CAT Questions

Q:

In a box, there are 9 blue, 6 white and some black stones. A stone is randomly selected and the probability that the stone is black is ¼. Find the total number of stones in the box? 

A) 15 B) 18
C) 20 D) 24
 
Answer & Explanation Answer: C) 20

Explanation:

We know that, Total probability = 1

Given probability of black stones = 1/4

=> Probability of blue and white stones = 1 - 1/4 = 3/4

But, given blue + white stones =  9 + 6 = 15

Hence,

3/4 ----- 15

 1   -----  ?

=> 15 x 4/3 = 20.

 

Hence, total number of stones in the box = 20.

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Filed Under: Probability
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Q:

The calendar for the year 2007 will be the same for the year ?

A) 2014 B) 2019
C) 2021 D) 2018
 
Answer & Explanation Answer: D) 2018

Explanation:

Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day.

Year : 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017
Odd day : 1 2 1 1 1 2 1 1 1 2 1

Sum = 14 odd days => 0 odd days.
Calendar for the year 2018 will be the same as for the year 2007.

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Filed Under: Calendar
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Q:

The Sivasamudram Falls is on which river ?

A) Ganga B) Saryu
C) Cauvery D) Krishna
 
Answer & Explanation Answer: C) Cauvery

Explanation:
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Filed Under: Indian Geography
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Q:

Find the logic and solve this mathematical puzzle?

solve_this_maths_puzzle1565956551.jpg image

A) 112 B) 72
C) 127 D) 144
 
Answer & Explanation Answer: D) 144

Explanation:

In the given puzzle, the logic is

2 + 3 = 10 => (2 + 3) * 2 = 10

6 + 3 = 54 => (6 + 3) * 6 = 54

8 + 3 = 88 =>  (8 + 3) * 8 = 88

Similarly,

9 + 7  => (9 + 7) * 9 = 16 x 9 = 144.

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Filed Under: Math Puzzles
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Q:

9 girls working 7 hours a day can complete a piece of work in 15 day. In how many days can 6 girls working for 9 hours a day, complete the same piece of work?

A) 35/4 days B) 17.5 days
C) 19 3/4 days D) 37/3 days
 
Answer & Explanation Answer: B) 17.5 days

Explanation:

Let the number of days be 'p' 

As the work is same, we know that

M1 x D1 x H1 = M2 x D2 x H2

Where M = Men, D = Days, H = Hours per day 

Here M1 = 9, D1 = 15, H1 = 7 

M2 = 6, D2 = p, H2 = 9 

=> 9 x 15 x 7 = 6 x p x 9 

=> p = 35/2 = 17.5 days.

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Filed Under: Time and Work
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Q:

What has two hands but no arms or legs?

Answer

A Clock has 3 hands i.e, an Hour hand, a Minute hand and a Seconds hand.

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Q:

RAM is used as a short memory because it is

A) expensive B) volatile
C) has small capacity D) programmable
 
Answer & Explanation Answer: B) volatile

Explanation:

RAM is used as a short-term memory because of its volatility.

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Q:

Boxing : Ring :: Wrestling : ?

A) Ring B) Court
C) Arena D) none of these
 
Answer & Explanation Answer: C) Arena

Explanation:

Boxing is played in the ring whereas Wrestling is played in Arena.

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Filed Under: Analogy
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