Aptitude and Reasoning Questions

Q:

A bus starts running with the initial speed of 21 km/hr and its speed increases every hour by 3 km/hr. How many hours will it take to cover a distance of 252 km?

A) 3 B) 5
C) 8 D) 10
 
Answer & Explanation Answer: C) 8

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

50.003% of 99.8÷49.988 = ?

A) 2 B) 0
C) 1 D) 50
 
Answer & Explanation Answer: C) 1

Explanation:

50.003% of 99.8 ÷ 49.988 = ?

 

? ~= (50 x 100/100)/50

 

? ~= (50 x 100)/(100 x 50)

 

? ~= 1

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Filed Under: Simplification
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Q:

Train A takes 45 minutes more than train B to travel a distance of 450 km. Due to engine trouble speed of train B falls by a quarter, so it takes 30 minutes more than Train A to complete the same journey. What is the speed of Train A (in km/hr)?

A) 90 B) 120
C) 100 D) 110
 
Answer & Explanation Answer: C) 100

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Filed Under: Problems on Trains
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Q:

In a computer game, there are builders and destroyers. Together there are 20 of them. Some of them try to build a wall around a castle while the rest try to demolish it. Each of the builders can build the wall alone in 15 hours while any of the destroyers can demolish it in 10 hours. If all 20 builders and destroyers are made active when there is no wall and the wall gets built in 3 hours, how many of them are destroyers?

A) 5 B) 7
C) 6 D) 8
 
Answer & Explanation Answer: C) 6

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Filed Under: Time and Work
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Q:

A sum of Rs 3170 is divided among X, Y and Z such that if Rs 13, Rs 12 and Rs 18 will be diminished from the shares of X, Y and Z respectively, then their shares will be in the ratio 20 : 18 : 21. What is the initial share (in Rs) of Z?

A) 1131 B) 1530
C) 910 D) 1350
 
Answer & Explanation Answer: A) 1131

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Filed Under: Partnership
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Q:

37 trees are planted in a straight line such that distance between any two consecutive trees is same. A car takes 20 seconds to reach the 13th tree. How much more time (in seconds) will it take to reach the last tree?

A) 36 B) 40
C) 57 D) 60
 
Answer & Explanation Answer: B) 40

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Filed Under: Time and Distance
Exam Prep: AIEEE

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Q:

Karan remembers that his sister's birthday is not after 18th August. Karan's mother remembers that Karan's sister birthday is before 20th August but after 17th August. On which date of August is Karan's sister birthday?

A) 18 B) 17
C) 19 D) 20
 
Answer & Explanation Answer: A) 18

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Filed Under: Calendar
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Q:

Which set represents a pythagorean triple?

A) 68, 72, 81 B) 35, 38, 42
C) 27, 38, 42 D) 33, 44, 55
 
Answer & Explanation Answer: D) 33, 44, 55

Explanation:

A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².

Here we know, that 3, 4, 5 are pythagorean triplets as 25 = 9 + 16. Hence, its multiple will also be a pythagorean triple.

 

In the options given, (3 x 11 , 4 x 11 , 5 x 11) = 33, 44, 55 is a pythagorean triplet.  

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Filed Under: Arithmetical Reasoning
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