Aptitude and Reasoning Questions

Q:

Ten years ago, A was half of B in age. If the ratio of their present ages is 3:4, then what will be the total of their present ages?

Answer

Let A's age 10 years ago be x years . Then B's age 10 years ago be 2x years





 Total of their present ages = x + 10 + 2x + 10


= 3x+20


= 3 * 5 + 20 = 35 years


 

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Subject: Problems on Ages

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Q:

A student council of 5 members is to be formed from a selection pool of 6 boys and 8 girls.How many councils can have Jason on the council?

A) 715 B) 725
C) 419 D) 341
 
Answer & Explanation Answer: A) 715

Explanation:

If Jason is on th ecouncil,this reduces the selction pool to only 13 people,out of which we still need to select 4.

 

So, 13C4 = 715

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Q:

Pointing to a photograph, a woman says, "This man's son's sister is my mother-in-law." How is the woman's husband related to the man in the photograph ?

A) son B) nephew
C) grandson D) son-in-law
 
Answer & Explanation Answer: C) grandson

Explanation:

Man's son's sister---Man's daughter.
So, the man's daughter is the mother of the woman's husband. Thus, the woman's husband is the grandson of the man in the photograph.

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Filed Under: Blood Relations
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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Q:

Consider the given statement and decide which of the given assumptions is/are implicit.

Statement :
Shyam tells Gita, " The ways to reach Sri Lanka is through air and water".

 

Assumptions:
1. Gita likes to travel to Sri Lanka.
2. Shyam is fond of advising people.

 

A) Both assumptions 1 and 2 are implicit B) Neither assumption 1 nor 2 is implicit
C) Only assumption 2 is implicit D) Only assumption 1 is implicit
 
Answer & Explanation Answer: B) Neither assumption 1 nor 2 is implicit

Explanation:
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Filed Under: Statement and Assumptions
Exam Prep: Bank Exams

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Q:

The population of a rural region is expected to fall by 2% per year for the next 10 years. If the region’s current population is 100,000, what is the expected population 10 years from now?

A) 81707 B) 91707
C) 61707 D) 71707
 
Answer & Explanation Answer: A) 81707

Explanation:

i=j/m

FV = PV(1 + i)^n

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

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Q:

The Highway police authority put up large boards at regular intervals indicating the speed limit and dangers of over-speeding on the highways.

Assumptions: 

I. Most of the motorists may drive their vehicles within the speed limit on the highways.

II. Motorists generally ignore such cautions and over-speed on the highways.

A) If only assumption I is Implicit B) If only assumption II is Implicit
C) If either I or II is Implicit D) If both I and II are Implicit
 
Answer & Explanation Answer: A) If only assumption I is Implicit

Explanation:

The boards have been put with the assumption that they may have a positive impact.

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Q:

In a box, there are 9 blue, 6 white and some black stones. A stone is randomly selected and the probability that the stone is black is ¼. Find the total number of stones in the box? 

A) 15 B) 18
C) 20 D) 24
 
Answer & Explanation Answer: C) 20

Explanation:

We know that, Total probability = 1

Given probability of black stones = 1/4

=> Probability of blue and white stones = 1 - 1/4 = 3/4

But, given blue + white stones =  9 + 6 = 15

Hence,

3/4 ----- 15

 1   -----  ?

=> 15 x 4/3 = 20.

 

Hence, total number of stones in the box = 20.

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Filed Under: Probability
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

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Q:

If A1, A2, A3, A4, ..... A10 are speakers for a meeting and A1 always speaks after, A2 then the number of ways they can speak in the meeting is 

A) 9! B) 9!/2
C) 10! D) 10!/2
 
Answer & Explanation Answer: D) 10!/2

Explanation:

As A1 speaks always after A2, they can speak only in  1st  to 9th places and 

 

A2 can speak in 2nd to 10 the places only when A1 speaks in 1st place 

 

A2 can speak in 9 places the remaining 

 

 A3, A4, A5,...A10  has no restriction. So, they can speak in 9.8! ways. i.e

 

when A2 speaks in the first place, the number of ways they can speak is 9.8!.

 

When A2 speaks in second place, the number of ways they can speak is  8.8!.

 

When A2 speaks in third place, the number of ways they can speak is  7.8!. When A2 speaks in the ninth place, the number of ways they can speak is 1.8!

 

 

 

Therefore,Total Number of ways they can  speak = (9+8+7+6+5+4+3+2+1) 8! = 92(9+1)8! = 10!/2

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Filed Under: Permutations and Combinations
Exam Prep: CAT , Bank Exams , AIEEE
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