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Quantitative Aptitude

Description: This test is designed for any type of quantitative Reasoning.
Number of Questions: 15
Created by:
Tags: Quantitative ability Relation Between Distance, Speed and Time Time and Distance Time and Work Time, Work and Wages Trigonometry Area 2-D Mensuration
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A man buys an old motorcycle for 7800 and spends 1300 on its repair. If he sells the motorcycle at 14000, what is his gain percentage?

  1. 80%

  2. 63%

  3. 68%

  4. 53.8%

  5. 55%


Correct Option: D
Explanation:

Cost Price (7800 + 1300) = 9100
Selling Price = 14000  Profit = 14000 - 9100 = 4900  Profit % age = (49009100) * 100 = 53.8%

A park 60 m * 40 m has two roads running in the middle of park and rest has been used as lawn. If total area of lawn is 2109 sq m, what is the width of the road?

  1. 2.91 m

  2. 3 m

  3. 1.455 m

  4. 21.09 m

  5. 5.82 m


Correct Option: B
Explanation:

If w is the width of road then, area of road is (100*w) - w2. Also, area of the road is (60 * 40) - 2109 = 291

The average of 20 numbers is zero. How many of them can be greater than zero? (at max.)

  1. 19

  2. 5

  3. 10

  4. 17

  5. 11


Correct Option: A
Explanation:

It means the sum of numbers is zero. So, at least 1 number is less than zero, which is equal to sum of all the numbers. Hence, at maximum, 19 numbers can be greater than 0.

If today is Monday, what will be the day of week after 67 days?

  1. Wednesday

  2. Thursday

  3. Friday

  4. Saturday

  5. Sunday


Correct Option: C
Explanation:

A day is repeated after 7 days. So, after 63 days it will be Monday again and on 64 Tuesday; 65 Wednesday; 66 Thursday and 67 Friday.

X took 2 hours more than Y to cover 30 km. If X doubles his speed, then he would take 1 hour less than Y. X's speed is

  1. 15 kmph

  2. 5 kmph

  3. 6 kmph

  4. 103 kmph

  5. 7.5 kmph


Correct Option: B
Explanation:

If X has speed s, then 30/s - 30/2s = 3.  6s = 30 Or s = 5 kmph

A man, whose present age is 48 years, had the same age as his son's today, at the time of his birth. What was the age of his son 6 years back?

  1. 24 years

  2. 30 years

  3. 18 years

  4. 42 years

  5. 21 years


Correct Option: C
Explanation:

If the present age of son is x, then (48 - x) = x Or 2x = 48  Hence, x = 24 Also, 24 - 6 = 18.  Hence, the answer is 18 years.

The time taken to row a same distance against the stream is triple than in the favour of the stream. Find the ratio of the speed of the stream to the speed of boat in still water.

  1. 1 : 3

  2. 1 : 2

  3. 2 : 1

  4. 3 : 1

  5. 1 : 1


Correct Option: B
Explanation:

Let the speed going upstream be x kmph. Then speed going downstream be 3x kmph. Therefore, (speed of stream) : (speed of boat in still water) = ((3x - x)/2) : ((3x + x)/2) =1 : 2

X completes 40% of his work in 12 days. Then takes the help of Y and Z. Y is 50% efficient as X, Z is 50% efficient as Y. In how many more days will they complete the work?

  1. 18 days

  2. 72/7 days

  3. 6 days

  4. 144 days

  5. 72/3 days


Correct Option: B
Explanation:

When X is doing 40 % of work, it takes 12 days.
When X is doing 60% of work, it takes 18 days. When X + Y + Z or X + 1/2X + 1/4X is doing 60% of work it takes 18/(1 + 1/2 + 1/4) = 72/7 days.

A train running at the speed of 10 metres per second crosses a pole on a platform in 10 seconds and the platform in 20 seconds. What is the length of the platform?

  1. 200 metres

  2. 250 metres

  3. 300 metres

  4. 100 metres

  5. 400 metres


Correct Option: D
Explanation:

 Length of the train = 10 m/s x 10 s = 100 metres Length of the train + length of the platform = 10 m/s x 20 s = 200 metres Length of the platform = (200 - 100) metres = 100 metres

Rahul can do a piece of work in 15 days and Rishabh can do the same work in 10 days. If they work on it together for 5 days, then what fraction of work is left?

  1. 1/6

  2. 2/3

  3. 3/4

  4. 3/5

  5. 4/7


Correct Option: A
Explanation:

Work done by Rahul in 5 days is 5/15. Work done by Rishabh in 5 days is 5/10. Total fraction of work done by Rahul and Rishabh together in 5 days = 5/10 + 5/15 Fraction of work left = 1 - (5/15 + 5/10) = 1/6

A starts walking 40 m in north, then 50 m in east then 70 m in south, then 10 m in west. How far is he from the starting point?

  1. 170 m

  2. 70 m

  3. 40 m

  4. 50 m

  5. 30 m


Correct Option: D
Explanation:

There is a difference of 30 m between north and south, i.e. final position is 30 m south from the starting point. There is a difference of 40 m between east west, i.e. the final position is 40 m east of starting point. This makes a right triangle & distance can be calculated by the pythagoras theoram. ((30)2 + (40)2)1/2 = 50

The usual speed of a man is X. By walking at a speed 4/5th of X, the man reaches his office 10 minutes late. What is the usual time taken to reach the office if he walks with speed X?

  1. 40 minutes

  2. 30 minutes

  3. 20 minutes

  4. 10 minutes

  5. 50 minutes


Correct Option: A
Explanation:

Let Y be the distance. Usual time is Y/X = Z
When speed is 4/5 of X, then time = Y/(4/5X) = 5/4Z Also, 5/4 Z = Z + 10 minutes So, Z = 10 x 4 = 40 minutes

A cube of edge 16 m is melted and recast into identical cubes, each of edge 4 m. What is the percentage increase in the surface area?

  1. 6400%

  2. 75%

  3. 300%

  4. 400%

  5. No change


Correct Option: C
Explanation:

Surface area of old cube = 6A                                        = 6 x 16 m x 16 m  
Surface area of 64 cubes, each of edge 4 m = 64 x 6a2                                                       = 64 x 6 X 4 m x 4 m Percentage increase = ((64 x 6a- 6A2)/6A2) x 100 = 300%

Find the odd one out.

5, 15, 35, 65, 129, 160

  1. 5

  2. 15

  3. 35

  4. 129

  5. 65


Correct Option: D
Explanation:

129 is the only number among the given numbers which is not a multiple of 5. 65 is a multiple of 5. 

A box contains 5 red and 3 green balls, and another box contains 4 white and 5 black balls. A single draw of two balls is made from any one of the boxes. Find the probability of getting a white ball and a black ball.

  1. 5/27

  2. 0

  3. 5/18

  4. 5/9

  5. 5/29


Correct Option: C
Explanation:

1/2 [ (4C1 x 5C1) / 9C2 ] = 5/18

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