Aptitude and Reasoning Questions

Q:

A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior ?

A) ²²C₁₀ + 1 B) ²²C₉ + ¹⁰C₁
C) ²²C₁₀ D) ²²C₁₀ - 1
 
Answer & Explanation Answer: D) ²²C₁₀ - 1

Explanation:

The total number of ways of forming the group of ten representatives is ²²C₁₀.
The total number of ways of forming the group that consists of no seniors is ¹⁰C₁₀ = 1 way
The required number of ways = ²²C₁₀ - 1

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Filed Under: Permutations and Combinations
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2 7424
Q:

3 is what percent of 5?

A) 45% B) 60%
C) 72% D) 80%
 
Answer & Explanation Answer: B) 60%

Explanation:

Here it is asked that 3 is what percent of 5

Let 3 is K percent of 5.

=> K x 5/100 = 3

=> K = 300/5 = 60

 

Hence, 3 is 60% of 5.

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8 7423
Q:

Rajesh rows in still water with a speed of 4.5 kmph to go to a certain place and comes back. Find his average speed for the whole journey, if the river is flowing with a speed of 1.5 kmph?

A) 2 kmph B) 4 kmph
C) 6 kmph D) 8 kmph
 
Answer & Explanation Answer: B) 4 kmph

Explanation:

Let the distance in one direction = k kms

Speed in still water = 4.5 kmph

Speed of river = 1.5

Hence, speed in upstream = 4.5 - 1.5 = 3 kmph

Speed in downstream = 4.5 + 1.5 = 6 kmph

Time taken by Rajesh to row upwards = k/3 hrs

Time taken by Rajesh to row downwards = k/6 hrs

Now, required Average speed =Total distanceTotal speed = 2kk3 + k6 = 2k x 186k + 3k = 4 kmph 

 

Therefore, the average speed of the whole journey = 4kmph.

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19 7417
Q:

In a certain code language "nce po tam" means "boys are studying", "me tam sam" means "grapes are sour" and "tam po me" means "boys are grapes". which of the following represents "sour" in that code language?

A) tam B) me
C) sam D) cannot be determined
 
Answer & Explanation Answer: C) sam

Explanation:

nec po tam => boys are studying

 

me tam sam => grapes are sour

 

tam po me => boys are grapes 

 

It is clear that "sam" represents "sour" in that code language.

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Filed Under: Coding and Decoding
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27 7412
Q:

A girl introduced a boy as the son of the daughter of the father of her uncle. The boy is girl's ?

A) Son B) Brother
C) Cousin D) Nephew
 
Answer & Explanation Answer: B) Brother

Explanation:

Brother

Justification: Daughter of uncle's father -- Uncle's sister -- Mother;
Mother's son -- Brother.

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Filed Under: Blood Relations
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13 7410
Q:

Archipelago : Islands :: Massif : ?

A) Caves B) Hillocks
C) Mountains D) Forests
 
Answer & Explanation Answer: C) Mountains

Explanation:

First is a group of the second.

Hence, Archipelago : Islands :: Massif : Mountains.

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Filed Under: Analogy
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3 7409
Q:

From the word 'BEHIND', how many independent words can be made without changing the order of the letters and using each letter only once ?  

A) 4 B) 3
C) 2 D) 1
 
Answer & Explanation Answer: C) 2

Explanation:

The words are BE and HIND 

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Filed Under: Alphabet Test

4 7408
Q:

Choose the correct alternative that will continue the same pattern and replace 'x' in the series 6834,6151,5536,4983,x

A) 4467 B) 4538
C) 4184 D) 4485
 
Answer & Explanation Answer: D) 4485

Explanation:

Each term in the series is obtained by subtracting from the preceding term the number formed by the first three digits of preceding term
So,missing term is 4983-498=4485

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Filed Under: Number Series

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