GATE Questions

Q:

Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ?

A) 8/15 B) 7/15
C) 1/15 D) 4/15
 
Answer & Explanation Answer: B) 7/15

Explanation:

Given total students in the class = 60
Students who are taking Economics = 24 and
Students who are taking Calculus = 32
Students who are taking both subjects = 60-(24 + 32) = 60 - 56 = 4
Students who are taking calculus only = 32 - 4 = 28
probability that a randomly chosen student from this group is taking only the Calculus class = 28/60 = 7/15.

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Filed Under: Probability
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12 5328
Q:

Who has become the 1st woman player from Jharkhand who has been awarded Dhyan Chand Award 2017  ?

A) Poonam Rani B) Samurai Tete
C) Monika Malik D) Navjot Kaur
 
Answer & Explanation Answer: B) Samurai Tete

Explanation:

The Apex body for The national sport Hockey India pitched Jharkhand's Samurai Tete, former Team India skipper, for the Dhyan Chand Lifetime Achievement Award 2016.

Sumrai Tete is a member of the India women's national field hockey team. She played with the team when it won the Gold at the Manchester 2002 Commonwealth Games.

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Filed Under: Honours and Awards
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8 5325
Q:

A sum of money at simple interest amounts to Rs. 415 in 2 years and to Rs. 514 in 4 years. The sum is ?

A) Rs. 316 B) Rs. 251
C) Rs. 154 D) Rs. 294
 
Answer & Explanation Answer: A) Rs. 316

Explanation:

S.I. for 2 years = (514 - 415) = Rs. 99
S.I. for 1 year = 99/2

Principal = (415 - 99) = Rs. 316.

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Filed Under: Simple Interest
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2 5317
Q:

60 percent of 2/7 of three-fourth of a number is 2664. What is the number ?

A) 20720 B) 21352
C) 25421 D) 24150
 
Answer & Explanation Answer: A) 20720

Explanation:

Let N be the required number. 

=> 60100x27x34xN=2664  

=> N = 2664x2x7x5/9  

=> N = 20720.

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Filed Under: Percentage
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10 5314
Q:

P’s son Q is married with R whose sister S is married to T the brother of Q. How S is related to P ?

A) Daughter-in-law B) Sister
C) Cousin D) Sister-in-law
 
Answer & Explanation Answer: A) Daughter-in-law

Explanation:

Since T is the brother of Q
Therefore, P is the father of T
but S is the wife of T.
Hence, S is the daughter-in-law of P.

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Filed Under: Blood Relations
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4 5308
Q:

Which among the following are not the c++ tokens

A) Identifiers B) keywords
C) Strings D) None
 
Answer & Explanation Answer: D) None

Explanation:

All the above listed options are c++ tokens .They  include:

             - keywords

             - Identifiers

             - Constants

             - Strings

             - operators

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Filed Under: C++
Exam Prep: GATE

4 5307
Q:

M, N and O can complete the work in 18, 36 and 54 days respectively. M started the work and worked for 8 days, then N and O joined him and they all worked together for some days. M left the job one day before completion of work. For how many days they all worked together?

A) 4 B) 5
C) 3 D) 6
 
Answer & Explanation Answer: B) 5

Explanation:

Let M, N and O worked together for x days.

From the given data,
M alone worked for 8 days
M,N,O worked for x days
N, O worked for 1 day

But given that
M alone can complete the work in 18 days
N alone can complete the work in 36 days
O alone can complete the work in 54 days

The total work can be the LCM of 18, 6, 54 = 108 units

M's 1 day work = 108/18 = 6 units
N's 1 day work = 108/36 = 3 units
O's 1 day work = 108/54 = 2 units

Now, the equation is
8 x 6 + 11x + 5 x 1 = 108
48 + 11x + 5 = 108
11x = 103 - 48
11x = 55
x = 5 days.

Hence, all M,N and O together worked for 5 days.

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Filed Under: Time and Work
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3 5303
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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