CAT Questions

Q:

Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 3 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill  ?

A) 8.21 min B) 8 min
C) 8.57 min D) 8.49 min
 
Answer & Explanation Answer: C) 8.57 min

Explanation:

1/10 + 1/15 = 1/6 x 3 = 1/2

1 - 1/2 = 1/2

1/10 + 1/15 - 1/x = 1/2

x = 8.57 min

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Filed Under: Pipes and Cistern
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36 15440
Q:

Who has become the first Indian woman to scale Mount Everest for the fourth time  ? 

A) Anshu Jamsenpa B) Dickey Dolma
C) Lhakpa Sherpa D) Malavath Purna
 
Answer & Explanation Answer: A) Anshu Jamsenpa

Explanation:

Anshu Jamsenpa, the Indian mountaineer from Arunachal Pradesh, has scripted history by becoming the first Indian woman to scale the Mount Everest for the fourth time. She will attempt a double ascent to the world’s highest peak to make it a total five successful climbs. If she is successful with her double ascent this time, Ms Jamsenpa will set a record five climbs of Mt Everest.

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Filed Under: Famous Personalities
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12 15436
Q:

The philosophy  propounded in the Upanishads is known as 

A) Advaita B) Vedanta
C) Yoga D) Samkhya
 
Answer & Explanation Answer: B) Vedanta

Explanation:

The Upanishads are commonly referred to as Vedanta. 


The Upanishads alone are widely known and among the most important literature in the history of Indian religions and culture and their central ideas are at the spiritual core of Hindus.

 

The upanishads are a part of the Vedas and are ancient Sanskrit texts that contain some of the central philosophical concepts and ideas of Hinduism, some of which are shared with Buddhism, and Jainism.

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Filed Under: Indian History
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15 15421
Q:

6 B in an O?

Answer

The given letter equation 6 B in an O refers to 6 Balls in an Over.

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33 15411
Q:

What about Earth allows it to maintain bodies of water?

A) mountains B) tides
C) moderate tempatures D) comet crashes
 
Answer & Explanation Answer: C) moderate tempatures

Explanation:

The moderate temperatures allow Earth to maintain bodies of water into its normal state.

Changes in the bodies of water in terms of volume and structure would change due to the change in temperature. 

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Filed Under: General Science
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13 15383
Q:

Find the total numbers greater than 4000 that can be formed with digits 2, 3, 4, 5, 6 no digit being repeated in any number ?

A) 120 B) 256
C) 192 D) 244
 
Answer & Explanation Answer: C) 192

Explanation:

We are having with digits 2, 3, 4, 5 & 6 and numbers greater than 4000 are to be formed, no digit is repeated.

 

The number can be 4 digited but greater than 4000 or 5 digited.

 

Number of 4 digited numbers greater than 4000 are
4 or 5 or 6 can occupy thousand place => 3 x P34 = 3 x 24 = 72. 

 

5 digited numbers = P55 = 5! = 120 

So the total numbers greater than 4000 = 72 + 120 = 192

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Filed Under: Permutations and Combinations
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21 15342
Q:

If price of rice increased by 25%, so that a man is can able to purchase 5 kg less rice in Rs. 500. Find the original price of rice per kg ?

A) Rs. 20 B) Rs. 24
C) Rs. 26 D) Rs. 29
 
Answer & Explanation Answer: A) Rs. 20

Explanation:

Let the original price of rice be Rs. x

Let rice a man can buy for Rs. 500 at rs. x/kg be = R kgs

From given data, for Rs. 500

x ---- R kgs

(x + 25x/100) ---- (R - 5) kgs

=> Rx = (R - 5)(x + 25x/100)

=> Rx = (R - 5)(125x/100)

=> 100Rx = 125Rx - 625x

=> R = 25

So at rate of Rs. x/kg, man get 25 kgs for Rs. 500

=> x = 500/25 = Rs. 20

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Filed Under: Percentage
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21 15336
Q:

8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is :

A) 8/39 B) 15/39
C) 12/13 D) None of these
 
Answer & Explanation Answer: B) 15/39

Explanation:

P( selecting atleast one couple) = 1 - P(selecting none of the couples for the prize) 

 

 = 1-16C1× 14C1×12C1×10C116C4=1539

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Filed Under: Probability
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64 15320