antoine-444/aqua_rat_dataset huggingface dataset:
Question: A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 260 per month. What is his monthly salary?
Choices:
2999
2878
2990
6500
Answer: D
Question: letters in the word ABUSER are permuted in all possible ways and arranged in alphabetical order then find the word at position 49 in the permuted alphabetical order?
Choices:
DGUJKL
ARBESU
ILUGUO
HDIWWD
Answer: B
Question: If 1/12 of the passengers on a ship are from North America, 1/4 are Europeans, 2/9 are from Africa, 1/6 are from Asia and the remaining 50 people are citizens of other continents, then how many passengers are on board the ship?
Choices:
140
150
160
180
Answer: D
Question: If it takes 6 identical printing presses exactly 4 hours E to print 5,000 newspapers, how long would it take 3 of these presses to print 3,000 newspapers?
Choices:
4 hours, 20 minutes
4 hours, 48 minutes
5 hours, 48 minutes
6 hours, 50 minutes
Answer: B
Question: A fast food hotel sells chicken in orders of 6, 9, and 20.
What is the largest number of pieces of chicken you cannot order from this hotel ?
Choices:
B)33
C)43
D)53
E)63
Answer: B
Question: A person walks at a speed of 4 km/hr and runs at a speed of 8 km/hr. How many hours will the person require to cover a distance of 8 km, if the person completes half of the distance by walking and the other half by running?
Choices:
1.5
2.5
3.5
4.5
Answer: A
Question: How many positive integers less than 200 are there such that they are multiples of 13 or multiples of 12?
Choices:
29
30
31
32
Answer: B
Question: Find the sum of all odd numbers upto 100.
Choices:
2900
2700
2500
2800
Answer: C
Question: A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 9days, A finished the remaining work. In how many days A alone can finish the job?
Choices:
12
60
30
20
Answer: A
Question: The sum of the squares of three consecutive natural number is 2030. What is the middle number?
Choices:
26
27
28
29
Answer: A
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 47, then how old is B?
Choices:
19 years
18 years
10 years
12 years
Answer: B
Question: In a mixture of 60 liters, the ratio of milk and water is 4:1. What amount of water must be added to make the ratio of milk and water as 1:4?
Choices:
60 liters
68 liters
65 liters
62 liters
Answer: A
Question: At a local appliance manufacturing facility, the workers received a 10% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
Choices:
80%
20%
17%
9%
Answer: D
Question: The profit earned by selling an article for 812 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit?
Choices:
1060
1,200
945
None of these
Answer: C
Question: What will be the difference between simple and compound interest at 10% per annum on a sum of Rs. 1000 after 4 years?
Choices:
64.12
62.1
64.1
64.11
Answer: C
Question: In a certain game, you perform three tasks. You flip a coin, and success would be heads. You roll a single die, and success would be a three. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning?
Choices:
15/32
14/36
17/56
23/48
Answer: D
Question: For a recipe for triple berry pie calls for cups of strawberries, raspberries, and blueberries in a ratio of 1:2:3. How many total cups of fruit will you need to make the pie?
Choices:
3
4
5
6
Answer: D
Question: Mahesh can do a piece of work in 30days. He works at it for 20days and then Rajesh finished it in 30days. How long will Y take to complete the work?
Choices:
90
37
41
30
Answer: A
Question: After M students took a test, the average score was 72%. If the test has 50 questions, what is the least number of questions that the next student has to get right to bring the average score up to 75%?
Choices:
72 - 1.5M
1.5M + 37.5
0.75 + 1.5M
1.5M + 0.72
Answer: B
Question: By selling 80 pens, a trader gains the cost of 20 pens. Find his gain percentage?
Choices:
25%
35%
40%
50%
Answer: A
Question: A train travels from station A to station B. If the train leaves station A and makes 75 km/hr, it arrives at station B 48 minutes ahead of scheduled. If it made 50 km/hr, then by the scheduled time of arrival it would still have 40 km more to go to station B. Find:
A) The distance between the two stations;
B) The time it takes the train to travel from A to B according to the schedule;
C) The speed of the train when it's on schedule.
Choices:
27
26
28
60
Answer: D
Question: In an examination, a pupil’s average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his history paper, his average per paper would have been 65. How many papers were there in the examination?
Choices:
9
10
11
12
Answer: C
Question: Maddie has 18 apples, if she give 12 to mike, how many does she have left?
Choices:
6
3
4
5
Answer: A
Question: At a garage sale, all of the items were sold at different prices. If the price of a radio sold at the garage sale was both the 18th highest price and the 25th lowest price among the prices of the items sold, how many items were sold at the garage sale?
Choices:
42
43
44
45
Answer: A
Question: Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?
Choices:
60,61
60,18
60,84
60,15
Answer: C
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 130?
Choices:
77
55
18
12
Answer: B
Question: How many of the following numbers are divisible by 14 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
Choices:
4
5
6
1
Answer: D
Question: What is the least number of square tiles required to pave the floor of a room 50 m 00 cm long and 11m 25 cm broad?
Choices:
804
814
9000
None
Answer: C
Question: Karen places a bet with Tom that she will beat Tom in a car race by 4 miles even if Karen starts 4 minutes late. Assuming that Karen drives at an average speed of 60 mph and Tom drives at an average speed of 45 mph, how many Q miles will Tom drive before Karen wins the bet?
Choices:
18
21
24
27
Answer: C
Question: In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?
Choices:
67 kg
69 kg
Data inadequate
None of these
Answer: A
Question: There are 27 different three-digit integers that can be formed using only the digits 1, 3, and 4. If all 27 of the integers were listed, what would their sum be?
Choices:
7692
7792
7892
7992
Answer: D
Question: Mary's income is 500 dollars per week. How much does she makes every year?
Choices:
12000 dollars
4000 dollars
5000 dollars
26000 dollars
Answer: D
Question: Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?
Choices:
28
25
19
11
Answer: B
Question: In the floor of a particular kitchen owned by an abstract artist, each row of tiles to the right of the first row contains two fewer tiles than the row directly to its left. If there are nine rows in all and a total of 360 tiles in the floor, how many tiles does the leftmost row contain?
Choices:
48
60
64
68
Answer: A
Question: When Q is divided by W, the quotient is R and the remainder is X. Which of the following expressions is equal to X?
Choices:
RW - Q
Q/R
QW - R
Q - RW
Answer: D
Question: A and B invests Rs.3000 and Rs.4500 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
9:8
7:9
9:5
1:1
Answer: D
Question: Mr.Jones gave 40% of the money he had to his wife. he also gave 20% of the remaining amount to his 3 sons. half of the amount now left was spent on miscellaneous items and the remaining amount of Rs.12000 was deposited in the bank. how much money did Mr.jones have initially?
Choices:
100000
15000
13000
65000
Answer: A
Question: On a schoolâ€™s Annual day sweets were to be equally distributed amongst 112 children. But on that particular day, 32 children were absent. Thus the remaining children got 6 extra sweets. How many sweets was each child originally supposed to get ?
Choices:
27
11
15
19
Answer: C
Question: A group of boy scouts and girls scouts is going on a rafting trip. 60% of the scouts arrived with signed permission slips. If 45% of the scouts were boy scouts and 50% of the boy scouts arrived with signed permission slips, then what percentage of the girl scouts arrived with signed permission slips? Round to the nearest percent.
Choices:
68
72
76
80
Answer: A
Question: 5,9,18,31,52,__
Choices:
80
86
82
83
Answer: B
Question: An investment compounds annually at an interest rate of 10% What is the smallest investment period by which time the investment will more than triple in value?
Choices:
n =log 3/log 1.1
(11/10)^n
1.1^n
1.2^n
Answer: A
Question: The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Choices:
56
44
55
81
Answer: A
Question: A certain no. when divided by 140 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Choices:
4
7
8
11
Answer: D
Question: In how many different ways can the letters of the word VALUE be arranged in such a way that the vowels occupy only the odd positions?
Choices:
12
18
24
32
Answer: A
Question: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
Choices:
6 2/3%
2 2/3%
6 5/3%
5 2/3%
Answer: A
Question: A cylinder of height h is 2/3 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h?
Choices:
50%
60%
80%
90%
Answer: D
Question: Fence X is twice as long as fence Y, and fence Y is 2 feet shorter than fence Z. If 3 feet were added to each fence, which of the following must be true?
I) Y is 3 feet shorter than X.
II) Y is 2 feet shorter than Z.
III) X is shorter than Z.
Choices:
II only
III only
I and II
II and III
Answer: C
Question: Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Choices:
375
300
540
560
Answer: A
Question: Food grains are to be sent to city from go down. Owner wants to reach the food grains at 11 O' Clock in the city. If a truck travels at a speed of 30km/hr then he will reach the city one hour earlier. If the truck travels at a speed of 20km/h then he will reach the city one hour late. Find the distance between the go down to city. Also with which speed the truck should travel in order to reach at exactly 11 'O clock.
Choices:
24 kmph
26 kmph
27 kmph
28 kmph
Answer: A
Question: The contents of a certain box consist of 14 apples and 20 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?
Choices:
6
14
17
20
Answer: B
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Choices:
3467
3891
4601
5184
Answer: D
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
Choices:
20/63
20/19
20/18
20/28
Answer: A
Question: Dhoni spent 40 percent of his earning last month on rent and 20 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did Dhoni have left over?
Choices:
28%
32%
33%
34%
Answer: A
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.65 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
42
48
99
11
Answer: A
Question: x is a positive integer less than 500. When x is divided by 5, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?
Choices:
22
23
24
25
Answer: C
Question: If 0 < a < b and k = (3a + 5b)/b , which of the following must be true?
Choices:
k < 7
k > 3
k > 9
k > 11
Answer: A
Question: If an investor puts $600 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
Choices:
$661.50
$665.50
$667.50
$669.50
Answer: A
Question: Lagaan is levied on the 60 percent of the cultivated land. The revenue department collected total Rs. 3,44,000 through the lagaan from the village of Mutter. Mutter, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Mutter over the total taxable land of the village is:
Choices:
0.23255
0.25632
0.35466
0.63435
Answer: A
Question: By selling an article at $600, a profit of 25% is made. Find its cost price?
Choices:
$400
$480
$570
$330
Answer: B
Question: The average of the marks of 12 students in a class is 50. If the marks of each student are doubled, find the new average?
Choices:
120
100
150
170
Answer: B
Question: Two brothers were expected to return here on the same day. Rajat returned 3 days earlier but Rohit returned 4 days later. If Rajat returned on Thursday, what was the expected day when both the brothers were to return home and when did Rohit Return?
Choices:
Thursday, Monday
Sunday, Thursday
Monday, Friday
none
Answer: B
Question: For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% greater than w, is what percent greater or less than ?
Choices:
20 % less
25 % greater
25 % less
50 % greater
Answer: B
Question: If a + b - c = 2d, and if a - b + c =-4e, then a =
Choices:
d – e
(d + e)/2
d-2e
e-d
Answer: C
Question: There are 12 pieces of radioactive metal A that look identical. 11 of the pieces give the same radiation count when measured, the 12th piece is a counterfeit and gives a different radiation level, which may be more or less than the other 11. We are given a radiation scale, which can take 2 sets of samples and compare their added up radiation levels to tell us if the sums are the same or if different, which set has the higher level of radiation. What is the minimum number of comparisons we need on this scale to identify the counterfeit sample and to also determine whether it has more or less radiation than the other samples ?
Choices:
3
4
5
6
Answer: A
Question: 10/21 of 3/5 of a number is greater than 4/7 of 1/5 of the same number by 36. What is half of that number?
Choices:
105
210
240
315
Answer: A
Question: How many seconds will a train 110 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Choices:
23 sec
24 sec
25 sec
26 sec
Answer: D
Question: United Telephone charges a base rate of $9.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same?
Choices:
10 minutes
20 minutes
40 minutes
60 minutes
Answer: D
Question: A satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/8 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?
Choices:
1/4
1/6
1/8
1/24
Answer: A
Question: If 10 typists can type 20 letters in 20 minutes, then how many letters will 40 typists working at the same rate complete in 1 hour?
Choices:
210
200
240
260
Answer: C
Question: There are two cars. One is 90 miles north of the other. Simultaneously, the car to the north is driven westward at 25 miles per hour and the other car is driven eastward at 35 miles per hour. How many miles apart are the cars after 2 hours?
Choices:
130
140
150
160
Answer: C
Question: Recipe requires 15mins to cook. you have 7 mins hourglass and a 11 mins hourglass with you. how will you measure 15 mins using them?
Choices:
15 mins
13 mins
17 mins
20 mins
Answer: A
Question: At what rate percent per annum will a sum of money double in 2 years.
Choices:
50%
11.5%
20%
21.5%
Answer: A
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Choices:
20
27
28
30
Answer: A
Question: Positive integer y is 50 percent of 25 percent of positive integer x, and y percent of x equals 100. What is the value of y?
Choices:
125
200
1,000
2,000
Answer: A
Question: Three balls are to be tossed in a row. How many different sequences are possible if red and blue always follow one-another in each toss ?
Choices:
4
6
8
10
Answer: A
Question: A train 210 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
50 sec
44 sec
49 sec
28 sec
Answer: D
Question: If 70% of an equal to 40% of b, then ratio between a and b is?
Choices:
4: 7
4: 2
4: 1
4: 5
Answer: A
Question: If 2/a + 3/a + 5/a is an integer, which of the following must also be an integer?
Choices:
3/a
6/a
10/a
15/a
Answer: C
Question: The value of x + x(xx) when x = 2 is:
Choices:
16
18
64
10
Answer: D
Question: Two partners investede Rs. 1250 and Rs. 850 respectively in a business. They distributed 60% of the profit equally and decide to distribute the remaining 40% as the ratio of their capitals. If one partner received Rs. 30 more than the other, find the total profit?
Choices:
393.75
393.72
393.71
393.77
Answer: A
Question: What is the largest integer n such that 2^n is a factor of 20^8 ?
Choices:
2
4
8
16
Answer: D
Question: The difference between a number and its two-fifth is 510. What is 30% of that number?
Choices:
200
255
400
280
Answer: B
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:
38000
28880
27752
11222
Answer: A
Question: How many arrangements of the letters of the word GRADES can be made, without changing the place of the vowels in the word?
Choices:
25
45
66
24
Answer: D
Question: The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places?
Choices:
Rs.20043.94
Rs.20043.95
Rs.20043.98
Rs.20043.91
Answer: A
Question: How many zeros does 500! end with?
Choices:
240
124
125
180
Answer: B
Question: If the sides of a triangle are 36 cm, 34 cm and 20 cm, what is its area?
Choices:
360 cm2
340 cm2
310 cm2
300 cm2
Answer: B
Question: Sachin can cover a distance in 1hr 24 min by covering 2/3 of the distance at 4 kmph and the rest at 5 kmph. The total distance is?
Choices:
7 km
5 km
6 km
4 km
Answer: C
Question: The length of the bridge, which a train 170 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
267
205
288
261
Answer: B
Question: The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 3 Social Studies teachers. If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be English teachers?
Choices:
1/3
2/9
1/12
1/24
Answer: C
Question: An object travels at fifteen feet per minute. How many feet does it travel in 24 minutes and 40 seconds?
Choices:
156
370
420
519
Answer: B
Question: What is the are of an equilateral triangle of side 16 cm?
Choices:
64√3
64√9
64√2
64√1
Answer: A
Question: The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?
Choices:
4
7
1
2
Answer: A
Question: Given that there are 11 cricket players per team, how many ways can you select 10 cricket players from 2 teams if no more than 7 players can be selected from each team?
Choices:
108900
145256
356586
213444
Answer: A
Question: A, B and C can do a work in 8 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Choices:
3
2 2/0
2 2/2
2 2/1
Answer: A
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
22 1/7
22 1/1
22 1/2
32 1/2
Answer: C
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 2 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10 a.m
12 a.m
02 a.m
05 a.m
Answer: D
Question: If the average (arithmetic mean) of five consecutive negative integers is 4k – 1, what is the difference between the greatest and least of the five integers?
Choices:
4k^2 -4k
4-4k
4
4k+4
Answer: C
Question: How long does a train 120 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
Choices:
72
52
82
62
Answer: B
Question: There are a total of 10 students in Mr. Schmidt's gym class. Over the course of a badminton unit, each of the 10 students will compete exactly once against every other student in the class. How many total games of badminton will be played?
Choices:
47
45
41
46
Answer: B
Question: What is x if x + 5y = 24 and y = 2?
Choices:
3
5
7
14
Answer: D
Question: In a race of 400 m, A can beat B by 40 m and C by 20 m. In how many meter race, C will beat B by 50m ?
Choices:
1200m
800m
950m
600m
Answer: C
Question: The population of a town increases 22% and 25% respectively in two consecutive years. After the growth the present population of the town is 1220. Then what is the population of the town 2 years ago?
Choices:
B)700
C)800
D)900
E)1000
Answer: B
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1435
2345
3543
1635
Answer: D
Question: During a trip on an expressway, Kon 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 60 miles per hour for the entire trip?
Choices:
50%
x/12%
60/x%
500/x%
Answer: D
Question: If 30!/10! is written as the product of consecutive integers, the largest of which is 30, what is the smallest of the integers?
Choices:
3
7
11
20
Answer: C
Question: How many 3-digit integers between 100 and 200 have a digit that is the average (arithmetic mean) of the other 2 digits?
Choices:
7
9
11
19
Answer: C
Question: A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is
Choices:
297
127
150
181
Answer: C
Question: Ramu bought an old car for Rs. 40000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choices:
16%
18%
82%
22.45%
Answer: D
Question: If x, y, and z are positive integers and x = 4y = 7z, then the least possible value of x - y - z is
Choices:
17
49
16
23
Answer: A
Question: If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in
?
Choices:
3 days
9 days
11 days
15 days
Answer: A
Question: Insert the missing number. 2, 7, 10, 22, 18, 37, 26
Choices:
32
52
62
50
Answer: B
Question: What is the total number of positive integers that are less than 800 and that have no positive factor in common with 800 other than 1?
Choices:
320
480
500
600
Answer: A
Question: Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is
Choices:
72
105
108
None
Answer: C
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 900 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
120 sq.units
187 sq.units
607 sq.units
815 sq.units
Answer: A
Question: Twenty-four men can complete a work in sixteen days. Thirty-two women can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. How many more men are to be added to complete the remaining work in 2 days?
Choices:
24
36
16
None of the above
Answer: A
Question: In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats is $560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is $1,290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?
Choices:
$150
$214
$332
$199
Answer: A
Question: If Ryan has 20% more notebook than justin.and Ryan have 18 notebook then Justin have how many notebooks?
Choices:
14
12
15
10
Answer: C
Question: In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 6 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel?
Choices:
3/7
27/125
776/965
9/125
Answer: C
Question: A can do a piece of work in 10 days, B in 15 days. They work for 5 days. The rest of work finished by C in 2 days. If they get Rs 1500 for the whole work, the daily wages of B and C are?
Choices:
250
225
300
335
Answer: B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
Choices:
2/20
2/21
2/28
2/23
Answer: B
Question: A rectangular field is to be fenced on three sides leaving a side of 80 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required?
Choices:
97ft
22ft
11ft
66ft
Answer: A
Question: How many 8 ′ s are there in the given sequence which are not immediately preceded by 09 and not immediately followed by 90?
9 0 8 0 9 0 9 8 9 0 8 9 0 8 0 9 8 9 0 9 8 0 9 8 9 0 8 9 0
Choices:
3
2
More than 3
None of these
Answer: A
Question: The factorial expression 11!/2! is not divisible by which of the following integers?
Choices:
5
6
7
None of these
Answer: D
Question: A product when sold with 10% rebate on the listed price gave a profit of Rs.70. What was its cost price?
Choices:
Rs. 250
Rs. 300
Cannot be determined
None
Answer: C
Question: The cash difference between the selling prices of an book at a profit of 12% and 20% is $3. The ratio of the two selling prices is:
Choices:
52:33
52:53
45:53
14:15
Answer: D
Question: Find the result of equation of the ellipse whose foci are at (0 , -5) and (0 , 5) and the length of its major axis is 14.
Choices:
4
3
2
1
Answer: D
Question: The average of first 10 natural numbers is?
Choices:
5.5
5.6
5.4
5.2
Answer: A
Question: If 18 bindres bind 900 books in 10 days , How many binders will be required to bind 660 books in 12 days?
Choices:
77
12
11
91
Answer: C
Question: In the line xy plane line m has the equation y = 3x - 3, then the line m passes through which of the following points?
Choices:
(3, 4)
(4, 2)
(6, 9)
(6, 15)
Answer: D
Question: How many Books each of Volume 100 meter cube can be packed into a crate of volume 3000 meter cube?
Choices:
cannot be determined
150
300
350
Answer: A
Question: The average of 6 observations is 16. A new observation is included and the new average is decreased by 1. The seventh observation is?
Choices:
3
9
6
7
Answer: B
Question: A zoo has an average of 510 visitors on Sundays and 480 on Saturday, 210 on other days and Wednesday is holiday. The average number of visitors in a month of 30 days starting with Saturday is
Choices:
268
277
295
310
Answer: B
Question: If the GCD of two numbers (not equal, both integers, greater than 1) is 2, then which of the following can be true?
A. They are prime.
B. They are consecutive.
C. They do not have a common prime factor.
D. They have a common factor other than 2.
Choices:
Only B
Only C
Only D
A, B, C, and D
Answer: C
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ?
Choices:
Rs. 830
Rs. 840
Rs. 850
Rs. 890
Answer: A
Question: In Mrs. Susna's class, 1/4 of her students are getting an A, 1/2 are getting a B, 1/8 are getting a C, 1/12 are getting a D, and 1/24 are getting a F. What fraction of Mrs. Susna's class getting a passing grade of C or higher.
Choices:
3/4
7/8
1/8
1/2
Answer: B
Question: A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
Choices:
49:20:64
64:20:49
64:49:20
20:49:64
Answer: D
Question: Find the probability that a number selected from numbers 1, 2, 3,...,45 is a prime number, when each of the given numbers is equally likely to be selected?
Choices:
14/45
8/45
3/45
7/45
Answer: A
Question: If log 27= 1.431, then the value of log 9 is:
Choices:
0.945
0.954
0.958
0.959
Answer: B
Question: If (2^16)(25^S) = 5(10^m) what is the value of m ?
Choices:
8
15
16
23
Answer: C
Question: What least number must be subtracted from 42398 so that remaining no.is divisible by 15
Choices:
5
6
8
9
Answer: C
Question: A tourist purchased a total of $2,500 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?
Choices:
$1,310
$1,290
$2,270
$2,150
Answer: C
Question: The seating chart of an airplane shows 30 rows of seats. Each row has 3 seats on each side of the center aisle, and one of the seats on each side is a window saet. The view from the window seats in 6 of the rows is obscured by the wings of the airplane. If the first person to be assigned a seat is assigned a window seat and thw window seat is assigned randomly, what is the probability that the person will get a seat with an unobscured view?
Choices:
1/3
2/3
5/6
4/5
Answer: D
Question: A stock trader originally bought 300 shares of stock from a company at a total cost of m dollars. If each share was sold at 80% above the original cost per share of stock, then interns of m for how many dollars was each share sold?
Choices:
b) 9m/1500
c) m/200
d) m/300 + 50
e) 350/m
Answer: A
Question: A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
77
26
28
20
Answer: D
Question: Martha takes a road trip from point A to point B. She drives x percent of the distance at 60 miles per hour and the remainder at 30 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?
Choices:
18,000
1,100
3,000
30,000
Answer: A
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of A?
Choices:
2899
2500
2778
10000
Answer: D
Question: If xy = 5 and x^2 + y^2 = 15, then x/y + y/x =
Choices:
3
5 1/3
7
60
Answer: A
Question: For a finite sequence of non zero numbers, the number of variations in sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 1, -3, 2, 5, -4, -5 ?
Choices:
2
3
4
5
Answer: A
Question: A class of students bought a total of 572 pencils. If each student in the class bought at least 17 pencils, then what is the greatest possible number of students in the class?
Choices:
32
33
34
35
Answer: B
Question: 3 of the 4 expressions (1), (2), (3) & (4) given below are exactly equal . Which of the expression is not equal to the other four expressions?
Choices:
(A – B)2 + 4AJ
(A – B)2 + 4AB
(A – B)2 + 2AB
(A – B)2 + 1AB
Answer: B
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:
777
350
377
267
Answer: B
Question: I travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last
Choices:
2
3
4
5
Answer: B
Question: The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
Choices:
16
7
6
5
Answer: A
Question: Two numbers are respectively 40% and 30% more than a third number. The second number expressed in terms of percentage of the first is ?
Choices:
93%
90%
80%
none of these
Answer: A
Question: A car travels a certain distance taking 7 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 5 hrs. What is the distance traveled
Choices:
210 kms
20 kms
40 kms
none of these
Answer: A
Question: Which of the following options is the possible total number of people in a hall given that the number of people is a multiple of both 6 and 16?
Choices:
66
54
48
50
Answer: C
Question: What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum?
Choices:
Rs. 108
Rs. 120
Rs. 132
Rs. 142
Answer: B
Question: If e persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job?
Choices:
x
x/y
z/x
y/z
Answer: D
Question: Lindsay can paint 1/x of a certain room in one hour. If Lindsay and Joseph, working together at their respective rates, can paint the room in two hours, what fraction of the room can Joseph paint in 20 minutes?
Choices:
x/(x-6)
(x-2)/6x
x/(x-2)
(x-2)/x
Answer: B
Question: At a meeting of the 7 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 7 Chiefs of Staff be seated around a circular table?
Choices:
480
960
2520
5040
Answer: A
Question: The function f is defined for all positive integers n by the following rule: f(n) is the product of the distinct prime factors of n. If f(n) < 80 and n is not prime, what is the greatest possible value of f(n)?
Choices:
69
60
55
63
Answer: A
Question: A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a + b) = ?
Choices:
10
12
15
16
Answer: A
Question: If log 27 = 1.461, then the value of log 9 is:
Choices:
0.945
0.954
0.958
0.974
Answer: D
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
4535
4539
4530
4532
Answer: C
Question: A girl has exactly 5 quarters, 9 dimes, and 10 nickels in her pocket. If she withdraws a number of these coins at random, how many coins would she have to withdraw to ensure that she has at least a 50 percent chance of withdrawing at least one quarter?
Choices:
3
4
5
6
Answer: A
Question: There are 36 hours in a day, 90 minutes in an hour and 60 seconds in one minute. What is the angle between hour hand and minute hand when time is 15:50?
Choices:
141.10 degree
101.10 degree
111.10 degree
121.10 degree
Answer: C
Question: A 260 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
240 m
260 m
320 m
330 m
Answer: A
Question: 1-1-1-1-1-1
do any operations between the numbers to make the sum as 37 ?
Choices:
35
36
37
38
Answer: C
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Choices:
15 seconds
20 seconds
12 seconds
None of these
Answer: C
Question: Look at this series: 5, 8, 6, 9, 7, ... What number should come next?
Choices:
11
10
8
12
Answer: B
Question: A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
Choices:
20.98%loss
20.97%loss
20.68%loss
20.98%loss
Answer: A
Question: In a triangle if the length of sides are as given below which one will not form triangle?
Choices:
(5,4,5)
(4,4,9)
(3,4,5)
(3,5,5)
Answer: B
Question: A certain car averages 15 miles per gallon of gasoline when driven in the city and 40 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway?
Choices:
30
32
36
38
Answer: B
Question: A man invests some money partly in 4% stock at 48 and partly in 10% stock at 110.To obtain equal dividends from both,he must invest the money in the ratio :
Choices:
3 : 5
4 : 5
6 : 5
None
Answer: C
Question: In a two-digit number, 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 52, then the number is:
Choices:
13
24
35
46
Answer: A
Question: If in a $270 mln portfolio of stock, twice as much is invested in stock A as is invested in all the other stocks, how much is invested in all the other stocks?
Choices:
90mln
70mln
60mln
50mln
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 15 seconds. What is the length of the train?
Choices:
250 m
876 m
150 m
267 m
Answer: A
Question: The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
Choices:
62%
92%
64%
22%
Answer: C
Question: What is the median from the below series 90, 92, 93, 88, 95, 88, 97
Choices:
91.71
92
98
100
Answer: A
Question: When 1/20% of 6,000 is subtracted from 1/10 of 6,000, the difference is
Choices:
200
380
598
400
Answer: C
Question: An investment R gained an interest payment of $250 each month when the annual interest rate was 8%, how much more should we invest annually if we want to gain 12% more per month with a new annual interest rate of 7.5% ?
Choices:
$9,100
$8,250
$7,300
$7,150
Answer: C
Question: A salesmanâ€™s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth
Choices:
12000
15000
20000
60000
Answer: A
Question: An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 4 miles per hour, then 5 miles per hour, then 6 miles per hour. If the test took 111 hours to complete, how many miles was the car driven during the entire test?
Choices:
520
560
500
540
Answer: D
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:
6
5
4
3
Answer: B
Question: What is the price of a orange?
(a) 14 banana and 35 oranges cost Rs. 84
(b) with a 50% discount on banana, Rs. 12 can buy 4 bananas and 5 oranges
Choices:
2
3
4
5
Answer: A
Question: The ratio of male to female in a class is 2:3. the career preference of the students in the class are to be represented in a circle graph. If the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by half of the males and half of the females in the class?
Choices:
a)180 degree
c)191 degree
d)192 degree
e)204 degree
Answer: A
Question: Earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and Ellen requires a minutes and half to stuff the same number of envelops.Working together,how long will it take Earl and Ellen to stuff 120 envelopes
Choices:
2 minutes
7 minutes
3 minutes
4 minutes
Answer: A
Question: 40 percent of the ducks included in a certain side effects study were male. If some of the ducks had side effects during the study and 40 percent of the ducks who had side effects were male, what was the ratio of the side effect rate for the male ducks to the side effect rate for the female ducks?
Choices:
1
2/3
7/8
8/7
Answer: A
Question: What will be the simple interest on Rs. 80,000 at 16(2/3) % per annum for 9 months?
Choices:
9,000
10,000
11,000
None of these
Answer: B
Question: Pat, kate and mark charged a total of 216 hours to a certain project . If pat charged twice as much time to the project as kate and 1/3 as much times as mark, how many more hours did mark charge to the project than kate.
Choices:
36
120
90
108
Answer: B
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 30% on the cost price?
Choices:
62.3
65
62.2
62.9
Answer: B
Question: If two numbers are in the ratio 1:2. If 10 is added to both of the numbers then the ratio becomes 2:3 then find the smallest number?
Choices:
10
30
40
50
Answer: A
Question: What is the least number of squares tiles required to pave the floor of a room 8 m 82 cm long and 2 m 52 cm broad?
Choices:
14
40
44
48
Answer: A
Question: There are 5 girls and 5 boys. If they are to be seated in a row, what is the probability that no two girls sit together?
Choices:
B)2*5!5!/10!
C)6!6!/10!
D)6!6!/12!
E)6!7!/12!
Answer: A
Question: Sides of a triangle are 13 cm.14cm.and 15cm.respectively.calculate the area of triangle.
Choices:
82
84
86
88
Answer: B
Question: Which of the following CANNOT yield an integer when divided by 7 ?
Choices:
An integer with only even prime factors
The product of two odd integers
An integer divisible by 8
An even integer
Answer: A
Question: A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
Choices:
33
55
4
9
Answer: C
Question: Virat buys an old car for Rs. 50000 and spends Rs. 4000 on its repairs. If he sells the scooter for Rs. 60000, his gain percent is:
Choices:
11 (1/9) %
11 (4/9) %
13 (1/9) %
51 (1/9) %
Answer: A
Question: A train passes a station platform in 36 sec and a man standing on the platform in 22 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
210
881
1277
121
Answer: A
Question: The age of mother one decade age was three times the age of her daughter. 10 years hence, mother’s age will be two times that of her daughter. The proposition of their current ages is:
Choices:
7:3
8:3
2:3
6:3
Answer: A
Question: can you find the missing number in the sequence below
11 15 19 12 16 ? 13 17 21 14 18 22
Choices:
23
25
20
None
Answer: C
Question: The speed at which a woman can row a boat in still water is 300 kmph. If he rows downstream, where the speed of current is 42 kmph, what time will he take to cover 190 metres?
Choices:
2
3
4
5
Answer: A
Question: A prize of $600 is to be distributed among 15 winners, each of whom must be awarded at least $15. If 2/5 of the prize will be distributed to 3/5 of the winners, what is the greatest possible individual award?
Choices:
$220
$285
$300
$360
Answer: B
Question: The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit?
Choices:
Rs. 960
Rs. 1060
Rs. 1200
Rs. 1300
Answer: A
Question: what is rate of interest if principal.amount be 400,simple interest 160 and time 2year.
Choices:
12.5
20
12
14.5
Answer: B
Question: A trade analyst announced 20% reduction in the unit price of car. As a result, the sales volume went up by 5%. What was the net effect on the sales revenue?
Choices:
decreases by 19.2%
increases by 19%
increases by 19.0%
None of these
Answer: A
Question: What is the sum of the different positive prime factors of 250?
Choices:
11
15
7
18
Answer: C
Question: If a*b=2a-3b+ab,then3*5+5*3 is equal to
Choices:
22
26
28
23
Answer: A
Question: If logx y = 10 and log2 x = 1000, what is the value of y?
Choices:
21000
210000
210
21100
Answer: B
Question: What is the sum of this series?
1, 3, 5, 7, 9, ...... 59.
Choices:
800
900
700
1100
Answer: B
Question: Mark is playing poker at a casino. Mark starts playing with 160 chips, 20% of which are $100 chips and 80% of which are $20 chips. For his first bet, Mark places chips, 10% of which are $100 chips, in the center of the table. If 70% of Mark's remaining chips are $20 chips, how much money did Mark bet?
Choices:
$1,740
$1,540
$3,080
$2,240
Answer: D
Question: If a:b = 3:1, then find (a - 3b)/(2a - b)?
Choices:
0
2
1/7
2/7
Answer: A
Question: How many times will the digit 8 be written when listing the integers from 1 to 1000?
Choices:
297
300
345
482
Answer: B
Question: My name is AJEET. But my son accidentally types the name by interchanging a pair of letters in my name. What is the probability that despite this interchange, the name remains unchanged?
A.
B.
C.
D.
Choices:
10%
20%
25%
35%
Answer: A
Question: Six years ago, the ratio of the ages of Vimal and Saroj was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Saroj's age at present?
Choices:
14
16
18
15
Answer: B
Question: The remainder when positive integer nn (n>1n>1) is divided by 25 is 1 and the remainder when nn is divided by 7 is also 1. What is the least value of nn?
Choices:
101
126
151
176
Answer: D
Question: What is the thousandths digit in the decimal equivalent of 62/5000?
Choices:
1
2
5
6
Answer: B
Question: What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the second?
Choices:
1349
1160
1450
1500
Answer: A
Question: If f(x) = k(x - k) and k is a constant, what is the value of f(3) - f(2), in terms of k?
Choices:
k
7k - 1
k^2 + k
k^2 - k
Answer: A
Question: A and B can do a piece of work in 10 days. With the help of C they finish the work in 3 days. C alone can do that piece of work in?
Choices:
4.3 days
17.5 days
16.5 days
18.5 days
Answer: A
Question: A sock drawer contains seven socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, blue, indigo, and violet. A person reaches into the drawer, pulls out two socks, and puts a single sock on each foot. If each sock can fit either the left or the right foot, and if it matters whether a particular sock is on the left or the right foot, how many different sock fashion combinations could the person make from the seven socks?
Choices:
15
21
36
42
Answer: D
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3 . Find his average after 17th inning.
Choices:
39
26
87
11
Answer: A
Question: Sripad has scored average of 62 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?
Choices:
70
38
27
21
Answer: A
Question: If 3 men or 4 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same piece of work?
Choices:
8/3
5
4
3
Answer: A
Question: The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 25 years and the average age of the last three persons is 31 years, then find the age of the person sitting in the middle of the row?
Choices:
29 years
28 years
19 years
17 years
Answer: B
Question: The prices of a scooter and a television set are in the ratio 3 : 2. If a scooter costs Rs. 6000 more than the television set, the price of the television set is ?
Choices:
Rs. 10000
Rs. 12000
Rs 16000
Rs. 18000
Answer: B