CAT Questions

Q:

Kalyan purchased a Maruti van for Rs. 1,96,000 and the rate of depreciation is 14(2/7) % per annum. Find the value of the van after two years ?

A) Rs. 1,24,000 B) Rs. 1,44,000
C) Rs. 1,32,000 D) Rs. 1,62,000
 
Answer & Explanation Answer: B) Rs. 1,44,000

Explanation:

Value of Maruti Van, V1 = Rs. 1,96,000
Rate of depreciation, r = 14(2/7)% = 100/7%; Time, t = 2 years
Let V2 is the value after depreciation.

V2 = V11 - r100t
V2 = 196001 - 10071002

V2 = 196000(6/7)(6/7)

V2 = (196000x36)/49 = Rs. 1,44,000.

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Filed Under: Percentage
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Q:

A person lends Rs. 1540 for five years and Rs. 1800 for four years. If he gets Rs. 1788 as interest on both amounts, what is the rate of interest ?

A) 14.5% B) 11%
C) 12% D) 10.5%
 
Answer & Explanation Answer: C) 12%

Explanation:

Let the interest rate be r%

We know that,

S.I = PTR/100

=> (1540 x 5 x r)/100  +  (1800 x 4 x r)/100 = 1788

=> r = 178800/14900 = 12%

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Filed Under: Simple Interest
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Q:

Group the given figures into three classes using each figure only once.

3_201484718690.png image

A) 1,3,5 ; 2,4,7 ; 6,8,9 B) 1,5,7 ; 2,3,6 ; 4,8,9
C) 1,3,5 ; 2,6,7 ; 4,8,9 D) 1,6,9 ; 2,4,7 ; 3,5,8
 
Answer & Explanation Answer: D) 1,6,9 ; 2,4,7 ; 3,5,8

Explanation:

1, 6, 9 are figures which are half shaded by slanting lines.
2, 4, 7 are all divided into equal parts (either three or four parts) by straight lines and also have a black circle at the centre.
3, 5, 8 have similar designs and have their four corners shaded black.

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Filed Under: Grouping of Images
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Q:

How many birthdays does the average person have?

Answer

Any person can have only 1 birthday i.e, the day he was born. And every year we celebrate it's anniversaries.

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9 7894
Q:

If everyone on the team is a veteran, what will you do to fit in ?

Answer

This answer shows steps of becoming a team member that doesn't appear to be in training. It is describing ways to limit training times in meetings, and include that a new worker could benefit an existing team by making a list of ideas.


Even if everyone is a veteran, I feel confident I can fit right in. I would prepare as much as I can by reading existing material to catch up on the project. I would plan for meetings by making a list of questions I have and finding the answers to these questions before the meeting. I would also create a list of ideas through the documents I have read. A fresh mind could help with creative solutions. I know that I would be required to study a lot in the beginning, but I would be able to do so at home or by working late in the office.

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13 7888
Q:

Ishikha got married 9 years ago. Today her age is 4/3 times her age at the time of marriage. At present her daughter’s age is one-sixth of her age. What was her daughter’s age three years ago?

A) 4 years B) 3 years
C) 2 years D) 1 year
 
Answer & Explanation Answer: B) 3 years

Explanation:

Let Ishika and her daughter present ages be p and q

 From the given data, 

p = 4/3(p - 9)

 => p = 36 years 

Hence, Ishika's present age = 36 years and

Her daughter's present age = 1/6 x 36 = 6 years 

Now, required her daughter’s age three years ago = 6 - 3 = 3 years.

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13 7880
Q:

Which sport is played on the largest pitch?

A) Golf B) Cricket
C) Polo D) Football
 
Answer & Explanation Answer: C) Polo

Explanation:

Polo is the sport which is played in the largest pitch.

which_sport_is_played_on_the_largest_pitch1542950688.jpg image

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Filed Under: Sports
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Q:

Which of the following has the highest entropy?

A) Hydrogen B) Diamond
C) Liquid nitrogen D) Mercury
 
Answer & Explanation Answer: A) Hydrogen

Explanation:

Entropy is a measure of disorder . It will be maximum in gases followed by liquids and least in solids.

 

Hence, here the gas is only hydrogen and it has the highest entropy.

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Filed Under: Physics
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