Common Admission Test (CAT) Questions and Answers with Explanation

Q:

8 is related to 81 in the same way as 64 is related to ____

A) 225	B) 425
C) 525	D) 625

Answer & Explanation Answer: D) 625

Explanation:

The relationship is $x^{y} : {(x + 1)}^{(y + 1)}$

Now , $64 = 4^{3}$

So, required number = ${(4 + 1)}^{(3 + 1)}$ = $5^{4}$ = 625

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Filed Under: Analogy
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Q:

Two numbers are 35% and 42% are less than a third number .How much percent is the second number less than the first ?

A) 10.769 %	B) 11.23 %
C) 10.4 %	D) 9.87 %

Answer & Explanation Answer: A) 10.769 %

Explanation:

I II III

65 58 100

65 -------- 7
100 ------ ? => 10.769%

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Filed Under: Percentage
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Q:

Raju got married 8years ago. His present age is 6/5 times his age at the time of his marriage Raju's sister was 10years younger to him at the time of his marriage. The present age of Raju's sister is ?

A) 30	B) 32
C) 38	D) None

Answer & Explanation Answer: C) 38

Explanation:

Let Raju's age at the time of his marriage = X years

Then from given data

=> X + 8 = 6/5 X

X = 40.

Since got married 8 years ago, his present age = 48

His sister is 10 years younger => 48 - 10 = 38 years.

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Filed Under: Problems on Ages
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Q:

Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is ?

A) 5	B) 4
C) 7	D) 6

Answer & Explanation Answer: A) 5

Explanation:

Let the number be x. Then,

$3 x^{2}$ - 4x = x + 50

$3 x^{2}$ - 5x - 50 = 0

(3x + 10)(x - 5) = 0

x = 5

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Filed Under: Arithmetical Reasoning
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Q:

A sum of money triples itself in 8 years simple interest. Find the rate of percent per annum?

A) 30%	B) 25%
C) 22%	D) 18%

Answer & Explanation Answer: B) 25%

Explanation:

The rate of percent R is given by,

exp.

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Filed Under: Simple Interest
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Q:

Eye Test Logical Challenge

A) 15	B) 14
C) 16	D) 17

Answer & Explanation Answer: A) 15

Explanation:

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Filed Under: Logic Puzzles
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Q:

What is the smallest number by which 2880 must be divided in order to make it into a perfect square ?

A) 2	B) 3
C) 4	D) 5

Answer & Explanation Answer: D) 5

Explanation:

By trial and error method, we get
2880/3 = 960 is not a perfect square
2880/4 = 720 is not a perfect square
2880/5 = 576 which is perfect square of 24
Hence, 5 is the least number by which 2880 must be divided in order to make it into a perfect square.

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Filed Under: Numbers
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Q:

Optical fiber works on the principle of

A) Scattering	B) interference
C) total internal reflection	D) refraction

Answer & Explanation Answer: C) total internal reflection

Explanation:

Optical_fiber_works_on_the_principle_of1556277954.jpg image

Optical fiber works on the principle of total internal reflection.

The Total Internal Reflection is the phenomenon in which the complete reflection of a light ray reaching an interface with a less dense medium when the angle of incidence exceeds the critical angle.

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Filed Under: Physics
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