CAT Questions

Q:

What is the four-digit number in which the first digit is 1/3 of the second,the third is the sum of the first and second, and the last is three times the second ?

Answer

It is given that the first digit is 1/3 of the second. There are 3 such possibilities


1)1 and 3
2)2 and 6
3)3 and 9
Now, the third digit is the sum of the first and second digits.
1)1 + 3 = 4
2)2 + 6 = 8
3)3 + 9 = 12
It is clear that option 3 is not possible. So we are left with only two options. Also, the last digit is three times the second, which rules out the second option.


Hence, the answer is 1349.

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Subject: Arithmetical Reasoning Exam Prep: AIEEE , Bank Exams , CAT
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Q:

What is an error in a program called

A) Power fail B) Crash
C) Virus D) Bug
 
Answer & Explanation Answer: D) Bug

Explanation:

In computer technology, a coding error in a computer program is called a bug.

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Q:

In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?

A) 76 B) 54
C) 64 D) 48
 
Answer & Explanation Answer: B) 54

Explanation:

Let R, G and B represent the number of balls in red, green and blue boxes respectively.

Then, .

R + G + B = 108 ...(i),

G + R = 2B ...(ii)

B = 2R ...(iii)

From (ii) and (iii), we have G + R = 2x 2R = 4R or G = 3R.

Putting G = 3R and B = 2R in (i), we get:

R + 3R + 2R = 108 6R = 108 R = 18.

Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.

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Filed Under: Arithmetical Reasoning
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2 3329
Q:

0 divided by 0

A) 0 B) 1
C) Undefined D) Indeterminate
 
Answer & Explanation Answer: D) Indeterminate

Explanation:

Indeterminate are those,which mathematics can’t determine.

Because we don’t actually know which one is the exact answer for this due to having lots of results for this.

Explanation::

      • Let us think by this analogy that,

0 / 1 = 0

0 / 2 = 0

…………

………..

we can say 0 / n = 0 from this we can write, 0/0 = 0

      • Again, another analogy,(from limiting concept of 1/0 = infinity)

1 / 0 = + or -

2 /0 = + or -

………

.…….

we can say 0 / 0 = 

      • Again, another analogy,

1 / 1 = 1

2/2 = 1

.……..

………..

we can say, 0/0 = 1

Now, you see it’s confusing. Every analog is mathematically correct then which one is the right answer for 0/0.  Therefore Mathematics can’t determine this fact.

So, 0/0 is indeterminate.

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9 3329
Q:

In which of the following activities silicon carbide is used

A) Disinfecting water of ponds B) Making casts for statues
C) Making cement and glass D) Cutting very hard substances
 
Answer & Explanation Answer: D) Cutting very hard substances

Explanation:

In_which_of_the_following_activities_silicon_carbide_is_used1553082795.jpg image

Silicon carbide is used in Cutting very hard substances.

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Filed Under: Chemistry
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3 3326
Q:

The amount of water vapor in the air is

A) Hot air B) Humidity
C) Dew D) Foam
 
Answer & Explanation Answer: B) Humidity

Explanation:

The amount of water vapor ranges from a trace amount up to 4% of the mass of air. Water vapor exists as an invisible gas in the air.

 

The amount of water vapor in the air is called absolute humidity. The amount of water vapor in the air as compared with the amount of water that the air could hold is called relative humidity.

The maximum amount of water vapor that can be in the air depends on the air temperature.

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Filed Under: Physics
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4 3325
Q:

Who has been appointed as Managing Director of Export-Import Bank of India (Exim Bank) ?

A) Arun Tiwari B) Sunil Mehta
C) Ashwani Kumar D) David Rasquinha
 
Answer & Explanation Answer: D) David Rasquinha

Explanation:
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Filed Under: General Awareness
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Q:

Vikram Sarabhai Space Centre is located at

A) Thiruvananthapuram B) Pune
C) Sriharikota D) Ahmedabad
 
Answer & Explanation Answer: A) Thiruvananthapuram

Explanation:

Vikram Sarabhai Space Centre is located at Thiruvananthapuram, Kerala.

 

  • This is the lead centre of ISRO responsible for the design and development of launch vehicle technology focusing on rocket and space vehicles for India's satellite programme.
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