antoine-444/aqua_rat_dataset huggingface dataset:
Question: Find the surface area of a cuboid 8 m long, 6 m broad and 10 m high
Choices:
376 sq.cm
516 sq.cm
400 sq.cm
None of these
Answer: A
Question: A pump can fill a tank with a water in 2 hours. Because of a leak, it took 4 hours to fill the tank. The leak can drain all the water of the full tank in how many hours?
Choices:
3
4
5
6
Answer: B
Question: A train leaves Mumabai at 9 am at a speed of 45 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 90 kmph. When and at what distance from Mumbai do the two trains meet?
Choices:
279
90
278
379
Answer: B
Question: On the number line, the number p is twice as many units from -2 as -2 is from 3. If p is less than –2, what is the value of p ?
Choices:
–12
–6
10
14
Answer: A
Question: What is the smallest integer x for which 27^x > 3^24?
Choices:
8
9
10
12
Answer: B
Question: Walking at 50% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance?
Choices:
24
42
48
54
Answer: A
Question: A boy is travelling from his home to school at 6km/hr and reached 7min late. Next day he travelled at 12km/hr and reached 8min early. Distance between home and school?
Choices:
3km
4km
5km
6km
Answer: A
Question: In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?
Choices:
8*9!
5*5!
9!
10*8!
Answer: A
Question: Angelina walked 200 meters from her home to the grocery at a constant speed. She then walked 300 meters to the gym at double the speed. She spent 50 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?
Choices:
2
4
6
12
Answer: A
Question: A volunteer organization is recruiting new members. In the fall they manage to increase their number by 7%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring?
Choices:
15.55%
14.44%
13.33%
12.22%
Answer: C
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
Choices:
200
282
202
270
Answer: A
Question: The average age of 'a' boys is ‘b’ years and of ‘n’ girls ‘c’ years. The average age of all together is?
Choices:
(ab + nc)/ (a - n) years
(ab + nc)/ (a + n) years
(ab – nc)/ (a - n) years
None of these
Answer: B
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choices:
18/35
18/19
18/10
18/31
Answer: A
Question: A cycle is bought for Rs.900 and sold for Rs.1350, find the gain percent?
Choices:
20%
23%
50%
83%
Answer: C
Question: a person travels from his house to office from 11:00am to 11:30 am and covers a distance of 20km. find the average speed of the person.
Choices:
20.5km/h
21.1km/h
10km/h
20.9km/h
Answer: C
Question: If books bought at prices ranging from Rs. 90 to Rs. 190 are sold at prices ranging from Rs. 120 to Rs 260, what is the greatest possible profit that might be made in selling 21 books ?
Choices:
Rs. 3000
Rs. 3570
Rs. 3200
Rs. 3600
Answer: B
Question: A’s speed is 20/13 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Choices:
3/17
1/10
7/20
3/10
Answer: C
Question: Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 12km/hr, then find the area of square field.
Choices:
81
325
425
None of these
Answer: A
Question: In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
Choices:
52
67
89
90
Answer: A
Question: There are n members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 45 possible combinations in which Michael is not selected, what is the value of n?
Choices:
11
15
18
22
Answer: A
Question: If U is a negative integer and K is a positive integer, which of the following could be the standard deviation of a set {-7, -5, -3, U, 0, 1, 3, K, 7}?
I. -1.5
II. -2
III. 0
Choices:
II only
III only
I and III only
None
Answer: D
Question: Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choices:
6.6%
5.6%
1.6%
4.6%
Answer: B
Question: A team won 50 percent of its first 60 games in a particular season, and 80 percent of its remaining games. If the team won a total of 65 percent of its games that season, what was the total number of games that the team played?
Choices:
120
90
85
70
Answer: A
Question: Brand A coffee costs twice as much as brand B coffee. If a certain blend is 1/4 brand A and 3/4 brand B. what fraction of the cost of the blend is Brand A?
Choices:
2/5
1/2
2/3
3/4
Answer: A
Question: A rickshaw dealer buys 30 rickshaws for Rs. 4725. Of these, 8 are four-seaters and the rest are two seaters. At what price must he sell the four-seaters so that if he sells the two-two seaters at 3/4th of this price, he makes a profit 40% on his outlay?
Choices:
Rs. 279
Rs. 360
Rs. 450
None of these
Answer: A
Question: The probability of two events A and B are0.25 and 0.35 respectively. The probability that both A and B occur is 0.15. The probability that neither A nor B occur is _________
Choices:
0.55
0.5
0.05
0.6
Answer: A
Question: A software engineer starts from home at 3pm for every walk on a route which has level road for some distance and a then a hillock.he walks speed of 4kmph on level ground and then at a speed of 3kmph on the uphill and then down the hill at a speed of6kmph to the level ground and then at a speed of 4kmph to the home if he reaches home at 9pm.what is the distance one way of his route?
Choices:
12km
18km
24km
Data Inadequate
Answer: A
Question: A and B can do a piece of work in 10 days, B and C in 5 days, C and A in 15 days. How long will C take to do it?
Choices:
55 days
12 days
33 days
11 days
Answer: B
Question: If X> 0 and X is divisible by the product of the first nine positive integers, all of the following must be factors of X except
Choices:
40
63
315
704
Answer: D
Question: Company Z has 50 employees. If the number of employees having birthdays on Wednesday is more than the number of employees having birthdays on any other day of the week, each of which have same number of birth-days, what is the minimum number of employees having birthdays on Wednesday.
Choices:
7
8
9
12
Answer: D
Question: If a and b are consecutive integers (b>a), which of the following statements could be false?
1. The multiplication a+b is an even number.
2. (b/a) > 1.
3. (a + b) is always an odd number.
Choices:
2 only.
1 and 2 only.
1 and 3 only.
1, 2 and 3.
Answer: B
Question: The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 10 million bacteria in the dish at 2: 00 p.m., at what time will there be 22.5 million bacteria in the dish?
Choices:
6: 00 p.m.
6: 00 a.m.
8: 00 a.m.
10: 00 a.m.
Answer: A
Question: A train 284 m in length crosses a telegraph post in 18 seconds. The speed of the train is?
Choices:
55 kmph
57 kmph
58 kmph
76 kmph
Answer: B
Question: In a theatre the ratio of car & two wheeler is 1:8. Total Number of tyres are 100. Find how many are cars and how many are two wheelers?
Choices:
30
40
50
60
Answer: B
Question: A boat can travel with a speed of 22 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 54 km downstream
Choices:
4 hours
3 hours
2 hours
None of these
Answer: C
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 50, the dividend is:
Choices:
5334
6300
6356
6400
Answer: B
Question: A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
Choices:
2 1/4
2 1/0
2 1/2
2 1/1
Answer: A
Question: What is the value of 17^2 + 18^2 + 19^2 + 20^2 + 21^2 + 22^2 + 23^2 ?
Choices:
2808
2818
2828
2838
Answer: C
Question: P and Q started a business by investing Rs.4400/- and Rs.5500/- respectively. Find the P’s share out of a total profit of Rs.2700:
Choices:
1000
1200
1400
1600
Answer: B
Question: In honor of the year 2013, a donor has purchased 2016 books to be distributed evenly among the elementary schools in a certain school district. If each school must receive the same number of books, and there are to be no books remaining, which of the following is NOT a number of books that each school could receive?
Choices:
36
42
52
56
Answer: C
Question: Seven people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Choices:
1/8
1/3
1/6
1/9
Answer: C
Question: A classroom has equal number of boys and girls. 6 girls left to play kho-kho, leaving twice as many boys as girls in the classroom. What was the total number of girls and boys present initially?
Choices:
24
32
48
54
Answer: A
Question: A man can row 6 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. How far is the place?
Choices:
2.88
2.29
2.24
2.97
Answer: A
Question: A tailor trims 11 feet from opposite edges of a square piece of cloth, and 7 feet from the other two edges. If 84 square feet of cloth remain, what was the length of a side of the original piece of cloth?
Choices:
27
28
29
30
Answer: B
Question: If −2≤q≤0 and n > 19, which of the following CANNOT be the value of qn?
Choices:
-38
-20
0
19
Answer: D
Question: If sequence T is defined for all positive integers n such that t(n +1) = t(n) + n, and t 3 = 14, what is t 22?
Choices:
187
191
201
242
Answer: D
Question: 36 welders work at a constant rate they complete an order in 3 days. If after the first day, 12 welders start to work on the other project, how many more days the remaining welders will need to complete the rest of the order?
Choices:
3
8
4
6
Answer: A
Question: Rohan spends 40% of his salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If his savings at the end of a month are Rs. 500. then his monthly salary is
Choices:
Rs. 2500
Rs. 1500
Rs. 500
Rs. 2000
Answer: A
Question: What is the probability of rolling four six-sided dice, and getting a different number on each die?
Choices:
1/3
4/9
5/9
5/13
Answer: D
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
771
245
177
121
Answer: B
Question: The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Choices:
15
16
17
19
Answer: B
Question: At a school, three-fifths of the male students and one-half of the female students speak a foreign language. If the number of males is equal to the number of females, what fraction of the students speak a foreign language?
Choices:
11/20
7/10
3/5
2/5
Answer: A
Question: Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 2 percent and the mobile phone at a profit of 10 percent. Overall he make a.
Choices:
288
500
200
881
Answer: B
Question: Two friends are training for a marathon together. Billie is faster than Joey, so they agree to giving Joey a half-hour head start, Joey leaving their warm up at 1:30. Joey runs a 3 minute mile (an average of 20 mph), and Billie runs at an average of 50 mph. When will Billie catch up to Joey?
Choices:
3:30
4:00
4:30
5:00
Answer: B
Question: In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?
Choices:
36
45
55
None of these
Answer: D
Question: A and B invests Rs.2000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
3:4
9:2
9:9
3:1
Answer: A
Question: A mixture of 125 gallons of wine and water contains 20% of water. How much water must be added to the mixture in order to increase the percentage of water to 25% of the new mixture?
Choices:
8.5gallons
8gallons
8.33gallons
9.33gallons
Answer: C
Question: What is the least valueof y. So that 23x57 is divisible by 3?
Choices:
1
3
4
5
Answer: A
Question: The present ages of three persons are in the proportion of 4 : 7 : 9. Eight years ago, the sum of their ages was 16. Find their present ages.
Choices:
8,14,18
16,28,36
16,28,46
None of these
Answer: A
Question: The length of a rectangle is 18 cm and its breadth is 10 cm. When the length is increased to 25 cm, what will be the breadth of the rectangle if the area remains the same ?
Choices:
7.1 cm
7.2 cm
7.3 cm
None of these
Answer: B
Question: Statement: According to a survey, the current water reservoir will deplete by 50% by 2050
Action:
I. Government of all the countries should appeal to all the citizens to use water carefully and avoid wastage.
II. Scientists should start finding an alternative solution to water.
Choices:
Only I follows
Either I or II follows
Neither I nor II follows
Both I and II follow
Answer: A
Question: The ratio of the cost price and the selling price is 4:5. The profit percent is:
Choices:
20%
25%
30%
40%
Answer: B
Question: Which of the following is true about 0<|x|-3x<5?
Choices:
-1<x<0
1<x<2
2<x<3
3<x<4
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 44 years now, the son's age 10 years back was:
Choices:
14 years.
17 years.
16 years.
12 years.
Answer: D
Question: If x is negative and y is positive, which of the following cannot be positive?
Choices:
x/-y
x/y
-xy
x^4+y
Answer: B
Question: There are 10 books on a shelf: 6 English books, 3 Spanish books and 2 Portuguese books. What is the probability of choosing 2 books in different languages?
Choices:
3/10
4/5
31/45
28/90
Answer: B
Question: A man, a woman or a boy can do a job in 20 days, 30 days or 60 days respectively. How many boys must assist 2 men and 8 women to do the work in 2 days?
Choices:
8 boys
10 boys
11 boys
None of these
Answer: A
Question: An amount of Rs.20,000 is to be distributed amongst P, Q, R and S such that “P” gets twice as that of “Q” and “S” gets four times as that of “R”. If “Q” and “R” are to receive equal amount, what is the difference between the amounts received by S and P?
Choices:
Rs. 5000
Rs. 2750
Rs. 2950
None of these
Answer: A
Question: ?% of 360 = 115.2
Choices:
36
64
32
None of these
Answer: C
Question: How many multiples of 3 are there between 10 and 100, exclusive ?
Choices:
30
28
31
33
Answer: A
Question: In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 3 and that the product of the given number and the sum of its digits is equal to 517, then the number is:
Choices:
36
47
58
63
Answer: B
Question: There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If now it is 9,100 milk chocolates per month, what was it one month ago?
Choices:
9000 chocolates
8000 chocolates
7000 chocolates
None of these
Answer: C
Question: Which of the following cannot be the range of a set consisting of 5 odd multiples of 13?
Choices:
100
104
208
416
Answer: A
Question: A and B started a business with an investment of Rs.26000 and Rs.28000. After two months C joined in the business with an investment of Rs.32000, what is share of C in the half year profit of Rs.9040 ?
Choices:
Rs.3120
Rs.2940
Rs.2560
Rs.3550
Answer: C
Question: A shopkeeper has 280 kg of apples. He sells 40% of these at 10% profit and remaining 60% at 30% profit. Find his % profit on total.
Choices:
22%
26%
28%
35%
Answer: A
Question: There is a rectangular prism made of 1 in cubes that has been covered in tin foil. There are exactly 128 cubes that are not touching any tin foil on any of their sides. If the width of the figure created by these 128 cubes is twice the length and twice the height, what is the measure y in inches of the width of the foil covered prism?
Choices:
6
8
9
10
Answer: D
Question: A sales representative receives a salary of $150 per week and earns a commission of 15% on all sales she makes. How many dollars’ worth of sales does she need to make in order to bring her total weekly income to $900?
Choices:
$3,150
$4,000
$4,150
$5,000
Answer: D
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choices:
18/35
18/128
18/30
18/32
Answer: A
Question: Machine X takes 10 hours longer than machine Y to produce 1080 Widgets. Machine Y produces 20 percent more widgets in an hour than machine x does in an hour. How many widgets per hour does machine X produce
Choices:
65
25
11
18
Answer: D
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
667 sec
167 sec
176 sec
Answer: A
Question: In a race of length L metres, Johnson beats Lewis by P metres and Greene by Q metres, By how many metres does Lewis beat Greene in the same race ? (P<Q)
Choices:
L(Q-P) / L-P
L-Q
P-Q
P+Q
Answer: A
Question: The age of father 5 years ago was four times the age of his son. Five years hence, father's age will be twice that of his son. The ratio of their present ages is:
Choices:
7 : 4
5 : 2
5 : 3
7 : 5
Answer: B
Question: A baker filled with a measuring cup with 1/2 cup water. He poured 1/2 of the water into the batter, and then spilled 1/8 of the water on the floor. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with?
Choices:
3/8 cup
1/4 cup
1/2 cup
5/8 cup
Answer: D
Question: The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares
Choices:
24 cm
26 cm
28 cm
None of these
Answer: A
Question: If the price of a certain bond on May 1st was 3/4 the price of the bond on June 1st and the price of the bond on July 1st was 50% greater than the price of the bond on May 1st. then the price of the bond on June 1st st was what percent of the average (arithmetic mean) price of the bond on May 1st and July 1st?
Choices:
114.28%
120%
133 1/3%
150%
Answer: A
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.2.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Choices:
s.1140
s.999
s.1665
s.1020
Answer: C
Question: Two trains are traveling on a collision course. If train A is traveling at a speed of 350 mph and train B is traveling 28% slower, how much time will it take the trains to collide if the initial distance between the two is 1806 miles?
Choices:
One hour and 10 minutes.
Two hours and 25 minutes.
Three hours and 0 minutes.
Four hours and 20 minutes.
Answer: C
Question: How long will a man take to go, walking at 4 km per hour, twice round a circular garden of 70 m radius
Choices:
28
26
18
111
Answer: A
Question: In each of the following questions a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank spaces.
2, ?, 14, 23, 34, 47
Choices:
7
36
31
33
Answer: A
Question: The average of first ten prime numbers which are odd is?
Choices:
15.7
15.4
15.8
15.5
Answer: C
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
32
34
31
35
Answer: D
Question: 10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?
Choices:
7hours a day
6hours a day
3hours a day
2hours a day
Answer: B
Question: By selling a house for Rs.72000, it was found that 1/5 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Choices:
57000
38028
38019
38192
Answer: A
Question: How many negative numbers are there in an alternating sequence of positive and negative numbers, if the sequence contains b numbers, where b is an odd number greater than 12. The first number of the sequence is a negative number.
Choices:
(b+1)/2
b/2
b/(2-1)
b/(2+1)
Answer: A
Question: The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq.cm. Find its height?
Choices:
6 cm
7 cm
9 cm
10 cm
Answer: A
Question: How many ways can 10 friends be arranged around a circular dinner table?
Choices:
7!
8!
9!
10!
Answer: C
Question: Replace X with the appropriate number in
1 , 3 , 5 , 7 , 8 , 9 , 10 , X
Choices:
11
4
6
30
Answer: A
Question: What will come in place of the x in the following Number series? 2, 7, 32, 157, 782, x
Choices:
3790
3910
3907
3970
Answer: C
Question: In given series 582, 605, 588, 611, 634, 617, 600 only one number is incorrect. Find out that wrong number
Choices:
634
600
620
617
Answer: A
Question: Find the value for x from below equation: x/3=-4?
Choices:
-12
-2
-3
4
Answer: A
Question: A college has classes from 10:00 AM until 1:40 PM. In this duration, there are five periods. If 5 minutes are provided between each period to leave one class and enter the next class, how many minutes long is each period?
Choices:
41 min
40 min
42 min
52 min
Answer: B
Question: Rajan and Rakesh started a business and invested Rs. 20,000 and Rs. 25,000 respectively. After 4 months Rakesh left and Mukesh joined by investing Rs. 15,000. At the end of the year there was a profit of Rs. 4,600. What is the share of Rakesh ?
Choices:
1000
1125
1200
1050
Answer: A
Question: A man swims downstream 76 km and upstream 48 km taking 4 hours each time; what is the speed of the current?
Choices:
1.5 kmph
3.5 kmph
6.5 kmph
7:3kmph
Answer: B
Question: How many multiples of 8 are less than 7600, and also multiples of 19?
Choices:
100
50
89
90
Answer: B
Question: The value of log2(log5625) is
Choices:
2
10
15
20
Answer: A
Question: Solve x2 â€“ 3x â€“ 4 = 0.
Choices:
-1,4
2,3
2,4
2,6
Answer: A
Question: What is the product of all the prime factors of 25?
Choices:
25
35
40
45
Answer: A
Question: Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 12 percent solution will be required?
Choices:
18
24
36
42
Answer: A
Question: There are 6 people and 3 chairs. In how many different ways people can occupy the chairs?
Choices:
120
150
100
140
Answer: A
Question: If (-12x)^(4x) = 12x^(15 - x) and x is an integer, what is the value of x ?
Choices:
4
3
2
-2
Answer: B
Question: There are 100 wine glasses. I offered my servant to 3 paise for every broken glass to be delivered safely and forfeit 9 paisa for every glass broken at the end of day. He recieved Rs.2.40 .how many glass did he break.
a. 20 b. 73 c. 5 d. 8
Choices:
281
29
28
191
Answer: A
Question: In a single throw of a die, what is probability of getting a number greater than 4?
Choices:
4/3
1/3
5/7
7/9
Answer: B
Question: 4, 12, 48, 240, 1440, (...)
Choices:
6200
10020
10080
11000
Answer: C
Question: A glass was filled with 15 ounces of water, and 0.05 ounce of the water evaporated each day during a 15-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.05%
0.5%
5%
25%
Answer: C
Question: A rectangular block 6cm by 12cm by 15cm is cut into an exact number of equal cubes. Find the least possible number of cubes?
Choices:
25
40
50
35
Answer: B
Question: If log 0.317 = 0.3332 and log 0.318 = 0.3364, then find log 0.319
Choices:
0.3396
0.3596
0.3696
0.3796
Answer: A
Question: In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?
Choices:
41
21
26
34
Answer: A
Question: Find the area of a triangle whose sides are 41 cm, 28 cm, 15 cm. Also, find the length of the altitude corresponding to the largest side of the triangle.
Choices:
5.1 cm
6.1 cm
7.1 cm
8.1 cm
Answer: B
Question: What is the greatest prime factor of 4^6 - 1?
Choices:
13
19
23
29
Answer: A
Question: The H.C.F. of two numbers is 10 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Choices:
120
180
140
60
Answer: C
Question: 7% of the total quantity of rice is lost in grinding when a country has to import 6 million tonnes, but when only 7 3/4% is lost, it can import 3 million tonnes. Find the quantity of rice grown in the country.
Choices:
300
400
450
560
Answer: B
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Choices:
12.1 sec
12.42 sec
14.3 sec
15.3 sec
Answer: A
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. 17
Rs. 19.7
Rs. 21
Rs. 22
Answer: B
Question: A Train requires 8 seconds to pass a pole while it requires 18 seconds to cross a stationary train which is 400 mtrs long. Find the speed of the train.
Choices:
144 kmph
134 kmph
150 kmph
160 kmph
Answer: A
Question: Which of the following points falls outside of the region defined by 2y≤4x−12?
Choices:
(3, -8)
(2, 0)
(1, -2)
(0, -14)
Answer: B
Question: Day after tomorrow is my birthday. On the same day next week falls 'Holi'. Today is Monday. What will be the day after 'Holi'?
Choices:
Thursday
Friday
Saturday
None of these
Answer: A
Question: Three candidates contested in an election and received 5136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get?
Choices:
48%
57%
51%
62%
Answer: A
Question: A Father told his son, " I was as old as you are at present, at the time of your birth," if the father is 38 years old now, then what was the son age five years back?
Choices:
14 years
38 years
33 years
37 years
Answer: A
Question: The H.C.F. of two numbers is 30 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Choices:
299
420
345
365
Answer: B
Question: Denise is trying to open a safe whose combination she does not know. IF the safe has 4000 possible combinations,and she can try 150 different possibilities,what is the probability that she does not pick the one correct combination.
Choices:
0.9625
157/160
3/160
0.8625
Answer: A
Question: A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
Choices:
45 kmph
95 kmph
75 kmph
46 kmph
Answer: A
Question: (935421 x 625) = ?
Choices:
584638125
584638180
584638220
584638225
Answer: A
Question: How long will a boy take to run round a square field of side 50 meters, if he runs at the rate of 9km/hr?
Choices:
80sec
1min
32sec
25sec
Answer: A
Question: How many three letter words are formed using the letters of the word POLICE?
Choices:
120
140
24
91
Answer: A
Question: A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 10% while buying and by 10% while selling. What is his percentage profit?
Choices:
20.22%
21.22%
22.22%
Can't be calculated
Answer: C
Question: In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive R difference between n and m?
Choices:
3
5
7
9
Answer: A
Question: The cost of setting up a magazine is Rs. 2800. The cost of paper and ink etc is Rs. 80 per 100 copies and printing cost is Rs. 160 per 100 copies. In last month 2000 copies were printed but only 1500 copies could be sold at Rs. 5 each. Total 25% profit on the sale price was realized. There is one more resource of income from magazine which is advertising. What sum of money obtained from the advertising in magazine?
Choices:
Rs. 2350
Rs. 1150
Rs. 1975
None of these
Answer: C
Question: The arithmetic mean of a data set is 46 and the standard deviation of the set is 4. Which of the following contains the interval two standard deviations from the mean of the set?
Choices:
38 to 54
48 to 54
80 to 54
38 to 60
Answer: A
Question: Three friends are buying a gift for a friend. Declan contributes 4 dollars more than 1/4 the cost of the gift, Ed contributes 1 dollar less than 1/3 the cost of the gift, and Frank contributes the remaining 20 dollars. What is the cost of the gift?
Choices:
54
60
55.2
72
Answer: C
Question: A pharmaceutical company received $4 million in royalties on the first $24 million in sales of generic equivalent of one of its products and then $5 million in royalties on the next $60 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $24 million in sales to the next $60 million in sales?
Choices:
20%
25%
30%
35%
Answer: A
Question: In how many ways can the letters in PRECISION be arranged? In how many of these arrangements do the vowels occupy even places ?
Choices:
1440
1420
1460
1520
Answer: A
Question: If the personal income tax rate is lowered from 42% to 28%, what is the differential savings for a tax payer having an annual income before tax to the tune of $34500?
Choices:
$5000
$4830
$7000
$10000
Answer: B
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
Choices:
155
166
178
190
Answer: B
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
Choices:
21
22
25
40
Answer: A
Question: When n is divided by 24, the remainder is 4. What is the remainder when 3n is divided by 8?
Choices:
4
5
6
7
Answer: A
Question: Let D represent a set of four distinct prime numbers. If the sum of the numbers in D is even and x is a member of D, then what is the least possible value that x can be?
Choices:
2
3
5
7
Answer: B
Question: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
Choices:
41
31
84
81
Answer: A
Question: Find the area between two concentric circles defined by
x2 + y2 -2x + 4y + 1 = 0
x2 + y2 -2x + 4y - 11 = 0
Choices:
12 Pi
13 Pi
14 Pi
15 Pi
Answer: A
Question: In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
210
230
240
250
Answer: A
Question: A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 2 rows or 7 rows or 9 rows, then no tree will be left. Find the least number of trees required
Choices:
60
126
76
21
Answer: B
Question: What will be the remainder of the following division:
(1234567....141516...20212223....404142)/43?
Choices:
0
2
3
4
Answer: A
Question: It takes 6 tons of copper ore and 15 tons of iron ore to make one ton of alloy A. How many tons of alloy A can be made from 60 tons of copper ore and 90 tons of iron ore?
Choices:
5
6
7
8
Answer: B
Question: Two trains running opposite to each other with a speed of 60kph and 55kph having lengths of 180m and 200m respectively. How long it will take the trains to completely pass each other(in seconds)?
Choices:
10.21
11.89
14.22
19.13
Answer: B
Question: Two cars started from the same point, at 5 am, traveling in opposite directions at 40 and 50 mph respectively. At what time will they be 450 miles apart?
Choices:
10am
11am
12am
14am
Answer: A
Question: Which of the following options is equal to 2.71 x 10(power 7)?
Choices:
27100000
27200000
21100000
17100000
Answer: A
Question: IF x is an integer greater than 6, then all the following must be divisible by 3 EXCEPT
Choices:
9x/3
9x^2
x(x+1)(x+2)
x-3
Answer: D
Question: X, Y, W and Z are intezers and the expressing X - Y - Z is even and Y - W - Z is odd. If X is even then which of
Choices:
W must be odd
Y must be odd
Z must be odd
F must be odd
Answer: A
Question: 10 distinct integers are arranged in ascending order. The range of the first 7 is 25 and that of last 7 is 30. What is the maximum range R of the 10 numbers?
Choices:
27
30
52
55
Answer: C
Question: The average age of a class of 14 students is 10 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Choices:
31 Years
32 Years
34 Years
25 Years
Answer: D
Question: A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
Choices:
2400
2766
91987
2121
Answer: A
Question: A man want to buy 2 cars. If there are 10 cars that satisfy the man's criteria,in how many different ways can the man select the 2 cars if the order of selection doesn't matter.
Choices:
120
32
210
45
Answer: D
Question: In the youth summer village there are 200 people, 100 of them are not working,75 of them have families and 125 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower?
Choices:
150
100
130
140
Answer: B
Question: There are nine leopards and one sheep.
Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s).
If we leave them for some time then how many sheep and leopard will be there , when we come back ?
Choices:
8 leopard and 1 sheep
6 leopard and 4 sheep
5 leopard and 1 sheep
2 leopard and 5 sheep
Answer: A
Question: Two whales are moving in the same direction at 60 kmph and 42 kmph. The faster whale manages to cross the other whale in 14 seconds. Find the length of the faster whale in meters.
Choices:
45 m
70 m
120 m
113 m
Answer: B
Question: There are 12 cans in the refrigerator. 8 of them are red and 4 of them are blue. In how many ways we can remove 8 cans so that at least one red and at least one blue cans to remain the refrigerator.
Choices:
490
493
455
424
Answer: D
Question: Two numbers are respectively 20% and 25% more than a third number. So find the percentage that is first of the second is?
Choices:
96
35
78
89
Answer: A
Question: A, B and C invested Rs.6000, Rs.7200 and Rs.10800 respectively, in a partnership business. Find the share of C in profit of Rs.19000 after a year?
Choices:
5580
19000
8550
6000
Answer: C
Question: There are 22 girls in hostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl.
Choices:
1 years 2 months
3 years 8 months
4 years
None
Answer: B
Question: One-third of 1206 is what percent of 162?
Choices:
300.12
248.14
None of these
cannot be determined
Answer: B
Question: 7th number in the series....
99,18,36,9,18
Choices:
18
19
20
21
Answer: A
Question: Given 5^x, for any real integer of x, which of the following is a possible resultant?
Choices:
15,652
15,623
15,653
15,625
Answer: D
Question: If x = 1/8 and y = -1/2, what is the value of the expression -2x – y^2?
Choices:
-1/2
1
3/2
7/4
Answer: A
Question: On a shelf, 2 books of Geology, 2 books of Sociology and 5 of Economics are to be arranged in such a way that the books of any subject are to be together. Find in how many ways can this be done?
Choices:
2880
2682
8222
6282
Answer: A
Question: What is the value of m and n ?
if log3m/log3n=log 52
Choices:
2,5
3,5
4,5
2,3
Answer: A
Question: In what ratio should a variety of oil costing Rs. 9 per ltr be mixed with another variety of oil costing Rs. 17.25 per ltr to obtain a mixture costing Rs. 11.75 per ltr?
Choices:
1 : 3
3 : 1
1 : 2
2 : 1
Answer: D
Question: A small beaker is 1/2 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 1/2 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled?
Choices:
3/5
3/10
7/20
11/20
Answer: A
Question: A train 120 m long running at 60 kmph crosses a platform in 35 sec. What is the length of the platform?
Choices:
277
463
456
271
Answer: B
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 25 seconds, what is the ratio of their speeds?
Choices:
4:1
2:3
3:2
3:4
Answer: A
Question: If Jake loses 12 pounds, he will weigh twice as much as his sister. Together they now weigh 156 pounds. What is Jake’s present weight, in pounds?
Choices:
108
139
147
188
Answer: A
Question: If the speed of X meters per second is equivalent to the speed of Y meters per minute, what is Y in terms of X? (1 kilometer=1000 meters)
Choices:
6x/5
18x/5
600x
60x
Answer: D
Question: What is the greatest number of three digits which is divisible by 4, 8, 12 ?
Choices:
999
978
972
984
Answer: D
Question: Three-twentieths of the members of a social club are retirees who are also bridge players, eight-twentieths of the members are retirees, and one-half of the members are bridge players. If 120 of the members are neither retirees nor bridge players, what is the total number of members in the social club?
Choices:
160
360
400
480
Answer: A
Question: In how many ways can the letters D, I, G, I, T, K be arranged so that the two I's are not next to each other?
Choices:
48
72
96
240
Answer: D
Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Choices:
25
40
47
58
Answer: B
Question: The contents of a certain box consist of 24 carrots and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be carrrots?
Choices:
26
30
46
50
Answer: A
Question: Convert the 12/43 m/s into kilometers per hour?
Choices:
2.5 kmph.
1 kmph.
1.5 kmph.
1.9 kmph.
Answer: B
Question: How many different positive integers exist between 10^3 and 10^4, the sum of whose digits is equal to 2?
Choices:
7
5
4
18
Answer: C
Question: The average (arithmetic mean) of four distinct positive integers is 20. If the average of the smaller two of these four integers is 24, which of the following represents the maximum possible value of the largest integer?
Choices:
16
36
20
1
Answer: B
Question: If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day?
Choices:
7
5
2.0
1
Answer: C
Question: There are 4 sections with 6 questions each. If two questions are selected from each section, the chance of getting different questions is________
Choices:
225
300
240
289
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:
756
125
451
123
Answer: A
Question: Which of the following is between 23/30 and 17/21?
Choices:
3/8
1/2
5/8
7/9
Answer: D
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 40%?
Choices:
887
256
654
700
Answer: D
Question: The average of first six prime numbers which are between 50 and 90 is
Choices:
42
45.7
64
67
Answer: C
Question: A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 7 miles per hour and returns along the same road at an average speed of 6 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour?
Choices:
(b) 5
(c) 26/5
(d) 84/13
(e) 28/5
Answer: C
Question: Two trains are moving at 85 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:
5 25/31 sec
7 2/2 sec
8 1/2 sec
7 1/9 sec
Answer: A
Question: In how many ways a group of 5 male and 2 female be made out of a total of 7 male and 3 female?
Choices:
78
63
89
98
Answer: B
Question: The least number which when subtracted from both the terms of the ratio 4 : 5 to give a ratio less than 14 : 23, is
Choices:
3
4
5
6
Answer: A
Question: AMS employs 8 professors on their staff. Their respective probability of remaining in employment for 10 years are 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. The probability that after 10 years at least 8 of them still work in AMS is ?
Choices:
1.22
0.00363.
0.16
none of these
Answer: B
Question: A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.33 per litre so as to make a profit of 30% on cost when he sells the resulting milk and water mixture for Rs.36 In what ratio should he mix the water and milk?
Choices:
23:120
1:8
1:4
6:11
Answer: A
Question: What is the largest 4 digit number exactly divisible by 88?
Choices:
9944
7744
6644
5544
Answer: A
Question: During a certain week, a seal ate 50% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?
Choices:
40
55
64
80
Answer: C
Question: A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. The area of the lawn is 2109 sq. m. what is the width of the road?
Choices:
4 M
2 M
3 M
6 M
Answer: C
Question: A family of 4 brothers and 3 sisters is to be arranged in a row, for a photograph. In how many ways can they be seated if all the sisters not together ?
Choices:
4820
4320
4620
4520
Answer: B
Question: The avg weight of A,B & C is 55 kg. If D joins the group, the avg weight of the group becomes 60 kg.If another man E who weights is 3 kg more than D Replaces A, Then the avgof B,C,D&E becomes 58 kg. What is the weight of A?
Choices:
65
75
86
90
Answer: C
Question: When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 16?
Choices:
10
34
47
55
Answer: A
Question: A clock shows the time as 9 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p.m.?
Choices:
45 minutes
35 minutes
25 minutes
40 minutes
Answer: A
Question: A rich aristocrat decided that he would give every man rs.45 and every women Rs.60.Only one nineth of the man and only one twelfth of the women collected their dues .Can u tell me how much money thath aristocrat spent if their were 3552 people in total
Choices:
17760
16320
14640
15640
Answer: A
Question: Given that A and B are events such that
H(A)= 0.03
H(B)=0.18
H(AnB)=0.18
find H (A|B) and H(A|B)
Choices:
1/5
1/3
1/2
1/6
Answer: D
Question: 12 buckets of water fill a tank when the capacity of each bucket is 81 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?
Choices:
110
100
90
108
Answer: D
Question: If â€˜KARNATAKAâ€™ is coded as â€˜BAIEABABAâ€™, then â€˜BIHARâ€™ is coded as
Choices:
BHARI
BHIAR
BIHAI
BIHAR
Answer: C
Question: Of the three numbers, the first is twice as second and three times the third. The average of the three numbers is 33, and the three numbers in order are?
Choices:
54,27,18
126,63,36
108,54,36
None of these
Answer: A
Question: A circular swimming pool is surrounded by a concrete wall 4ft wide. If the area of the concrete wall surrounding the pool is 11/25 that of the pool, then the radius of the pool is?
Choices:
20ft
30ft
40ft
50ft
Answer: A
Question: A certain musical scale has has 13 notes, each having a different frequency, measured in cycles per second. In the scale, the notes are ordered by increasing frequency, and the highest freq is twice the lowest. For each of the 12 lower freq , the ratio of a frequency to the next higher freq is a fixed constant. If the lowest freq is 440 cycles per second, then the freq of the 7th note in the scale is how many cycles/second?
Choices:
440 * sqrt 2
400 * sqrt 2
320 * sqrt 3
None
Answer: A
Question: How many seconds will a 500 m 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
88
266
121
Answer: A
Question: Peter obtained 76, 65, 82, 67 and 95 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
B)99
C)68
D)82
E)75
Answer: D
Question: Manoj borrowed Rs.3750 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?
Choices:
5555
2778
6787
1771
Answer: A
Question: When a certain shoe store reduces the price of its best-selling style of shoe by 10 percent, the weekly sales of this style increase by 20 percent. Which of the following best describes the resulting change in the store's weekly revenue from sales of this style of shoe?
Choices:
Revenue decreases by 1%
There is no change in revenue
Revenue increases by 1%
Revenue increases by 8%
Answer: D
Question: Find avrg speed if a man travels at speed of 16km/hr up and 30km/hr dawn at an altitude of 200m.
Choices:
21.8
20.8
28.8
29.8
Answer: B
Question: Nine coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
Choices:
2^10
2^8
3 * 2^9
3 * 2^10
Answer: B
Question: If 8 men or 12 women can do a piece of work in 40 days, in how many days can the same work be done by 6 men and 11 women?
Choices:
11 days
13 days
15 days
24 days
Answer: D
Question: The vertex of a rectangle are (1, 0), (9, 0), (1, 4) and (9, 4) respectively. If line L passes through the origin and divided the rectangle into two identical quadrilaterals, what is the slope of line L?
Choices:
2
1/4
2/5
5/6
Answer: C
Question: A man sells a horse for Rs.920 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
279
267
860
940
Answer: D
Question: Find 103 ×× 10
Choices:
108/12
108/19
108/15
108/11
Answer: C
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 12 cm.
Choices:
228 cm2
285 cm2
825 cm2
725 cm2
Answer: A
Question: A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit?
Choices:
2976
2690
3000
2698
Answer: C
Question: A company recently conducted a survey and found that 40,000 of its customers live in rural areas. If the number of customers who live in urban areas is 137 percent greater than the number of customers who live in rural areas, how many customers live in urban areas?
Choices:
91,200
92,400
93,600
94,800
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 880 grams per kg, what is his percent?
Choices:
13.6%
65%
45%
35%
Answer: A
Question: There are 5 marbles in a bag - 2 are orange and 3 are blue. If two marbles are pulled from the bag, what is the probability T that at least one will be orange?
Choices:
T=7/10
T=2/5
3/10
1/10
Answer: A
Question: Judy ate 20g of chocolate on Monday, and 30g of chocolate on Tuesday. How much chocolate on average did she eat on those two days?
Choices:
6g
600g
25g
1kg
Answer: C
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 days
15 days
19 days
20 days
Answer: A