antoine-444/aqua_rat_dataset huggingface dataset:
Question: A man invests Rs. 8,000 at the rate of 5% per annum. How much more should he invest at the rate of 8%, so that he can earn a total of 6% per annum?
Choices:
Rs. 1300
Rs. 1500
Rs. 4000
None of these
Answer: C
Question: For a group of n people, k of whom are of the same sex, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 20 people, 8 of whom are females, by how much does the index for the females exceed the index for the males in the group?
Choices:
0.0625
0.2
0.25
0.6
Answer: B
Question: There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs. 2288, then what was the price of the article initially?
Choices:
Rs.2073
Rs.2000
Rs.2027
Rs.2022
Answer: B
Question: There are three foam generators in the factory, each of the first two can generate 10 liters of foam in one hour and the third can generate 18 liters in an hour. The three generators start working together at the same time and after one hour and a half one of the first generators stops working and two hours after that the third generator stops working and only one generator is left. If 5 hours after they all started to work the last generator stops working, how many liters of foam were generated?
Choices:
128
146.
154.
166.
Answer: A
Question: In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 30 percent, but profits were 16 percent of revenues. The profits in 1999 were what percent of the profits in 1998?
Choices:
105%
120%
112%
138%
Answer: C
Question: 30 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?
Choices:
120
50.4
60
90
Answer: A
Question: There are 5 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 4 other amateurs, what is the total number of chess games possible to be played in the tournament?
Choices:
10
40
60
120
Answer: A
Question: If 28a+30b+31c=425.
then a+b+c=?.a,b,c are natural numbers
Choices:
14
6
9
2
Answer: A
Question: A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?
Choices:
38hours
78hours
28hours
48hours
Answer: C
Question: What is the place value of 3 in the numeral 53468?
Choices:
3000
3
330
300
Answer: A
Question: A child is playing with letter blocks (a playing cube in which an english letter is written). Before leaving the child to play on her own, her mon arranged 5 blocks into the word APPLE. How many different 6 letter words can the child make with these 5 blocks (Words need not have a meaning.She is just a child!) ?
Choices:
3!
4!
5!
6!
Answer: B
Question: A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $30 to ship a certain package, which of the following was the weight of the package, in pounds?
Choices:
8
10
12
14
Answer: C
Question: Williams works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 8 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?
Choices:
5/7
6/7
1/7
4/7
Answer: D
Question: If four coins are tossed, the probability of getting two heads and two tails is
Choices:
3/8
2/5
4/5
5/11
Answer: A
Question: If 0.75: x :: 5:9, then x is equal to:
Choices:
1.16
1.2
1.35
None of these
Answer: C
Question: By investing in 16 2/3% stock at 64, one earns Rs. 1500. The investment made is:
Choices:
Rs. 5760
Rs. 7500
Rs. 8600
Rs. 9600
Answer: A
Question: A grocery purchased cereal at 40% of its list price and sold it for 90% of its list price. What is its percent gain?
Choices:
65
75
110
125
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 720 grams per kg, what is his percent?
Choices:
25%
38.9%
45%
35%
Answer: B
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Choices:
240
665
199
261
Answer: A
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Choices:
480
266
1251
121
Answer: A
Question: A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw
Choices:
64
132
222
None of these
Answer: A
Question: GOOD is coded as 164 then BAD coded as 21.if ugly coded as 260 then JUMP?
Choices:
210
220
230
240
Answer: D
Question: A drought decreased the amount of water in city X’s reservoirs from 118 million gallons to 96 million gallons. If the reservoirs were at 79 percent of total capacity before the drought began, approximately how many million gallons were the reservoirs below total capacity after the drought?
Choices:
58
54
46
32
Answer: B
Question: Evaluate : 986 x 237 + 986 x 863
Choices:
986000
978000
987000
None of them
Answer: A
Question: The class mean score on a test was 50, and the standard deviation was 15. If Jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received?
Choices:
20
45
90
89
Answer: A
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8100. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Choices:
2876
4500
2981
6100
Answer: D
Question: 256, 225, 196, 169, 144, ?
Choices:
64
81
121
100
Answer: C
Question: In a shop, 40% socks are white and rest are black. 60% socks are made of cotton and rest are made of wool. 25% white socks are made of cotton and 20 of the black socks are made of wool. How many black socks Z are made of cotton?
Choices:
100
60
50
25
Answer: A
Question: A certain junior class has 3000 students and a certain senior class has 800 students. Among these students, there are 60 siblings pairs each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
Choices:
1/40000
9/2000
1/60
1/15
Answer: A
Question: Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.” Every day Dave chooses an outfit consisting of one of each of the following garments: jacket, tie, shirt, pants, boxers, right sock, left sock, right shoe, left shoe. If Dave has more than one of each of the listed garments, and can make 630,000 different outfits, then for how many garments does Dave have exactly five choices?
Choices:
1
2
3
4
Answer: D
Question: A sum amounts to Rs.4410 in 2 years at the rate of 5% p.a. If interest was compounded yearly then what was the principal?
Choices:
Rs.4000
Rs.4500
Rs.4800
Rs.5800
Answer: A
Question: A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containg 19% alcohol and now the percentage of alcohol was found to be 26%. What quantity of whisky is replaced ?
Choices:
2/3
2/5
3/5
4/5
Answer: A
Question: In store A there are 50 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?
Choices:
2:3.
5:3.
3:4.
2:5.
Answer: B
Question: The side of a cube is 15 m, find it's surface area?
Choices:
1350
1150
1450
1570
Answer: A
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
Choices:
365
452
251
756
Answer: D
Question: A train 220 m long is running with a speed of 59 kmph.. In what will it pass a man who is running at 7 kmph in the direction opposite to that in which the train is going
Choices:
10 sec
12 sec
14 sec
15 sec
Answer: B
Question: A train 500m long takes 10 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
Choices:
175kmph
162kmph
145kmph
100kmph
Answer: A
Question: The average age of applicants for a new job is 20, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
Choices:
16
17
18
34
Answer: B
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
Choices:
39
42
40.5
41.5
Answer: A
Question: Set S consists of integers {8, 11, 12, 14, 15}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 25%. What is the value of integer n?
Choices:
32
36
40
44
Answer: C
Question: There are 6 people and 6 chairs. In how many different ways people can occupy the chairs?
Choices:
500
420
720
840
Answer: C
Question: The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?
Choices:
148
992
772
222
Answer: A
Question: Find the sum of first 32 natural numbers
Choices:
468
465
463
528
Answer: D
Question: The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 30 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is
Choices:
90
92
99
96
Answer: C
Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 86 players took part in that tournament. How many matches were played?
Choices:
95 matches
99 matches
85 matches
87 matches
Answer: C
Question: The speed at which a man can row a boat in still water is 15 km/hr. If he rows downstream, where the speed of current is 3 km/hr, how many seconds will he take to cover 100 meters?
Choices:
16
18
20
22
Answer: C
Question: In a sports club with 30 members, 17 play badminton and 18 play tennis and 2 do not play either. How many members play both badminton and tennis?
Choices:
7
9
10
11
Answer: A
Question: The positive value of x that satisfies the equation (1 + 2x)^3 = (1 + 3x)^4 is between
Bunuel, can you please explain this one?
Choices:
0.5 and 1
1 and 1.5
1.5 and 2
2 and 2.5
Answer: A
Question: The average of first five multiples of 2 is?
Choices:
6
9
5
7
Answer: A
Question: When positive integer A is divided by positive integer B, the result is 9.44. Which of the following could be the integer B is ?
Choices:
44
24
25
22
Answer: C
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.3600. How much third person will get?
Choices:
1600
2980
2707
2872
Answer: A
Question: If 10 crates have 98 apples each and how many apples more is required in order to make 100 apples in each crate?
Choices:
10
15
20
0
Answer: C
Question: A company that ships boxes to a total of 15 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (assume that the order of the colors in a pair does not matter)
Choices:
7
6
5
9
Answer: C
Question: What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?
Choices:
Rs.120
Rs.130
Rs.110
None of these.
Answer: A
Question: If the probability E of rain on any given day in city x is 50% what is the probability it with rain on exactly 3 days in a five day period?
Choices:
2/25
5/16
8/25
3/4
Answer: B
Question: If a young child was 16 months old one year ago, how old was the child, in months, x months ago?
Choices:
x − 12
16 − x
24 − x
28 − x
Answer: D
Question: The sector of a circle has radius of 28 cm and central angle 90o. Find its perimeter?
Choices:
100 cm
75 cm
95 cm
110 cm
Answer: A
Question: how many internal diagonals does a nonagon (nine sided polygon) have?
Choices:
27
40
56
80
Answer: A
Question: Students in Class I, II and III of a school are in the ratio of 3 : 5 : 8. Had 15 more students admitted to each class, the ratio would have become 6 : 8 : 11. How many total students were there in the beginning?
Choices:
64
96
80
None
Answer: C
Question: A voltmeter is used:
Choices:
266
27
26
81
Answer: B
Question: Of the three-digit integers greater than 900, how many have two digits that are equal to each other and the remaining digit different from the other two?
Choices:
90
80
45
36
Answer: A
Question: 0, 6, 18, 36, 60, 90, ?What number should replace the question mark?
Choices:
126
119
126
147
Answer: A
Question: In how many ways can 7 boys be seated in a circular order?
Choices:
360
420
720
480
Answer: C
Question: A grocer has a sale of Rs 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 6500 ?
Choices:
4991
2777
2977
2781
Answer: A
Question: A and B started a business investing Rs. 10,000 and Rs 20,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
Choices:
9:2
18:20
1:2
18:4
Answer: C
Question: There is a circular table. It has 60 chairs. Drakula came and sit on a chair beside another person. What is the minimum no. of person will be so, that wherever he sits he always gets to sit beside a person
Choices:
20
15
10
5
Answer: A
Question: An employer pays Rs.20 for each day a worker works and for felts Rs.3 for each day is ideal at the end of sixty days a worker gets Rs.280 . for how many days did the worker remain ideal?
Choices:
40
30
20
50
Answer: A
Question: If a and b are the two values of t that satisfy
the equation t2 – 6t + 8 = 0, with a > b, what is the value of a – b?
Choices:
2
6
8
10
Answer: A
Question: A and B can do a piece of work in 11 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
Choices:
19.5 days
17.5 days
9.2 days
18.5 days
Answer: C
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
Rs. 12.10
Rs. 19.70
Rs. 16.80
None of these
Answer: B
Question: In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 500. Find the average mark scored by all the three boys?
Choices:
826
240
269
208
Answer: B
Question: Mike took a taxi to the airport and paid $2.50 to start plus $0.25 per mile. Annie took a different route to the airport and paid $2.50 plus $5.00 in bridge toll fees plus $0.25 per mile. If each was charged exactly the same amount, and Annie's ride was 22 miles, how many miles was Mike's ride?
Choices:
36
42
48
54
Answer: B
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 64, the dividend is:
Choices:
10302
10303
10304
10305
Answer: D
Question: A dinner has to be hosted with 5 managers.Find the number of ways in which the managers may be selected from among 9 managers,if 2 managers will not attend the meeting together.
Choices:
2.None of these
3.12
4.126
5.15
Answer: A
Question: Braun invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Braun got back 6 times his original investment. What is the value of n?
Choices:
25 years
62 years 6 months
37 years 6 months
40 years
Answer: B
Question: The cost price of a cow and a horse is 3 lakhs. The cow is sold at 20% profit and horse at 10% loss.Overall gain is Rs.4200. What is the cost price of the cow?
Choices:
114000
115000
116000
124000
Answer: A
Question: If u, v and r are positive integers greater than 1, and p and q are factors of r, which of the following must be the factor of r^(uv)?
I. u+v
II. v^u
III. u^2 * v^2
Choices:
II only
III only
I and II
II and III
Answer: D
Question: A committee of 3 has to be formed randomly from a group of 6 people. If Tom and Mary are in this group of 6, what is the probability that Tom will be selected into the committee but Mary will not?
Choices:
1/5
3/10
2/5
1/2
Answer: B
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
40
26
27
21
Answer: A
Question: If 5% more is gained by selling an article for Rs. 360 than by selling it for Rs. 340, the cost of the article is?
Choices:
688
400
121
123
Answer: B
Question: Difference between the length &breadth of a rectangle is 15m. If its perimeter is 206 m, then its area is?
Choices:
2500 m^2
2520 m^2
1800 m^2
2580 m^2
Answer: C
Question: By selling 8 pens for a rupee a woman loses 25%. How many for a rupee should he sell in order to gain 25%?
Choices:
14
3
5
6
Answer: C
Question: If the wheel is 10 cm then the number of revolutions to cover a distance of 1056 cm is?
Choices:
16.8
14
12
91
Answer: A
Question: If the price of rice rises from Rs. 6 per kg to Rs. 8 per kg, to have no increase in his expenditure on rice, a person will have to reduce his consumption of sugar by
Choices:
25
27
19
71
Answer: A
Question: If the area of circle is 616 sq cm then its circumference?
Choices:
88
99
66
41
Answer: A
Question: If x+y=25 and x^2y^3 + y^2x^3=25, what is the value of xy?
Choices:
1
2
3
4
Answer: A
Question: The last time Rahul bought Diwali cards, he found that the four types of cards that he liked were priced Rs.4.50, Rs.5.50, Rs.8.00 and Rs.10.00 each. As Rahul wanted 40 cards, he took five each of two kinds and fifteen each of the other two, putting down the exact number of 10 rupees notes on the counter payment. How many notes did Rahul give?
Choices:
20
24
32
30
Answer: C
Question: A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
Choices:
31 5/7 years
81 5/7 years
31 9/7 years
41 5/7 years
Answer: A
Question: A magician has five animals in his magic hat: 3 doves and 2 rabbits. If he pulls two animals out of the hat at random, what is the chance V that he will have a matched pair?
Choices:
V=2/5
1/5
1/2
7/5
Answer: A
Question: Charlene's annual bonus is calculated in the following manner: Charlene receives 20 percent of her first $11,000 in sales and 32 percent of her sales in excess of $11,000. If Charlene received a bonus of $7,300, what were her annual sales?
Choices:
$ 18,687
$ 24,000
$ 26,000
$ 28,000
Answer: A
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 200 m is?
Choices:
777 m
200 m
100 m
128 m
Answer: C
Question: A 140 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 520 m in ?
Choices:
20.2 sec
31.8 sec
43.2 sec
none of the above
Answer: C
Question: If S is the sum of the reciprocals of the consecutive integers from 71 to 80, inclusive, which of the following is less than S?
I. 1/7
II. 1/8
III. 1/9
IV. 1/7>S >1/8
Choices:
IV
II
III
I&II
Answer: A
Question: A ship sails 4 degrees north, then 13 S. then 17 N. then 19 S. and has finally 11 degrees of south latitude. What was her latitude at starting ?
Choices:
STARTED WITH EQUATOR
STARTER WITH SOUTH POLE
STARTER WITH 80 DEGREE NORTH POLE
STARTER WITH NORTH OF SOUTH POLE
Answer: A
Question: A certain industrial machine requires 15 quarts (480 ounces) of oil every day, and it is given a mixture of oil A and oil B. Oil A consists of 6% special additives while oil B consists of 8% special additives. If the machine needs exactly 30 ounces of the special additives to ensure smooth operation, then how much of oil A, in ounces, should be in the mixture?
Choices:
b.	B – 280
c. C – 290
d.	D – 300
e.	E – 420
Answer: D
Question: The product of the digits of the four-digit number E is 36. No two digits of are identical. How many different numbers are possible values of E ?
Choices:
12
24
36
48
Answer: B
Question: A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 6 runs. His new average is:
Choices:
48 runs
70 runs
75 runs
80 runs
Answer: A
Question: In a city where all streets run east-to-west, all avenues run north-to-south, and all intersections are right angles as shown below, Jessica needs to walk from the corner of 6th Street and 3rd Avenue to the corner of 1st Street and 1st Avenue. If Jessica will randomly choose from any route that allows her to walk the fewest number of blocks, what is the probability that she walks exactly two blocks on 1st Avenue?
Choices:
1/7
4/21
10/21
12/21
Answer: B
Question: At lovely gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?
Choices:
24
36
48
96
Answer: A
Question: What is the perimeter of a square with area 9p^2/25 ?
Choices:
3p^2/4
12p/5
3p^2
4p/3
Answer: B
Question: A certain no. when divided by 35leaves aremainder 25, what is the remainder if the same no.be divided by 15?
Choices:
3
4
6
8
Answer: B
Question: Ritesh and Co. generated revenue of Rs. 2,500 in 2006. This was 12.5% of its gross revenue. In 2007, the gross revenue grew by Rs. 2,500. What is the percentage increase in the revenue in 2007?
Choices:
12.5%
25%
50%
None of these
Answer: A
Question: Rose is two years older than Bruce who is twice as old as Chris. If the total of the age of Rose, B and Chris be 37 years, then how old is Chris ?
Choices:
7 years
12 years
13 years
14 years
Answer: A
Question: A clock shows the time as 12 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p.m.?
Choices:
55 minutes
35 minutes
30 minutes
40 minutes
Answer: C
Question: The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
Choices:
1299
1000
10000
2887
Answer: C
Question: How many unique positive odd integers less than 90 are equal to the product of a positive multiple of 5 and an odd number?
Choices:
9
11
12
15
Answer: A
Question: If a number is formed by writing integers 1 to 150 one after another, like 12345...150. How many T digits does this integer consists of?
Choices:
339
342
359
362
Answer: B
Question: What is the smallest integer y for which 27^y> 3^24?
Choices:
8
9
10
12
Answer: B
Question: A tradesman by means of his false balance defrauds to the extent of 50%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
125%
150%
100%
115%
Answer: A
Question: The ratio of two natural numbers is 5:6. If a certain number is added to both the numbers, the ratio becomes 7:8. If the larger number exceeds the smaller number by 10, find the number added?
Choices:
87
20
72
74
Answer: B
Question: Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is?
Choices:
16
77
88
99
Answer: A
Question: If the charge of staying in a student youth hostel $18.00/day for the first week, and $15.00/day for each additional week, How much does it cost to stay for 23 days?
Choices:
$336
$282
$274
$286
Answer: A
Question: A worker makes a toy in every 2h. If he works for 80h, then how many toys will he make ?
Choices:
40
45
39
None
Answer: A
Question: In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Choices:
120
153
200
250
Answer: A
Question: When a certain number X is divided by 61, the remainder is 24. What is the remainder when X is divided by 5?
Choices:
3
4
5
6
Answer: B
Question: If (2 to the x) - (2 to the (x-2)) = 3 (2 to the 11), what is the value of x?
Choices:
11
13
15
17
Answer: B
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
2 3 1/2 kmph
4 2 1/2 kmph
2 2 1/2 kmph
2 2 4/2 kmph
Answer: C
Question: Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in scheme B?
Choices:
6400
2666
2888
1671
Answer: A
Question: Three cannons are firing at a target. If their individual probabilities to hit the target are 0.9, 0.7, and 0.8 respectively, what is the probability that none of the cannons will hit the target after one round of fire?
prob. that all the cannons will hit the target = .06
prob. that none of the cannons will hit = 1 - .06 = .94
Choices:
0.06
0.21
0.29
0.94
Answer: A
Question: A can finish a piece of work in 5 days. B can do it in 10 days. They work together for 1 day and then A goes away. In how many days will B finish the work?
Choices:
5 days
6 days
7 days
9 days
Answer: C
Question: How many two letter words are formed using the letters of the word MICKY?
Choices:
21
26
20
29
Answer: C
Question: A three-person committee must be chosen from a group of 7 professors and 10 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee?
Choices:
560
630
1,260
1,980
Answer: A
Question: The sum of the first 50 positive even integers is 2550. What is the sum of the even integers from 402 to 500 inclusive?
Choices:
18,550
22,550
26,550
30,550
Answer: B
Question: Number of students in institutes A and B were in the ratio of 7 : 15 respectively in 2012. In 2013, the number of students in institute A increased by 25% and number of students in institutes B increased by 26%, then what was the respective ratio between number of students in institutes A and B?
Choices:
24 : 55
24 : 53
25 : 53
25 : 54
Answer: D
Question: A and B start a business, with A investing the total capital of Rs.5000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
Choices:
B)3500
C)5000
D)6000
E)8000
Answer: A
Question: In three annual examinations, of which the aggregate marks of each was 500, a student secured
average marks 45% and 55% in the first and the second yearly examinations respectively. To secure 60% average total marks, it is necessary for him in third yearly examination to secure marks :
Choices:
350
400
450
500
Answer: B
Question: If 1/a + 3/a + 4/a is an integer, which of the following must also be an integer?
Choices:
3/a
8/a
9/a
15/a
Answer: B
Question: How long does a train 110 m long running at the speed of 36 km/hr takes to cross a bridge 132 m length?
Choices:
12.1 sec
24.2 sec
13.1 sec
12.15sec
Answer: B
Question: What is the greatest number of three digits which is divisible by 5, 10, 15 ?
Choices:
970
955
990
999
Answer: C
Question: In a race with 30 runners where 6 trophies will be given to the top 6 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
Choices:
6^6 ways
7^8 ways
8^7 ways
8^6 ways
Answer: A
Question: At what time between 6 and 7 are the hands of the clock coincide?
Choices:
6:37
6:31
6:32
6:313
Answer: C
Question: A fair coin with sides marked heads and tails is to be tossed eight times. What is the probability that the coin will land tails side up more than five times?
Choices:
37/256
65/256
70/256
81/256
Answer: A
Question: A certain bakery baked a batch of 450 cookies one day. Of those, 320 contained nuts, 230 contained chocolate chips, and 85 contained neither nuts nor chocolate chips. What is the fewest possible number of cookies with both chocolate chips and nuts that would need to be added to that batch so that cookies with both nuts and chocolate chips represented more than 3/5 of all the cookies in the batch?
Choices:
213
413
438
511
Answer: A
Question: The avg. age ofa group of 12 students is 20yers.If 4 more students join the group,the avg age increases by 1 year.The avg age of the new student is?
Choices:
23 years
24 years
25 years
26 years
Answer: B
Question: A room has equal number of men and women. Eight women left the room, leaving twice as many men as women in the room . What was the total number of men and women present in the room initially?
Choices:
30
31
32
27
Answer: C
Question: In how many ways can you seat 4 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
Choices:
6
2880
5040
10080
Answer: A
Question: The annual cost of owning and operating a car, C dollars, is a linear function of the distance, d kilometers, it is driven.
Choices:
0.3d + 16089
0.3d + 1600
0.3d + 1602
0.3d + 1601
Answer: B
Question: Linda and Angela contract to paint a neighbor's house. Even though Linda spends 80% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ?
Choices:
1/2 m
1/4 m
1/5 m
1/6 m
Answer: A
Question: The toll for crossing a certain bridge is $0.65 each crossing. Drivers who frequently use the bridge may instead purchase a sticker each month for $13.00 and then pay only $0.30 each crossing during that month. If a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker?
Choices:
15
16
28
29
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
4510
1203
4510
Answer: A
Question: If n is a 9-digit positive integer, all of whose digits are the same, which of the following must be true?
I. n is divisible by 3
II. n is divisible by 9
III. n is divisible by 10
Choices:
I and II only
I and III only
II and III only
I, II and III
Answer: A
Question: Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $28 more. What was his original selling price?
Choices:
$260
$320
$380
$440
Answer: D
Question: In a diving competition, each diver has a 25% chance of a perfect dive. The first perfect dive of the competition, but no subsequent dives, will receive a perfect score. If Janet is the third diver to dive, what is her chance of receiving a perfect score? (Assume that each diver can perform only one dive per turn.)
Choices:
1/15
4/25
9/64
61/125
Answer: C
Question: If 40 men take 15 days to to complete a job, in how many days can 25 men finish that work?
Choices:
24
26
27
28
Answer: A
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
50 m
80 m
82 m
84 m
Answer: A
Question: The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is:
Choices:
4 months
7 months
9 months
4 months
Answer: A
Question: The average weight of D, E and F is 42 kg. If the average weight of D and E be 35 kg and that of E and F be 41 kg, what is the weight of E?
Choices:
24 Kg
25 Kg
26 Kg
27 Kg
Answer: C
Question: A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?
Choices:
48 min. past 19
48 min. past 10
48 min. past 11
48 min. past 14
Answer: A
Question: If the number 67925*4 is completely divisible by 8, then the smallest whole number in place of * will be?
Choices:
2
0
4
None of these
Answer: B
Question: The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 40%?
Choices:
6
5
2
8
Answer: C
Question: Pam and Stanley packed several boxes with reams of paper. While both packed, Pam packed 40% of the boxes. After Pam stopped, Stanley packed the same number of boxes that he had packed while working with Pam. What is the ratio of the number of boxes Pam packed to the number of boxes Stanley packed?
Choices:
1 to 3
2 to 6
3 to 4
3 to 2
Answer: B
Question: If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 65 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
Choices:
55 %
70%
75%
80%
Answer: A
Question: If x and j are integers and 2x–j= 11, then 4x+ j CANNOT be
Choices:
1
13
17
551
Answer: C
Question: x and y are positive integers. When x is divided by 9, the remainder is 2, and when x is divided by 7, the remainder is 4. When y is divided by 11, the remainder is 3, and when y is divided by 13, the remainder is 12. What is the least possible value of y - x?
Choices:
13
14
15
16
Answer: B
Question: A necklace is made by stringing N individual beads together in the repeating pattern yellow bead, green bead, red bead, white bead, and blue bead. If the necklace design begins with a yellow bead and ends with a red bead, then N could equal
Choices:
55
35
65
68
Answer: D
Question: Aryan runs at a speed of 40 metre/minute. Rahul follows him after an interval of 5 minutes and runs at a speed of 50 metre/minute. Rahul's dog runs at a speed of 60 metre/minute and start along with Rahul. The dog reaches Aryan and then comes back to Rahul, and continues to do so till Rahul reaches Aryan. What is the total distance covered by the dog?
Choices:
1200 meters
1250 meters
1300 meters
1400 meters
Answer: A
Question: Andrew purchased 11kg of grapes at the rate of 98 per kg and 7 kg of mangoes at the rate of 50 per kg. How much amount did he pay to the shopkeeper?
Choices:
1055
1428
1500
1080
Answer: B
Question: Amith was 3 times as old as Harsh 6 years back. Amith will be 5/3 times as old as Harsh 6 years hence. How much old is Harsh today?
Choices:
12
15
16
18
Answer: A
Question: If (x/y)=(9/5), find the value (x^2+y^2)/(x^2-y^2)
Choices:
53/28
51/77
41/11
None of them
Answer: A
Question: A motor pool has 300 vehicles of which 40 percent are trucks. 20 percent of all the vehicles in the motor pool are diesel, including 15 trucks. What percent of the motor pool is composed of vehicles that are neither trucks nor diesel?
Choices:
45%
65%
55%
10%
Answer: A
Question: P is three times as fast as Q and working together, they can complete a work in 9 days. In how many days can Q alone complete the work?
Choices:
17 days
19 days
12 days
10 days
Answer: C
Question: A larger cube has 64 cubic inch as a volume and in the cube there are 64 smaller cubes such that their volume is 1 cubic inch. What is the difference between the surface areas’ sum of the 64 smaller cubes and the surface area of the larger cube, in square inch?
Choices:
64
81
288
120
Answer: C
Question: Calculate the largest 5 digit number which is exactly divisible by 77?
Choices:
99946
99869
99792
99654
Answer: A
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is?
Choices:
26
90
27
21
Answer: B
Question: In a group of 5 boys and 3 girls, four children are to be selected. In how many different ways can they be selected such that at least one girl is included?
Choices:
65
80
35
120
Answer: A
Question: The value of a 10.5% stock, in which an income of Rs.756 is derived by investing Rs.9000, brokerage being% is :
Choices:
Rs. 120
Rs. 124.75
Rs. 131
Rs. 124.75
Answer: B
Question: A university cafeteria offers 1 flavors of pizza - pepperoni. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ?
Choices:
8
12
1
32
Answer: C
Question: The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $350, by what percent is the price to be reduced?
Choices:
70%
20%
25%
30%
Answer: A
Question: A team consists of 4 boys and 3 girls. If you pick two persons at the same time, what's the probability that one person is boy and other one is girl ?
Choices:
5/7
4/7
3/7
1/2
Answer: B
Question: A certain article of clothing was discounted during a special sale to 2/5 of its original retail price. When the clothing didn't sell, it was discounted even further to 1/2 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the second sale?
Choices:
33.33%
25%
16.66%
12.5%
Answer: C
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 48, the dividend is:
Choices:
5808
5343
5345
5350
Answer: A
Question: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Choices:
8/21
5/27
11/32
1/4
Answer: A
Question: After working for 6 days, David was joined by Moore. Together they completed the remaining job in 3 days. How many days will it take both of them to complete the entire job, given that it would have taken David 12 days to complete the job alone?
Choices:
4
6
2
7
Answer: B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 25 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
165 m
167 m
887 m
265 m
Answer: A
Question: In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (-8, 1), (1, 1), (1, -7 and (-8, -7)?
Choices:
36
72
56
112
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:
2/17
2/21
2/28
2/11
Answer: B
Question: A discount of 20 percent on an order of goods followed by a discount of 20 percent amounts to
Choices:
the same as one 40 percent discount
the same as one 36 percent discount
the same as one 30 percent discount
the same as one 25 percent discount
Answer: B
Question: In the set of positive integers from 1 to 90, what is the sum of all the odd multiples of 5?
Choices:
245
320
405
450
Answer: C
Question: A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 9 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
Choices:
16
21
24
27
Answer: C
Question: A metallic sheet is of rectangular shape with dimensions 30 m x 25 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 6 m, the volume of the box (in m cube) is:
Choices:
840 m cube
1000 m cube
120 m cube
None of these
Answer: D
Question: A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
Choices:
20 min
27.5 min
30 min
25 min
Answer: C
Question: One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 14 cm2. Find the lengths of all sides.
Choices:
7 and 10
10 and 7
3 and 10
8 and 5
Answer: D
Question: The ratio of the volumes of two cubes is 729 : 1000. What is the ratio of their total surface areas?
Choices:
81 : 100
729 : 1331
27 : 121
None of these
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 21 seconds. What is the length of the train?
Choices:
350 m
876 m
150 m
267 m
Answer: A
Question: A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 20 percent of the drive from the center, what percent of the round-trip has the technician completed?
Choices:
10%
60%
40%
50%
Answer: B
Question: An amount of Rs.95000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
Choices:
s. 59375; Rs. 35625
s. 72500; Rs. 27500
s. 82500; Rs. 17500
s. 72500; Rs. 17500
Answer: A
Question: If r = 199,999 and s = 991,999, which of the following is the units digit of r^5 + s^4?
Choices:
0
2
8
9
Answer: A
Question: At present, the ratio between the ages of Arun and Deepak is 4:5. After 5 years, Arun's age will be 25 years. What is the age of Deepak at present?
Choices:
20
25
23
22
Answer: B
Question: Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 47 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
Choices:
6%
15%
17%
20%
Answer: A
Question: Find the value of c from (8)^3 x 9^3 Ã· 679 = c.
Choices:
529.7
549.7
594.7
119.7
Answer: B
Question: Sixty percent of a number is 21 less than four fifth of that number. What is the number ?
Choices:
140
230
130
105
Answer: D
Question: Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 46 kmph respectively. In how much time will they cross each other, if they are running in the same direction?
Choices:
210 sec
192 sec
252 sec
None
Answer: A
Question: How many 3-digit even numbers are possible such that if one of the digits is 4, the next/succeeding digit to it should be 7?
Choices:
5
365
405
495
Answer: A
Question: What is the next number of the following sequence
10, 7, 12, 10, 14, __ ?
Choices:
13
15
16
17
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:
1350
299
266
29912
Answer: A
Question: In how many different number of ways 7 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
B)170
C)190
D)15120
E)230
Answer: C
Question: The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
Choices:
16 2/3%
16 7/3%
16 5/3%
16 6/3%
Answer: A
Question: If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers
Choices:
28
48
25
99
Answer: C
Question: On January 1, 2004 two new societies, S1 and S2, are formed, each with n members. On the first day of each subsequent month, S1 adds b members while S2 multiplies its current number of members by a constant factor r. Both the societies have the same number of members on July 2, 2004. If b = 10.5n, what is the value of r?
Choices:
2
1.8
1.7
None
Answer: A
Question: A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
Choices:
1900
19077
19055
19012
Answer: A
Question: Seven different books (A, B, C, D,E,F and G) are to be arranged on a shelf. Books A , B and C are to be arranged first and second starting from the right of the shelf. The number of different orders in which books D,E, F and G may be arranged is
Choices:
4!
16!
28!
42!
Answer: A
Question: The H.C.F. of two numbers is 18 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is:
Choices:
270
299
322
345
Answer: A
Question: Pipe A fills a swimming pool in 4 hours. Pipe B empties the pool in 6 hours. If pipe A was opened at 9:00 am and Pipe B at 10:00 am, at what time will the pool be full?
Choices:
19:00
16:00
18:00
20:00
Answer: A
Question: Sum of ages of two friends is 25 while difference is 3 then their ages are
Choices:
11 years, 14 years
16 years, 20 years
10 years, 16 years
None
Answer: A
Question: If x is even and y is odd, which of the following is odd?
Choices:
5xy
6(x^2)y
5x + 6y
6x + 5y
Answer: D
Question: The average marks of 10 students in a class is 100. But a student mark is wrongly noted as 50 instead of 10 then find the correct average marks?
Choices:
B)82
C)96
D)91
E)85
Answer: B
Question: The difference between the ages of two persons is 10 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of the elder person is
Choices:
30 years
35 years
40 years
None
Answer: B
Question: How many times does the minute hand go round in a day?
Choices:
20
12
26
25
Answer: B
Question: If a man buys 20 lollipops for $90 and sold them for $2 dollars determine his loss.
Choices:
$ 50.
$ 60.
$ 70.
None
Answer: A
Question: A committee has 3 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Choices:
60
882
272
323
Answer: A
Question: In shop contains 500 articles each of a cost of $10. He sold them at a price of $12. If the shop keeper has a order of 200 articles, how much profit he will get?
Choices:
2000
1500
400
600
Answer: C
Question: Last year, the price of a vacation package was P. At the beginning of this year, the price went up 45%. Lucas used a travel voucher to purchase the vacation package at 35% off this year’s price. In terms of P, how much did Lucas pay?
Choices:
0.91*P
0.92*P
0.93*P
0.94*P
Answer: D
Question: For all even integers n, h(n) is defined to be the sum of the even integers between 6 and n, inclusive. What is the value of h(18)/h(10) ?
Choices:
4
6
18
60
Answer: A
Question: A certain article of clothing was discounted during a special sale to 4/5 of its original retail price. When the clothing didn't sell, it was discounted even further to 1/2 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the second sale?
Choices:
33.33%
40%
16.66%
12.5%
Answer: B
Question: Indu gave Bindu Rs.2500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choices:
s.2
s.5
s.3
s.4
Answer: D
Question: The height of the wall is 6 times its width and length of the wall is 7 times its height .if the volume of the wall be 86436 cu.m.its width is
Choices:
5m
6m
7m
8m
Answer: C
Question: If m = 3^n, what is the greatest value of n for which m is a factor of 31!
Choices:
10
12
14
16
Answer: C
Question: A watch was sold at a loss of 12%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
875
1977
2778
2711
Answer: A
Question: A single discount equivalent to the discount series of 30%, 20% and 10% is?
Choices:
31.1
31.6
31.2
49.6
Answer: D
Question: On a sum of money, the simple interest for 2 years is Rs. 330, while the compound interest is Rs. 340, the rate of interest being the same in both the cases. The rate of interest is
Choices:
14.25%
6.06%
10.5%
11.5%
Answer: B
Question: A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B. Which of the following can be the difference of A and B ?
Choices:
44
27
21
91
Answer: B