CAT Questions

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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14 18007
Q:

'P' walked 1 km towards south direction and turned  90oACW and walked 2 km. Then he turned his left and walked 1 km and then he turned his right and walked 2 km. After that he turned 90o ACW and walked 3 km. How far is he from the starting point ?

A) 5 km B) 4 km
C) 2 km D) 0 km
 
Answer & Explanation Answer: A) 5 km

Explanation:
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Filed Under: Direction Sense Test
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85 18001
Q:

The simple interest on Rs.10 for 4 months at the rate of 3 paise per month is

A) 0.3 Paise B) 1.2 Paise
C) 30 Paise D) 3 Paise
 
Answer & Explanation Answer: B) 1.2 Paise

Explanation:

Given Principal amount P = Rs. 10

 Time T = 4 months

 Rate of interest R = 3 ps

 Interest I = PTR/100 = (10 x 4 x 3)/100 = 12/10 = 1.2 paise.

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7 17995
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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40 17981
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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47 17980
Q:

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 xy  :  x+1y+1

 

Now , 64 = 43

 

So, required number = 4+13+1 = 54 = 625

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Filed Under: Analogy
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129 17925
Q:

If (89)2 is added to the square of a number, the answer so obtained is 16202. What is the (1/26) of that number?

A) 5.65 B) 2.7
C) 3.5 D) 6.66
 
Answer & Explanation Answer: C) 3.5

Explanation:

Let the number is = x

(89)2 + x2 = 16202

x2 = 8281

x = 91

=> (1/26) of 91 = 3.5

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Filed Under: Square Roots and Cube Roots
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18 17896
Q:

In India, planned economy is based on

A) Mixed Economy System B) Capitalist System
C) Gandhian System D) Socialist System
 
Answer & Explanation Answer: D) Socialist System

Explanation:

In_India,_planned_economy_is_based_on1556278122.jpg image

 

In India, planned economy is based on Socialist System.

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Filed Under: Indian Economy
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30 17893