Aptitude and Reasoning Questions

Q:

Population of a colony of mosquitoes is increasing by 20% per day. If the population on Monday was 3000, on which day of that week the population would be 5184 ?

A) Thursday B) Friday
C) Tuesday D) Monday
 
Answer & Explanation Answer: A) Thursday

Explanation:

Given monday population = 3000
Per day 20% increase in population.

Tuesday population = 3000 + 3000x20/100 = 3000 + 600 = 3600

Wednesday population =3600 + 3600x20/100 = 3600 + 720 = 4320

Thursday population = 4320 + 4320x20/100 = 4320 + 864 = 5184

So that day is Thursday.

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Filed Under: Percentage
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Q:

In a certain way Derailment is related to Train , Which of the following is related to Aberration in the same way?

A) Market B) Criteria
C) Behaviour D) Condition
 
Answer & Explanation Answer: C) Behaviour

Explanation:

When a Train leaves its usual path Derailment occurs. Similarly, when one's Behave changes its course, aberration in behaviour occurs.

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Filed Under: Analogy

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Q:

What is the SI on Rs.7500/- at the rate of 10% per annum for 5 years?

A) 3750 B) 2750
C) 1750 D) 750
 
Answer & Explanation Answer: A) 3750

Explanation:

S.I=PNR/100

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Filed Under: Simple Interest
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Q:

A Bus is running at 9/10 of its own speed reached a place in 22 hours. How much time could be saved if the bus would run at its own speed ?

A) 1.5 hrs B) 1.7 hrs
C) 2.2 hrs D) 3.5 hrs
 
Answer & Explanation Answer: C) 2.2 hrs

Explanation:

Let the original Speed be "s" kmph
And the usual time be "t" hrs
Given that if the bus is running at 9s/10 kmph the time is 22 hrs
=> [9s/10] x 22 = t x s
=> 99/5 = t
=> t = 19.8 hrs

 

Hence, if bus runs at its own speed, the time saved = 22 - 19.8 = 2.2 hrs.

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Filed Under: Time and Distance
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1 5395
Q:

Two persons K and L can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days ?

A) 1/6 B) 1/3
C) 2/3 D) 1/18
 
Answer & Explanation Answer: A) 1/6

Explanation:

K's one day's work = 1/30
L's one day's work = 1/45
(K + L)'s one day's work = 1/30 + 1/45 = 1/18

The part of the work completed in 3 days = 3 (1/18) = 1/6.

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Filed Under: Time and Work
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Q:

Consider the given arguments as true and decide which of the given assumptions is/are implicit.

Argument :
Public smoking is an offence underthe law.

Assumptions :
1. Smoking is injurious to the health of the person who smoke.
2. Smoke is injurious even to others health in the public places.

 

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

Explanation:
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Q:

O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ?

A) 10 B) 6
C) 35/4 D) 45/4
 
Answer & Explanation Answer: D) 45/4

Explanation:

As clear from the figure itself, triangle OQX and triangle O'PX are similar.

So,

OQ/O'P = OX/O'X

=> OX = (7/9)xO'X

And since, OX + O'X = 20

=> (7/9)xO'X + O'X = 20

=> O'X = 45/4

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Filed Under: Arithmetical Reasoning
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Q:

The total number of prime factors in the expansion

Answer

 


2211 x 75 x 112=> 222 x 75 x 112


 Total number of prime factors is (22+5+2) = 29

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