antoine-444/aqua_rat_dataset huggingface dataset:
Question: Pipe A can fill a tank in 6 hours, pipe B in 18 hours and pipe C in 36 hours. If all the pipes are open, in how many hours will the tank be filled ?
Choices:
2 hours
4 hours
3 hours
None of these
Answer: B
Question: A has work in 6 days and B has work in 8 days.What will be the days that A and B are worked together?
Choices:
24/7
7
24
10
Answer: A
Question: Rs 4000 is divided into two parts such that one part is put out at 3% and the other at 5%. If the annual interest earned from both the investments be Rs 144, find the first part.
Choices:
Rs 2800
Rs 3800
Rs 3500
Rs 3100
Answer: A
Question: Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Choices:
6
4
3
7
Answer: C
Question: In a race with 30 runners where 8 trophies will be given to the top 8 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
Choices:
8^8 ways
7^8 ways
8^7 ways
8^6 ways
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
180 metres
324 metres
150 metres
100 meters
Answer: C
Question: for a computer a password uses five digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?
Choices:
A)1/32
C)1/8
D)2/5
E)1/2
Answer: A
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 50?
Choices:
A)Rs.3400
C)Rs.3988
D)Rs.3949
E)Rs.3923
Answer: A
Question: Maths, Physics and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books. Among all the books, 12 books are soft cover and the remaining are hard-cover. If there are a total of 7 hard-cover books among the maths and physics books. What is the probability W, that a book selected at random is either a hard cover book or a chemistry book?
Choices:
3/20
1/5
1/4
9/20
Answer: D
Question: If a = 1 and b = -2, then (2a^2 + b)(m + y) + (a + b)(m - y) =
Choices:
2x
y - m
x - y
x + y
Answer: B
Question: The number of sequences in which 7 boys can throw a apple, so that the youngest player may not be the last is
Choices:
2400
4320
4500
4550
Answer: B
Question: The sum of the factors of a number is 124. What is the number?
Choices:
Number lies between 50 and 60
Number lies between 60 and 80
More than one such number exists
None of these
Answer: C
Question: Which of the following are divisible by both 2 and 3?
I. 234,124,422
II. 88,865,544,264
III. 5,555,554,678
Choices:
I and II​
II and III
II Only
I​ and III
Answer: A
Question: In a restaurant, the profit is 120% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
49%
90%
100%
None of these
Answer: A
Question: 275 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Choices:
11
14
16
17
Answer: A
Question: A train travelling at a speed of 75 mph enters a tunnel miles long. The train is mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Choices:
3
5
7
8
Answer: A
Question: Minute hand overlaps hour hand in 65 mins. In how many days it will gain 1440 hours ?
Choices:
59.384 days
57.384 days
69.384 days
55.384 days
Answer: A
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
Choices:
1/126
1/26
1/129
1/261
Answer: A
Question: How many seconds will a 700 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30
42
45
50
Answer: B
Question: A soft drink company had 6000 small and 15000 big bottles in storage. If 11% of small 12% of big bottles have been sold, then the total bottles remaining in storage is
Choices:
16010
15060
14930
18540
Answer: D
Question: 60 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
Choices:
45
26
28
19
Answer: A
Question: John had a stock of 400 pens in his bookshop. He sold 50 on Monday, 25 on Tuesday, 80 on Wednesday, 100 on Thursday and 85 on Friday. What percentage of the pens were not sold?
Choices:
15%
86%
42%
55%
Answer: A
Question: The ratio of 2 numbers is 2:7 and their H.C.F. is 18. Their L.C.M. is ?
Choices:
252
521
361
600
Answer: A
Question: In a certain group of 9 members, 3 members teach only French and the rest teach only Spanish or German. If the group is to choose 5-member committee, which must have at least 1 member who teaches French, how many different committee can be chosen ?
Choices:
90
120
110
100
Answer: B
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 2460sq m, the cost of fencing it at 50 ps per meter is?
Choices:
s.129
s.129.76
s.120
s.121
Answer: B
Question: Rs.850 is divided so that 4 times the first share, twice the 2nd share and twice the third share amount to the same. What is the value of the first share?
Choices:
s500
s850
s540
s170
Answer: D
Question: If two dice are thrown simultaneously, then find the probability that the sum of numbers appeared on the dice is 4?
Choices:
7/36
5/36
3/36
12/36
Answer: C
Question: Rani bought more apples than oranges. She sells apples at ₹23 apiece and makes 15% profit. She sells oranges at ₹10 apiece and makes 25% profit. If she gets ₹653 after selling all the apples and oranges, find her profit percentage Q.
Choices:
17.4%
17.9%
18.5%
19.1%
Answer: A
Question: Three candidates contested an election and received 3408, 22908 and 34884 votes respectively. What percentage of the total votes did the winning candidate get ?
Choices:
57%
75%
86%
95%
Answer: A
Question: Chuck's apple tree produces 4 apples for every 2 branches. There are 8 branches on his tree. how many apples will Chuck's tree produce?
Choices:
16
2
4
32
Answer: A
Question: Priya invested some money in 5% stock at 200.If David wants to invest in an equally good 20% stock ,he must purchase a stock worth of :
Choices:
Rs. 600
Rs. 800
Rs. 600
Rs. 500
Answer: B
Question: How many odd 4-digit positive integers W that are multiples of 5 can be formed without using the digit 3?
Choices:
648
900
1296
3240
Answer: A
Question: A and B are running around a circular track of length 120 meters with speeds 12 m/s and 6 m/s in the same direction. When will they meet for the first time?
Choices:
A meets B
A meets D
A meets A
A meets G
Answer: A
Question: If W is the set of all the integers between 29 and 99, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?
Choices:
32
33
34
47
Answer: D
Question: If the sides of a triangle are 26 cm, 24 cm and 15 cm, what is its area?
Choices:
772
180
266
2848
Answer: B
Question: A student was asked to find 4/5 of a number. But the student divided the number by 4/5, thus the student got 45 more than the correct answer. Find the number.
Choices:
80
100
120
140
Answer: B
Question: From the salary of Rahul, 20% is deducted as house rent, 10% of the rest he spends on children’s education and 10% of the balance, he spends on clothes. After this expenditure he is left with Rs 1,377. His salary is?
Choices:
Rs 2,125
Rs 2,100
Rs 2,200
Rs 3,200
Answer: A
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age five years back was
Choices:
14 years.
33 years
38 years
None
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:
16 CM
40 CM
20 CM
50 CM
Answer: B
Question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
40
99
28
12
Answer: A
Question: In a village there are 150 men and 90 women in present time.if in next year population will be P=(a^2 +b^2)^1/2 , and in every year men are reduces 12%.what is population of after 2 year.
Choices:
139
142
143
144
Answer: A
Question: 8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 6 such machines to perform the same job?
Choices:
8 hours
12 hours
14.25 hours
16 hours
Answer: A
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 78000, then the share of A is?
Choices:
s.42000
s.42003
s.42029
s.24029
Answer: A
Question: ?% of 360 = 108
Choices:
30
64
72
None of these
Answer: A
Question: Find smallest prime number is:
Choices:
18
7
15
11
Answer: B
Question: Simplify: 8888 + 888 + 88 + 8
Choices:
9872
9827
9287
None of them
Answer: A
Question: Aphid and Ladybug are investors in a pineapple farm. Aphid owns a 30% stake in it, and Ladybug owns the remaining 70%. The profits this year in pineapples and pineapple byproducts total five million zenny (the national currency of their land). How much zenny should Aphid receive?
Choices:
100000 zenny
150000 zenny
200000 zenny
250000 zenny
Answer: B
Question: The product of 4 consecutive even numbers is always divisible by:
Choices:
384
400
200
250
Answer: A
Question: Walking across campus, a student interviewed a group of students. 20% of the students took a finance class last semester, 50% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Choices:
50%
25%
15%
10%
Answer: D
Question: In a candy dish the ratio of red to yellow candies is 2:5, the ratio of red to green candies is 3:8, and the ratio of yellow ot blue candies is 9:2.what is the maximum total number R of yellow and green candies combined if the maximum combined number of red and blue candies is fewer than 85?
Choices:
189
234
279
309
Answer: C
Question: How many diagonals does a polygon with 23 sides have, if one of its vertices does not connect to any diagonal?
Choices:
159
179
189
209
Answer: D
Question: The difference between a five digit number and the number formed by reversing its digit is not a multiple of
Choices:
4
3
1749
5
Answer: D
Question: Exactly 3/7 of the people in the room are under the age of 21, and exactly 5/14 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
Choices:
35
39
42
65
Answer: C
Question: A sum of money placed at C.I. interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in?
Choices:
88
15
27
20
Answer: B
Question: Of all the students in a certain dormitory, 1/2 are first-year students and the rest are second-year students. If 4/5 of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 1/2 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are second-year students who have not declared a major?
Choices:
1/5
9/20
1/3
2/5
Answer: B
Question: A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of £90 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus production costs) on the sales of these units will be at least £42,000?
Choices:
£120
£140
£160
£180
Answer: C
Question: Find out the wrong number in the given sequence of numbers.
1, 2, 6, 15, 31, 55
Choices:
55
15
31
91
Answer: A
Question: The distance between A&B is 1540km. A person is traveling from A to B at 100km/hr started at 6AM and another person is traveling from B to A at 120km/hr and started at same time. Then at what time they meet together.
Choices:
1PM
3PM
10AM
9AM
Answer: A
Question: Favid has d books, which is 3 times as many as Jeff and 1/2 as many as Paula. How many books do the three of them have altogether, in terms of d?
Choices:
7/3*d
10/3*d
7/2*d
9/2*d
Answer: B
Question: find the next term 2,5,26...
Choices:
45
455
555
677
Answer: D
Question: A man walking at a rate of 10km/hr crosses a bridge in 12 minutes. The length of the bridge is?
Choices:
2000
1667
1254
1112
Answer: A
Question: Which of the following CANNOT be the least common multiple of two positive integers x and y
Choices:
x
y
x + y
x - y^2
Answer: D
Question: Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?
Choices:
15
17
12
19
Answer: A
Question: Which of the following numbers is not prime?
Choices:
50+70
100+67
156-7
103+36
Answer: A
Question: Ram can finish a puzzle in 3 hours and Shyam can do the same in 2 hours. Both of them finish the puzzle and get 15 candies. What is Ram’s share?
Choices:
6
5
8
9
Answer: A
Question: The cost of 10 packets of sugar, each weighing 900 grams is Rs. 28. What will be the cost of 27 packets, if each packet weighs 1 kg?
Choices:
Rs 56
Rs 58.50
Rs 84
None of these
Answer: C
Question: Rs.3080 were divided among Jonathan, Kevin & Dawson in such a way that John had Rs.160 more than Kevin and Dawson had Rs 120 more than John . How much was Kevinâ€™s share?
Choices:
Rs.1130
Rs.1140
Rs.1150
Rs.1160
Answer: D
Question: A furniture store bought chairs for 60% of their list price and sold them for 10% off the list price. What is their percent gain?
Choices:
50
60
75
110
Answer: A
Question: The area of a square garden is A square feet and the perimeter is p feet. If a=2p+26.25, what is the perimeter of the garden, in feet?
Choices:
36
40
42
64
Answer: C
Question: What is the greatest integer m for which the number 20!/10^m is an integer?
Choices:
4
5
6
7
Answer: A
Question: Tough and Tricky questions: Word Problems.
A salesman's income consists of commission and base salary. His weekly income totals over the past 5 weeks have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) income over the next five weeks be to decrease his average weekly income to $400 over the 10-week period?
Choices:
$356
$367
$376
$386
Answer: D
Question: What is the square root of 16, divided by 2?
Choices:
2
122
6
1
Answer: A
Question: One-sixth of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and 1/15 of the non defective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective?
Choices:
2.9%
4.1%
5.6%
6.4%
Answer: B
Question: If 5 spiders make 5 webs in 5 days, then 1 spider will make 1 web in how many days?
Choices:
6
5
4
3
Answer: B
Question: P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 6 days. How many days more will P take to finish the work?
Choices:
30
18
20
22
Answer: A
Question: If p and q are positive integers each greater than 1, and 17(p+1)=28(q+1), what is the least possible value of p+q?
Choices:
42
44
43
none
Answer: C
Question: An article is bought for Rs.1000 and sold for Rs.1100, find the gain percent?
Choices:
10%
33 1/3%
38 1/3%
33 2/3%
Answer: A
Question: By selling a watch for Rs.800/-, a man loses 20% what is that watch cost price?
Choices:
s. 700/-
s. 800/-
s. 850/-
s. 1000/-
Answer: D
Question: 85% of a number is added to 24, the result is the same number. Find the number?
Choices:
267
187
160
122
Answer: C
Question: A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much percent above the cost price were his wares listed?
Choices:
100%
75%
66(2/3)%
NOne
Answer: A
Question: At present, the ratio between the ages of Shekhar and Shobha is 4:3. After 6 years, Shekhar's age will be 26 years. Find out the age of Shobha at present?
Choices:
12
14
15
20
Answer: C
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
156
199
750
155
Answer: C
Question: P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?
Choices:
5 3/5
5 5/7
6
None
Answer: B
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16
18
12
112
Answer: A
Question: Let a be a positive integer. If e is divisible by 2^a and e is also divisible by 3^(2a), then it is possible that e is NOT divisible by
Choices:
3 × 2^a
2 × 3^(2a)
6^a
6^(2a)
Answer: D
Question: If 0.20: x : : 4 : 2, then x is equal to
Choices:
0.3
0.1
0.5
None
Answer: B
Question: Today Mary’s father is four times as old as Mary. Ten years ago, he was 14 times as old. How old is Mary today?
Choices:
9
11
13
15
Answer: C
Question: A father is two times as old as his daughter. 2 decades ago, the age of the father was 12 times the age of the daughter. The current age of the father is
Choices:
44 years
42 years
48 years
49 years
Answer: A
Question: John,Anny, Markov, David and Philip line up at a theatre ticket window. In how many ways can they arrange themselves so that philip is second in line from the window?
Choices:
a 24
c 9
d 6
e 3
Answer: A
Question: A bat is bought for Rs.430 and sold at a gain of 20% find its selling price
Choices:
s.480/-
s.400/-
s.516/-
s.616/-
Answer: C
Question: Average of all prime numbers between 30 to 50
Choices:
37.8
39
39.8
None of these
Answer: C
Question: Water tax is increased by 40% but its consumption is decreased by 40%. The increase or decrease in the expenditure is?
Choices:
16% decrease
8% decrease
8% increase
None of these
Answer: A
Question: The speed of light is approximately 93 * 10^5 miles per second. This approximate speed is how many miles per hour?
Choices:
3,35 * 10^8
11 * 10^8
16 * 10^8
70 * 10^8
Answer: A
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choices:
30 kmph
5 kmph
25 kmph
30 kmph
Answer: A
Question: Bernice's income is 70 percent more than Cathy's income, and Cathy's income is 65 percent less than Camilla's income. What percent of Camilla's income is Bernice's income?
Choices:
52.5%
59.5%
51.5%
55.5%
Answer: B
Question: A popular website requires users to create a password consisting of the digits {1,2,3,4,5,6,7,8}. If no digit may be repeated and each password must be at least 7 digits long, how many passwords are possible?
Choices:
2 x 8!
7! x 8!
15!
16!
Answer: A
Question: In baseball, the batting average is defined as the ratio of a player’s hits to at bats. If a player had anywhere from 6 to 9 at bats in a recent game and had anywhere from 4 to 5hits in the same game, the player’s actual batting average for that game could fall anywhere between
Choices:
0.25 and 0.75
0.30 and 1.00
0.30 and 0.50
0.56 and 0.66
Answer: B
Question: Q, B, C are three consecutive positive integers (Q>B>C). What is the value of the expression 2Q +B +3C?
Choices:
5A+1.
5A-1.
6A-5.
6Q-7.
Answer: D
Question: At the end of a business conference the 18 people present all shake hands with each other once. How many handshakes will there be altogether ?
Choices:
45
153
90
95
Answer: B
Question: If the sum of three consecutive even numbers is 24 more than the average of these numbers, then the largest of these numbers is?
Choices:
12
14
16
17
Answer: B
Question: Aaron will jog from home at 6 miles per hour and then walk back home by the same route at 12 miles per hour. How many miles from home can Aaron jog so that he spends a total of 3 hours jogging and walking?
Choices:
12
16
15
11
Answer: A
Question: How many digits are there to the right of the decimal point in the product of .32546 and 75.21 ?
Choices:
7
8
2
9
Answer: A
Question: Paul is going with 5 friends on a trip to Rome for spring break. Airfare and hotel costs a total of $3600.00 for the group of 6 friends. How much does each person have to pay for their hotel and airfare?
Choices:
$500
$600
$660
$680
Answer: B
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years hence?
Choices:
59
62
70
74
Answer: C
Question: A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
Choices:
12.9
12.6
12.5
12.3
Answer: C
Question: In a sequence of 40 numbers, each term, except for the first one, is 7 less than the previous term. If the greatest term in the sequence is 279, what is the smallest term in the sequence?
Choices:
-2
0
8
6
Answer: D
Question: If the sum of three consecutive even numbers is 30 more than the average of these numbers, then the largest of these numbers is?
Choices:
19
18
17
16
Answer: C
Question: If a coin is tossed three times, what is the probability that on the first toss the coin lands tails, on the second toss the coin lands tails, and on the third toss the coin lands heads.
Choices:
1/8
1/6
1/4
3/8
Answer: A
Question: Source: Knewton
A cyclist's speed varies, depending on the terrain, between 6.0 miles per hour and 14.0 miles per hour, inclusive. What is the maximum distance, in miles, that the cyclist could travel in 6 hours?
Choices:
56
84
98
140
Answer: B
Question: If a dozen of oranges cost $5, what would be the cost of 10 oranges?
Choices:
4.16
4.86
5.1
5.2
Answer: A
Question: If the President and Vice President must sit next to each other in a row with 2 other members of the Board, how many different seating arrangements are possible?
Choices:
16
18
12
18
Answer: C
Question: On a certain farm the ratio of horses to cows is 3:1. If the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 5:3. After the transaction, how many more horses than cows would the farm own?
Choices:
30
40
50
60
Answer: A
Question: If 12 men or 20 women can do a piece of work in 54 days, then in how many days can 9 men and 39 women together do the work?
Choices:
30 days
20 days
80 days
40 days
Answer: B
Question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Choices:
20
83
21
52
Answer: A
Question: A tap can fill a tank in 12 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
13 hrs 30 mins
15 hrs 30 mins
16 hrs 30 mins
17 hrs 30 mins
Answer: A
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Choices:
27 seconds
26 seconds
12 seconds
16 seconds
Answer: C
Question: The average age of three boys is 24 years and their ages are in proportion 2:4:8. What is the age in years of the youngest boy?
Choices:
9
18
12
14
Answer: C
Question: What ratio must a shopkeepermix Peas and Soybean of Rs.16 and Rs. 25/kg, As to obtain a mixture of Rs.19.50 ?
Choices:
9 : 8
11 : 7
13 : 11
14 : 8
Answer: B
Question: Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
Choices:
12:15:16
12:15:19
12:45:15
12:15:11
Answer: A
Question: A man on tour travels first 160km at 64km/hr and the next 160km at 80km/hr. The average speed for the first 320km of the tour is?
Choices:
71.11km/hr
68.78km/hr
75.63km/hr
66.56km/hr
Answer: A
Question: Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, how many cases can Kramer pack in 5 hours?
Choices:
300X/Y.
60Y/X.
120Y/X.
(X + Y)/60.
Answer: A
Question: The volumes of two cones are in the ratio 1 : 35 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Choices:
7:5
7:2
2:2
2:8
Answer: A
Question: A box has exactly 100 balls, and each ball is either red, blue, or white. If the box has 20 more blue balls than white balls, and thrice as many red balls as blue balls, how many white balls does The box has ?
Choices:
4
12
14
16
Answer: A
Question: How many four-digit numbers that do not contain the digits 3 or 6 are there?
Choices:
3584
4096
5040
7200
Answer: A
Question: The H.C.F. of two numbers is 60 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is:
Choices:
300
500
700
900
Answer: D
Question: If 8/ |x| <0, which of the following must be true?
Choices:
x>8
x=8
x=4
x=0
Answer: A
Question: A certain elevator has a safe weight limit of 2,500 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 150 pounds and the average weight of the others being 160 pounds?
Choices:
8
9
10
16
Answer: D
Question: The least common multiple of positive integer e and 3-digit integer n is 690. If n is not divisible by 3 and e is not divisible by 2, what is the value of n?
Choices:
230
460
575
690
Answer: A
Question: Average of five numbers is 20, and the sum of three of the numbers is 48, what is the average of the other 2 numbers?
Choices:
34
29
35
26
Answer: D
Question: If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 + 4?
Choices:
0
5
2
3
Answer: B
Question: In a camp, there is a meal for 140 men or 240 children. If 180 children have taken the meal, how many men will be catered to with remaining meal?
Choices:
35
50
10
40
Answer: A
Question: Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then
Choices:
XB > YD
AX > XB
CY < YD
AX > AB
Answer: A
Question: Lamp A flashes every 6 seconds, Lamp B flashes every 8 seconds, Lamp C flashes every 10 seconds. At a certain instant of time all three lamps flash simultaneously. During the period of 5 minutes after that how many times will exactly two lamps flash? (Please include any flash of exactly two lights which occurs at the 5 minute mark.)
Choices:
22
23
24
25
Answer: B
Question: If p#q denotes the least common multiple of p and q, then W=((12#16)#(18#24)) = ?
Choices:
180
144
108
72
Answer: B
Question: A student committee on academic integrity has 42 ways to select a president and vice president from a group of candidates. The same person cannot be both president and vice president. How many candidates are there?
Choices:
7
9
10
11
Answer: A
Question: 0.35 represents what percent of 70?
Choices:
0.5%
5%
500%
5000%
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
13.9 sec
29.9 sec
14.9 sec
Answer: A
Question: At what time between 3 and 4 o’clock, the hands of a clock coincide?
Choices:
16 4⁄11 minutes past 3
15 5⁄60 minutes to 2
16 4⁄11 minutes to 4
None of these
Answer: A
Question: For which of the following functions is f(q+b)=f(q)+f(b) for all positive numbers q and b?
Choices:
b) f(x)=x+1
c) f(x)=root x
d) f(x)=2/x
e) f(x)= -3x
Answer: D
Question: An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product?
Choices:
676
729
900
1600
Answer: B
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choices:
18/35
18/37
18/29
18/29
Answer: A
Question: The annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years B in which the population would be doubled assuming there is no emigration or immigration is
Choices:
25
B=30
B=35
B=40
Answer: C
Question: A certain drive-in movie theater has total of 12 rows of parking spaces. There are 10 parking spaces in the first row and 11 parking spaces each in the next two rows. In each subsequent row there are 2 more parking spaces than in the previous row. What is the total number of parking spaces in the movie theater?
Choices:
221
321
192
202
Answer: A
Question: When a certain shoe store reduces the price of its best-selling style of shoe by 20 percent, the weekly sales of this style increase by 20 percent. Which of the following best describes the resulting change in the store's weekly revenue from sales of this style of shoe?
Choices:
Revenue decreases by 4%
There is no change in revenue
Revenue increases by 1%
Revenue increases by 10%
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:
9687
9685
9682
9680
Answer: D
Question: A boy swims downstream 56 km and upstream 42 km taking 7 hours each time; what is the speed of the current?
Choices:
4
3
2
1
Answer: D
Question: Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Four years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Choices:
40
27
32
None of these
Answer: C
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.5 per sq m?
Choices:
675, Rs.3375
1350, Rs.675
1450, Rs.775
1550, Rs.875
Answer: A
Question: In an exam, Amar scored 84 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
Choices:
437.33
537.33
637.33
497.33
Answer: A
Question: Sujal covers a distance in 40 min , if she drives at a speed of 60 km/h on an average. Find the speed at which she must drive at to reduce the time of the journey by 25%.
Choices:
70 km/h
75 km/h
80 km/h
85 km/h
Answer: C
Question: There are 800 military people in a division of the army. There is one Officer for every 15 soldiers in that division. Now the question is how many officers are in the division?
Choices:
32
37
73
75
Answer: A
Question: Last year a certain bond price with a face value of 5000 yielded 7% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?
Choices:
5325
5385
6000
6154
Answer: B
Question: A carpenter worked alone for 1 day on a job that would take him 6 more days to finish. He and another carpenter completed the job in 5 more days. How many days would it have taken the second carpenter to do the complete job working alone?
Choices:
7.5
9.5
17.5
24.5
Answer: C
Question: The perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
85 cm2
65 cm2
40 cm2
35 cm2
Answer: C
Question: The distance from City A to City B is 180 miles. While driving from City A to City B, Cara drives at a constant speed of 30 miles per hour. Dan leaves City A 120 minutes after Cara. What is the minimum constant speed in miles per hour that Dan must exceed in order to arrive in City B before Cara?
Choices:
45
46
48
50
Answer: A
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 4 employees to 3 different offices?
Choices:
64
66
67
68
Answer: A
Question: Two 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:
7
9
1
5
Answer: A
Question: what is the remainder when 4.4!*5.5!*6.6!...........19*19! is divided by 64
Choices:
0
2
3
4
Answer: A
Question: If a, b are integers and |a-b|=6, which of the following is the smallest possible value of ab?
Choices:
0
16
-9
40
Answer: C
Question: Two pipes P and Q can fill a cistern in 16 and 18minutes respectively. Both are opened together, but at the end of 4 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
13 1/2
13 1/3
13 1/5
13
Answer: A
Question: Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?
Choices:
35
37
39
40
Answer: A
Question: If the positive integer x is a multiple of 176 and the positive integer 222 is a multiple of 6, then xy must be a multiple of which of the following?
I. 7
II. 44
III. 41
Choices:
II only
I and III only
II and III only
I, II, and III
Answer: A
Question: How many times in a day, are the hands of a clock in straight line but opposite in direction?
Choices:
22
24
32
48
Answer: A
Question: Express a speed of 36 kmph in meters per second?
Choices:
10
88
299
22
Answer: A
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
5.78
5.76
5.71
5.72
Answer: B
Question: How many ways can 7 friends be arranged around a circular dinner table?
Choices:
B)48
C)96
D)120
E)720
Answer: D
Question: In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?
Choices:
8*9!
7*9!
9*8!
None
Answer: A
Question: The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 240 m, its area is?
Choices:
882
277
261
120
Answer: D
Question: A store reduced the price of all items in the store by 9% on the first day and by another 10% on the second day. The price of items on the second day was what percent of the price before the first reduction took place?
Choices:
80.9
81.0
81.1
81.9
Answer: D
Question: The average marks of Riya,Siya,Lisa was 80. The average marks of Siya,Lisa,Hena was 85. If marks of Hena be 84, what was the mark of Riya?
Choices:
69
37
42
None of these
Answer: A
Question: 200 + 8 × 4 = ?
Choices:
232
420
209
None of these
Answer: A
Question: What is the unit digit in {(6374)1793 x (625)317 x (341491)}?
Choices:
0
2
3
None
Answer: A
Question: 1/2, 1/4, 1/8, 1/16, 1/32, ....
In the sequence above each term after after the first one-half the previous term. If x is the FOURTH term of the sequence, then x satisfies which of the following inequalities?
Choices:
0.0625
0.1
1
1.1
Answer: A
Question: Machine A and machine B process the same work at different rates. Machine C processes work as fast as Machines A and B combined. Machine D processes work three times as fast as Machine C; Machine D’s work rate is also exactly four times Machine B’s rate. Assume all four machines work at fixed unchanging rates. If Machine A works alone on a job, it takes 7 hours and 40 minutes. If all four machines work together on the same job simultaneously, how many minutes will it take all of them to complete it?
Choices:
19
21
23
25
Answer: C
Question: Which one of the following is a prime number?
Choices:
61
49
75
91
Answer: A
Question: The sum of three consecutive integers is 102. Find the lowest of the three?
Choices:
67
98
33
26
Answer: C
Question: Every letter in the alphabet has a number value that is equal to its place in the alphabet. Thus, the letter A has a value of 1, the letter B has a value of 2, the letter C has a value of 3, etc... The number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word. What is the number value of the word "CAT"?
Choices:
54
63
72
81
Answer: C
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.144 in 4 Years?
Choices:
4%
3%
9%
1%
Answer: A
Question: A can finish a work in 12 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
Choices:
5
4
7
8
Answer: B
Question: If a and b are both even numbers, which of the following is an even number?
Choices:
a + b+b
ab+1
ab + 3
NOne
Answer: A
Question: There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.
When everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.
So they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.
Finally, they woke up the 7th thief and this time the diamonds were divided equally.
How many diamonds did they steal in total?
Choices:
1981
1991
1971
None of the above
Answer: A
Question: There are seven pairs of black shoes and 5 pairs of white shoes .Tey all are put into a box and shoes are drawn at a time.To ensure that at leat one pair of black shoes are taken out,what is the number of shoes required to be drawn out.
Choices:
13
7
18
19
Answer: C
Question: How many numbers between 1000 and 5000 are exactly divisible by 225?
Choices:
18
19
12
13
Answer: A
Question: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?
Choices:
4 3/6 km
4 3/8 km
4 9/8 km
7 3/8 km
Answer: B
Question: The radius of a cone is 8 m, height 6 m. Find the slant height?
Choices:
10
15
20
25
Answer: A
Question: What is the length of a running train P crossing another running train Q?
I.These two trains take 18 seconds to cross each other.
II.These trains are running in opposite directions.
III.The length of the train Q is 180 metres.
Choices:
II only
III only
All I, II and III are required
Even with I, II and III, the answer cannot be obtained.
Answer: D
Question: In a box, there are 3 blue, 7 white and 4 yellow bulbs. One bulb is picked up randomly. What is the probability that it is neither white nor blue?
Choices:
4/14
8/32
2/32
9/32
Answer: A
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
Choices:
27
29
47
28
Answer: C
Question: A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is?
Choices:
18
17
12
12
Answer: C
Question: John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 45 miles per hour, what is v in miles per hour?
Choices:
40
50
55
70
Answer: A
Question: Tabby is training for a triathlon. She swims at a speed of 1 mile per hour. She runs at a speed of 9 miles per hour. She wants to figure out her average speed for these two events. What is the correct answer for her?
Choices:
5.25 mph
3.5 mph
5 mph
0.5 mph
Answer: C
Question: On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 50 percent of the sales representatives prefer to stay at Hotel XYZ and 50 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?
Choices:
36
42
48
51
Answer: C
Question: In a certain province in America there are 15 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment?
Choices:
105
330
14!
15!
Answer: A
Question: A certain tax rate is $65 per $100.00. What is the rate, expressed as a percent?
Choices:
6.5%
0.82%
65%
0.0065%
Answer: C
Question: in a bus left side are 15 seats available,3 few seats in right side because in rear exit door .Each seat hold 3 people.In addition ,there is a seat back can sit 10 people all together .how many people can sit in a bus?
Choices:
49
91
88
66
Answer: B
Question: Carl can wash all the windows of his house in 6 hours. His wife Maggie can wash all the windows in 6 hours. How many hours will it take for both of them working together to wash all the windows?
Choices:
2 1/4
3
4 1/2
5
Answer: B
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Choices:
299
322
345
312
Answer: B
Question: In "Clash Royal" App Game, Warrior "The Bomber" is a very good defensive options. It can be purchased from the card shop.
The cost of the bomber is quite interesting.
The Cost of 1st bomber is: 2
The Cost of 2nd bomber is: 4
The Cost of 3rd bomber is: 6
The Cost of 4th bomber is: 8
The Cost of 5th bomber is: 10
i.e to buy 5 bombers you need 2+4+6+8+10 = 30 coins.
How many bombers can you buy using 1000 coins ? ?
Choices:
53
62
71
75
Answer: B
Question: Which of the following has 12^60 as a factor?
Choices:
24^60
40^80
60^60
90^80
Answer: A
Question: In a group of 150 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?
Choices:
0.4
0.65
0.75
0.85
Answer: A
Question: A sum of money doubles itself at compound interest in 15 years. In how many years will it become eight times?
Choices:
45 years
42 years
38 years
None
Answer: A
Question: In a school the number of girls is 30% the number of boys. Find the number of boys as a percentage of girls?
Choices:
12%
333%
150%
16%
Answer: B
Question: The average age of 8 men is increased by 2 years. When two of them, whose ages are 20 years and 24 years respectively are replaced by two women. What is the average age of these women?
Choices:
30 years
40 years
42 years
None of these
Answer: A
Question: CONVERT 2.0 hectares in ares
Choices:
160 ares.
180 ares.
200 ares.
250 ares.
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.2
Rs.3
Rs.6
Answer: C
Question: The distance between West-Town to East-Town is 15 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 2 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?
Choices:
7.
10.
12.
15.
Answer: B
Question: In the above number, A and B represent the tens and units digits, respectively. If the above number is divisible by 35, what is the greatest possible value of B x A?
Choices:
10
20
30
35
Answer: D
Question: The number of new words that can be formed by rearranging the letters of the word 'ALIVES' is?
Choices:
278
719
278
272
Answer: B
Question: What least number must be substracted from 427398 so that the remaining number is divisible by 15?
Choices:
3
11
16
17
Answer: A
Question: Students of three different classes appeared in common examination. Pass average of 10 students of first class was 50%, pass average of 15 students of second class was 60% and pass average of 25 students of third class was 80% then what will be the pass average of all students of three classes?
Choices:
75%
68%
72%
None
Answer: B
Question: The value of ((x – y)³ + (y - z)³ + (z – x)³)/(8 (x – y) (y – z) (z – x))
is equal to :
Choices:
1/12
3/8
1/4
1/3
Answer: B
Question: A committee of three students has to be formed. There are four candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible?
Choices:
3
5
6
8
Answer: A
Question: Find the unknown term
8,8,6,2,-4, X
Choices:
-12
6
8
9
Answer: A
Question: A person is traveling at 60 km/hr and reached his destiny in 4hr.30m then find the distance?
Choices:
270km
246km
196km
205km
Answer: A
Question: In the particular apartment , 65% reading business magazines at the same time 85% reading fashion magazines.If 70% are reading business magazines then what percentage of people reading fashion magazines?
Choices:
36
65
28
37
Answer: A
Question: The sum of 3 consecutive numbers is definitely
Choices:
Divisible by 2.
Divisible by 5.
Divisible by 4.
Divisible by 3.
Answer: D
Question: Can you think of any three dimensional object that comprises of just two surfaces?
Hint: A piece of paper practically has 6 surfaces as the edges are also counted. Thus if you were thinking of that, it will be a wrong answer.
Choices:
A cone
A Square
A triangle
A dimond
Answer: A
Question: In how many ways the letter of the word "Family" can be when F and Y occur together?
Choices:
24
240
48
60
Answer: B
Question: (4.75 x 4.75 x 4.75 + 1.25 x 1.25 x 1.25) / ( 4.75 x 4.75 + 1.25 x 1.25 - 4.75 x 1.25) = ?
Choices:
6
7
8
9
Answer: A
Question: If a person throw 2 dice simultaneously then find the probability of the sum of dots is 3 multiply ?
Choices:
1/3
2/5
7/9
1/4
Answer: A
Question: A train ,120 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is
Choices:
255 m
235 m
220 m
240 m
Answer: A
Question: In how many different number of ways 8 men and 5 women can sit on a shopa which can accommodate persons?
Choices:
1716
230
250
270
Answer: A
Question: In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 18 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Choices:
105%
120%
144%
138%
Answer: C
Question: What is the area of square field whose side of length 15 m?
Choices:
225 sq m
298 sq m
267 sq m
231 sq m
Answer: A
Question: On a certain day, Tim invested $500 at 10 percent annual interest, compounded annually, and Lana invested 1,000 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years?
Choices:
$2.5
$50
$100
$105
Answer: A
Question: A train having a length of 1/4 mile , is traveling at a speed of 75 mph. It enters a tunnel 3 ½ miles long. How long does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Choices:
3 min
3.4 min
5.5 min
5.7 min
Answer: A
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is ?
Choices:
1/6
1/5
1/0
1/1
Answer: B
Question: A certain board game has a row of squares numbered 1 to 100. If a game piece is placed on a random square and then moved 7 consecutive spaces in a random direction, what is the probability R the piece ends no more than 7 spaces from the square numbered 49?
Choices:
8%
14%
15%
28%
Answer: D
Question: Jacob is 12 years old. He is 3 times as old as his brother. How old will Jacob be when he is twice as old?
Choices:
14
15
16
17
Answer: C
Question: A train 100 m long crosses a platform 100 m long in 12 sec; find the speed of the train?
Choices:
60 kmph
54 kmph
16 kmph
18 kmph
Answer: A
Question: A company consists of 10 senior and 10 junior staff officers. If a committee is created with 3 senior and 2 junior staff officers, in how many ways can the committee be formed?
Choices:
3500
4800
5400
2400
Answer: C
Question: Can Z and can В are both right circular cylinders. The radius of can Z is twice the radius of can B, while the height of can Z is half the height of can B. If it costs $4.00 to fill half of can B with a certain brand of gasoline, how much would it cost to completely fill can Z with the same brand of gasoline?
Choices:
$2
$4
$8
$16
Answer: D
Question: If annual decrease in the population of a town is 5% and the present number of people is 40000 what will the population be in 2 years?
Choices:
26450
36100
38920
45200
Answer: B
Question: In Town P, 60 percent of the population are employed, and 45 percent of the population are employed males. What percent of the employed people in Town P are females?
Choices:
25%
30%
35%
40%
Answer: A