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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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 17264
Q:

Seven people A, B, C, D, E, F and G live on separate floors of a 7-floor building. Ground floor is numbered 1, first floor is numbered. 2 and so on until the topmost floor is numbered 7. Each one of these having a different cars-Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo but not necessarily in the same order. Only three people live above the floor on which A lives. Only one person lives between A and the one having a car Cadillac. F lives immediately below the one having a car Bedford. The one having a car Bedford lives on an even-numbered floor. Only three people live between the ones having a car Cadillac and Maruti. E lives immediately above C. E is not having a car Maruti. Only two people live between B and the one having a car Fargo. The one having a car Fargo lives below the floor on which B lives. The one having a car Fiat does not live immediately above D or immediately below B. D does not live immediately above or immediately below A. G does not have a car Ambassador.

Question :

 How many people live between the floors on which D and the one having a car Bedford ?

A) One B) Two
C) Three D) Four
 
Answer & Explanation Answer: B) Two

Explanation:

111-151497940723.png image

Above is the table obtained from the given information in the passage.

There are two people (B & G) live between the floors on which D and the one having a car Bedford.

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23 17239
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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24 17221
Q:

Rangaswamy Cup is associated with

A) Football B) Badminton
C) Cricket D) Hockey
 
Answer & Explanation Answer: D) Hockey

Explanation:

Rangaswamy Cup is associated with Hockey. Introduced in 1928, the Rangaswami Cup, was originally known as Inter-Provincial Tournament meant to pick up players for the national team for the Olympics.

Rangaswamy_Cup_is_associated_with1552387636.jpg image

After some years, The Hindu Group in 1951 presented the Rangaswami Cup that was named after one of its editors and since then the tournament is known as the Rangaswami Cup.

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5 17202
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 17173
Q:

Eye Test Logical Challenge

lines1499317691.jpg image

A) 15 B) 14
C) 16 D) 17
 
Answer & Explanation Answer: A) 15

Explanation:
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58 17160
Q:

Arakan yoma is the extension of the himalayas located in

A) Myanmar B) West Bengal
C) Nagaland D) Baluchistan
 
Answer & Explanation Answer: A) Myanmar

Explanation:

Arakan yoma is the extension of the himalayas located in Myanmar. The Arakan Mountains are also known as the Rakhine Mountains.

 

Arakan_yoma_is_the_extension_of_the_himalayas_located_in1558508556.jpg image 

 

These are a mountain range in western Myanmar, between the coast of Rakhine State and the Central Myanmar Basin, in which the Irrawaddy River flows.

 

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Filed Under: Indian Geography
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