CAT Questions

Q:

How long will it take for two pipes A and B to fill an empty cistern if they worked alternately for an hour each ?

A. Working alone, Pipe A can fill the cistern in 40 hours
B. Pipe B is one third as efficient as Pipe A

A) Only A is sufficient B) Only B is sufficient
C) Both (A) and (B) are sufficient D) None
 
Answer & Explanation Answer: C) Both (A) and (B) are sufficient

Explanation:

From statement A, we know that Pipe A can fill the tank in 40 hours. However, this information is not sufficient as we do not have the data for Pipe B. Hence, statement A alone cannot answer the given question.

From statement B, we know that Pipe B is one third as efficient as pipe A. However, we do not know the rate at which Pipe A fills the tank. Hence, we will not be able to find the rate at which Pipe B fills the cistern. Therefore, statement B alone is not sufficient to answer the question.

Now, if we combine the two statements, we know that Pipe A take 40 hours to fill the cistern.
Pipe B takes 120 hours to fill the cistern.

If they worked alternately, then either Pipe A could have started the cycle or Pipe B could have started the cycle.

If Pipe A started the sequence of filling alternately, then at the end of two hours, the two pipes together would have filled 1/40 + 1/120 = 1/30  th of the tank in an hour. Or the cistern will fill in 30 hours.

If Pipe B started the sequence, then at the end of 2 hours, the two pipes together would have filled 1/120 + 1/40 = 1/30 th of the tank in an hour. Or the cistern will fill in 30 hours.

As the answer obtained irrespective of which pipe started the sequence is the same, the correct answer is (3) - i.e., both the statement are sufficient to answer the question.

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Filed Under: Statement and Conclusions
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Q:

Second Ozone Hole was detected over

A) Tibet B) Sweden
C) Northern hemisohere D) Antarctica
 
Answer & Explanation Answer: A) Tibet

Explanation:

Second ozone hole was detected over Tibet in the year 2006. 

Ozone is a form of oxygen, acts as a high-altitude atmospheric screen against cancer-causing ultraviolet light.

The main source of these halogens in the stratosphere is photodissociation of man made halocarbon refrigerants, solvents, propellants and CFC's.

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Filed Under: World Geography
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Q:

A hybrid of a donkey and a horse

A) Panthera and Mule B) Mules and Hinnys
C) Liger and Hinnys D) Wholphin and Mule
 
Answer & Explanation Answer: B) Mules and Hinnys

Explanation:

Donkeys and horses can be breed to make mules and hinnys.

A hinny is a domestic equine hybrid that is the offspring of a male horse, a stallion, and a female donkey, a jenny. It is the reciprocal cross to the more common mule, which is the product of a male donkey, a jack, and a female horse, a mare.

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Filed Under: General Awareness
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Q:

Uma sold an article for 3400 and got a profit of 25%. If he had sold the article for Rs. 3265. How much profit% would Uma have got ?

A) 22% B) 27%
C) 20% D) 18%
 
Answer & Explanation Answer: C) 20%

Explanation:

Given

      125% ---- 3400

=> 100% ---- ?

=> ? = 3400x100/125 = 2720

=> Cost price of the article = Rs. 2720

Profit when article sold at Rs. 3265 = 3265 - 2720 = 545

Hence, Profit% = Gain x 100/cost price

=> P% = 545 x 100/2720

=> P% = 20%

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Filed Under: Profit and Loss
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Q:

'BE' is related to 'GJ' in the same way as 'PS' is related to ?

A) VX B) TU
C) UX D) TV
 
Answer & Explanation Answer: C) UX

Explanation:

Each corresponding letter moves five places forward in the alphabet.
Here as BE is related to GJ then PS will relate to UX.

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Filed Under: Alphabet Test
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Q:

Three of the following four are alike in certain way and hence form a group. Which one of the following does not belong to that group ?

A) BHF B) LDJ
C) OKG D) ZTY
 
Answer & Explanation Answer: C) OKG

Explanation:

OKG
Remaining all are not in series
only OKG is in series of(15,11,7)

Here it follows the random difference of '4'.

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Filed Under: Alphabet Test
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Q:

Winter : Hibernation :: Summer : ?

A) Cache B) Aestivation
C) Survival D) Activation
 
Answer & Explanation Answer: B) Aestivation

Explanation:

Winter sleep of animals is called hibernation and summer sleep is called aestivation.

Hence, Winter : Hibernation :: Summer : Aestivation.

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Filed Under: Analogy
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Q:

23x12+49x15312+50 = ?

A) 0.5 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: B) 1

Explanation:

276+35961+50 = 10111011 = 1

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Filed Under: Simplification
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