Aptitude and Reasoning Questions

Q:

A person walking 6/7 of his usual rate is 30 minutes late. What is his usual time ?

A) 2 hrs 50 min B) 3 hrs 25 min
C) 3 hrs D) 2 hrs 5 min
 
Answer & Explanation Answer: C) 3 hrs

Explanation:

Let t be the usual time. If the usual rate is 1 unit, then the unusual rate is 6/7.
Balance by the distance,
1 x t = (6/7)(t + 30)
7t = 6(t + 30)
we get t as,
t = 180 minutes = 3 hrs.

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Filed Under: Problems on Numbers
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Q:

The number of solutions of the equation logx2x2+40log4xx-14log16xx3=0 is:

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: D) 3

Explanation:
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Filed Under: Logarithms
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Q:

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

 

Argument :

Use of cell phone is strictly prohibited on the college premises.

 

Assumptions :

 

1. Students using phones on the college premises will be strictly punished.

2. No student is allowed to use a phone on college premises.

 

 

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

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

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Q:

On the occasion of New Year, each student of a class sends greeting cards to the others. If there are 21 students in the class, what is the total number of greeting cards exchanged by the students?

A) 380 B) 420
C) 441 D) 400
 
Answer & Explanation Answer: B) 420

Explanation:

Given total number of students in the class = 21

 

So each student will have 20 greeting cards to be send or receive (21 - 1(himself))

 

Therefore, the total number of greeting cards exchanged by the students = 20 x 21 = 420.

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Q:

Train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 20 seconds. The length of train K is three-fourths the length of train L. What is the ratio of the speed of train K to that of train L   ?

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

Explanation:

Given that train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 15 seconds.

Let the length of train K be Lk and that of train L be Ll

given that Lk = 3/4 Ll

As the train K and L crosses the pole in 30 seconds and 80 seconds respectively,
=> Speed of train K = sk = Lk/30

Speed of train L = sl = Ll/80

Lk = 3/4 Ll
=> sk = 3/4 Ll/(30) = Ll/40

Ratio of their speeds = sk : sl
= Ll/40 : Ll/80

=> 1/40 : 1/80  =  2 : 1

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Filed Under: Problems on Trains
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Q:

In how many different ways can the letters of the word 'ABYSMAL' be arranged ?

A) 5040 B) 3650
C) 4150 D) 2520
 
Answer & Explanation Answer: D) 2520

Explanation:

Total number of letters in the word ABYSMAL are 7

 

Number of ways these 7 letters can be arranged are 7! ways

 

But the letter is repeated and this can be arranged in 2! ways

 

Total number of ways arranging ABYSMAL = 7!/2! = 5040/2 = 2520 ways.

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Filed Under: Permutations and Combinations
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Q:

Mr. and Mrs. Espedido’s property taxes, amounting to $2450, are due on July 1.What amount should the city accept if the taxes are paid eight months in advance and the city can earn 6% compounded monthly on surplus funds?

A) 2354.17 B) 2354
C) 2376 D) 2389
 
Answer & Explanation Answer: A) 2354.17

Explanation:

i=j/m

PV=  FV(1+  i)^-n 

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Filed Under: Compound Interest
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Q:

The food processing industry was touted to be a sunrise industry for India some years ago and, on the face of it , there was little reason to doubt that

Conclusions: 

I. India has an advantage in food processing because of the varied agro-climatic conditions and availabilty of raw materials.

II. Food processing is one of the basic industries which suports our lives.

A) If only conclusion I follows B) If only conclusion II follows
C) If neither I nor II follows D) If both I and II follow
 
Answer & Explanation Answer: C) If neither I nor II follows

Explanation:

Which factors influence the food processing industry cannot be determined from the statement. Hence I does not follow. II does not follow because the statement doesn't give any clue about the industry's centrality to our lives.

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