GATE Questions

Q:

Assertion(A) : Indus valley people knew the art of navigation.
Reason(R) : Indus valley seals indicate prevalence of overseas trade.

A) R is true but A is fale B) A is true but R is false
C) Both A and R are false D) R correctly explains A
 
Answer & Explanation Answer: D) R correctly explains A

Explanation:

The seals found at Indus valley sites gave evidance of overseas trade, which was possible only with the knowledge of art of navigation.
Thus, both A and R are true & R correctly explains A.

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Filed Under: Assertion and Reason
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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:

What is the maximum velocity with which a body of mass 'm' must enter a vertical loop of radius 'R'so that it can complete the loop?

A) 0  B) gR   C)  2gR  D)  5gR

A) A B) B
C) C D) D
 
Answer & Explanation Answer: D) D

Explanation:

To complete the vertical loop, the minimum speed required at the lowest point  = 5gR.

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Filed Under: Physics
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Q:

Ravi, Anand and Pranay are running a business firm in partnership. What is Anand's share in the profit earned by them?

a. Ravi, Anand and Pranay invested the amounts in the ratio of 2 : 4 : 7.

b. Pranay's share in the profit is Rs. 8750.

A) Only a is sufficient B) Neither a nor b is sufficient
C) Only b is sufficient D) Both a and b sufficient
 
Answer & Explanation Answer: D) Both a and b sufficient

Explanation:

Given Pranay's profit in the share is Rs. 8750

But given that their investments are in the ratio 2:4:7

713×P = 8750

P = 16250


Now Anand's share = 413×16250 = Rs.5000

Thus both staements a and b are sufficient to answer this question.

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Filed Under: Partnership
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Q:

If in the following set of numbers, the first and the third digits are interchanged in each number, which number will be second from the end if arranged in ascending order after interchanging the digits ?

585  546  514  404  206  369

A) 404 B) 585
C) 415 D) 602
 
Answer & Explanation Answer: C) 415

Explanation:

Given numbers are 585 546 514 404 206 369
Then interchanging the 1st and 3rd digits of the given numbers, we get
585 645 415 404 602 963
Now, arranging them in ascending order
963 645 602 585 415 404
Then the last second number is 415.

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Q:

Vishal is 24th from either end of the row of boys ? How many boys are there in the row ?

A) 48 B) 49
C) 46 D) 47
 
Answer & Explanation Answer: D) 47

Explanation:

Given that Vishal is 24th from either end of the row i.e from two sides

  1 2 3 4 5 . . . . . .24 23 22 21 20 . . . . . 5 4 3 2 1 

  Here before Vishal there are 23 members and after Vishal there are 23 members

  = 23+1+23 --> 47 members in the row.

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Filed Under: Number, Ranking and Time Sequence Test
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Q:

The Good Governance Day (GGD) is observed on which day in India?

A) December 22 B) December 25
C) December 21 D) December 24
 
Answer & Explanation Answer: B) December 25

Explanation:

The Good Governance Day (GGD) is observed every year in India on the eve of the birth anniversary of former Prime Minister Atal Bihari Vajpayee.

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Filed Under: General Awareness
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Q:

The intersection of a column and a row

A) Cell B) Menu
C) Key D) Field
 
Answer & Explanation Answer: A) Cell

Explanation:

The intersection of a column and a row in a spread sheet is called as a cell or a bon.

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