antoine-444/aqua_rat_dataset huggingface dataset:
Question: Operation#is defined as adding a randomly selected two digit multiple of 12 to a randomly selected two digit prime number and reducing the result by half. If operation#is repeated 10 times, what is the probability that it will yield at least two integers?
Choices:
0%
20%
30%
40%
Answer: A
Question: John had $100 to buy drinks and sandwiches for his birhtday party. He bought 5 small boxes of drinks at $4 each box and 8 boxes of sandwiches at $6 each box. How much money was left after the shopping?
Choices:
$92
$32
$22
$82
Answer: B
Question: mr. depak has $429,774 in his bank account. What is the least amount of money (in whole number of dollars) that he must add to his account if he wants to split this money evenly among her six best friends?
Options:
Choices:
$2
$3
$4
$6
Answer: B
Question: A man and his wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is (1/7) and the probability of wife’s selection is (1/5). What is the probability that only one of them is selected?
Choices:
4/7
5/7
2/7
9/7
Answer: C
Question: In a rectangular coordinate system, points O (2,2), P (2,6), and Q (10,2) represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
Choices:
(5,3)
(3,4)
(6,4)
(5,5)
Answer: C
Question: 8 friends went to a hotel and decided to pay the bill amount equally. But 7 of them could pay Rs. 80 each as a result 8th has to pay Rs. 70 extra than his share. Find the amount paid by him.
Choices:
121
110
160
None
Answer: C
Question: Two identical circles intersect such that their centers and the points at which they intersect form a square of side 1 cm. What is the area of the region where the two circles intersect?
Choices:
pi/2 - 1
1 - pi/4
pi/8 + 1
4 - pi
Answer: A
Question: The population of a city increases by 8% per year but due to migration it decrease by 1% per years. What will be the percentage increase in population in 3 years?
Choices:
9.27%
22.50%
12%
None of these
Answer: B
Question: There are 25 balls in a jar. You take out 5 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/5. How many blue balls were there in the beginning?
Choices:
9.
8.
7.
6.
Answer: A
Question: For every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. For example, f(12)=2x4x6x8x10x12. What is the greatest prime factor of f(26)?
Choices:
19
17
13
11
Answer: C
Question: A double decked bus can accomodate 50 passengers,20 in the upper deck and 30 in the lower deck.In how many ways can the passengers be accomodated if 15 refuse to be in the upper deck while 10 others refuse to be in the lower deck?
Choices:
2. 85!/40!45!
3. 110!/50!60!
4. 25!/10!15!
5. 110!/40!45!
Answer: C
Question: Three persons A, B and C divide a certain amount of money such that A's share is Rs.4 less than half of the total amount. B's share is Rs.8 more than half of what is left and finally C takes the which is Rs.14. Find the total amount they initially had with them?
Choices:
78
80
76
23
Answer: B
Question: There is a cycle race going on in a circular track and 1/5th of the total in front a person and 5/6th of the total behind that person gives up the total number of participants. Total how many participants are there?
Choices:
31
32
33
34
Answer: A
Question: A train of length 250 m crosses a bridge of length 150m in 32 seconds. What is the speed of train?
Choices:
27
25
22
45
Answer: D
Question: In a room filled with 7 people, 3 people have exactly 1 sibling in the room and 4 people have exactly 2 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
Choices:
3/7
4/7
5/7
13/21
Answer: D
Question: If the sum of one-half, one-third and one-fourth of a number exceeds the number itself by 4, what could be the number ?
Choices:
36
72
None of these
Cannot be determined
Answer: C
Question: A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is
Choices:
5%
12%
10%
8%
Answer: B
Question: A sum amount to Rs.1344 in two years at simple interest. What will be the compound interest on the same sum at the same rate of interest for the same period?
Choices:
10.35%
10.25%
14.25%
11.25%
Answer: B
Question: A and B complete a job in 6 days. A alone can do the job in 24 days. If B works alone, how many days will it take to complete the job?
Choices:
8
10
11
12
Answer: A
Question: How many odd three-digit integers greater than 800 are there such that all their digits are different?
Choices:
60
72
81
104
Answer: B
Question: 4 weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 12 weavers in 12 days?
Choices:
18
24
30
36
Answer: D
Question: For 1rs 1p interest
wat will be for 2000rs?
Choices:
50Rs
20Rs
30Rs
48Rs
Answer: B
Question: If the difference of two numbers is 3 and the difference of their square is 39, then the larger number is:
Choices:
8
12
14
13
Answer: A
Question: 10+19
Choices:
29
28
6
2
Answer: A
Question: Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
Choices:
3:5
4:5
6:7
7:8
Answer: B
Question: Ashle and Vinnie work on a sales staff with 8 other salespeople. If five members of the staff will be chosen at random to attend a sales workshop, what is the probability that both Ashle and Vinnie will be chosen?
Choices:
3/28
2/9
1/4
1/2
Answer: B
Question: Population of a city in 20004 was 1000000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 35%, then find the population of city atthe end of the year 2007
Choices:
979923
1009125
2356677
1083875
Answer: B
Question: The ratio between the present ages of A and B is 5:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago?
Choices:
2:1
3:1
4:1
None of these
Answer: B
Question: Abhijit started a business investing 70000. Anuja joined him after six months with an amount of 105000 and Sunil joined them with 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Abhijit, Anuja and Sunil respectively, two years after Abhijit started the business?
Choices:
5 : 9 : 5
8 : 9 : 8
7: 9 : 7
3 : 9 : 4
Answer: B
Question: The population of a bacteria colony doubles every day. If it was started 8 days ago with 4 bacteria and each bacteria lives for 12 days, how large is the colony today?
Choices:
768
1024
131072
409600
Answer: C
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
Choices:
2/213
1/216
2/215
3/211
Answer: B
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
33 0/3%
33 1/3%
37 1/3%
32 1/3%
Answer: B
Question: The average age of a group of 10 students is 14 years. If 5 more students join the group, the average age rises by 1 year. The average age of the new students is:
Choices:
38
11
17
91
Answer: C
Question: A big container is 30% full with water. If 18 liters of water is added, the container becomes 3/4 full. What is the capacity of the big container?
Choices:
40 liters
45 liters
54 liters
60 liters
Answer: A
Question: The average of first 10 odd numbers is?
Choices:
10
99
77
62
Answer: A
Question: There are 24 students in Chadâ€™s class. He brought 26 cookies to pass out
for his birthday. How many cookies will each student get? Will there be
any cookies left over?
Choices:
1-7
2-8
1-2
3-10
Answer: C
Question: if a@b = a * b^(1/2) then 4@9 = ?
self made
Choices:
12
3
8
4
Answer: A
Question: If n is the product of the integers from 1 to 20 inclusive, what is the greatest integer k for which 2k2k is a factor of n?
Choices:
12
15
18
20
Answer: C
Question: A batch of widgets costs p + 15 dollars for a company to produce and each batch sells for p(11 – p) dollars. For which of the following values of p does the company make a profit?
Choices:
8
10
11
12
Answer: A
Question: A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 3/4 of the current inventory is Speedsters, of which 3/5 are convertibles. If there are 30 vehicles that are not Speedsters, how many Speedster convertibles are there?
Choices:
54
60
70
90
Answer: A
Question: A train passes a man standing on the platform. If the train is 150 meters long and its speed is 72 kmph, how much time it took in doing so?
Choices:
6 Â½ sec
9 Â½ sec
8 Â½ sec
7 Â½ sec
Answer: D
Question: A and B started a business by investing Rs.6000 and Rs. 8000, respectively. After 6 months, B withdrew half of his investment. If after one year they get a profit of Rs.4000 then what is B's share?
Choices:
Rs.2000
Rs.3000
Rs.5000
None of the above
Answer: A
Question: The average score of a cricketer in 2 matches is 30 and in other 3 matches is 40. Then find the average score in all the 5 matches?
Choices:
27
30
35
36
Answer: D
Question: find missing number
-5 1 -11 23 29 17 -20 -14,?
Choices:
-26
-28
-29
-30
Answer: A
Question: A vantakes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
60 Kmph
62 Kmph
64 Kmph
66 Kmph
Answer: A
Question: If a/b = 5/4, Then (4a + 3b) / (4a - 3b) = ?
Choices:
6
3
5
4
Answer: D
Question: (0.756 x 3/4) terms of rate percent is equivalent to ?
Choices:
37.8%
56.7%
75%
None
Answer: B
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Choices:
23.52 cm
23.51 cm
23.37 cm
23.57 cm
Answer: D
Question: On dividing 15698 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor?
Choices:
154
852
176
785
Answer: C
Question: How many days are there in x weeks x days?
Choices:
8x
7
7x
8
Answer: A
Question: If b = 4p, where p is a prime number greater than 2, how many different positive even divisors does b have, including b ?
Choices:
Three
Four
Six
Eight
Answer: B
Question: In a class there are 10 boys and 15 girls. In how many ways can a boy and a girl be selected?
Choices:
150
600
530
630
Answer: A
Question: Average of 10 numbers is zero. At most how many numbers may be greater than zero
Choices:
1
5
9
10
Answer: C
Question: The area of a square is equal to five times the area of a rectangle of dimensions 32 cm *10 cm. What is the perimeter of the square?
Choices:
160 cm
829 cm
288 cm
289 cm
Answer: A
Question: The average weight of 10 men is increased by 1 ½ kg when one of the men who weighs 58 kg is replaced by a new man. What is the weight of the new man?
Choices:
73 kg
70 kg
75 kg
85 kg
Answer: A
Question: A cycle is bought for Rs.900 and sold for Rs.1160, find the gain percent?
Choices:
29
99
77
18
Answer: A
Question: The ratio of male to female in a class is 2:7. 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 one third of the males and two-third of the females in the class?
Choices:
b) 168 degree
c)191 degree
d)192 degree
e)213 degree
Answer: D
Question: Two trains 100 meters and 120 meters long are running in the same direction with speeds of 72 km/hr, 54 km/hr In how much time will the first train cross the second
Choices:
40 sec
44 sec
46 sec
48 sec
Answer: B
Question: What is the remainder when 135^77 is divided by 7 ?
Choices:
1
2
3
4
Answer: D
Question: Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance?
Choices:
1 hour 82 minutes
2 hour 12 minutes
1 hour 12 minutes
1 hour 62 minutes
Answer: C
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
10 kmph
29 kmph
25 kmph
16 kmph
Answer: A
Question: A die is thrown three times. Events X and Y are defined as below:
X : 4 on the third throw
Y : 6 on the first and 5 on the second throw
What is the probability of X given that Y has already occurred.
Choices:
1/6
2/3
2/5
3/5
Answer: A
Question: A man can swim in still water at 3 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1
5.3
1.5
5.2
Answer: A
Question: How many positive integers less than 130 are there such that they are multiples of 13 or multiples of 12 but not both?
Choices:
18
20
24
28
Answer: B
Question: Find the lowest common multiple of 24, 30 and 40.
Choices:
420
120
320
280
Answer: B
Question: If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is
Choices:
54.68
54.6
54.58
54.9
Answer: A
Question: Find the LCM of 23,46,827
Choices:
83
23
827
None of these
Answer: A
Question: A man can row 3 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
2.8
2.4
2.8
2.2
Answer: B
Question: Solution X is 20% chemical A and 80% chemical B by volume; Solution Y is 30% chemical A and 70% chemical B. If a mixture of X and Y is 22% chemical A, what percent of the mixture is Solution X?
Choices:
44%
50%
80 percent
90%
Answer: C
Question: Pipe A and pipe B fill water into a tank of capacity 2000 litres, at a rate of 200 l/min and 50 l/min. Pipe C drains at a rate of 25 l/min. Pipe A is open for 1 min and closed, then pipe B is open for 2 min and closed. Further the pipe c is opened and drained for another 2 min. This process is repeated until the tank is filled. How long will it take to fill the tank?
Choices:
18 min
25 min
32 min
40 min
Answer: D
Question: 2 pipes P1 and P2 together can fill a tank in 6 hrs and P3 alone can fill the tank in 10 hrs if they work together what is the time taken to fill the tank?
Choices:
9/4 hrs
13/4 hrs
15/4 hrs
16/4 hrs
Answer: C
Question: Three candidates contested an election and received 561, 716 and 1111votes respectively. What percentage of the total votes did the winning candidate got?
Choices:
46%
50%
25%
62%
Answer: A
Question: The total of the ages of Jayant, Prem and Saransh is 75 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of Jayant?
Choices:
20 years
34 years
38 years
None
Answer: A
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Choices:
7 7/2 sec
7 1/8 sec
7 1/2 sec
7 3/2 sec
Answer: C
Question: Laura has a deck of standard playing cards with 14 of the 70 cards designated as aheart.If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?
Choices:
12/42
5/26
1/5
13/42
Answer: C
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is
Choices:
278
245
397
252
Answer: B
Question: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Choices:
1/3
7/19
8/21
9/21
Answer: A
Question: If |z|/w = 2, which of the following must be true?
Choices:
z = 2w
z^2 = 4w^2
z^2 = 4w^3
z^3 = 8w^3
Answer: B
Question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Choices:
15 kmph
75 kmph
18 kmph
87 kmph
Answer: A
Question: The ratio of the ages of Mona and Sona is 4:5. Twelve years hence, their ages will be in the ratio of 5:6. What will be Sona's age after 6 years?
Choices:
10
12
14
66
Answer: D
Question: Following an increase in prices, the price of a candy box was 10 pounds and the price of a can of soda was 6 pounds. If the price of a candy box was raised by 25%, and the price of a can of soda was raised by 50%. What was the price of a box of candy plus a can of soda before prices were raised?
Choices:
12
13
14
14.5
Answer: A
Question: Find the odd man out
864, 420, 200, 85, 40, 16, 6
Choices:
85
16
40
6
Answer: A
Question: On a counter of a donuts store, there are only 16 identical donuts, 11 filled with chocolate and 5 filled with jelly, but the seller tells me that the donuts are randomly placed on the counter. If would want to buy two, what is the probability that I choose one donuts of each flavor?
Choices:
1/32
11/12
11/48
11/24
Answer: D
Question: Bob bikes to school every day at a steady rate of d miles per hour. On a particular day, Bob had a flat tire exactly halfway to school. He immediately started walking to school at a steady pace of y miles per hour. He arrived at school exactly t hours after leaving his home. How many miles is it from the school to Bob's home?
Choices:
2(d + t) / dy
2dyt / (d + y)
2(d + y + t) / dy
x(y + t) + y(x + t)
Answer: B
Question: A can complete a certain job in 16 days. B is 60% more efficient than A. In how many days can B complete the same job?
Choices:
6.25
7
7.5
10
Answer: D
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
10
11
9
8
Answer: B
Question: A train covers a distance of 12 km in 10 min. If it takes 4 sec to pass a telegraph post, then the length of the train is?
Choices:
110
120
80
60
Answer: C
Question: A factory makes 134,341 jam packets which need to be placed in boxes and each box can contain at most 9 packets.How many packets will be in the last unfilled box?
Choices:
2 packets
3 packets
4 packets
5 packets
Answer: A
Question: A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit
Choices:
Rs.1230
Rs.1260
Rs.1290
None of these
Answer: B
Question: If two numbers are in the ratio 4:3. If 10 is added to both of the numbers then the ratio becomes 5:4 then find the biggest number.
Choices:
80
70
40
100
Answer: A
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Choices:
1.5
1.2
1.9
1.3
Answer: A
Question: Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 50 cms?
Choices:
476
119
208
276
Answer: B
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 13 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is
Choices:
345600
153600
154000
154200
Answer: A
Question: If n = 3 x 4 x p, where p is a prime number greater than 3, how many different positive non-prime divisors does n have, excluding 1 and n?
Choices:
Seven
Eight
Nine
Ten
Answer: A
Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Choices:
46 sec
48 sec
65 sec
64 sec
Answer: B
Question: A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 10 pounds of the body weight, by what percent was the prescribed dosage lesser than the typical dosage?
Choices:
-37.5%
11%
12.5%
14.8%
Answer: A
Question: Ganesh ,Ram and Sohan together can do a work in 16 days. If Ganesh and Ram together can do a the same work in 24 days then, how long will take Sohan to do the same work?
Choices:
48
68
78
100
Answer: A
Question: Five boys picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical?
Choices:
B)2^30
C)1^30
D)3^30
E)5^30
Answer: D
Question: The prices of tea and coffee per kg were the same in june. In july the price of coffee shot up by 20% and that of tea dropped by 20%. if in july , a mixture containing equal quantities of tea and coffee costs 40/kg. how much did a kg of coffee cost in june ?
Choices:
40
80
100
120
Answer: A
Question: A florist is making a bouquet of flowers. The florist has 12 different flowers to choose from to make the bouquet. The bouquet will be made of 6 different flowers. What is the probability the florist will choose a rose, a tulip, and a lilie?
Choices:
3/55
111/112
1/5
3/308
Answer: D
Question: If two sides of a triangle are 6 and 13, respectively, which of the following could NOT be the area of this triangle?
Choices:
40
17
29
38
Answer: A
Question: A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 136, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?
Choices:
24
55
77
88
Answer: A
Question: Simplify: 100 x 100 - 50 x 50
Choices:
7614
7500
7615
None of them
Answer: B
Question: Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes and his sister’s time is currently 8 minutes 30 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister?
Choices:
15%
8%
10%
12%
Answer: A
Question: An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4?
Choices:
1/2
3/4
1/6
1/9
Answer: A
Question: Rectangular Floors X and Y have equal area. If Floor X is 18 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?
Choices:
18
18 3/4
21
36
Answer: D
Question: Mahesh and suresh are ranked 31th and 32th respectively form the top in a class of 41 Students. What will be their respective ranks from the bottom ?
Choices:
11th and 12th
12th and 13th
10th and 11th
10th and 12th
Answer: C
Question: find the smallest number in GP whose sum is 38 and product is 1728
Choices:
6
7
8
9
Answer: C
Question: If YWUSQ is 25 - 23 - 21 - 19 - 17 then MKIGF is
Choices:
1 - 2 - 3 - 5 - 7
7 - 8 - 4 - 5 - 3
13 - 11 - 9 - 7 - 6
None
Answer: C
Question: David obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics,Physics, Chemistry and Biology What are his average marks ?
Choices:
75
87
165
11
Answer: A
Question: If it is assumed that 62 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?
Choices:
420
480
483.8
600
Answer: C
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Choices:
79.0
79.4
79.2
79.3
Answer: C
Question: A small company is planning to rent either computer A or computer B to print customer mailing lists. Both computer A and computer B must be rented on an hourly basis. The rental fee is based only on the amount of time the computer is turned on. It will cost 40 percent more per hour to rent computer A than to rent computer B. Computer B would, however, require 20 hours more than computer A to do the job. If either computer A, or computer B were rented the total cost to rent the computer would be $550.00. What would be the approximate hourly charge to rent computer B?
Choices:
$7.85
$13.20
$17.80
$22.10
Answer: A
Question: Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 6 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?
Choices:
R/(R+4)
R/(R-12)
8/(R-8)
2R - 4
Answer: B
Question: A train covers a distance of 90 km in 20 min. If it takes 9 sec to pass a telegraph post, then the length of the train is?
Choices:
675
685
690
695
Answer: A
Question: Jane and Thomas are among the 7 people from which a committee of 3 people is to be selected. How many different possible committees of 3 people can be selected from these 7 people if at least one of either Jane or Thomas is to be selected?
Choices:
25
30
35
40
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Choices:
20/2 sec
20/7 sec
40/9 sec
20/1 sec
Answer: B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choices:
12/455
9/31
48/75
89/121
Answer: A
Question: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Choices:
50 sec
55
44
11
Answer: A
Question: Sam invested $1000 @20% per annum for one year. If the interest is compounded half yearly, then the amount received by Sam at the end of the year will be?
Choices:
$1145
$1210
$1642
$1020
Answer: B
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
Choices:
4000
4050
5000
6000
Answer: A
Question: A batsman makes a score of 50 runs in the 17th inning and thus increases his averages by 2. What is his average after 17th inning?
Choices:
18
42
40.5
41.5
Answer: A
Question: The average age of A, B and C is 25 years. If the average age of A and C is 29 years, what is the age of B in years ?
Choices:
17
20
32
21
Answer: A
Question: Average of 15 results is 43. If the average of first seven results is 41 and average of last seven results is 45 Then find the eighth result?
Choices:
39
43
45
47
Answer: B
Question: A character lock consists of three rings each marked with six different characters. The number of distinct unsuccessful attempts to open the lock is at the most ?
Choices:
215
235
255
245
Answer: A
Question: The population of a town is 8000. It decreases annually at the rate of 10% p.a. What was its population 2 years ago?
Choices:
9876
8500
9500
10000
Answer: A
Question: In an election between two candidates, the first candidate got 80% of the votes and the second candidate got 480 votes. What was the total number of votes?
Choices:
1800
2000
2200
2400
Answer: D
Question: The Shopkeeper increased the price of a product by 20% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?
Choices:
B)13%
C)13.15%
D)12%
E)15%
Answer: C
Question: The ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by three chemists is 1:4. The amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 :25 is
Choices:
6.625 kg
6.25 kg
6.35 kg
8.8 kg
Answer: D
Question: Three seventh of a number is 12 more than 40% of that number. What will be the 10% of that number?
Choices:
B)210
C)21
D)248
E)258
Answer: B
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 7 sec. What is the length of the fast train?
Choices:
27 7/5
27 7/2
350/9
27 7/1
Answer: C
Question: A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number.
He was afraid of forgetting his PIN. He wrote down the number 123 in his diary to remember his PIN. He also wrote out the way to calculate 123 : "Multiply the card number by PIN. Divide the product by 997. The remainder is 123".
Once, Prafull saw his diary in which Pinaki wrote this number 123. Prafull did a lot of purchasing, as he now knows Pinaki's PIN. What is Pinaki's PIN?
Choices:
874
876
877
None
Answer: A
Question: A candidate who gets 40% of the marks fails by 40 marks. But another candidate who gets 60% marks gets 20 marks more than necessary for passing. Find the number of marks for passing?
Choices:
200 Marks
160 Marks
371 Marks
827 Marks
Answer: B
Question: If a and b are odd numbers, then which of the following is even ?
Choices:
a + b
ab
ab + 2
None of these
Answer: A
Question: In a group of dogs and peacocks, the number of legs are 18 less than four times the number of heads How many peacocks are there in that group?
Choices:
9
7
6
5
Answer: A
Question: Convert the following unit:
8 hectares in mÂ²
Choices:
70000 mÂ²
80000 mÂ²
85000 mÂ²
90000 mÂ²
Answer: B
Question: A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?
Choices:
561/784
175/256
362/785
634/563
Answer: B
Question: A man buy a book in Rs50 & sale it Rs50. What is the rate of profit ???
Choices:
0%
30%
25%
28%
Answer: A
Question: Tough and Tricky questions: Combinations.
eight contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Choices:
7
12
16
24
Answer: D
Question: Three female friendsthree male friends will be pictured in a advertising photo. If the photographer wants to line them up in one row, with menwomen alternating. How many possible arrangements may she chose?
Choices:
1680
1152
576
72
Answer: D
Question: A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Choices:
Rs 1075
Rs 1190
Rs 1210
Rs 1810
Answer: B
Question: An bus covers a certain distance at a speed of 280 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Choices:
720 km/hr
730 km/hr
840 km/hr
760 km/hr
Answer: C
Question: Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, the number of words which have at least one letter repeated is:
Choices:
69760
99748
42386
None
Answer: A
Question: In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what W percentage of those asked favoured more than one of the 3 proposals.
Choices:
12
17
22
30
Answer: B
Question: A shopkeeper loses 15%,if an article is sold for Rs. 187. What should be the selling price of the article to gain 20%?
Choices:
s.248
s.264
s.329
s.412
Answer: B
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.65000?
Choices:
81007
81008
81066
82265.6
Answer: D
Question: The average of first four prime numbers greater than 30 is?
Choices:
38
30
40
50
Answer: A
Question: 1/3, 1/2, 1/4, 2 1/3, 3 1/2, 4 1/4, 4 1/3, 6 1/2, ?
Choices:
8 1/4
8 1/2
8 1/3
6 1/4
Answer: A
Question: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the larger wheel has made 24 revolutions, then the number of revolutions made by the smaller wheel is:
Choices:
24
48
56
43
Answer: C
Question: Two family reunions are happening at the Leela hotel, the Oates reunion and the Hall reunion. All 100 guests at the hotel attend at least one of the reunions. If 50 people attend the Oates reunion and 62 people attend the Hall reunion, how many people attend both reunions?
Choices:
5
12
16
22
Answer: B
Question: The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 3:5:7, the price of the cheapest item is
Choices:
2090
9028
9000
9202
Answer: C
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 27 years, then how old is Bruce ?
Choices:
10 years
12 years
14 years
16 years
Answer: A
Question: The average marks of a class of 25 students is 40 and that of another class of 30 students is 60. Find the average marks of all the students?
Choices:
52.4
52.1
50.9
52.9
Answer: C
Question: If x and y are positive integers, and 1 is the greatest common divisor of x and y, what is the greatest common divisor F of 2x and 3y?
Choices:
F=Cannot be determined
F=2
5
6
Answer: A
Question: What is the value of (log2 3)(log3 4)(log4 5)...(log63 64)?
Choices:
2
5/2
6
32
Answer: C
Question: The sum of the first 50 positive even integers is 2550. What is the sum E of even integers from 102 to 200 inclusive?
Choices:
7550
10100
15500
20100
Answer: A
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 68 years now, the son's age five years back was:
Choices:
17
19
29
24
Answer: C
Question: Each of X alarm tolls at regular intervals. All of them tolls together twelve times a day. No two alarm at equal intervals of time. If each alarm tolls after a whole number of minutes, what is the maximum possible value of X?
Choices:
16
18
20
22
Answer: A
Question: The winning relay team in a high school sports competition clocked 48 minutes for a distance of 13.2 km. Its runners A, B, C and D maintained speeds of 16 kmph, 17 kmph, 18 kmph, and 19 kmph respectively. What is the ratio of the time taken by B to than taken by D?
Choices:
19:17
9:8
8:9
None of these
Answer: A
Question: A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
Choices:
1478
1480
14000
1500
Answer: C
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 B?
Choices:
Rs.3600
Rs.2500
Rs.3100
Rs.2100
Answer: B
Question: A town's oldest inhabitant is x years older than the sum of the ages of the Lee triplets. If the oldest inhabitants is now J years old, how old will one of the triplets F be in 20 years?
J-X-40/3 is my answers.
J = X + L + L + L is the initial situation
After 20 years
J + 20 = X + L + L + L + 60 ...20 years for each triplet so 60 years totally.
J - X - 40/ 3 = L is my answer.
What wrong am i doing ? Since the age asked is after 20 years i also consider adding 20 years to J .
Choices:
3(J + 20)/x
(J + x - 50)/3
(J - x + 60)/3
(J + x - 20)/3
Answer: C
Question: A 3" cube is painted in all its faces and then it is cut down into 1" blocks. How many 1" blocks
are there even without a single face being painted?
Choices:
1
2
3
4
Answer: A
Question: What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
Choices:
77 ways
30 ways
11 ways
87 ways
Answer: B
Question: The volume of a sphere with radius r is (4/3)*pi*r^3 and the surface area is 4*pi*r^3. If a sperical balloon has a volume of 36 pi cubic centimeters, what is hte surface area of the balloon in square centimeters?
Choices:
b. 100
c. 400
d. 1,000
e. 10,000
Answer: A
Question: The ratio of men to women in a class is 6 to 5. If 6 men and 6 woman drop out of the class and the ratio of men to women after the drop out is 4 to 3, then how many men are currently in the class?
Choices:
11
14
15
12
Answer: D
Question: A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?
Choices:
B)0.76D
C)0.765D
D)0.775D
E)0.805D
Answer: B
Question: What is the value of 4^4+4^6?
Choices:
4^35
17(4^5)
8^12
17(4^4)
Answer: D
Question: 15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 5 hrs. each would it take for 21 women if 3 women do as much work as 2 men?
Choices:
20
16
26
36
Answer: D
Question: There are 51 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
Choices:
7
17
21
27
Answer: C
Question: A certain collage has total of 200 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?
Choices:
80
25
60
50
Answer: B
Question: Look at this series: 1.5, 2.3, 3.1, 3.9, ... What number should come next?
Choices:
4.7
6.7
8.9
9.2
Answer: A
Question: If n is an integer and n^4 is divisible by 5, which of the following could be the remainder when n is divided by 5?
Choices:
2
3
4
5
Answer: D
Question: The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $8.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of x(2^1/2) - x cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
Choices:
$8.40
$5.30
$5.50
$5.60
Answer: A
Question: A train 132 m long pass a telegraph pole in 6 seconds. Find the speed of the train
Choices:
68.4 km/hr
72 km/hr
79.2 km/hr
None
Answer: C
Question: If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is :
Choices:
2.5 km/hr
5 km/hr
10.5 km/hr
None of these
Answer: A
Question: A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Choices:
2 1/2 hours
2 7/2 hours
4 1/2 hours
2 1/5 hours
Answer: A
Question: Consider the sequence of numbers beginning 23, 27, 28, 32, 33... It continues in such a way that by adding 5 to the nth term, one obtains the (n + 2)th term. What is the sum of the first 16 members of this sequence?
Choices:
680
788
928
1022
Answer: A
Question: If a number between 10 and 60 (inclusive) at random. What is the probability that the tens digit is greater than ones digit?
Choices:
1041
14/41
16/51
11/41
Answer: C
Question: When x is divided by y, the quotient is s with remainder r. Which of the following is y in terms of r, x, and s? (Assume both y and s are nonzero.)
Choices:
(x+r)/s
x/s−r
(x−r)/s
xr – s
Answer: C
Question: The original price of a camera was displayed as a whole dollar amount. After adding sales tax of 10 percent, the final price was also a whole dollar amount. Which of the following could be the final price of the camera?
Choices:
$209
$211
$213
$215
Answer: A
Question: Given that a “12-inch pizza” means circular pizza with a diameter of 12 inches, changing from an 4-inch pizza to a 12-inch pizza gives you approximately what percent increase in the total amount of pizza?
Choices:
500
670
800
125
Answer: C
Question: A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days. If it was set right on Friday at 10 AM, what will be the time at the end of 10 days?
Choices:
10:54:24 AM
11:16:40 AM
10:54:40 AM
11:06:36 AM
Answer: A
Question: A train 125 m long passes a man, running at 3 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
17 km/hr
76 km/hr
50 km/hr
48 km/hr
Answer: D
Question: Let a, b, c be distinct digits. Consider a two-digit number ‘ab’ and a three-digit number ‘ccb’, both defined under the usual decimal number system, if (ab)2= ccb > 300, then the value of b is
Choices:
1
5
6
7
Answer: A
Question: Can you find the missing number in the sequence given below?
10 17 24 11 18 ? 12 19 26 13 20 27
Choices:
25
20
18
19
Answer: A
Question: A fort of 2000 soldiers has provisions for 50 days. After 10 days some of them left and the food was now enough for the same period of 50 days as before. How many of them left?
Choices:
400
266
121
158
Answer: A
Question: In how many different ways can 4 physics, 2 math, and 4 chemistry books be arranged in a row so that all books of the same subject are together?
Choices:
6912
7782
8132
9452
Answer: A
Question: How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30
40
45
35
Answer: A
Question: A tin is full of wine. Out of this tin, 4 gallons of wine are taken out and 4 gallons of water are added. After this 4 gallons of mixture were taken out and again 4 gallons of water were added. Now the ratio of wine and water in the tin becomes 36:13. Find the volume of tin.
Choices:
26
27
28
29
Answer: C
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
Choices:
4000
4050
5000
5050
Answer: A
Question: A jar of 220 marbles is divided equally among a group of marble-players today. If 2 people joined the group in the future, each person would receive 1 marble less. How many people are there in the group today?
Choices:
20
22
23
24
Answer: A
Question: How long does a train 110 meters long running at the speed of 72 km/hour take to cross a bridge 132 meters in length ?
Choices:
12.1 seconds
17.1 seconds
12.9 seconds
11.1 seconds
Answer: A
Question: The time it took car P to travel 800 miles was 2 hours less than the time it took car R to travel the same distance. If car P’s average speed was 10 miles per hour greater than that of car R, what was car R’s average speed, in miles per hour?
Choices:
58
60
70
80
Answer: A
Question: The total cars in a Garage is 1000 out of which 500 are made by Honda. Out of every 100 Honda cars, 90 are red in color, but only 50% of the total cars is red. Find the % of non-Honda cars that are red
Choices:
10%
30%
25%
15%
Answer: A
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
Choices:
25%
115%
75%
55%
Answer: A
Question: How long will it take a sum of money invested at 5% p.a. S.I. to increase its value by 100%?
Choices:
16 years
25 years
20 years
18 years
Answer: C
Question: Of the three-digit integers greater than 400, how many have two digits that are equal to each other and the remaining digit different from the other two?
Choices:
82
80
45
36
Answer: D
Question: A worker's daily wage is increased by 50% and the new wage is $42 per day. What was the worker's daily wage before the increase?
Choices:
$24
$28
$32
$36
Answer: B
Question: Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
Choices:
22 min
21 min
20 min
28 min
Answer: D
Question: In a partnership for a business, Jay invests Rs.6000 for complete year & Viru invests Rs.3000 for 6 months. What is Viru’s share if they earn Rs.240 as profit?
Choices:
80
192
48
56
Answer: C
Question: The smallest 6 digit number exactly divisible by 111 is?
Choices:
100010
100011
100015
100017
Answer: B
Question: Two same class students appeared at an examination. One of them secured 9 marks more than the other and her marks was 56% of the sum of their marks. What are the marks obtained by them?
Choices:
42,33
50,40
55,45
30,40
Answer: A
Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
8 sec
2 sec
6 sec
9 sec
Answer: C
Question: What is the different between the place value and face value of 6 in the numeral 5468?
Choices:
54
60
36
44
Answer: A
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
Choices:
23.87 cm
23.37 cm
22.57 cm
23.57 cm
Answer: D
Question: What is the difference between the place value of 2 in the numeral 7229?
Choices:
160
180
190
200
Answer: B
Question: A certain list consists of 21 different numbers. If n is in the list and n is 8 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
Choices:
1/6
2/7
4/21
5/21
Answer: B
Question: What is the area of a square field whose sides have a length of 16 meters?
Choices:
286 sq m
298 sq m
256 sq m
231 sq m
Answer: C
Question: Express a speed of 56 kmph in meters per second?
Choices:
05 mps
09.1 mps
12 mps
15.5 mps
Answer: D
Question: The ratio of ages of A and B 1 year ago was 3:4.After 1 year it will be 5:6.what is the present age of A.
Choices:
2
3
4
5
Answer: C
Question: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
Choices:
2/5
8/15
9/20
20/9
Answer: D
Question: In an examination, 20% of total students failed in Hindi, 70% failed in English and 10% in both. The percentage of these who passed in both the subjects is :
Choices:
20%
30%
40%
50%
Answer: A
Question: A can do a job in 9 days and B can do it in 27 days. A and B working together will finish twice the amount of work in ------- days?
Choices:
18 days
22 6/2 days
27 days
9 days
Answer: A
Question: A ladies hostel had provision of food for 300 women for 45 days. After 10 days, 25 women left the hostel. The number of days for which the remaining food will last is:
Choices:
39.18
38.78
38.0
38.18
Answer: D
Question: If the number 992,132,24x is divisible by 11, what must be the value of x?
Choices:
2
3
4
0
Answer: D
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:
77
16
12
10
Answer: C
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
28
48
277
12
Answer: B
Question: If the length of a rectangle is halved and its breadth is tripled, what is the percentage change in its area?
Choices:
25% decrease
50% increase
50% decrease
None
Answer: C
Question: Frank is 12 years younger then John. In 5 years John will be twice as old as Frank. How old will Frank be in four years?
Choices:
11
12
14
16
Answer: A
Question: How many such 3's are there in the following number sequence which are immediately Preceded by an odd number and immediately followed by an even number ? 5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6
Choices:
2
3 three
4
More than four
Answer: B
Question: Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
Choices:
11
13
15
17
Answer: C
Question: By investing in 1623% stock at 64, one earns Rs. 1700. The investment made is
Choices:
s. 7500
s. 5640
s. 6528
s. 6760
Answer: C
Question: At a circular table for eight will sit six adults and two small children. The two children will sit next to each other, and the two parents of the children will sit next to the children so that there is one parent on each side of the two children. If rotating their positions around the table is not considered changing the arrangement, in how many different ways can the eight people be arranged around the table.
Choices:
96
1440
5040
4032
Answer: A
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Choices:
690
698
700
720
Answer: B
Question: Robert ate 12 chocolates, Nickel ate 3 chocolates. How many more chocolates did Robert ate than nickel?
Choices:
B)7
C)9
D)5
E)2
Answer: B
Question: One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,00,000 as total savings, how much has he saved in Public Provident Fund ?
Choices:
40000
50000
75000
90000
Answer: A