antoine-444/aqua_rat_dataset huggingface dataset:
Question: A car takes 6 hours to cover a distance of 360 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
50
40
70
65
Answer: B
Question: Two trains start simultaneously from opposite ends of a 160-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 160-km trip in 5 hours. Train Y, travelling at a constant rate, completes the 160-km trip in 3 hours. How many kilometers had Train X traveled when it met Train Y?
Choices:
58
60
62
64
Answer: B
Question: Set S consists of integers {1,2,3,4}. If two numbers are chosen from set S at random, what is the probability that the sum of 2 numbers is more than 6?
Choices:
1/6
2/3
2/5
3/7
Answer: A
Question: What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?
Choices:
2987
2799
1277
9680
Answer: D
Question: One hour after Yolanda started walking from X to Y, a distance of 65 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 5 miles per hour and Bobâs was 7 miles per hour, how many miles had Bob walked when they met?
Choices:
32
33
34
35
Answer: D
Question: The greatest possible length which can be used to measure exactly the length 3m ,6m 85cm, 8m 95 cm is?
Choices:
101cm
5cm
42cm
35cm
Answer: B
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 3 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Choices:
178:3
179:1
179:54
179:45
Answer: C
Question: The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Choices:
46
8826
266
232
Answer: A
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Choices:
120
662
4112
2322
Answer: A
Question: An auto assembly plant performs six functions with each frame that arrives: add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. Once those six tasks are performed, each car goes to a separate building for finishing touches. If these tasks can be arranged along a linear assembly line in any order, except that the axles must be installed before the wheels can be added, how many W ways can the assembly line be arranged?
Choices:
240
360
480
720
Answer: B
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50
88
66
22
Answer: A
Question: A sum of money doubles itself at a compound interest in 15 years . In how may years it will become 8 times ??
Choices:
40 years
45 years
50 years
60 years
Answer: B
Question: In a school there are 20 balls for every 200 players. If the school has 600 players, how many balls are required?
Choices:
45
60
36
14
Answer: B
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150m
159m
250m
152m
Answer: A
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.5
Rs.1
Rs.3
Rs.9
Answer: C
Question: The compound ratio of 1:4, 3:2 and 4:5?
Choices:
1:7
1:2
3:10
1:4
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Choices:
279
277
200
150
Answer: C
Question: if v,w,x,y,z are non negative integer, each less than 11,then how many distinct combinations(w,v,x,y,z) satisfy v(11^4)+w(11^3)+x(11^2)+y(11)+z=151001.
Choices:
1
2
3
4
Answer: A
Question: If 9 is a factor of 2x, then which of the following may not be an integer?
Choices:
6x/54 + 2x/3
(2x+27)/9
(81-4x^2)/81
(2x-3)/3
Answer: A
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
2 8 ½ kmph
8 2 ½ kmph
2 2 ½ kmph
2 1 ½ kmph
Answer: C
Question: A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 9% microphotonics; 14% home electronics; 10% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
Choices:
108°
18°
36°
52°
Answer: A
Question: How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 35 percent alcohol?
Choices:
300/13
20/3
8
39/4
Answer: A
Question: 3,5,8,13,22,__
Choices:
38
39
40
41
Answer: B
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Choices:
3/2
3/6
3/1
3/7
Answer: A
Question: The size of a television screen is given as the length of the screen's diagonal. If the screens were flat, then the area of a square 19-inch screen would be how many square inches greater than the area of a square 17-inch screen?
Choices:
36
16
38
40
Answer: A
Question: The banker's gain of a certain sum due 3 years hence at 10% per annum is Rs. 36. What is the present worth ?
Choices:
Rs. 400
Rs. 500
Rs. 350
None of these
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choices:
12/452
12/455
22/452
12/453
Answer: B
Question: The cost price of a Rs. 100 stock at 4 discount, when brokerage is 1/5% is
Choices:
96.5
96.2
96.8
96.6
Answer: B
Question: If I, J and K are digits and 9IJK is a 4-digit number that is divisible by 5, which of the following is a possible product of I, J and K?
Choices:
48
72
25
94
Answer: C
Question: If 2/3 of A=75% of B=0.6 of C, then A:B:C is
Choices:
3:4:5
4:5:6
9:8:10
None
Answer: C
Question: The average number of shirts with Salman, Ambani and Dalmiya is 54, if all of them reached a shopping mall in Delhi and purchased 8 shirts each of them then average number of shirt each of them now has
Choices:
63
62
can't be determined
None of these
Answer: B
Question: The product of Diana's age, in years, and a third of Rashid's age, in years, is 32. If Diana is 4 years older than Rashid is, then how old is Rashid ?
Choices:
8
9
12
15
Answer: A
Question: A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
Choices:
3.75
2
8
7
Answer: A
Question: Jack and Christina are standing 240 feet apart on a level surface. Their dog, Lindy, is standing next to Christina. At the same time, they all begin moving toward each other. Jack walks in a straight line toward Christina at a constant speed of 3 feet per second and Christina walks in a straight line toward Jack at a constant speed of 3 feet per second. Lindy runs at a constant speed of 10 feet per second from Christina to Jack, back to Christina, back to Jack, and so forth. What is the total distance, in feet, that Lindy has traveled when the three meet at one place?
Choices:
360
380
400
420
Answer: C
Question: Find the area of a parallelogram with base 24 cm and height 16 cm?
Choices:
384 cm2
279 cm2
128 cm2
297 cm2
Answer: A
Question: There are six cards in which it has two king cards. all cards are turned down and two cards are opened what is the possibility to get at least one king.
Choices:
2/5
3/5
4/5
6/5
Answer: B
Question: In a camp,there is a meal for 120 men or 200 children.If 120 children have taken the meal,how many men will be catered to with the remaining meal ?
Choices:
30
40
48
60
Answer: C
Question: For an international Mathematics Olympiad, country D will send six delegates in total — two will be supervisors and four will be contestants. There are 210 ways in which the six delegates can be chosen and there are seven candidates competing for the four contestants’ places available. How many candidates are competing for the two supervisors’ slots available?
Choices:
2
3
4
5
Answer: C
Question: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?
Choices:
16
18
13
19
Answer: C
Question: A train 100 m long pass a telegraph pole in 5 seconds. Find the speed of the train
Choices:
68.4 km/hr
72 km/hr
79.2 km/hr
None
Answer: B
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
33 1/7%
33 1/3%
33 7/3%
33 1/8%
Answer: B
Question: A person's present age is two-fifth of the age of his mother. After
8 years, he will be one-half of the age of his mother. What is the present age of the mother?
Choices:
40
70
30
35
Answer: A
Question: Bill has a collection of new and used trading cards that he stores in two albums. His first album contains 200 cards, 60% of which are used. If 90% of the cards in his second album are used, and 65% of all of his cards are used, what is the total number of trading cards in Billâ€™s collection?
Choices:
260
240
156
254
Answer: B
Question: A phone manufacturer has 4 different types of phones namely: x1, x2, x3, and x4. if x2 costs 12% less than x1 and x3 costs 15% lesser than x2, and x4 costs 5% less than x3. what percent of x1's cost is x4?
Choices:
77.8%
60.7%
80.4%
71.06%
Answer: D
Question: If two 2-digit positive integers have their respective tens digits exchanged, the difference between the pair of integers changes by 4. What is the greatest possible difference between the original pair of integers?
Choices:
80
82
90
94
Answer: B
Question: find cp when sp =Rs 40.60 : gain=16%
Choices:
Rs 36
Rs 47
Rs 30
Rs 35
Answer: D
Question: An error 2% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
Choices:
2.3
3.2
4.04
5.92
Answer: C
Question: Find the day of the week on 16th july, 1776.
Choices:
Monday
Tuesday
Wednesday
Wednesd21
Answer: B
Question: A train 125 m long passes a man, running at 12 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
50 km/hr
36 km/hr
57 km/hr
87 km/hr
Answer: C
Question: Rs.2600 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
Choices:
1600
1800
1900
2000
Answer: A
Question: The value of (.02)2 + (0.52)2 + (0.035)2/ (0.002)2 + (0.052)2 + (0.0035)2
Choices:
100
.001
.0001
.01
Answer: A
Question: There are 2 sections A and B in a class, consisting of 30and 20 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, Find the average of the whole class?
Choices:
37kg
42kg
38kg
29.78kg
Answer: C
Question: In Arun's opinion, his weight is greater than 61 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 64 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ?
Choices:
62.5 kg
46.5 kg
26.5 kg
16.5 kg
Answer: A
Question: When a merchant imported a certain item, he paid a 9 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $67.50, what was the total value of the item?
Choices:
$1,450
$1,750
$2,150
$2,450
Answer: B
Question: The present age of a father is 4 years more than three times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. Find the present age of the father.
Choices:
30
29
40
48
Answer: A
Question: A man can row upstream at 10kmph and downstream at 20kmph. Find man's rate in still water ?
Choices:
15km/hr
10km/hr
20km/hr
7.5km/hr
Answer: A
Question: The difference between a number and its two-fifth is 510. What is 30% of that number?
Choices:
255
252
251
254
Answer: A
Question: By selling an article at Rs.1000, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Choices:
s.600
s.500
s.450
s.550
Answer: A
Question: Out of first 40 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -.
Choices:
16/19
4/5
31/40
3/5
Answer: C
Question: If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,861,997 minutes earlier? (Assume standard time in one location.)
Choices:
6:30
6:27
6:24
6:21
Answer: A
Question: Jacob is now 12 years younger than Michael. If 3 years from now Michael will be twice as old as Jacob, how old will Jacob be in 4 years?
Choices:
7
15
21
13
Answer: D
Question: Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old his son. Then the sum of the present ages of the son and the father is:
Choices:
108
80
110
101
Answer: A
Question: In a 50-mile trip, the first 10 miles were completed at 50 mph. If the average speed for the whole trip was 60 mph, what was the average speed in the last 40 miles?
Choices:
1200/19 mph
1000/17 mph
900/17 mph
800/17 mph
Answer: A
Question: The digital sum of a number is the sum of its digits. For how many of the positive integers 24-140 inclusive is the digital sum a multiple of 7?
Choices:
8
14
15
20
Answer: C
Question: 0.03 x 0.35=?
Choices:
0.000315
0.105
0.0105
0.00105
Answer: C
Question: If x is 20 percent greater than 80, then x =
Choices:
70.4
96
105.6
108
Answer: B
Question: h, b, c, and d are positive integers. If the remainder is 9 when h is divided by b, and the remainder is 5 when c is divided by d, which of the following is NOT a possible value for b + d?
Choices:
19
18
16
15
Answer: D
Question: The average of first 15 natural numbers is?
Choices:
8
9
10
11
Answer: A
Question: Evaluate: 30 - 12÷3×2 = ?
Choices:
22
24
26
28
Answer: A
Question: the sum of 5th and 21th term of A.P. is equal to the sum of 8th , 15th and 13 th term . find the term which is 0
Choices:
10
12
13
14
Answer: A
Question: A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
Choices:
5
7
4
1
Answer: B
Question: In a sports club with 30 members, 17 play badminton and 19 play tennis and 3 do not play either. How many members play both badminton and tennis?
Choices:
8
9
10
11
Answer: B
Question: In an election between two candidates, 75 % of the voters cast their votes, out of which 2% of the
votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the
total number of votes
Choices:
16800
16700
15700
None of these
Answer: A
Question: In a basket 7 apples are available. Jack wants to take 5 apples.In how many ways to choose apples?
Choices:
21
22
30
35
Answer: A
Question: Two numbers N and 14 have LCM = 56 and GCF = 10. Find N.
Choices:
40
44
54
64
Answer: A
Question: The operationis defined for all integers a and b by the equation ab = (a - 1)(b - 1). If x15 = 98, what is the value of x ?
Choices:
8
10
11
12
Answer: A
Question: The price of a certain car this year is $ 42,000, which is 25 percent greater than the cost of the car last year. What was the price of the car last year?
Choices:
$28,000
$31,500
$33,600
$34,500
Answer: C
Question: Find the odd man out
3, 8, 15, 24, 34, 48, 63
Choices:
24
34
48
58
Answer: B
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
8
10
89
81
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
12.42 sec
14.3 sec
9.2 sec
Answer: A
Question: When x divided by 288, the remainder is 47. Find the remainder when the same x is divided by 24?
Choices:
21
23
26
29
Answer: B
Question: What is the last digit in(7^95 - 3^58)?
Choices:
6
4
9
5.5
Answer: B
Question: The sector of a circle has radius of 21 cm and central angle 130o. Find its perimeter?
Choices:
89.6 cm
91.8 cm
92.5 cm
99.5 cm
Answer: A
Question: In a camp, there is a meal for 110 men or 180 children. If 145 children have taken the meal, how many men will be catered to with remaining meal?
Choices:
30
50
21
40
Answer: C
Question: Find the odd man out. 23, 27, 36, 52, 77, 111, 162
Choices:
111
52
27
23
Answer: A
Question: A watch was sold at a loss of 10%. If it was sold for Rs.225 more, there would have been a gain of 5%. What is the cost price?
Choices:
1500
2778
2788
2991
Answer: A
Question: A train 100 m long crosses a platform 125 m long in 2 sec; find the speed of the train?
Choices:
405
200
302
404
Answer: A
Question: If x is an integer, then x(x - 1)(x - m) must be evenly divisible by three when m is any of the following values EXCEPT
Choices:
-2
-1
2
5
Answer: A
Question: A train 400 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
500 m
900 m
967 m
1181 m
Answer: B
Question: sale of Rs 6835, Rs. 9927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 7000 ?
Choices:
2477
2877
7991
8881
Answer: C
Question: What is 990*990?
Choices:
974,219
974,549
980,100
985,369
Answer: C
Question: An ore contains 25% of an alloy that has 90% iron. Other than this, in the remaining 75% of the ore, there is no iron. How many kilograms of the ore are needed to obtain 60 kg of pure iron?
Choices:
275 kg
300 kg
266.66 kg
None
Answer: C
Question: The probability of rain showers in Barcelona on any given day is 0.2. What is the probability that it will rain on exactly one out of three straight days in Barcelona?
Choices:
0.072
0.432
0.72
0.384
Answer: D
Question: A man purchased 3 blankets @ Rs.100 each, 6 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Choices:
A)300
C)450
D)470
E)500
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
240
250
270
Answer: A
Question: What is the compound interest paid on a sum of Rs.700 for the period of 2 years at 10% per annum.
Choices:
620
147
120
None of these
Answer: B
Question: Of the 80 electronics components that a factory must manufacture, 60 percent would be most e¢ ciently manufactured by Machine A and the remaining 40 percent would be most efficiently manufactured by Machine B, though either machine could manufacture any of the 80 components. If 60 percent of the components were manufactured by Machine A and the remainder were manufactured by Machine B, what is thehighest possible number of components that were manufactured by the machine that would manufacture them the most efficiently?
Choices:
80
33
35
36
Answer: A
Question: Raja purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
Choices:
46898
56849
17600
21349
Answer: C
Question: The edges of a cuboid are respectively 3cm, 4cm and 12 cm. Find the length of the diagonal of cuboid.
Choices:
9: 5
9: 1
9: 2
9: 4
Answer: B
Question: When x is divided by y, the quotient is z with remainder r. Which of the following is equal to r?
Choices:
y/x−z
x – y – z
x – yz
zx – y
Answer: C
Question: A miniature gumball machine contains 4 blue, 3 green, and 2 red gumballs, which are identical except for their colors. If the machine dispenses three gumballs at random, what is the probability that it dispenses one gumball of each color?
Choices:
2/7
3/14
5/24
7/24
Answer: A
Question: In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 35 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class ?
Choices:
27
75
29
271
Answer: B
Question: In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many
men will be catered to with the remaining meal ?
Choices:
32 men
34 men
30 men
None of these
Answer: C
Question: A car is purchased on hire-purchase. The cash price is $25 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly installments. Interest is charged at 12% p.a. What is the monthly installment?
Choices:
$504
$505
$560
$600
Answer: D
Question: The ratio between the presents of the A and B is 6:7. If B is 4 years older than A, what will be the ratio of the ages of A and B after 4 years?
Choices:
9:11
7:8
6:7
3:4
Answer: B
Question: The salary of A, B, C, D, E is Rs. 10000, Rs. 5000, Rs. 11000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D, and E per month is
Choices:
Rs. 8400
Rs. 8500
Rs. 9000
None
Answer: A
Question: The triplicate ratio of 1:8 is?
Choices:
1:8
1:7
1:512
1:1
Answer: C
Question: The length of the bridge, which a train 110 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
279
265
288
211
Answer: B
Question: A man and a boy complete a work together in 24 days. If for the last 6 days man alone does the work then it is completed in 26 days. How long the boy will take to complete the work alone?
Choices:
days
days
days
days
Answer: A
Question: Pinky bought six Chocolate at an average price (arithmetic mean) of 5¢. If Pinky returned four chocolate to the retailer, and the average price of the remaining chocolate was 2¢, then what is the average price, in cents, of the four returned chocolates?
Choices:
6.5
4.5
5
6.4
Answer: A
Question: John makes $30 a week from his job. He earns a raise andnow makes $40 a week. What is the % increase?
Choices:
33.33%
33.69%
33.98%
37%
Answer: A
Question: The avearage age of boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is
Choices:
15.5 years
16 years
Cannot be computed
None of these
Answer: C
Question: Shipment --- No. of Defective Chips/shipment --- Total Chips in shipment
S1 ---------------------- 5 ------------------------------------------ 5,000
S2 ---------------------- 5 ------------------- ---------------------- 12,000
S3 ---------------------- 8 ------------------------------------------ 17,000
S4 ---------------------- 7 ------------------------------------------ 16,000
A computer chip manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal the corresponding ratio for shipments S1, S2, S3, and S4 combined, as shown in the table above. What’s the expected number of defective chips in a shipment of 60,000 chips?
Choices:
20
22
30
25
Answer: C
Question: A classroom has equal number of boys and girls. NINE 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:
36
32
48
54
Answer: A
Question: A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
Choices:
35.55 km/hr
71.11 km/hr
36 km/hr
71 km/hr
Answer: B
Question: The average age of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 95 students?
Choices:
1.7 years
1.9 years
2.8 years
None
Answer: C
Question: What decimal fraction is 40 ml of a litre ?
Choices:
.04
.05
0.04
None of these
Answer: A
Question: A certain manufacturer sells its products	to stores in 113 different	regions worldwide, with an average (arithmetic mean) of 181 stores per region. If last year these stores sold an	average of 51,750 units of the manufacturer’s product per store, which of the following is closest to the total number of units of manufacturer’s product	sold	worldwide last	year?
Choices:
10^6
10^7
10^8
10^9
Answer: D
Question: Rajani, Roja and Ramani share a sum of money in the ratio 7 : 8 : 16. If Ramani receives Rs. 27 more than Rajani, then the total money shared was:
Choices:
Rs 49
Rs 93
Rs 69
Rs 77
Answer: B
Question: The positive numbers w, x, y, and z are such that x is 35 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
Choices:
16.0%
20.0%
23.2%
24.8%
Answer: B
Question: What is the average (arithmetic mean) of the numbers 21, 22, 23, 23, 24, and 25?
Choices:
22.5
21
24
23
Answer: D
Question: A train covers a distance of 12 km in 10 min. If it takes 2 sec to pass a telegraph post, then the length of the train is?
Choices:
40
120
60
20
Answer: A
Question: In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
Choices:
21/46
1/50
3/25
None of these
Answer: A
Question: A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?
Choices:
1/3
1/7
1/9
2/3
Answer: A
Question: Three friends (Sarah, Jane and Gina) are employees of a company. Their respective salaries are in the ratio of 1 : 3 : 7. Jane and Gina's salaries together is Rs. 7000. By what percent is Gina's salary than that of Sarah?
Choices:
600%
100%
300%
400%
Answer: A
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
40 sec
45 sec
48 sec
49 sec
Answer: A
Question: A cyclist covers a distance of 750m in 2 min 30sec. What is the speed in km/hr of the cyclist?
Choices:
18
9
5
10
Answer: A
Question: Naresh’s monthly income is 30% more than that of Raghu. Raghu’s monthly income is 20% less than that of Vishal. If the difference between the monthly incomes of Naresh and Vishal is 800, what is the monthly income of Raghu?
Choices:
16,000
12,000
Data inadequate
None of these
Answer: A
Question: A car moves at 45 km/hr. What is the speed of the car in meters per second ?
Choices:
12 1/2 m sec
14 1/9m sec
16 1/2m sec
18 2/9m sec
Answer: A
Question: 1, 9, 17, 33, 49, 73, ?
Choices:
83
85
97
91
Answer: C
Question: Robert ate 7 chocolates, Nickel ate 3 chocolates. How many more chocolates did Robert ate than nickel?
Choices:
4
9
5
2
Answer: A
Question: The cost of 10 kg of mangos is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is $21. Find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?
Choices:
987.8
877.8
898.8
667.4
Answer: C
Question: Which of the following must be true?
1) Every prime number greater than 5 can be written as either as 8n+1 or 8n-1
2) Every prime number greater than 5 can be written as 4n+1 or 4n-1
3) Every number greater than 5 of the form 8n+1 or 8n-1 is a prime number.
Choices:
2,3
1,2
only 1
only 2
Answer: B
Question: The organizers of a week-long fair have hired exactly seven security guards to patrol the fairgrounds at night for the duration of the event. Exactly three guards are assigned to patrol the grounds every night, with no guard assigned consecutive nights. If the fair begins on a Monday, how many different groups of 3 guards will be available to patrol the fairgrounds on the following Saturday night?
Choices:
4
5
6
7
Answer: A
Question: If a certain sample of data has a mean of 23.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?
Choices:
13.5
17.0
15.5
26.5
Answer: C
Question: 5+5 = 10
38+20 = 1858
5+3 = 28
9+1 = 810
8+6 = 214
5+4 = 19
7+3 = ?
Choices:
410
420
430
440
Answer: A
Question: city A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
Choices:
57.5
56
59
60
Answer: A
Question: Calculate the different number of ways 5 boys and 2 girls can sit on a bench?
Choices:
5030
5140
5010
5040
Answer: D
Question: add 15% of 25 and 12% of 45.
Choices:
9.2
11.5
12.3
15
Answer: A
Question: A and B complete a work in 8 days. A alone can do it in 12 days. If both together can do the work in how many days?
Choices:
3.99 days
2.99 days
4.8 days
2.44 days
Answer: C
Question: Three walls have wallpaper covering a combined area of 300 square meters. By overlapping the wallpaper to cover a wall with an area of 180 square meters, the area that is covered by exactly two layers of wallpaper is 30 square meters. What is the area that is covered with three layers of wallpaper?
Choices:
36 Square Meters
42 Square Meters
45 Square Meters
120 Square Meters
Answer: C
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
Choices:
20
66
55
31
Answer: A
Question: (X% of Y) +(Y% of X) is equal to:
Choices:
20% of XY
2% of XY
2% of 100 XY
None
Answer: B
Question: A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?
Choices:
8 3/3 %
8 1/3 %
2 1/3 %
8 6/3 %
Answer: B
Question: What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?
Choices:
42
47
58
79
Answer: A
Question: If cost of 15 eggs be 70 rupees, then find out the cost of 5 dozen eggs.
Choices:
276
500
600
700
Answer: A
Question: If the area of circle is 616 sq cm then its circumference?
Choices:
88
62
27
12
Answer: A
Question: 4 + 4 + 4 + 2 × 4^2 + 2 × 4^3 + 2 × 4^4 + 2 × 4^5 + 2 × 4^6 + 2 × 4^7 =
Choices:
4^16
4^7
4^13
4^10
Answer: D
Question: Jason flips a coin three times. What is the probability B that the coin will land on the same side in all three tosses?
Choices:
1/8
1/4
1/3
1/2
Answer: B
Question: On a windy day, out of every 3 sand dunes formed, only 1 remains. Out of 5 blown-out
sand-dunes, 1 has treasure and only 1 out of 5 sand dunes formed have lucky coupons. Find
the probability that the blown-out sand dune will contain both the things.
Choices:
4/75
2/75
3/5
4/5
Answer: B
Question: A girl purchased “m” number of pens of type “A” at the unit price of “Rs. x” each, “n” number of pens of type “B” at the unit price of “Rs. y” each and “p” number of pens of type “C” at the unit price of “Rs. z” each. Which of the following represents the average price of all the pens taken together?
Choices:
(mx + ny + pz) / (m + n + G)
(mx + ny + pz) / (m + n + p)
(mx + ny + pz) / (m + n + b)
(mx + ny + pz) / (m + n + t)
Answer: B
Question: Two hundred multiples of seven are chosen at random, and 300 multiples of eight are chosen at random. Approximately what percentage of the 500 selected numbers are odd?
Choices:
20%
40%
50%
80%
Answer: A
Question: A man walked a certain distance south and then the same distance plus 7km due west.He is now 13km from his starting point.What are the distances south and west that he walked?
Choices:
5,12
7,12
5,13
6,13
Answer: A
Question: Molly can do a task in 20 days while Sandy can do the task in 30 days. How many days will it take to complete the task if both work together?
Choices:
9
10
12
15
Answer: C
Question: By selling an umbrella for Rs. 300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is:
Choices:
7.5
8
9
10
Answer: B
Question: The maitre 'd at an expensive Manhattan restaurant has noticed that 60% of the couples order dessert and coffee. However, 20% of the couples who order dessert don't order coffee. What is the probability W that the next couple the maitre 'd seats will not order dessert?
Choices:
25%
40%
60%
75%
Answer: A
Question: The time on a clock is 20 minutes past 3. What is the angle between the hands of the clock?
Choices:
20 degrees
45 degrees
50 degrees
30 degrees
Answer: A
Question: A boat ma goes 2km against the current of the stream in 1 hr and goes 1 km along the current in 10 min. how long will it take to go 16 km in stationary water
Choices:
1hr
1hr 15 min
1hr 30 min
4 hr
Answer: D
Question: In a recent election, Ms. Robbins received 8,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 20 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?
Choices:
0.1N + 7,200
0.4N + 7,200
0.12N + 8,000
0.06N + 8,000
Answer: C
Question: The ratio of flour to water to sugar in a recipe is 8:4:3. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 2 cups of water, how much sugar is required?
Choices:
6
4
3
2
Answer: A
Question: It takes 8 high school students, working at identical constant individual rates, 10 hours to paint a certain house. At what time will the house be fully painted if 8 students start painting at 9:00 am and one student, working at the same rate, is added per hour starting at 3:00 pm?
Choices:
5:50 pm
6:00 pm
6:10 pm
6:20 pm
Answer: C
Question: If w=1 and (w-b)/c = 1 which of the following is NOT a possible value of b?
Choices:
-1
0
1
2
Answer: C
Question: Round off the given number to nearest hundreds
8866
Choices:
8800
9000
8600
8900
Answer: D
Question: A football team lost 5 yards and then gained 11. What is the team's progress?
Choices:
4
5
6
8
Answer: C
Question: John throws a coin until a series of six consecutive heads or three consecutive tails appears. What is the probability that the game will end after the seventh throw?
Choices:
1/64
3/16
7/16
9/16
Answer: A
Question: The combined salaries of three brothers is $135,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers?
Choices:
22,000
25,000
30,000
40,000
Answer: C
Question: Q-1) Of the 84 parents who attended a meeting at a
school, 25 volunteered to supervise children during
the school picnic and 11 volunteered both to supervise
children during the picnic and to bring refreshments to
the picnic. If the number of parents who volunteered
to bring refreshments was 1.5 times the number of
parents who neither volunteered to supervise children
during the picnic nor volunteered to bring
refreshments, how many of the parents volunteered to
bring refreshments?
Choices:
36
38
45
42
Answer: D
Question: A school has received 50% of the amount it needs for a new building by receiving a donation of $400 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?
Choices:
$177.78
$100
$277.78
$377.78
Answer: C
Question: A sum of Rs. 2678 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Choices:
1648
2677
2986
2679
Answer: A
Question: Each of three investments has a 20% of becoming worthless within a year of purchase, independently of what happens to the other two investments. If Simone invests an equal sum in each of these three investments on January 1, the approximate chance that by the end of the year, she loses no more than 1/3 of her original investment is
Choices:
90%
70%
60%
40%
Answer: A
Question: If xy not equal 0 and x^2*y^2 -xy = 20, which of the following could be y in terms of x?
I. 1/2x
II. -5/x
III. 4/x
Choices:
II and III
I &II
III
IV
Answer: A
Question: The price of the jewel, passing through three hands, rises on the whole by 74%. If the first and the second sellers 20% and 25% profit respectively find the percentage profit earned by the third seller.
Choices:
10
16
25
30
Answer: B
Question: Write 230,000,000,000 in scientific notation.
Choices:
2.3 x 10*11*eleventh
23 x 10*11*eleventh
23.0 x 10*11*eleventh
230 x 10*11*eleventh
Answer: A
Question: A man bought 40 shares of Rs. 60 at 7 discount, the rate of dividend being 1212%The rate of interest obtained is
Choices:
15.5%
14%
14.15%
14.95%
Answer: C
Question: In a chocolate company, 30 men completed two-fifth of a piece of work in 28 days. How many more men should be employed to finish the rest of the work in 35 more days?
Choices:
36
6
8
7
Answer: B
Question: How many digits will be there to the right of the decimal point in the product of 95.75 and .02554 ?
Choices:
6
7
8
9
Answer: A
Question: A retailer bought a shirt at wholesale and marked it up 80% to its initial price of $45. By how many more dollars does he need to increase the price to achieve a 100% markup?
Choices:
2
3
4
5
Answer: D
Question: In a group of 80 children and 10 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?
Choices:
1160
1080
1210
None of these
Answer: A
Question: If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Yoe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 15 miles ahead of Yoe?
Choices:
60
75
90
105
Answer: C
Question: How many 2x2x2 cubes could fit in a box of 7x9x4?
Choices:
31
30
33
29
Answer: A
Question: A and B’s salaries together amount to Rs. 4,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is B’s salary?
Choices:
1000
2789
2776
2881
Answer: A
Question: If population of certain city increases at the rate of 2%. If population in 1981 was 138915, then population in 1978 was?
Choices:
130000
261000
130903
12690
Answer: C
Question: Which of the following fractions is greater than 8/10 and less than 9/10?
1. 8/10 2. 9/10 3. 1/2 4.8/9 5. 1/3 6. 19/10
Choices:
8/9
9/10
1/2
19/10
Answer: A
Question: For her customer feedback score, Jess wants to average at or above an 8.0 rating. For the month of June, she received the following scores: 7, 8, 8, 7, 9, 9, 6, 6, 8 and 7. By what percent did she fall short of her goal?
Choices:
5%
8%
3.75%
12%
Answer: C
Question: What is the length of a bridge (in meters), which a train 140 meters long and travelling at 45 km/h can cross in 30 seconds?
Choices:
220
235
250
265
Answer: B
Question: Gwen drove an average speed of 15 miles per hour for the first 40 miles of a tripthen at a average speed of 30 miles/hr for the remaining 40 miles of the trip if she made no stops during the trip what was Gwen's avg speed in miles/hr for the entire trip
Choices:
20
45
50
55
Answer: A
Question: Mary drove at an average speed of 40 mph for some time and then at an average speed of 60 mph for the rest of the journey. If she made no stops during the trip and her average speed for the entire journey was 50 mph, for what fraction of the total time did she drive at 40 mph?
Choices:
1/3
1/2
2/3
3/5
Answer: B
Question: If Rs. 782 is divided into three parts, proportional to
1/2:2/3:3/4 find the first part.
Choices:
204
220
230
None of these
Answer: A
Question: Find the average of first 4 multiples of 5?
Choices:
12.5
22.5
31.3
40.8
Answer: A
Question: How many five-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 4 cannot appear more than once in the number.
Choices:
2000
2375
2500
3875
Answer: B
Question: How many different words beginning with O and ending with E can be formed with the letters of the word ORDINATE, so that the words are beginning with O and ending with E?
Choices:
6!
7!
7!/2!
None
Answer: A
Question: (3192 + 6160) / 28
Choices:
350
334
310
None of these
Answer: B
Question: Of the 250 employees at company X, 80 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?
Choices:
30
50
80
100
Answer: D
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 125 resolutions?
Choices:
704 m
454 m
186 m
176 m
Answer: D
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car?
Choices:
960 km
187 km
173 km
266 km
Answer: A
Question: How many multiples of 5 are there between 5 to 75?
Choices:
18
17
13
Cannot be determined
Answer: C
Question: What is the value of x in the equation below?
4 + √(1-3x) = 12
Choices:
12
-21
-12
4
Answer: B
Question: On a Saturday night, each of the rooms at a certain motel was rented for either $40 or $60. If 10 of the rooms that were rented for $60 had instead been rented for $40, then the total rent the motel charged for that night would have been reduced by 20 percent. What was the total rent the motel actually charged for that night ?
Choices:
$800
$1,000
$1,600
$2,400
Answer: B
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
2.78
2.29
2.27
Answer: A
Question: If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will be divisible by 11 ?
Choices:
4x - 9y
x + y + 4
x + y + 5
4x + 6y
Answer: A
Question: If b/x = 7/4 and b/y =7/ 5, then (y -x) =
Choices:
b/7
2b
3b/7
b
Answer: A
Question: A train 880 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
540
500
420
589
Answer: C
Question: A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
Choices:
8 days
5 days
9 days
3 days
Answer: C
Question: Find the next term
8,8,6,2,..?
Choices:
-4
-6
-8
-9
Answer: A
Question: If a: b = 7: 5, b: c = 9: 11, find a: b: c?
Choices:
63: 45: 55
63: 45: 56
63: 45: 50
63: 45: 51
Answer: A
Question: A boy has seven trousers and 8 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
56 ways
58 ways
108 ways
59 ways
Answer: A
Question: The cost of registration at a professional association meeting was $50 per person; a lunch for registrants only was available for an additional $22 per person. If the number of registrants who paid for lunch was 10 more than the number who did not, and if receipts for registration and lunch totaled $61720, how many people paid just for registration at the meeting?
Choices:
800
1,300
500
1,800
Answer: C
Question: A bowl of nuts is prepared for a party. Brand P mixed nuts are 20% almonds and Brand Q's Deluxe nuts are 25% almonds. If a bowl contains a total of 68 ounces of nuts, representing a mixture of both brands, and 15 ounces of the mixture are almonds, how many ounces of Brand Q's Deluxe mixed nuts are used?
Choices:
28
32
44
48
Answer: A
Question: Bill has d animals, 12 of which were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, Bill made neither a profit nor a loss. Which of the following is equal to d?
Choices:
12
18
24
36
Answer: B
Question: Jill, who lives in City C, plans to visit 2 different cities L, and S. She plans to visit each city exactly once and return to City C after the 2 visits. She can visit the cities in any order. In how many different orders can she visit the 2 cities?
Choices:
2
8
9
12
Answer: A
Question: The overall ages of Kumar, Hathim and Rahul is 93 years. 1 decade ago, the ratio of their ages was 2 : 3 : 4. What is the current age of Rahul?
Choices:
38
34
35
33
Answer: A
Question: A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5km/hr, how much time will it take to cover the same distance?
Choices:
35 min
37 min
40 min
50 min
Answer: C
Question: There are 12 pieces of radioactive metal V that look identical. 11 of the pieces give the same radiation count when measured, the 12th piece is a counterfeit and gives a different radiation level, which may be more or less than the other 11. We are given a radiation scale, which can take 2 sets of samples and compare their added up radiation levels to tell us if the sums are the same or if different, which set has the higher level of radiation. What is the minimum number of comparisons we need on this scale to identify the counterfeit sample and to also determine whether it has more or less radiation than the other samples ?
Choices:
3
4
5
6
Answer: A
Question: On dividing a number by 48, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?
Choices:
3
4
5
6
Answer: C
Question: The difference of 2 digit number & the number obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2 ?
Choices:
8
12
14
16
Answer: A
Question: If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is?
Choices:
100
278
168
268
Answer: A
Question: A person crosses a 1800 m long street in 12 minutes. What is his speed in km per hour?
Choices:
4.5
4.8
5.4
9
Answer: D
Question: what is the value of (5)^-5?
Choices:
1/3125
1/658
1/500
1/75
Answer: A
Question: How many four letter words are formed using the letters of the word POLICE?
Choices:
321
330
360
370
Answer: C
Question: We bought a total of 80 books at the store. Math books cost $4 and history books cost $5. The total price was $390. How many math books did we buy?
Choices:
10
30
40
50
Answer: A
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Choices:
18%
78%
14%
38%
Answer: A
Question: A certain sum becomes Rs. 20720 in four years and 24080 in six years at simple interest. Find sum and rate of interest?
Choices:
12
44
66
81
Answer: A
Question: The cost of raw material of a product increases by 30, the manufacturing cost increases by 20 and the selling price of the product increases by 60. The raw material and the manufacturing cost, originally, formed 40 and 60 of the total cost respectively. If the original profit was one-fourth the original manufacturing cost, find the approximation new profit percentage.
Choices:
48.38%
62.48%
42.36%
None of these
Answer: A
Question: The students of a particular class were given two tests for evaluation. Twenty Five percent of the class cleared both the tests and forty five percent of the students were able to clear the first test.
You have to calculate the percentage of those students who passed the first test and were also able to pass the second test. How will you do it?
Choices:
60 %
70 %
80 %
90 %
Answer: A
Question: Find the number of square tiles to cover the floor of a room measuring 3 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Choices:
340
472
471
445
Answer: A
Question: The ratio of boys to girls in Class A is 3 to 4. The ratio of boys to girls in Class B is 3 to 5. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22. If Class A has one more boy and two more girls than class B, how many girls are in Class A?
Choices:
8
10
11
12
Answer: A
Question: An investment T gained an interest payment of $250 each month when the annual interest rate was 8%, how much more should we invest annually if we want to gain 12% more per month with a new annual interest rate of 7.5% ?
Choices:
$9,100
$8,250
$7,300
$7,150
Answer: C
Question: A side of beef lost 35 percent of its weight in processing. If the side of beef weighed 550 pounds after processing, how many pounds did it weigh before processing?
Choices:
355
737
846
1,560
Answer: C
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 6 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
9 a.m
12 a.m
02 a.m
05 a.m
Answer: A
Question: A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
Choices:
2
7
5
3
Answer: B