antoine-444/aqua_rat_dataset huggingface dataset:
Question: Lebron has 297 bottles of beer in his fridge and is inviting eight friends over to drink and watch the game. He wants to make things seem as if everybody will get the same amount of beer. How many beers will he have to drink in order maintain the illusion that he is sharing equally amongst his friends?
Choices:
4
2
8
0
Answer: D
Question: By selling an umbrella for Rs. 300, a shop keeper gains 15%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Choices:
2%
5.88%
3%
4%
Answer: B
Question: 3 candidates in an election & received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidategot in that election?
Choices:
52%
57%
60%
65%
Answer: B
Question: Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively. In how much time will they cross each other, if they are running in the same direction?
Choices:
132 sec
192 sec
252 sec
None
Answer: C
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
Choices:
7
4
3
2
Answer: B
Question: 10 men, working 3 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?
Choices:
3 hours a day
6 hours a day
7 hours a day
8 hours a day
Answer: A
Question: Find the smallest number of four digits exactly divisible by 4,5,7 and 8.
Choices:
1160
1140
1152
1145
Answer: A
Question: Two persons start at the same point, walk in opposite directions with 6 km/hr and 7 km/hr respectively.
What is the distance separated after 3 and half hrs?
Choices:
45.5 km
28.250 km
29.250 km
25.250 km
Answer: A
Question: 3889 + 12.952 – ? = 3854.002
Choices:
47.752
47.932
47.95
None
Answer: C
Question: Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards.
What is the probability that first two cards are queens and the third card drawn is an ace?
Choices:
2/5525
2/5525
2/5526
4/5525
Answer: A
Question: An woman swims downstream 45 km and upstream 25 km taking 5 hours each time; what is the speed of the current?
Choices:
2
3
4
2.1
Answer: A
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choices:
68 Kmph
88 Kmph
19 Kmph
66 Kmph
Answer: A
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 400 m long?
Choices:
190 Sec
178 Sec
160 Sec
276 Sec
Answer: C
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:
2889
4500
2728
2762
Answer: B
Question: One computer can upload 100 megabytes worth of data in 5 seconds. Two computers, including this one, working together, can upload 1300 megabytes worth of data in 40 seconds. How long would it take for the second computer, working on its own, to upload 100 megabytes of data?
Choices:
8
9
11
13
Answer: A
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Choices:
88 kmph
14 kmph
66 kmph
44 kmph
Answer: B
Question: The ratio of the present ages of two Friends is 2 : 3 and six years back, the ratio was 1 : 3. What will be the ratio of their ages after 4 years ?
Choices:
3:4
1:2
3:1
3:2
Answer: A
Question: The price of a furniture is Rs. 3,25,000. It was insured to 85% of its price. The furniture was damaged completely in an incident and the insurance company paid 90% of the insurance. What was the difference between the price of the furniture and the amount received ?
Choices:
Rs 67,375
Rs 76,375
Rs 76,735
None of these
Answer: B
Question: For which of the following functions f is f(c) = f(1-c) for all c?
Choices:
f (c) = 1 - c^2
f (c) = c^2 - (1 - c)^2
f (c) = c^2*(1 - c)^2
f (x) = x/(1 - x)
Answer: C
Question: The diagonal of a square is twice the side of equilateral triangle then the ratio of Area of the Triangle to the Area of Square is?
Choices:
3√8
3√7
3√5
3√1
Answer: A
Question: Find the greatest number which, while dividing 19, 83 and 67, gives a remainder of 3 in each case?
Choices:
16
18
19
20
Answer: A
Question: If two dice are thrown together, the probability of getting prime number on both dice is
Choices:
1/9
2/9
4/9
7/9
Answer: B
Question: If r and s are positive integers and r-s=6, which of the following has the greatest value M?
Choices:
2r
r +s
2r-s
2s-r
Answer: A
Question: There are 10 members from that a total of 6 men & 4 ladies a committee of 3 is to be formed. If Mrs. A is not willing to join the committee in which Mr. B is a member, whereas Mr.B is willing to join the committee only if Mrs C is included, how many such committee are possible?
Choices:
89
90
91
95
Answer: C
Question: A and B work at a hospital with 4 other workers. For an internal review, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that A and B will both be chosen?
Choices:
B)1/4
C)1/15
D)3/8
E)2/3
Answer: B
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+2)
III. (y+1)^(x-1) + 1
Choices:
II only
All options are applicable
III only
II,III only
Answer: B
Question: A certain sum earns simple interest of Rs. 800 in 2 years at a certain rate of interest. If the same sum earns compound interest of Rs. 845 in the same period of 2 years, What must be the rate of interest?
Choices:
10% p.a.
30% p.a.
19% p.a.
530% p.a.
Answer: A
Question: Steve traveled the first 2 hours of his journey at 60 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey?
Choices:
72 mph
53.33 mph
64 mph
66.67 mph
Answer: A
Question: There are 16 stations between Mumbai and Chennai. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Choices:
306
326
336
356
Answer: A
Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Choices:
27 sec
25 sec
24 sec
11 sec
Answer: B
Question: Without any stoppages a person travels a certain distance at an average speed of 40 km/hr and with stoppages he covers the same distance at an average of 20 km/hr. How many minutes per hour does he stop?
Choices:
20
30
45
None of above
Answer: B
Question: What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 6?
Choices:
82,650
64,749
49,700
56,720
Answer: A
Question: David can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows David has in his herd?
Choices:
120
155
336
456
Answer: A
Question: Rajeev' age after 15 years will be 5 times his age 5 years back . What is the present age of Rajeev ?
Choices:
10 years
12 years
14 years
16 years
Answer: A
Question: After decreasing 24% in the price of an article costs Rs.1216. Find the actual cost of an article?
Choices:
6789
1200
1600
1421
Answer: C
Question: A sphere is inscribed in a cube with an edge of 10. What is the shortest possible distance from one of the vertices of the cube to the surface of the sphere?
Choices:
5
10(√2-1)
5(√3-1)
5(√2-1)
Answer: C
Question: In how many ways can a committee consisting of three boys and four girls be formed from a group of six boys and seven girls?
Choices:
(⁷C₄)(⁶C₃)
⁶C₃ ⁷C₅
⁷C₅ ⁶C₄
⁶C₃ ⁷C₃
Answer: A
Question: A canteen requires 13 dozen bananas per day. How
many bananas will it require for 9 weeks?
Choices:
9828
1404
9882
None
Answer: C
Question: A couple decides to have 3 children. If they succeed in having 4 children and each child is equally likely to be a boy or a girl, What is the probability that they will have exactly 2 girls and 1 boy?
Choices:
2
3
5/8
4
Answer: C
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 10000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choices:
19%
24.8%
14%
16%
Answer: B
Question: 01-Jan-2007 was Monday. What day of the week lies on 01-Jan-2008?
Choices:
Sunday
Friday
Tuesday
Thursday
Answer: C
Question: The ratio between the number of sheep and the number of horses at the Stewar farm is 7 to 7. If each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??
Choices:
28
32
56
58
Answer: C
Question: 2,500 has how many positive divisors?
Choices:
12
15
20
25
Answer: B
Question: On dividing a number by 357, we get 40 as remainder.On dividing the same number by 17, what will be the remainder ?
Choices:
6
8
7
2
Answer: A
Question: Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?
Choices:
15 years
56 years
Data inadequate
17 years
Answer: C
Question: the square of two digit number(ab) divided by half of itself resultant added by 18 then divided by 2 then we get reverse of original number(ba). how many combination of ab exist
Choices:
9
7
6
5
Answer: A
Question: If p and q are integers, such that p < 1 < q, and s is a nonnegative integer, which of the following must be true?
Choices:
p^2 < q^2
sp < sq
sp ≠ sq
p/q < s
Answer: A
Question: An meeting has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?
Choices:
10
15
24
30
Answer: A
Question: A women walking at 7 Kmph reaches her office 8 minutes late. If she walks at 9 Kmph, she reaches there 8 minutes earlier. How far is the office from her house?
Choices:
3 2/5 Km
4 1/3 Km
8 Km
8 2/5 Km
Answer: D
Question: A rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Choices:
92
88
82
90
Answer: B
Question: The total age of A and B is 11 years more than the total age of B and C. C is how many year younger than
Choices:
12 years
56 years
66 years
11 years
Answer: D
Question: Latha has 10 candies, ramu has 20 candies. Totally how many candies they have in all?
Choices:
20
50
30
5
Answer: C
Question: If x and y are positive integers such that x < y and z=x/y, which of the following must be true?
I. z>(x − 1)/(y − 1)
II. z<(x − 1)/(y − 1)
III. z>(x + 1)/(y + 1)
Choices:
I only
II and III
II only
I and III
Answer: A
Question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
87,40 kmph
80,40 kmph
70,40 kmph
80,44 kmph
Answer: B
Question: The angle between the minute hand and the hour hand of a clock when the time is 7.30, is
Choices:
65°
55°
45°
95°
Answer: C
Question: What will $1000 amount to in three years if it is invested at 20% per year compound interest, with the interest being compounded annually?
Choices:
$1624
$1728
$1832
$1958
Answer: B
Question: 12. What is the dividend. divisor 17, the quotient is 9 and the remainder is 5.
Choices:
152
154
158
144
Answer: C
Question: Can you find the missing number in the sequence given below?
10 15 20 11 16 ? 12 17 22 13 18 23
Choices:
23
21
18
19
Answer: B
Question: Each shelf of a bookcase contained 12 books. If the librarian took out 19 books and rearranged the remaining books so that all shelves but one contained 8 books and the last shelf contained 9 books, how many shelves does the bookcase have?
Choices:
6
5
8
9
Answer: B
Question: If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 210 responses are needed, what is the minimum number of questionnaires that should be mailed?
Choices:
320
350
380
410
Answer: B
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 140 m, in what time will they cross other travelling in opposite direction?
Choices:
12 sec
16 sec
14 sec
18 sec
Answer: C
Question: A batsman makes a score of 74 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
Choices:
31
26
29
39
Answer: B
Question: Sakshi can do a piece of work in 15 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work :
Choices:
16
18
12
10
Answer: C
Question: Find the number of factors of 9321?
Choices:
6
8
16
32
Answer: B
Question: If P and Q are non-zero integers, and P/Q > 1, then which of the following must be true?
Choices:
2P >Q
P^2< Q^2
PQ > P
P^3 < Q^3
Answer: C
Question: If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 136 games will be played during the tournament. Find the number of participants.
Choices:
16
17
18
19
Answer: B
Question: If 25^5 × 5^(-1) = (125)^x , then what is the value of x?
Choices:
3
4
5
6
Answer: A
Question: If p#q denotes the least common multiple of p and q, then Q=((12#16)#(18#24)) = ?
Choices:
180
144
108
72
Answer: B
Question: A certain fruit stand sold apples for $0.70 each and bananas for $0.60 each. If a customer purchased both apples and bananas from the stand for a total of $5.60, what total number of apples and bananas did the customer purchase?
Choices:
9
10
11
12
Answer: A
Question: An article is bought for Rs.675 and sold for Rs.810, find the gain percent?
Choices:
33 8/3%
20%
33 2/3%
33 1/2%
Answer: B
Question: The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 45 years, was replaced by a new person. Find the age of the new person?
Choices:
15
18
21
25
Answer: A
Question: For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 210 books with me to gift her.
Can you calculate, on which day is our anniversary?
Choices:
20
23
33
25
Answer: A
Question: If A, B, C, and D are integers such that A - C + B is even and D + B - A is odd, which of the following expressions is always odd?
Choices:
B + D
C + D
A + B
A + C
Answer: B
Question: The number 311311311311311311311 is
Choices:
divisible by 11 but not by 3
divisible by both 3 and 11
neither divisible by 3 nor by 11
None of these
Answer: C
Question: The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 2-hour period?
Choices:
56
42
17
64
Answer: C
Question: If there are 10 peanuts in a box and Mary puts 8 more peanuts inside, how many peanuts are in the box?
Choices:
9
10
11
18
Answer: D
Question: A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1.What is the percent of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually?
Choices:
11%
15%
25%
90%
Answer: C
Question: bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -.
Choices:
7/15
7/11
13/5
87
Answer: A
Question: If the population of a certain country increases at the rate of one person every 45 seconds, by how many persons does the population increase in 1 hour?
Choices:
80
150
180
160
Answer: A
Question: The function F is defined for all positive integers n by the following rule: f(n) is the number of position integer each of which is less than n, and has no position factor in common with n other than 6. If p is any prime number then f(p)=
Choices:
p-2
(p+1)/2
(p-1)/2
2
Answer: C
Question: In wardrobe Marry has 3trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4shirts. One of them is grey and the other 3are white. He openshiswardrobe in the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?
Choices:
1/2
3/5
4/7
4/9
Answer: A
Question: What is the least value of x, So that 2x4472 is divisible by 9
Choices:
8
9
3
2
Answer: A
Question: How many positive integer solutions does the equation 4x+5y = 100 have?
Choices:
33
16
5
14
Answer: C
Question: A 7-meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 1 if the original wire was cut at an arbitrary point?
Choices:
6/7
5/8
7/9
9/10
Answer: A
Question: How many 3 digit positive integers R exist that when divided by 7 leave a remainder of 5?
Choices:
142
143
141
129
Answer: D
Question: Find the length of the wire required to go 13 times round a square field containing 24336 m2.
Choices:
3388
2667
8112
66711
Answer: C
Question: If (x – 1)^2 = 144, which of the following could be the value of 2x?
Choices:
–22
–11
12
13
Answer: A
Question: If I walk at 5 km/h, I miss the bus by 9 minutes. If I walk at 3 km/h, I reach 6 minutes before the arrival of the bus. How far I walk to reach the bus stand ?
Choices:
1.55 km
1.82 km
2.87 km
1.87 km
Answer: D
Question: 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
Choices:
24
36
25
13
Answer: A
Question: The distance from City A to City B is 120 miles. While driving from City A to City B, Bob drives at a constant speed of 40 miles per hour. Alice leaves City A 30 minutes after Bob. What is the minimum constant speed in miles per hour that Alice must exceed in order to arrive in City B before Bob?
Choices:
48
50
52
54
Answer: A
Question: Two trains are moving at 60 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Choices:
6 sec
7 sec
8 sec
9 sec
Answer: B
Question: Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 80 litres of tomato juice?
Choices:
2.5 liters.
8.5 liters.
2.6 liters.
10 liters.
Answer: D
Question: Three hoses work to fill a tub at at different rate. Hose T and B, working together, can fill the tub in 6/5 of an hour. Hoses T and C can fill it in 3/2 an hour. Houses B and C can fill it in 2 hours. How long does it take all 3 hoses, working together, to fill the tub?
Edited for accurate solution
Choices:
2/5
1/2
1
6/5
Answer: C
Question: At what rate percent on simple interest will a sum of money double itself in 30 years?
Choices:
3 1/3%
3 1/9%
3 1/5%
3 1/7%
Answer: A
Question: A person borrows 20000 for 6 years at 8% p.a. simple interest. He immediately lends it to another person at 9 % p.a. for 6 years. Find his gain in the transaction per year.
Choices:
200
210
190
180
Answer: A
Question: Three candidates contested an election and received 2136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate got
Choices:
54.3%
57%
58%
59%
Answer: A
Question: 12In dividing a no. by 585, a student employed the method of short division. He divided the no.successively by 5, 9 and 13 and got the remainders 4, 8, 12 respectively. What would havebeen the remainderif he had divided the no. by 585?
Choices:
345
560
584
650
Answer: C
Question: A customer went to a shop and paid a total of $25, out of which 90 cents was for sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
$8.70
$9.10
$10.00
$10.40
Answer: B
Question: What should be the least number to be added to the 51234 number to make it divisible by 9?
Choices:
4
3
5
2
Answer: B
Question: How many 4-letter word with or without meaning can be formed out of the letters of the word 'LOGARITHMS' if repetition of letters is not allowed
Choices:
5040
3260
1540
2104
Answer: A
Question: In a room with 10 people, 7 people have exactly 1 friend in the room and 6 people have exactly 2 friends in the room (Assuming that friendship is a mutual relationship, i.e. if Jane is Paul's friend, Paul is Jane's friend). If two individuals are selected from the room at random, what is the probability that those two individuals are NOT friends?
Choices:
3/7
4/7
5/7
49/45
Answer: D
Question: In Town X, 64 percent of the population are employed, and 40 percent of the population are employed males. What percent of the employed people in Town X are females?
Choices:
38%
32%
40%
52%
Answer: A
Question: A wheel of a car of radius 21 cms is rotating at 600 RPM. What is the speed of the car in km/hr?
Choices:
47.52 km/hr
7.92 km/hr
39.6 km/hr
3.96 km/hr
Answer: A
Question: A rectangular grass field is 75 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:
Rs.1350
Rs.1328
Rs.1397
Rs.1927
Answer: A
Question: A shopkeeper cheats to the extent of 10% while buying and selling, by using false weights. His total gain is.
Choices:
21%
22%
23%
24%
Answer: A
Question: How many 3/4 foot pieces of cable can be cut out of a piece that is 40 feet long?
Choices:
b.56
c.57
d.53
e. 59
Answer: C
Question: The number n yields a remainder p when divided by 12 and a remainder q when divided by 7. If p = q + 7, then which one of the following could be the value of n ?
Choices:
34
72
85
100
Answer: A
Question: A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.360. How much does C have?
Choices:
60
267
29
27
Answer: A
Question: The value of (34.31*0.473*1.567)/(0.0673*23.5*7.57) is close to
Choices:
1.15
2.05
2.12
2.35
Answer: C
Question: The LCM of two numbers is 2310 and HCF is 55. If one of the numbers is 210. Then what is the other number ?
Choices:
825
330
605
465
Answer: C
Question: A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
Choices:
22 1/2 days
24 days
25 days
30 days
Answer: A
Question: A shopkeeper sells 450 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
Choices:
27
29
45
21
Answer: C
Question: If $5,000 is invested in an account at a simple annual rate of r percent, the interest is $250. When $17,000 is invested at the same interest rate, what is the interest from the investment?
Choices:
$750
$800
$850
$900
Answer: C
Question: What is the smallest positive integer K such that the product of 720 x K is a perfect square?
Choices:
5
15
25
63
Answer: A
Question: Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 36 pages per hour. If Tom starts reading a novel at 4:00, and Jan begins reading an identical copy of the same book at 4:48, at what time will they be reading the same page?
Choices:
7:48
8:18
8:48
9:18
Answer: C
Question: Find the missing number:
6 9 12 ? 6
Choices:
7
8
9
5
Answer: C
Question: In a box of 9 pens, a total of 2 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Choices:
5/9
6/11
7/12
8/15
Answer: C
Question: Two trains 120 m and 150 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
14.8 sec
10.6 sec
10.8 sec
9.27 sec
Answer: D
Question: Peter invested a certain sum of money in a simple interest bond whose value grew to $300 at the end of 3 years and to $ 400 at the end of another 5 years. What was the rate of interest in which he invested his sum?
Choices:
12.5%
6.67%
6.25%
8.33%
Answer: D
Question: How many two digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
Choices:
30
278
279
274
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
150
77
62
13
Answer: A
Question: A can complete a certain job in 7 days. B is 40% more efficient than A. In how many days can B complete the same job?
Choices:
5
7
7.5
4.8
Answer: A
Question: If P represents the product of the first 18 positive integers, then P is NOT a multiple of
Choices:
84
72
65
38
Answer: D
Question: A driver of auto rickshaw makes a profit of 20% on every trip when he carries 3 passengers and the price of petrol is Rs. 30 a litre. Find the % profit for the same journey if he goes for 4 passengers per trip and the price of petrol reduces to Rs. 24 litres? (revenue per passenger is same)
Choices:
33.33%
100%
65.66%
Data inadequate
Answer: B
Question: The total of the ages of Mahesh, Suresh, Ramesh is 120 years. Ten years ago, the ratio of their ages was 2:3:4. What is the present age of Mahesh?
Choices:
50years
42years
35years
30years
Answer: A
Question: A train speeds past a pole in 22 seconds and a platform 140 m long in 33 seconds. Its length is?
Choices:
280
300
290
270
Answer: A
Question: At a certain fruit stand, the price of each apple is 40 cents and the price of each orange is 60 cents. Mary selects a total of 15 apples and oranges from the fruit stand, and the average (arithmetic mean) price of the 15 pieces of fruit is 48 cents. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is 45 cents?
Choices:
2
3
8
9
Answer: B
Question: The average age of a class of 32 students is 18 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Choices:
51Years
49 Years
52 Years
54 Years
Answer: A
Question: When x is divided by y, the quotient is u with remainder r. Which of the following is y in terms of r, x, and u? (Assume both y and u are nonzero.)
Choices:
(x+r)/u
x/u−r
(x−r)/u
xr –u
Answer: C
Question: Simple interest on a certain sum at a certain annual rate of interest is 1/9 of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is:
Choices:
8
3 1/3
2 2/3
None
Answer: B
Question: How many two digit prime numbers are there in which both digits are prime numbers? (For
example, 23 is one of these numbers but 31 is not, since 1 is not a prime number.)
Choices:
4
5
8
15
Answer: A
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is
Choices:
3.34 sq m
7.34 sq m
3.35 sq m
3.44 sq m
Answer: A
Question: Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 10x +5 = 0?
Choices:
42
24
18
95
Answer: C
Question: Find the least number must be subtracted from 531742 so that remaining no.is divisible by 3?
Choices:
5
1
2
3
Answer: B
Question: In racing over a given distance d at uniform speed, A can beat B by 10 meters, B can beat C by 6 meters, and A can beat C by 14 meters. What is the distance d in meters?
Choices:
30
50
60
70
Answer: A
Question: A,B,C can complete a piece of work in 24,6 and 12 days respectively. Working together, they will complete the same work in how many days?
Choices:
26/11
24/7
12/13
1/2
Answer: B
Question: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/10, then what is the value of abc/def ?
Choices:
27/8
3/4
3/20
1/4
Answer: C
Question: There is a group of persons each of whom can complete a piece of work in 16 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one more person joins them and this process continues till the work is completed. How many days are needed to complete the work?
Choices:
4 1⁄3 days
5 1⁄6 days
6 1⁄5 days
7 1⁄5 days
Answer: B
Question: The temperature of a certain cup of coffee 5 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F = 120*2^(-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 30 minutes after it was poured was how many degrees Fahrenheit?
Choices:
61.875
80
85
90
Answer: A
Question: What is the area of a triangle with the following vertices L(1, 3), M(5, 1), and N(2, 5) ?
Choices:
4
5
6
7
Answer: B
Question: A bicycle at Store P costs $200. The regular price of the same bicycle at Store Q is
15% more than it is at Store P. The bicycle is on sale at Store Q for 10% o of the
regular price. What is the sale price of the bicycle at Store Q?
Choices:
$201
$199
$207
$210
Answer: C
Question: A man buys a watch for Rs.1950 in cash and sells it for Rs. 2200 at a credit of 1 year.If the rate of interest is 10% per annum,the man :
Choices:
gains Rs. 50
loses Rs. 30
gains Rs. 30
None of these
Answer: A
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
Choices:
5/12
5/112
5/17
5/11
Answer: A
Question: Diana works 10 hours per day on Monday, Wednesday and Friday, and 15 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $1800 per week. How much does she earn in dollars per hour?
Choices:
22
30
24
25
Answer: B
Question: Two pipes A and B can separately fill a cistern in 80 minutes and 160 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 40 minutes. In how much time, the third pipe alone can empty the cistern?
Choices:
160 min
110 min
120 min
130 min
Answer: A
Question: Two numbers N and 10 have LCM = 36 and GCF = 5. Find N.
Choices:
56
76
18
24
Answer: C
Question: Meera purchased two three items from a shop. Total price for three items is Rs.2000/- She have given Rs. 3000/- What is the balance amount meera got?
Choices:
1000
1500
800
750
Answer: A
Question: If logn48 = a and logn108 = b. What is the value of logn1296 in terms of a and b?
Choices:
(a + 3b)/5
4(2a + b)/5
2(a + 3b)/5
None of these
Answer: C
Question: A courtyard is 28 meter long and 13 meter board is to be paved with bricks of dimensions 22 cm by 12 cm. The total number of bricks required is :
Choices:
14567
13787
13456
None of these
Answer: B
Question: There are two numbers. If 80% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
Choices:
B)5/16
C)6
D)6/7
E)7
Answer: A
Question: 175 × 11 - 50 × 3 ÷ (75 - 50) = ?
Choices:
1917
1918
1919
1921
Answer: C
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
750
278
267
187
Answer: A
Question: Deepak is 4 times as old as his son. four years hence the sum of their ages will be 43 years. How old is deepak's son now ?
Choices:
7 years
8 years
9 years
10 years
Answer: A
Question: How many numbers between 0 and 1570 have a prime tens digit and a prime units digit?
Choices:
272
202
112
252
Answer: D
Question: The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder D of Y divided by 5?
Choices:
D=2.
D=3.
4.
5.
Answer: A
Question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Choices:
20
30
40
50
Answer: A
Question: If 50 apprentices can finish a job in 4 hours, and 30 journeymen can finish the same job in 5,5 hours, how much of the job should be completed by 10 apprentices and 15 journeymen in one hour?
Choices:
29/180
26/143
1/5
31/220
Answer: D
Question: If the cost price of 30 pens is equal to the selling price of 25 pens, the gain percent is:
Choices:
20%
50%
80%
34%
Answer: A
Question: In how many ways can three members be selected from a group of five members?
Choices:
5C3
5C4
10C3
10C1
Answer: A
Question: A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 38 now, the son age 5 years back was :
Choices:
14
33
38
56
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
50
22
26
28
Answer: A
Question: If each of 4 subsidiaries of Corporation R has been granted a line of credit of $119,000 and each of the other 3 subsidiaries of Corporation R has been granted a line of credit of $112,000, what is the average (arithmetic mean) line of credit granted to a subsidiary of Corporation R?
Choices:
$448,000
$406,000
$313,600
$116,000
Answer: D
Question: The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg. What is the correct weight?
Choices:
58.85kg
59.75kg
60kg
None of these
Answer: A
Question: Two musicians, Maria and Perry, work at independent constant rates to tune a warehouse full of instruments. If both musicians start at the same time and work at their normal rates, they will complete the job in 120 minutes. However, if Perry were to work at twice Maria’s rate, they would take only 20 minutes. How long would it take Perry, working alone at his normal rate, to tune the warehouse full of instruments?
Choices:
1 hr 45 min
2 hr
2 hr 20 min
1 hr
Answer: D
Question: Darius and Daniel each had an equal amount of money to spend. After Darius spent 360.00 and Daniel spent 150.00. Daniel had 8 times as much money as what Darius had left. How much money did each boy have to begin with
Choices:
$390
$370
$360
$350
Answer: A
Question: The sides of a rectangular field are in the ratio 3 : 4. If the area of the field is 10092 sq. m, the cost of fencing the field @ 25 paise per metre is
Choices:
Rs. 67.50
Rs. 86.50
Rs. 101.50
None of these
Answer: C
Question: If b is a positive integer and b^2 is divisible by 12, then the largest positive integer that must divide b ^3 is
Choices:
2^6
3^3
6^3
12^2
Answer: C
Question: A clock store sold a certain clock to a collector for 45 percent more than the store had originally paid for the clock. When the collector tried to resell the clock to the store, the store bought it back at 25 percent of what the collector had paid. The shop then sold the clock again at a profit of 55 percent on its buy-back price. If the difference between the clock's original cost to the shop and the clock's buy-back price was $180, for how much did the shop sell the clock the second time?
Choices:
$134.56
$175.43
$158.65
$255.45
Answer: C
Question: Tickets to a certain concert sell for $20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 50 people bought tickets to the concert, what was the total revenue from ticket sales?
Choices:
$740
$860
$980
$1,140
Answer: B
Question: If Hema walks at 12 km/hr instead of 8 km/hr, she would have walked 20 km more. The actual distance travelled by Hema is ?
Choices:
40 kms
80 kms
50 kms
10 kms
Answer: A
Question: A certain bacteria colony doubles in size every day for 21 days, a which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit?
Choices:
7.5 
10 
20
19 
Answer: C
Question: If a person walks at 20 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is:
Choices:
20 km
60 km
70 km
80 km
Answer: A
Question: How much space, in cubic units, is left vacant when maximum number of 2x2x2 cubes are fitted in a rectangular box measuring 8x10x9 ?
Choices:
65
70
75
80
Answer: D
Question: Find the sum of prime numbers lying between 60 and 75.
Choices:
201
211
272
NOne
Answer: C
Question: A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Choices:
28
27
26
11
Answer: A
Question: On dividing 144 by a number, the quotient is 13 and the remainder is 1. Find the divisor.
Choices:
A)11
C)16
D)18
E)22
Answer: A
Question: Find large number from given question. The difference of 2 numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1450
1440
1546
1635
Answer: D
Question: P and Q invested in a business. The profit earned was divided in the ratio 2 : 3. If P invested Rs 40000, the amount invested by Q is
Choices:
50000
60000
70000
None of these
Answer: B
Question: What is the largest 4 digit number exactly divisible by 50?
Choices:
4678
9950
9504
9936
Answer: B
Question: 2500÷10÷5=?
Choices:
37
50
33
32
Answer: B
Question: A football field is 7200 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?
Choices:
600
750
2400
3200
Answer: A
Question: In a village of 100 households, 65 have at least one DVD player, 75 have at least one cell phone, and 35 have at least one MP3 player. If x and y are respectively the greatest and lowest possible number of households that have all three of these devices, x – y is:
Choices:
60
45
35
25
Answer: A
Question: P is three times as fast as Q and working together, they can complete a work in 8 days. In how many days can Q alone complete the work?
Choices:
32 days
13 days
15 days
19 days
Answer: A
Question: Suppose that f(x) is a function such that for every real number x,i)f(x)+f(1-x) = 13 and (ii) f(1+x) = 3+f(x). Then f(x)+f(-x)
must equal
Choices:
9
10
11
12
Answer: B
Question: Given that a “24-inch pizza” means circular pizza with a diameter of 12 inches, changing from an 12-inch pizza to a 24-inch pizza gives you approximately what percent increase in the total amount of pizza?
Choices:
300
670
800
125
Answer: A
Question: Which one of the following option is the closest in the meaning to the word given below..
MITIGATE
Choices:
Diminish
Dedicate
Denote
Deno2S
Answer: A
Question: Sonika deposited Rs.6000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Choices:
6560
7560
9560
8560
Answer: C
Question: The average of first 10 natural numbers is?
Choices:
5.5
9.0
9.6
5.9
Answer: A
Question: A number has exactly 32 factors out of which 4 are not composite. Product of these 4 factors (which are not composite) is 30. How many such numbers E are possible?
Choices:
4
6
3
Not possible
Answer: B
Question: A car travels first 160 km at 75 km/hr and the next 160 km at 90 km/hr. What is the average speed for the first 320 km of the tour?
Choices:
71.12
71.1
71.17
81.81
Answer: D
Question: Of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 20 grades are D's. What is the number of students in the course?
Choices:
110
160
200
400
Answer: D
Question: Q' = 3Q - 3, what is the value of (4')' ?
Choices:
57
66
72
81
Answer: C
Question: The forth proportional to 6,8,15 is?
Choices:
12
18
20
24
Answer: C
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
352
350
359
358
Answer: B
Question: A train 450 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:
39 sec
27 sec
15 sec
18 sec
Answer: B
Question: The greatest number of four digits which is divisible by 21, 35, 49 and 63
Choices:
6615
6610
6611
5671
Answer: A
Question: If by selling an article for Rs.60, a person loses 1/7 of money, what would he have gained or lost % by selling it for Rs.77?
Choices:
10%
12%
15%
17%
Answer: A
Question: In a class of 140 students, 60% of them passed. By what percent is the number of students who passed more than the number of failed students?
Choices:
20%
80%
50%
20%
Answer: C
Question: S:E = 1:3
E:M = 3:5
------------
S:E:M = 3:9:15
3/27 * 162 = 18
Choices:
18
16
17
19
Answer: A
Question: There is enough provisions for 9600 women in an army camp for 400 days. If there were 4800 men less, how long will the provision last?
Choices:
800
801
802
803
Answer: A
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
Choices:
22 years
23 years
24 years
25 years
Answer: A
Question: Find the one which does not belong to that group ?
Choices:
71
62
12
57
Answer: D
Question: The speed of a boat in still water is 18 kmph. What is the speed of the stream if the boat can cover 48 km downstream or 32 km upstream in the same time?
Choices:
5 kmph
6 kmph
7 kmph
8 kmph
Answer: B
Question: What is the difference between the place value and the face value of 7 in the numeral 297832?
Choices:
5993
994
5994
995
Answer: A
Question: When the oil from a circular cylinder leaked, the formula for the speed of the leak is V = kh^2, where h was the height of the remaining oil and k was constant. If the height of the cylinder is 2, the speed of the leak is Vâ€™, When the height of the oil remaining is 10, what was the speed of the leak, in terms of Vâ€™?
Choices:
25Vâ€™
Vâ€™/2
Vâ€™/4
Vâ€™
Answer: A
Question: Subtracting 10% from X is the same as multiplying X by what number?
Choices:
90%
10%
50%
60%
Answer: A
Question: A 10-by-9 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed?
Choices:
The volume of the cylinder with height 9 is 90/pi cubic inches greater than the volume of the cylinder with height 10.
The volume of the cylinder with height 10 is 90pi cubic inches greater than the volume of the cylinder with height 6.
The volume of the cylinder with height 9 is 90pi cubic inches greater than the volume of the cylinder with height 10.
The volume of the cylinder with height 9 is 240/pi cubic inches greater than the volume of the cylinder with height 10.
Answer: A
Question: Eric, Nick and Archi make contributions to the Society Of Nature Protection in the ratio of 5:3:2.5. If altogether they contribute 5250 Nis, how much more money does Nick contribute than Archi?
Choices:
212 Nis
234 Nis
250 Nis
288 Nis
Answer: C
Question: The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
Choices:
180
267
287
207
Answer: A
Question: The average weight of a group of boys is 30 kg. After a boy of weight 45 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
14
16
17
18
Answer: A
Question: In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
Choices:
24
42
46
none
Answer: A
Question: The ratio between the present ages of P and Q is 5:7 respectively.If the difference between Q’s present age and P’s age after 6 years is 2,what is the total of P’s and Q’s present ages ?
Choices:
48 years
56 years
Cannot be determined
None of these
Answer: A
Question: 58, 52, 46, 40, 34, ... ?
Choices:
22
28
27
32
Answer: B
Question: Two years ago, John’s age was half of the age he will be in 8 years. How old is he now?
Choices:
15years
16years
12years
18years
Answer: C
Question: If all the fractions 3/10, 1/16, 4/11, 2/9, 1/7, 5/14 and 5/24 arranged in descending order of their values, then which one will be the third?
Choices:
2/9
3/10
4/11
None of these
Answer: B
Question: What is the remainder when 1250*1090*1045*1055 is divided by 18?
Choices:
19
16
14
10
Answer: B
Question: The captain of a cricket team of 11 players is 25 years old and the wicket-keeper is 3 years older. If the age of these two players are replaced by that of another two players, the average of the cricket team drops by 2 years. Find the average age of these two players.
Choices:
15.5 years
17 years
16.5 years
None of the above
Answer: A
Question: In the exam the average was found to be p mark. After deducting typographical error the average marks of 120 student reduced from 90 to 70 . Due to this the average came down by 12 marks. What was the number of students who took the exam?
Choices:
120
200
130
160
Answer: B
Question: For every integer n ≥ 3, the function g(n) is defined as the product of all the odd integers from 1 to n, inclusive. What is the value of g(106) – g(103)?
Choices:
99
98
102
104
Answer: D
Question: What is the area of square field whose side of length 14 m?
Choices:
196
266
288
261
Answer: A
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
Choices:
42 8/7%
482 6/7%
42 6/7%
42 1/7%
Answer: C
Question: A man swims downstream 60 km and upstream 100 km taking 10 hours each time, what is the speed of the man in still water?
Choices:
42
6
8
12
Answer: C
Question: A positive integer is called "square-Free" if it has no factor that is the square of an integer greater than 1. If n is an even square-free integer, which of the following must also be square free?
Choices:
n/2
n+2
n^2
none of the above
Answer: A
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:
278
120
998
232
Answer: B
Question: Cost of 16 mirror and 8 comb is Rs.368 and the cost of 4 mirror and 4 comb is Rs.96. Find the cost of each mirror?
Choices:
12
20
21
22
Answer: D
Question: Find the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively.
Choices:
127
147
137
None of them
Answer: A
Question: There are 5 people and 3 chairs. In how many different ways people can occupy the chairs?
Choices:
60
80
90
100
Answer: A
Question: A certain ski shop sells pairs of gloves in 13 different colors. If one pair of each color is dropped in a bag and a store clerk reaches in to draw two individual gloves simultaneously and at random, what is the probability that she draws two gloves of the same color?
Choices:
1/143
1/25
1/23
1/12
Answer: B
Question: Of the eight participants in a certain competition, half are male, and half of the males are younger than 18 years of age. If half of the female competitors are also younger than 18 years of age, into how many distinct groups of 4 competitors could the participants be divided if each group must contain two males under 18 years of age and 2 females over 18 years of age?
Choices:
1
6
9
20
Answer: A
Question: Mike weighs twice as much as Mary. Mike's weight is 50% of Michelle's weight. Alan weighs 40% of Charlie's weight. Charlie weighs 180% of Mary's weight. Which of these 5 people weighs the highest?
Choices:
Mike
Michelle
Alan
Charlie
Answer: B
Question: A certain stock exchange designates each stock with a two-letter or three-letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes without using the letters A or Z?
Choices:
14,400
15,000
15,600
16,200
Answer: A
Question: If difference between compound interest and simple interest on a sum at 10% P.a. for 2 years is Rs.51 then sum is
Choices:
Rs.5100
Rs.5800
Rs.6000
Rs.6200
Answer: A
Question: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Choices:
65
63
70
75
Answer: B
Question: At Veridux Corporation, there are 200 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 135 male associates, how many female managers are there?
Choices:
20
25
30
65
Answer: D
Question: The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increased by 3months. Find the age of the teacher?
Choices:
25
30
35
39
Answer: A
Question: A beats B by 50m in a race of 500m ,then B beats by C by 25m in a race of 500m.Find the
distance by which A beats C in a race of 400?
Choices:
56m
57m
58m
59m
Answer: C