CAT Questions

Q:

What is the total no of ways of selecting atleast one item from each of the two sets containing 6 different items each?

A) 2856 B) 3969
C) 480 D) None of these
 
Answer & Explanation Answer: B) 3969

Explanation:

We can select atleast one item from 6 different items = 26-1  

 

Similarly we can select atleast one item from other set of 6 different items in 26-1 ways. 

 

Required number of ways = (26-1)26-1 = 26-12 = 3969

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Filed Under: Permutations and Combinations
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1 7261
Q:

In a class, seven students are standing in a row. Q is standing left to R but right to P. O is standing right to N and left to P. Similarly, S is standing right to R and left to T. Find out who is standing in the middle ?

A) Q B) R
C) P D) S
 
Answer & Explanation Answer: A) Q

Explanation:

As from the given conditions;
Order is
N O P Q R S T
Here the student standing in the middle is 'Q'.

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9 7261
Q:

5 L from A are V?

Answer

5 L from A are V --- 5 Letters from Alphabets are Vowels.


 

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13 7259
Q:

What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high  ?

A) 13 m B) 14 m
C) 15 m D) 16 m
 
Answer & Explanation Answer: A) 13 m

Explanation:

The length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high is

 

=>  d2 = 122 + 42 + 32 = 13mts.

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Filed Under: Area
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13 7244
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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8 7240
Q:

A boat whose speed in still water is 9 kmph, goes 12 km downstream and comes back in 3 hrs. Find the speed of the stream?

A) 1 kmph B) 3 kmph
C) 5 kmph D) 4 kmph
 
Answer & Explanation Answer: B) 3 kmph

Explanation:

Let the speed of the stream = x kmph

 

From the given data,

 

 129+x+129-x=3 hrs

3x2 = 27

 

=> x = 3 kmph

 

Therefore, the speed of the stream = 3 kmph

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Filed Under: Boats and Streams
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25 7232
Q:

Peace, discipline, freedom and equality are all examples of

peace_discipline_freedom_and_equality_are_all_examples_of1538653767.jpg image

A) Democratic values B) Resolutions
C) Myths D) Settings
 
Answer & Explanation Answer: A) Democratic values

Explanation:

Peace, discipline, freedom and equality are all examples of human values or democratic values which all the people want to be in them for society.

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Filed Under: Indian Politics
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Q:

Processor's speed of a computer is measured in

A) Hertz B) Baud
C) MIPS D) BPS
 
Answer & Explanation Answer: A) Hertz

Explanation:

CPU speed is the central factor in a computer's performance. And this CPU speed depends on the processor in the CPU chip. In a computer, clock speed refers to the number of pulses per second generated by an oscillator that sets the tempo for the processor. Clock speed is usually measured in Hertz (Hz).

 

But now-a-days, a pure processor's performance is measured in MIPS (Millions of Instructions Per Second). As here in the question, how a processor's speed is measured is asked and it is Hertz. 

 

Hence, Processor's speed of a computer is measured in Hertz(Hz) [MHz, GHz].

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