CAT Questions

Q:

In a competitive examination, the average marks for the entire examination was 60 marks. If 20% of the applicants scored 85 marks and 25% scored 95 marks. What was the average marks of the remaining applicants in the examination ?

A) 60 B) 52
C) 45 D) 35
 
Answer & Explanation Answer: D) 35

Explanation:

Let the total applicants be 100

 

Then, 20% got 85 marks

i.e 20 x 85 = 1700

 

and 25% got 95 marks

 i.e 25 x 95 = 2375

 

Now, the remaining applicants are 55 and let the average marks scored by them be x.

 

Therefore, 2375 + 1700 + 55x  =  60×100 

6000 - 4075 = 55x

55x=1925

x=35.

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Filed Under: Percentage
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8 5528
Q:

The cost price of 40 Magazines is the same as the selling price of 'P' articles. If the profit is 25%, then the value of 'P' is:

A) 32 B) 40
C) 16 D) 30
 
Answer & Explanation Answer: A) 32

Explanation:

Let C.P. of each Magazine be Rs. 1

C.P. of P articles = Rs. P. 

S.P. of P articles = Rs. 40.

 

Profit = Rs. (40 - P)

 

Now, Gain% = ProfitC.P×100 = 40-PP×100 

 

Here 40-PP×100= 25

-->P = 32.

 

 

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Filed Under: Profit and Loss
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6 5528
Q:

As compared to diskettes, the hard disks are

A) More portable B) Slowly accessed
C) More expensive D) Less rigid
 
Answer & Explanation Answer: C) More expensive

Explanation:

As compared to diskettes, the hard disks are more expensive.

As_compared_to_diskettes,_the_hard_disks_are1557378986.jpg image

A diskette is a RAM, removable data storage medium that can be used with personal computers. It is also known as Floppy or Floppy disk. It is composed of a disk of thin and flexible magnetic storage medium, sealed in a rectangular plastic enclosure lined with fabric that removes dust particles.

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7 5521
Q:

What animal has the highest blood pressure?

A) Elephant B) Giraffe
C) Lion D) Rabbit
 
Answer & Explanation Answer: B) Giraffe

Explanation:

Giraffe has the highest blood pressure among animals. 

This is due to the fact that there is a large pressure drop (~100 mmhg) as the blood is transported from the heart, up the neck, to the brain. This is about twice the normal blood pressure of humans (120/80 mmhg).

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Filed Under: Animals and Birds
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18 5516
Q:

If a student walks at the rate of 4 mts/min from his home, he is 4 minutes late for school, if he walks at the rate of 6 mts/min he reaches half an hour earlier. How far is his school from his home ?

A) 100 mts B) 96 mts
C) 98 mts D) 120 mts
 
Answer & Explanation Answer: C) 98 mts

Explanation:

Let the distance between home and school is 'x'.
Let actual time to reach be 't'.
Thus, x/4 = t + 4 ---- (1)
and x/6 = t - 30 -----(2)
Solving equation (1) and (2)
=> x = 98 mts.

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Filed Under: Time and Distance
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7 5512
Q:

P can do a piece of work in 5 less days than Q. If both of them can do the same work in 1119days, in how many days will Q alone do the same work  ?

A) 24 days B) 25 days
C) 20 days D) 19 days
 
Answer & Explanation Answer: B) 25 days

Explanation:

Let Q complete that work in 'L' days

 

=> 1L + 1L-5 = 9100

 

=> 9L2-245L+500=0

 

L = 25 days.

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Filed Under: Time and Work
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11 5511
Q:

A train travelling at 48 kmph crosses another train, having half its length and travelling in opposite direction at 42 kmph, in 12 sec. It also covers a bridge in 45 sec. Find the length of the bridge ?

A) 250 mts B) 400 mts
C) 320 mts D) 390 mts
 
Answer & Explanation Answer: B) 400 mts

Explanation:

Let the length of the 1st train = L mts

Speed of 1st train = 48 kmph

Now the length of the 2nd train = L/2 mts

Speed of 2nd train = 42 kmph

Let the length of the bridge = D mts

Distance = L + L/2 = 3L/2

Relative speed = 48 + 42 = 90 kmph = 90 x 5/18 = 25 m/s(opposite)

Time = 12 sec

=> 3L/2x25 = 12

=> L = 200 mts

Now it covers the bridge in 45 sec

=> distance = D + 200

Time = 45 sec

Speed = 48 x5/18 = 40/3 m/s

=> D + 200/(40/3) = 45

=> D = 600 - 200 = 400 mts

Hence, the length of the bridge = 400 mts.

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Filed Under: Problems on Trains
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15 5508
Q:

Market regulation system was introduced by

A) Illtutmish B) Ala-ud-din Khilji
C) Ghias-ud-din D) Muhammad Bin-Tughlaq
 
Answer & Explanation Answer: B) Ala-ud-din Khilji

Explanation:

Market regulation system was introduced by Ala-ud-Din Khilji. He was the second and the most powerful ruler of the Khalji dynasty that ruled the Delhi Sultanate in the Indian subcontinent. 

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Filed Under: Indian History
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5 5508