Aptitude and Reasoning Questions

Q:

The value of x satisfying the following relation:

log12x = log23x-2

A) 1/3 B) -1/3
C) 3 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

But at x=-1/3, log x is not defined.

 

The only admissible value of x is 1.

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Filed Under: Logarithms
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Q:

Errata : Books :: flaws :?

A) Speech B) Manuscripts
C) Charter D) Metals
 
Answer & Explanation Answer: D) Metals

Explanation:

Errata comprises from the books. Similarly, Flaws are the defects in the metals.

Hence, Errata : Books :: flaws : Metals.

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Filed Under: Analogy
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Q:

 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

A) 16 B) 12
C) 8 D) 4
 
Answer & Explanation Answer: A) 16

Explanation:

Let the required number of bottles be x.

 

More weavers, More mats (Direct Proportion)

 

More days, More mats (Direct Proportion)

 

 

weavers  4:8} :4:xdays        4:8}:4:x 

4 x 4 x x = 8 x 8 x 4

 

=> x = 8*8*44*4

 

=> x = 16.

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Filed Under: Chain Rule

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Q:

Third proportion of 10 and 20 is

A) 30 B) 40
C) 25 D) 20
 
Answer & Explanation Answer: B) 40

Explanation:

The third proportional of two numbers p and q is defined to be that number r such that

p : q = q : r.

 

Here, required third proportional of 10 & 20, and let it be 'a'

=> 10 : 20 = 20 : a

10a = 20 x 20

=> a = 40

 

Hence, third proportional of 10 & 20 is 40.

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Filed Under: Average
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Q:

The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. what is the age of the youngest child ?

A) 4 B) 8
C) 10 D) None
 
Answer & Explanation Answer: A) 4

Explanation:

Let x = the youngest child. Each of the other four children will then be x+3, x+6, x+9, x+12. 

 

We know that the sum of their ages is 50 .

 

so, x+(x+3)+(x+6)+(x+9)+(x+12) = 50

 

=>  x= 4

 

 The youngest child is 4 years old.

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Filed Under: Problems on Ages

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Q:

If the ratio of two squares is 225:256,then the ratio of the perimeters is

A) 25:16 B) 15:16
C) 16:15 D) 17:16
 
Answer & Explanation Answer: B) 15:16

Explanation:

a2b2=225/256

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Filed Under: Area
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Q:

Two boys and a girl can do a work in 5 days, while a boy and 2 girls can do it in 6 days. If the boy is paid at the rate of 28$ a week, what should be the wages of the girl a week ?

A) 24 $ B) 22 $
C) 16 $ D) 14 $
 
Answer & Explanation Answer: C) 16 $

Explanation:

Let the 1 day work of a boy=b and a girl=g, then
2b + g = 1/5 ---(i) and
b + 2g = 1/6 ---(ii)
On solving (i) & (ii), b=7/90, g=2/45
As payment of work will be in proportion to capacity of work and a boy is paid $ 28/week,
so a girl will be paid 28×245790 = 16 $.

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Filed Under: Time and Work
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Q:

In a certain code language, "Tom Kun Sud" means "Dogs are barking" , "Kun Jo Mop" means "Dogs and horse" and "Mut Tom Ko" means "Donkeys are mad". Which word in that language means "barking"?

A) Sud B) kun
C) Jo D) Mop
 
Answer & Explanation Answer: A) Sud

Explanation:

In the first and second sentences common word is Dogs and common code is Kun. In the first and third sentences common word is are and common code is Tom. Therefore Sud = baking

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Filed Under: Coding and Decoding

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