antoine-444/aqua_rat_dataset huggingface dataset:
Question: Tough and Tricky questions: Word Problems.
Mike, Sarah and David decided to club together to buy a present. Each of them gave equal amount of money. Luckily Sarah negotiated a 20% discount for the present so that each of them paid 4 dollars less. How much did they pay for a present?
Choices:
36
48
60
72
Answer: B
Question: Sudhir started a business with Rs.40,000 and after 8 months Ravi joined him with Rs.60,000. If they get a profit of Rs.28000 then ratio of their shares will be
Choices:
2:1
4:3
3:4
3:5
Answer: A
Question: The area of a triangle is with base 5.5m and height 6m?
Choices:
16.5 m2
18.5 m2
19.5 m2
12 m2
Answer: A
Question: From the integer n, if n*n*n is odd, then what is true from below options?
Choices:
n is odd and n*n is even
n is even
n*n is even
n*n is odd
Answer: A
Question: Two trains of length 100 meters and 200 meters are 840 meters apart. They are moving towards each other on parallel tracks, at speeds of 54 km/h and 72 km/h. After how many seconds will the trains meet?
Choices:
22
24
26
28
Answer: B
Question: How many three-element subsets of {1,2,3,4} are there that do not contain the pair of elements 2 and 4?
Choices:
2
3
4
5
Answer: A
Question: If a(a + 6) = 27 and b(b + 6) = 27, where a ≠ b, then a + b =
Choices:
−6
2
46
48
Answer: A
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
46 seconds
40 seconds
97 seconds
26 seconds
Answer: B
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 1 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Choices:
120
289
270
927
Answer: A
Question: A palindrome is a word or a number that reads the same forward and backward. For example, 2442 and 111 are palindromes. If 5-digit palindromes are formed using one or more of the digits 1, 2, 3, 4, and 5, how many palindromes are possible?
Choices:
75
125
225
625
Answer: B
Question: A painting crew painted 80 houses. They painted the first y houses at a rate of x houses per week. Then more painters arrived and everyone worked together to paint the remaining houses at a rate of 2.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?
Choices:
(y +250)/(5x)
5(80 - y)/(4x)
(y + 400)/(4x)
(4y + 250)/(5x)
Answer: A
Question: You have been given a physical balance and 7 weights of 52, 50, 48, 44, 45, 46 and 78 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 183 kgs.
Choices:
180
182
178
168
Answer: A
Question: The majority owner of a business received 25% of the profit, with each of 4 partners receiving 25% of the remaining profit. If the majority owner and two of the owners combined to receive $46,875, how much profit did the business make?
Choices:
$75,000
$95,000
$115,000
$125,000
Answer: A
Question: When the price of an article was reduced by 40% its sale increased by 80%. What was the net effect on the sale?
Choices:
8% increase
6% increase
66% increase
66% decrease
Answer: A
Question: If (20)² is subtracted from the square of a number, the answer so obtained is 4321. What is the number?
Choices:
69
70
71
72
Answer: A
Question: If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Choices:
1268
1290
1345
1365
Answer: D
Question: In a certain large company, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one picks a random college graduate at this large company, what is the probability T this college graduate has a graduate degree?
Choices:
1/12
1/13
3/19
3/43
Answer: C
Question: The greatest common factor of positive integers m and n is 14. What is the greatest common factor of (2m^2, 2n^2)?
Choices:
28
196
392
784
Answer: C
Question: A sun is divided among X, Y and Z in such a way that for each 5 rupees X gets, Y gets 3 rupees and Z gets 2 rupees. If the share of Z is RS. 200, what is the total amount of X and Y?
Choices:
800
600
700
900
Answer: A
Question: If n is a prime number and n ≠ 3, which of the following could be the remainder when 100! + n is divided by 3?
I. 2
II. 1
III. -2
Choices:
III only
I and II only
II and III only
I, II and III
Answer: B
Question: If xy > 0, 1/x + 1/y = 15, and 1/xy = 5, then (x+y)/5 = ?
Choices:
1/6
3/5
5
6
Answer: B
Question: A farmer sells his strawberries through a distributor, which take a commission of 12% of the price set by the farmer. The distributor obtains the product from a farmer at the price of $35 per bushel. What is the price that the buyer observers if the distributor wants to maintain a 12% profit on the cost of a bushel?
Choices:
44.55
44.05
66.02
75.48
Answer: A
Question: A train passes a man standing on the platform. If the train is 160 meters long and its speed is 72 kmph, how much time it took in doing so?
Choices:
6 sec
8 sec
9 sec
7 sec
Answer: B
Question: Length of a rectangular plot is 12 mtr more than its breadth. If the cost of fencing the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Choices:
56 m
80 m
82 m
84 m
Answer: A
Question: How much time does a train 125 metres long running at 60 km/hr take to pass a pole?
Choices:
2.5s
7.5s
7.6s
7.4s
Answer: B
Question: A car travels uphill at 30 km/hr and downhill at 90 km/hr. It goes 100 km uphill and 50 km downhill. Find the average speed of the car?
Choices:
39kmph
34kmph
35kmph
36kmph
Answer: A
Question: On a partly cloudy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction R of the total distance did he cover while the sun was shining on him?
Choices:
4/5
1/5
1/6
1/7
Answer: D
Question: 4,25,49,121,169,289,361,
Choices:
169
189
529
219
Answer: C
Question: The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
Choices:
31
55
77
81
Answer: A
Question: Two men and three women can repair a bridge in 10 days while three men and two women can do same work in 8 days. If two men and one woman are used to finish this work, in how many days they will complete it?
Choices:
12.5 days
10 days
11.3 days
12.7 days
Answer: A
Question: A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?
Choices:
13
15
18
12
Answer: B
Question: Andrew is selling fruit to be able to buy a new bike. The bike costs 400. He sells a large bag of fruit for $8. He so far has sold 32 bags, how many more need to be sold in order to buy the bike.
Choices:
18
15
12
2
Answer: A
Question: Pipe A fills a swimming pool in 4 hours. Pipe B empties the pool in 6 hours. If pipe A was opened at 7:00 am and Pipe B at 8:00 am, at what time will the pool be full?
Choices:
18:00
19:00
20:00
17:00
Answer: D
Question: A number increased by 10% gives 660. The number is?
Choices:
300
500
600
400
Answer: C
Question: A driver covers a certain distance by car driving at 60 km/hr and returns back to the starting point riding on a scooter at 10 km/hr. What was the average speed for the whole journey?
Choices:
17.1 km/h
19.3 km/h
21.7 km/h
23.5 km/h
Answer: A
Question: Walking at 3/4 of her normal speed, a worker is 12 minutes later than usual in reaching her office. The usual time (in minutes) taken by her to cover the distance between her home and her office is
Choices:
36
60
62
66
Answer: A
Question: The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive integers. If the average (arithmetic mean) of the three numbers is 27, what is the value of a?
Choices:
18
21
22
24
Answer: A
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Choices:
876 m
251 m
150 m
145 m
Answer: C
Question: According to a survey, at least 55% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?
Choices:
10%
25%
0%
35%
Answer: A
Question: If 76 is divided into four parts proportional to 7,5,3,4, then the smallest part is
Choices:
15
16
19
12
Answer: D
Question: The positive integers p and q leave remainders of 2 and 3, respectively, when divided by 6. p > q. What is the remainder when p – q is divided by 6?
Choices:
5
3
2
1
Answer: A
Question: A student can select one of 10 different math book, one of 3 different chemistry book & one of 4 different science book.In how many different ways students can select book of math, chemistry & science.
Choices:
72
99
37
120
Answer: D
Question: Simplify: 0.2*0.4+0.6*0.8
Choices:
0.42
0.48
0.64
0.56
Answer: D
Question: Find the number of factors W of 180 that are in the form (4*k + 2), where k is a non-negative integer?
Choices:
2
3
4
W=6
Answer: D
Question: To complete a work A and B takes 8 days, B and C takes 12 days, A,B and C takes 6 days. How much
time A and C will take
Choices:
16 days
12 days
8 days
None of these
Answer: C
Question: The current birth rate per certain number of people is 32, whereas corresponding death rate is 11 per same number of people. If the net growth rate in terms of population increase is 2.1 percent, find number of persons.(initally)
Choices:
1000
100
2000
20000
Answer: A
Question: A and B together can do a piece of work in 10 days. B alone can finish it in 20 days. In how many days can A alone finish the work ?
Choices:
20
21
22
23
Answer: A
Question: 5358 x 52 = ?
Choices:
278616
273298
273258
277382
Answer: A
Question: A can do a piece of work in 12 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in ?
Choices:
3 days
6 days
7 days
11 days
Answer: A
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.700, what is the reduced price for kg?
Choices:
35
70
80
20
Answer: A
Question: In the first 10 overs of a cricket game, the run rate was only 3.8. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
5
6.1
7
7.5
Answer: B
Question: By selling 12 toffees for a dollar, a man loses 20%. How many for a should dollar be sell to get a gain of 20%?
Choices:
12
78
2
8
Answer: D
Question: The average age of 20 students in a class is 15 years. If the age of teacher is also included, the average becomes 16 years, find the age of the teacher.
Choices:
38
45
36
60
Answer: C
Question: A, B and C run around a circular track starting from the same point simultaneously and in the same direction at speeds of 4 kmph, 6 kmph and 8 kmph respectively. If the length of the track is 400 meters, when will A, B and C meet at the starting point for the first time after they started the race?
Choices:
5 minutes
12 minutes
20 minutes
24 minutes
Answer: B
Question: There is a unique number which when multiplied by any number from 1 to 6, we will get the new number that contains same digits only.Can you find that number ?
Choices:
142857
123354
114457
133257
Answer: A
Question: The area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm is?
Choices:
8.67
8.75
8.98
8.28
Answer: B
Question: A man traveled a total distance of 1800 km. He traveled one-third of the whole trip by plane and the distance traveled by train is three-fifth of the distance traveled by bus. If he traveled by train, plane and bus, then find the distance traveled by bus?
Choices:
850 km
1200 km
750 km
None of these
Answer: C
Question: Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/6, what percent of the total number of the remaining employees would then be clerical?
Choices:
22.2%
20%
29.4%
11.1%
Answer: C
Question: 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?
Choices:
12
14
18
21
Answer: C
Question: Which is greater 2/3 or 3/4?
Choices:
3/4
both are equal
Cannot be determined
both are equal and equal to 1
Answer: A
Question: A carpenter makes 7 bunk beds every day. A military school needs to organize a place to sleep for 143 soldiers. If there are 5 carpenters working on the job, how many whole days in advance should they receive the order and start working in order to finish the right number of beds assuming that each bunk- bed is used by two soldiers?
Choices:
4.
5.
6.
7.
Answer: D
Question: A money lender lent a total of $1700 to two of his customers. He charged at the rate of 5%p.a. to one of them and 6% p.a. to the other. If he earned an average of 5.67% on $1700, how much did he lend to each of the two customers?
Choices:
1139; 561
1000; 800
1200; 800
None of the above
Answer: A
Question: What should come in place of question mark (?) in the following equation?
45% of 1500 + 35% of 1700 = ? % of 3175.
Choices:
45
30
35
None of these
Answer: D
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 5 sec. What is the length of the fast train?
Choices:
77 7/9 m
27 8/9 m
27 7/9 m
22 7/9 m
Answer: C
Question: A class average mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored below 60?
Choices:
20
38
42
33
Answer: A
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Choices:
5/21
9/14
16/21
1/3
Answer: A
Question: If t,u, and v are positive integers and 2t=2u+2v, which of the following must be true?
i. t=u
ii. u is not equal to v
iii. t > v
Choices:
I only
II only
III and I
III only
Answer: D
Question: It is currently 9:53 PM. What time was it in the morning exactly 149,061 minutes ago?
Choices:
9:18
9:26
9:32
9:38
Answer: C
Question: A photograph is copied onto a sheet of paper 8.5 inches by 10 inches. A 1.5 inch margin is left all around. What area in square inches does the picture cover?
Choices:
65
59.5
49
38.5
Answer: D
Question: Express of the following as a fraction: 0.6%
Choices:
7/500
3/500
8/500
None of them
Answer: B
Question: The ratio of two quantities is 2 to 5. If each of the quantities is increased by 4, what is the ratio of these two new quantities?
Choices:
5/8
7/13
22/25
It cannot be determined from the information given.
Answer: D
Question: A box contains 5 yellow balls and 6 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
Choices:
4/7
5/8
7/9
6/11
Answer: D
Question: The ratio between the speeds of two trains is 7: 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is ?
Choices:
84.5 km/hr
86.5 km/hr
87.5 km/hr
None of these
Answer: C
Question: Adding two non multiples of W always results in a multiple of W; which of the following must be the value of W ?
Choices:
[A] two
[C] five
[D] ten
[E] hundred
Answer: A
Question: The first three terms of an infinite sequence are 2, 7, and 22. After the first term, each consecutive term can be obtained by multiplying the previous term by 3 and then adding 1. What is the sum of the tens digit and the units digit of the fortythird term in the sequence?
Choices:
3
6
4
5
Answer: C
Question: How many terminating zeroes Q does 200! have?
Choices:
48
49
55
64
Answer: B
Question: Evaluate ((5.68)2 – (4.32)2)/5.68- 4.32
Choices:
9
10
11
12
Answer: B
Question: A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
Choices:
23
24
26
25
Answer: C
Question: Skier SARAH completes a straight 300-meter downhill run in t seconds and at an average speed of (x + 10) meters per second. She then rides a chairlift back up the mountain the same distance at an average speed of (x - 8) meters per second. If the ride up the mountain took 135 seconds longer than her run down the mountain, what was her average speed, in meters per second, during her downhill run?
Choices:
15
20
25
30
Answer: B
Question: John is measuring a banner for the school play and needs to know how many inches are in 5 yards and 2 feet. Can you help him out?
Choices:
204 inches.
220 inches.
206 inches.
208 inches.
Answer: A
Question: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Choices:
354 m
450 m
350 m
250 m
Answer: C
Question: The diagonals of a rhombus are 13 cm and 20 cm. Find its area?
Choices:
288
150
130
31
Answer: C
Question: Find the area of trapezium whose parallel sides are 10 cm and 18 cm long, and the distance between them is 10 cm.
Choices:
140 cm2
185 cm2
185 cm2
195 cm2
Answer: A
Question: 45 men can complete a work in 14 days. Six days after they started working, 30 more men joined them. How many days will they now take to complete the remaining work?
Choices:
10
15
7
4.8
Answer: D
Question: On a ferry, there are 32 cars and 8 trucks. The cars have an average mass of 900 kg and the trucks have an average mass of 3000 kg. What is the average mass of all 40 vehicles on the ferry?
Choices:
1240
1280
1320
1360
Answer: C
Question: If the sides of a triangle are 26 cm, 24 cm and 12 cm, what is its area?
Choices:
112 cm2
144 cm2
666 cm2
886 cm2
Answer: B
Question: Which one of the following numbers is a solution of the equation
(x(2sq)-2)(x(2sq) + 6)(x(third3)-8) = 0?
Choices:
2
3
4
5
Answer: A
Question: In a consumer survey, 70% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Choices:
10
15
20
25
Answer: D
Question: Three partners A, B, C in a business invested money such that 3(Aâ€™s capital) = 2(Bâ€™s capital) = 5(Câ€™s capital) then, The ratio of their capitals is
Choices:
63 : 54 : 34
36 : 54 : 28
63 : 45 : 35
10 : 15 : 6
Answer: D
Question: Rs. 850 becomes Rs. 956 in 3 years at a certain rate of simple interest.If the rate of interest is increased by 4% ,What amount will Rs. 850 become in 3 years ?
Choices:
Rs. 1025
Rs. 1058
Data inadequate
None of these
Answer: B
Question: Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 41 films, and broke even on none of them, how many of their films were profitable?
Choices:
19
20
21
40
Answer: D
Question: Instead of multiplying a number by 2, the number is divided by 10. What is the percentage of error obtained ?
Choices:
92%
95%
93%
97%
Answer: B
Question: Eight years ago, P was half of Q's age. If the ratio of their present ages is 3:4 what will be the total of their present ages?
Choices:
67
28
31
35
Answer: B
Question: Albert invested amount of 4000 in a fixed deposit for 2 years at compound interest rate of 5 % per annum. How much Albert will get on the maturity of the fixed deposit
Choices:
Rs. 8620
Rs. 4410
Rs. 8820
None of these
Answer: B
Question: Total dinning bill for 6 people was $211.00.If they add 15% tip and divided the bill evenly ,approximate.What was each persons find share
Choices:
40.44
34.66
32.29
33.16
Answer: A
Question: The probability is 0.6 that an “unfair” coin will turn up tails on any given toss. If the coin is tossed 3 times, what is the probability that at least one of the tosses will turn up tails?
Choices:
0.36
0.64
0.784
0.936
Answer: D
Question: If x is a positive even number, then each of the following is even odd EXCEPT
Choices:
x^2 +4
x^2 + 6x + 9
3x^2 + 4
5(x + 3)
Answer: A
Question: Barbata invests $2400 in the National Bank at 5%. How much additional money must she invest at 10% so that the total annual income will be equal to 6% of her entire investment?
Choices:
600
1000
360
240
Answer: A
Question: The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. What is the length of the rectangle?
Choices:
40cm
30cm
60cm
50cm
Answer: A
Question: 54 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
Choices:
B)77
C)66
D)55
E)67
Answer: B
Question: How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
Choices:
37799
6400
2777
2911
Answer: B
Question: There are 18 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Choices:
167
157
352
380
Answer: D
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
Choices:
885 cm2
285 cm2
825 cm2
725 cm2
Answer: B
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?
Choices:
2678
2977
6150
2769
Answer: C
Question: Car X began traveling at an average speed of 35 miles per hour. After 48 minutes, car Y began traveling at an average speed of 39 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?
Choices:
140
175
210
245
Answer: D
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.9880. Find the share of A?
Choices:
3000
3018
3019
4000
Answer: D
Question: If the cost price of 12 items is equal to the selling price of 16 items, the loss percent is
Choices:
25%
30%
35%
None of these
Answer: A
Question: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Choices:
15 Kmph
21 Kmph
23 Kmph
27 Kmph
Answer: A
Question: Carl is facing very difficult financial times and can only pay the interest on a $10,000 loan he has taken. The bank charges him a quarterly compound rate of 5%. What is the approximate interest he pays annually?
Choices:
$2000
$2150
$2500
$12000
Answer: B
Question: The population of a town is 45000; 5/9th of them are males and the rest females 40% of the males are married. What is the percentage of married females?
Choices:
50%
32%
34%
39%
Answer: A
Question: How many odd numbers are possible between 1 to 100000000? find out the number of odd number of digits?
Choices:
3500
4000
4599
49999999
Answer: D
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing thesame no. by 31
Choices:
4
5
6
7
Answer: B
Question: Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 4 minutes A is turned off. After how much more time will the cistern be filled?
Choices:
6
8 1/4
8 1/2
8 3/7
Answer: A
Question: If √a+√b=a+b means then (√a+√b)^2=?
Choices:
a^2+b^2+2*a*b
a+b
√a^2+√b^2
Cannot be determined
Answer: A
Question: At a particular graduation party with 300 guests, 70% of the guests brought gifts, and 40% of the female guests brought gifts. If 36 males did not bring gifts to the party, how many females did bring gifts?
Choices:
36
42
68
70
Answer: A
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
76 sec
15 sec
17 sec
Answer: A
Question: If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
Choices:
230
364
354
365
Answer: B
Question: There are 300 seniors at Morse High School, and 40% of them have cars. Of the remaining grades (freshmen, sophomores, and juniors), only 10% of them have cars. If 15% of all the students at Morse have cars, how many students are in those other three lower grades?
Choices:
900
1200
1350
1500
Answer: D
Question: Calculate the circumference of a circular field whose radius is 2 centimeters.
Choices:
4
6
8
10
Answer: A
Question: Two trains, each 100 m long are moving in opposite directions. They cross each other in 8 seconds. If one is moving twice as fast the other, the speed of the faster train is
Choices:
60 km/hr
35 km/hr
70 km/hr
80 km/hr
Answer: A
Question: A car crosses a 600 m long bridge in 5 minutes. Whatis the speed of car in km per hour?
Choices:
7.2 km/hr
3 m/sec
4 m/sec
5 m/sec
Answer: A
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
19.1 sec.
17.1 sec.
42.1 sec.
Answer: A
Question: When the positive integer x is divided by 9,the remainder is 5.What is the remainder when 4x is divided by 9?
Choices:
1
2
4
6
Answer: B
Question: In how many ways can 16 different gifts be divided among four children such that each child receives exactly four gifts?
Choices:
(4!)^4
16!/(4!)^4
16!/4!
4^16
Answer: B
Question: Consider below info to be a table:
AMOUNT OF BACTERIA
TIME - AMOUNT
1PM - 10gms
4PM - x gms
7PM - 19.6 gms
Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same factor during each of the two 3-hour periods shown, how many grams of bacteria were present at 4PM ?
Choices:
13.0
12.2
12.3
12.4
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.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Choices:
200
999
277
271
Answer: B
Question: Find the numbers which are in the ratio 3:2:2 such that the sum of the first and the second added to the difference of the third and the second is 20?
Choices:
12,8,8
9,3,32
9,6,12
9,2,23
Answer: A
Question: There is a church tower 150 feet tall and another catholic tower at a distance of 350 feet from it which is 200 feet tall. There is one each bird sitting on top of both the towers. They fly at a constant speed and time to reach a grain in b/w the towers at the same time. At what distance from the church is the grain?
Choices:
160 meters
150 meters
140 meters
130 meters
Answer: B
Question: How many 3-digit numbers are completely divisible 6 ?
Choices:
150
151
166
172
Answer: A
Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
Choices:
1/8
2/5
2/7
1/1
Answer: A
Question: A train running at 1/3 of its own speed reached a place in 9 hours. How much time could be saved if the train would have run at its own speed?
Choices:
10hrs
12hrs
15hrs
6hrs
Answer: D
Question: The ratio of two numbers is 1:3 and the sum of their cubes is 945. The difference of number is?
Choices:
1.23
3.93
3.23
4.23
Answer: C
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Choices:
16 3/3%
16 2/2%
13 2/3%
16 2/9%
Answer: C
Question: If ‘DELHI’ is coded as ‘EFMIJ’, then ‘PUNE’ is coded as
Choices:
QVOF
RFDE
QVOO
YHGT
Answer: A
Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Choices:
15
18
20
22
Answer: A
Question: In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
Choices:
750 cu. m
7500 cu. m
75000 cu. m
7.50 cu. m
Answer: A
Question: The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:
Choices:
6.07%
6.08%
6.09%
6.10%
Answer: C
Question: The compound interest earned on a sum for the second and the third years are $1400 and $1540 respectively. What is the rate of interest?
Choices:
4%
6%
8%
10%
Answer: D
Question: For how many integers pair (x,y) satisfies the result
(1/x)+((1/y)=1/19
Choices:
a)22
c) 10
d) 16
e) 32
Answer: A
Question: P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 30 days to complete the same work. then Q alone can do it in
Choices:
22
25
27
30
Answer: D
Question: 53, 53, 40, 40, 27, 27, ?
Choices:
14
16
18
20
Answer: A
Question: what is the smallest integer that is multiple of 3,7 and 20
Choices:
180
130
122
420
Answer: D
Question: If a: b :: 3 : 7, then what is (5a+6b): (a-4b)?
Choices:
-57:11
11 : 10
-57 : 25
-1 : 10
Answer: C
Question: The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).
Choices:
178.29
178.21
178.19
178.55
Answer: A
Question: If it takes a hrs for x to repair 1 machine and b hrs for y to repair 1 machine then how many hrs will they take to repair 750 machines if they work together?
Choices:
750 × ab/(a+b)
750 ab
750/(a+b)
None of these
Answer: A
Question: In a box of 11 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Choices:
16/33
28/55
38/77
45/88
Answer: B
Question: After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?
Choices:
2298
5000
2871
1171
Answer: B
Question: A tradesman by means of his false balance defrauds to the extent of 30%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
70%
69%
71%
68%
Answer: B
Question: If A earns 99/3% more than B,how much percent does B earn less then A ?
Choices:
14%
25%
15%
35%
Answer: B
Question: The sum of the present ages of a son and his father is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, what will be son's age?
Choices:
40
80
20
10
Answer: C
Question: From the word 'HEARTLESS', how many independent words can be made with-out changing the order of the letters and using each letter only once ?
Choices:
5
3
2
9
Answer: A
Question: By the how much is two-fifth of 150 greater than three -fifths of 25?
Choices:
3
45
30
None of these
Answer: B
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 4 rows or 5 rows or 6 rows, then no tree will be left. Find the least number of trees required
Choices:
60
28
76
21
Answer: A
Question: Baker Adam is storing cake boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each cake box is 8 inches by 7 inches by 5 inches, then what is the maximum number of cake boxes that can be placed in each carton?
Choices:
300
252
225
210
Answer: D
Question: During the second quarter of 1984, a total of 3,976,000 domestic cars were sold. If this was 32% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?
Choices:
2,261,760
2,400,000
3,012,121
3,915,790
Answer: C
Question: What is the difference between the place value and face value of 3 in the numeral 1375?
Choices:
290
297
390
398
Answer: B
Question: A certain sum of money doubles itself in 12 years in how much many years will it trible itself at the same rate?
Choices:
76 years
24 years
44 years
11 years
Answer: B
Question: Jerry, an electrician, worked 6 months out of the year. What percent
of the year did he work? (round answer to the nearest hundredth)
What percent 12 is 6? 12 months = 1 year
Choices:
68.33%
78.33%
50.00%
98.33%
Answer: C
Question: A textile manufacturing firm employees 70 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 70 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. Monthly establishment charges are Rs 75000. If one loom breaks down and remains idle for one month, the decrease in profit is:
Choices:
7000
10000
5000
None of these
Answer: C
Question: Jeya invested an amount of Rs. 9,500 at the rate of 13% p.a simple interest and another amount at the rate of 15% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested?
Choices:
18450
13450
14450
14650
Answer: C
Question: In a classroom, 12 students brought apples and 8 students brought bananas. If exactly 10 students brought only one of the two types of fruits, how many students brought both types of fruits?
Choices:
5
7
12
14
Answer: A
Question: Helen went to the stationers and bought things worth Euro 45, 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:
Euro 15.7
Euro 19.7
Euro 39.7
None
Answer: C
Question: Find the value of 72519 x 9999 = m?
Choices:
355797990
435453490
m=725117481
873430134
Answer: C
Question: At a certain university, 69% of the professors are women, and 70% of the professors are tenured. If 90% of the professors are women, tenured, or both, then what percent of the men are tenured?
Choices:
37.5
50
52.5
75
Answer: C
Question: Two trains of equal lengths take 12 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
13
77
99
21
Answer: A
Question: It's Valentine's day and Alan has promised to cook his girlfriend Alana her favorite meal: fish fingers and custard. Alana will be arriving in one hour exactly. Alan only has a microwave. The fish fingers take 13 minutes to defrost in the microwave and 6 minutes to cook in the microwave. The custard must be prepared after the fish fingers and takes 24 minutes to cook in the microwave and then 6 minutes to cool sufficiently so as not to burn someone's tongue. It will take Alan 1 minute to plate the food. However, Alan is on his Xbox and really wants to play one more game of his football video game before Alana arrives. What is the maximum length of each half of the match that Alan can play to ensure the meal is ready for Alana's arrival?
Choices:
5 min
7 minutes
8 minutes
10 minutes
Answer: A
Question: If X-Y = 2X-2Z, X-2Y = 4Z and X+Y+Z = 21, what is the value of Y/Z?
Choices:
-2.
-1.7.
-0.667.
2.5.
Answer: C
Question: In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 400. Find the average mark scored by all the three boys?
Choices:
192
207
269
208
Answer: A
Question: A man buys an song for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is:
Choices:
<10
>20
>30
<30
Answer: B
Question: An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time B will it take to fill the bucket to full capacity?
Choices:
9/18
2
18/7
18/5
Answer: C
Question: The probability that a number selected at random from the first 100 natural numbers is a composite number is ?
Choices:
3/5
3/4
3/2
5/2
Answer: C
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?
Choices:
19 years
29 years
10 years
12 years
Answer: C
Question: If N = 2^0.20 and N^b = 16, b must equal
Choices:
3/5
20
5/3
80/3
Answer: B
Question: A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
Choices:
29
40
89
22
Answer: B
Question: Cole drove from home to work at an average speed of 30 kmh. He then returned home at an average speed of 90 kmh. If the round trip took a total of 2 hours, how many minutes did it take Cole to drive to work?
Choices:
70
72
75
90
Answer: D
Question: Five years ago, John’s age was half of the age he will be in 6 years. How old is he now?
Choices:
15years
16years
17years
18years
Answer: B
Question: Two trains of length 180 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
266
990
20
23
Answer: D
Question: A trader bought a car at 30% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
110
112
113
98
Answer: D
Question: If s,u, and v are positive integers and 2s=2u+2v, which of the following must be true?
i. s>v
ii. u is not equal to v
iii. s > u
Choices:
I only
II only
III only
I and III
Answer: D
Question: A team of five entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
Choices:
413
168
127
664
Answer: A
Question: A box contains eight bulbs out of which three are defective. If three bulbs are chosen at random, find the probability that all the three bulbs are defective?
Choices:
1/56
1/29
1/36
1/12
Answer: A
Question: The weight of a glass of jar is 40% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar?
Choices:
1/3
2/5
1/2
2/3
Answer: A
Question: The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr the distance travelled downstream in 12 minutes is :
Choices:
2.6 km
3.6 km
4 km
None
Answer: B
Question: In a 1000 m race, A beats B by 60 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
Choices:
154 m
268 m
129 m
218 m
Answer: A
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Choices:
21 years
22 years
23 years
24 years
Answer: C
Question: A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
Choices:
Rs.4
Rs.9
Rs.3
Rs.2
Answer: C
Question: If (A+B) = 5, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?
Choices:
8.
7.
2.
-1.
Answer: D
Question: A club has exactly 5 new members at the end of its first week. Every subsequent week, each of the previous week's new members (and only these members) brings exactly A new members into the club. If B is the number of new members brought into the club during the twelfth week, which of the following could be B?
Choices:
3^11 * 5^11
3^12 * 5^12
3^11 * 5^12
60^12
Answer: C
Question: Rita was running on a 500 metre track at a rate of 100 metres per minute. One minute after Rita started, Liz started running from the same starting point on the track at 150 metres per minute. What is the shortest time that Liz could run on the track in order to meet up with Rita?
Choices:
3 minutes
2 minutes
1.6 minutes
1 minute
Answer: C
Question: If 20 liters of chemical X are added to 80 liters of a mixture that is 25% chemical X and 75% chemical Y, then what percentage of the resulting mixture is chemical X?
Choices:
32%
36%
40%
44%
Answer: C
Question: Two trains start from A & B and travel towards each other at
speed of 50kmph and 60kmph resp. At the time of the meeting the
second train has traveled 100km more than the first.the distance
between them.
Choices:
900 km
1000 km
1100 km
1200 km
Answer: C
Question: John is going with 10 friends on a trip to Sidney for spring break. Airfare and hotel costs a total of $12100.00 for the group of 11 friends. How much does each person have to pay for their hotel and airfare?
Choices:
$1100
$1110
$1101
$1200
Answer: A
Question: 6000 - 5000 ÷ 20.00 = ?
Choices:
500
5750
5000
None
Answer: B
Question: If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 + 3?
Choices:
0
4
2
3
Answer: B
Question: In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did B get?
Choices:
2420
2834
3150
3250
Answer: B
Question: If $30,000 interest is invested in x percent simple annual interest for 5 years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
Choices:
3000x
4500x
1200x
1500x
Answer: D
Question: In what time a sum of money double itself at 3% per annum simple interest?
Choices:
33 1/3%
33 1/2%
33 7/3%
33 5/3%
Answer: A
Question: Solve the given two equations and find the inequality of X and Y. (a) X^2- 365 = 364 and (b) y- (324) ^(1/2) = (81)^(1/2)
Choices:
If x>=y
If x < y
If x<=y
x=y or relationship cannot be established
Answer: C
Question: If x/y = 3/z, then 4x^2 =
Choices:
xy
y²/z²
36y²/z²
15y²/z²
Answer: C
Question: If the sum of the first n positive integers is S, what is the sum of the first n positive integers divisible by 3, in terms of S ?
Choices:
S
2S
3S
4S
Answer: C
Question: An equal number of desks and bookcases are to be placed along a library wall that is 15 meters long. Each desk is 2 meters long, and each bookshelf is 1.5 meters long. If the maximum possible number of desks and bookcases are to be placed along the wall, then the space along the wall that is left over will be how many meters K long?
Choices:
1
1.5
2
3
Answer: A
Question: 20 business executives and 7 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
Choices:
131
330
390
445
Answer: B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 21 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
225
288
267
211
Answer: A
Question: A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B +2C?
Choices:
5A+1.
5A-5.
6A-5.
6A-7.
Answer: B
Question: The average weight of 7 persons increases by 1.5 kg. If a person weighing 65 kg is replaced by a new person, what could be the weight of the new person?
Choices:
77 kg
75.5 kg
Data inadequate
None of these
Answer: B
Question: A company assigns product codes consisting of all the letters in the alphabet.How many product codes are possible if the company uses at most 7 letters in its codes, and all letters can be repeated in any one code?
Choices:
B.456976
C.11881376
D.308915776
E.8353082582
Answer: D
Question: If in a kindergarten class, there are five children 3 feet 4 inches tall (indicated by notation 3'4"), two children 4'3" tall and thirteen children 2'5" tall, which of the following is the median height of the children?
Choices:
2'5"
3'3"
3'4"
4'3
Answer: A
Question: When Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal to 1/2 of the remaining balance, what will be the final balance in her bank account?
Choices:
375
450
500
575
Answer: B
Question: Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?
Choices:
24
38
36
35
Answer: A
Question: A store sells a certain product at a fixed price per unit. At the product's current price, A units cost a total of exactly $300. If the price were lowered by $5 from its current value, then A + 2n units would cost exactly $300; if the price were raised by $5, then A – n units would cost exactly $300. What is the value of A?
Choices:
15
20
25
30
Answer: B
Question: The average weight of 46 students in a class is 52 kg. 5 of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class ?
Choices:
52 15/23
52 15⁄3
43.42
None of these
Answer: A
Question: The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
Choices:
144
777
992
221
Answer: A
Question: If 72/x is an integer and 108/x is an integer, which of the following must be true?
I. 9/x is an integer.
II. 12/x is an integer.
III. 36/x is an integer.
Choices:
III only
I, II, and III
II and III only
I only
Answer: A
Question: Which of the following equations has a solution in common with 2x^2 - 5x - 42?
Choices:
x^2 - 14x + 24 = 0
2x^2 - 8x + 8 = 0
x^2 + 13x + 13 = 0
none of the above
Answer: A
Question: Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
Choices:
10
12
13
14
Answer: A
Question: There are 48 students in a class. Find the numbers of ways in which a committee of 2 students is to be formed?
Choices:
1128
2546
3121
2400
Answer: A
Question: A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?
Choices:
1:00 P.M.
1:30 P.M.
2:30 P.M.
12:30 P.M.
Answer: A
Question: In a certain state, gasoline stations compute the price per gallon p, in dollars, charged at the pump by adding a 3 percent sales tax to the dealer's price per gallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon d in terms of the price per gallon p charged at the pump?
Choices:
d = p/1.21
d= (p-0.18)/1.03
d = p-0.20
d = p/1.03 - 0.18
Answer: B
Question: How many squares are there between 2011 to 2300 ????
Choices:
3
5
6
7
Answer: A
Question: A man sold 10 eggs for 5 rupees and gained 20%. How many eggs did he buy for 5 rupees?
Choices:
12 eggs
14 eggs
16 eggs
None of these
Answer: A
Question: (√27+√243)/√75=?
Choices:
2√3
3√2
3√3
12/5
Answer: D
Question: Two sets of 4 consecutive positive even integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?
Choices:
7
18
24
it cannot be determined from the information given.
Answer: C
Question: In order to fulfill a local school’s request for a cakes, B parents agreed to each bake an equal number of cakes. If p of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for a cakes to be fulfilled?
Choices:
pa/(B(B-p))
pa/B
p/B-p
pa/B
Answer: A
Question: How many 1/2s are there in 37 1/2?
Choices:
75
300
600
700
Answer: A
Question: Find the odd one out:
125, 106, 86, 76, 65, 58, 53
Choices:
86
26
18
222
Answer: A
Question: FIND THE ODD NUMBER:
1,5,11,17,23,29
Choices:
1
4
6
7
Answer: A
Question: How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
Choices:
360
145
346
342
Answer: A
Question: The sum of all the integers k such that –25 < k < 24 is
Choices:
-2
-25
-49
-47
Answer: D