Tough and Tricky questions: Combinations.
Three contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Choices:
9
12
16
24
Answer: A
Question: Double of Quarter of 5 percent written as a decimal is :
Choices:
0.0005
0.025
0.005
None of these
Answer: B
Question: When positive integer k is divided by 5, the remainder is 2. When k is divided by 6, the remainder is 5. If k is less than 42, what is the remainder when k is divided by 7?
Choices:
3
6
7
10
Answer: A
Question: What number times (1⁄4)^2 will give the value of 4^3?
Choices:
16
64
256
1024
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 990 grams per kg, what is his percent?
Choices:
1.01%
22%
29%
45%
Answer: A
Question: 2/5 of the fish in an aquarium are red and 1/4 of the fish are brown. 1/2 of the red fish and 2/5 of the brown fish are male. If the rest of the fish in the aquarium are female, what is the probability that a fish randomly picked from the aquarium is male?
Choices:
2/5
3/10
3/20
7/20
Answer: B
Question: Five equal cubes, each of side 5 cm, are placed adjacent to each other. The volume of the new solid formed will be
Choices:
625 cm3
15525cm3
1225cm3
None
Answer: A
Question: 7 men, 5 women and 8 children were given as assignment of distributing 2000 books to students in a school over a period of 3 days. All of them distributed books on the 1st day. One of the 2nd day 2 women and 3 children remained absent and on the 3rd day 3 men and 5 children remained absent. If the ratio of the no. of books distributed in a day by a man, a woman & a child was 5 : 4 : 2 respectively, a total of approximately how many books were distributed on the second day?
Choices:
500
560
650
700
Answer: C
Question: What percent is 300 gm of 1 kg?
Choices:
40%
30%
8%
12%
Answer: B
Question: Pipe A can fill a tank in 5 hr, pipe B in 10hr and pipe C in 30hr. If all the pipes are open in how many hours will tank be filled?
Choices:
2hr
3hr
4hr
5hr
Answer: B
Question: The average weight of a class of 24 students is 35 kg. if the weight of the teacher be included, the average rises by 400 g. the weight of the teacher is
Choices:
45 kg
53 kg
55 kg
None of these
Answer: A
Question: There are 6 boxes numbered 1, 2,3,4,5 and 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 & the boxes containing green balls are consecutively numbered. The total no. of ways in which this can be done is?
Choices:
20
21
23
26
Answer: B
Question: F is the set of the first n positive odd numbers, where n is a positive integer. Given that n > k, where k is also a positive integer, x is the maximum value of the sum of k distinct members of F, and y is the minimum value of the sum of k distinct members of F, what is x + y?
Choices:
kn + k^2
kn + 2k^2
2kn – k^2
2kn
Answer: D
Question: Three candidates contested an election and received 1136, 7636 and 16628 votes respectively. What percentage of the total votes did the winning candidate got?
Choices:
65.4%
57%
58%
59%
Answer: A
Question: The average weight of 3 packets A, B and C is 84 kg. Another packet D added into the group and the average now becomes 80 kg. If another packet E, whose weight is 3 kg more than that of D, replaces A then the average weight of B, C, D and E becomes 79 kg. The weight of A is:
Choices:
72 kg
75 kg
80 kg
None of these
Answer: B