GATE Questions

Q:

Assertion(A) : Most of the Himalayan rivers are perennial.
Reason(R) : They are fed by melting snow.

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

Explanation:

Most Himalayan rivers are perennial because they are fed by the melting snow throughout the year.
Thus, both A and R are true & R correctly explains A.

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Q:

Twenty percent of Karthik’s monthly salary is equal to thirty two percent of Nikitha’s monthly salary. Vipin’s monthly salary is four fifth that of Nikitha’s monthly salary. If Vipin’s annual salary is Rs. 3.84 lakhs, what is Karthik’s monthly salary?

A) 32,000 B) 64,000
C) 40,000 D) 52,000
 
Answer & Explanation Answer: B) 64,000

Explanation:

From the given data,

20% of K = 32% of N

V = 4/5 N

 

Given Vipin's salary = 3.84 lpa = 3.84/12 = 32,000 per month

Now, N = 5/4 x 32000 = 40000

Now K = 32/20 x 40000 = 64000

 

Hence, karthik's monthly salary = Rs. 64000.

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Q:

A can complete 9/10 part of a work in 31 days. After that, with the help of B he can complete the remaining work in 4 days. In how many days will  A and B together can complete that work ?

A) 36 B) 40
C) 42 D) 38
 
Answer & Explanation Answer: B) 40

Explanation:

Remaining work = 1 - 9/10 = 1/10

 

=> A & B together completes 1/10 of work in 4 days

 

=> 1 work can completed in ------ ? days

 

Let it be x days

 

=>  4110=x1

 

=> x = 40 days.

 

Hence, A & B together can complete the work in 40 days.

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Q:

Which best describes the meaning of the term theorem?

A) A conclusion proved by deductive reasoning B) A statement explaining the meaning of a geometric term
C) A conjecture based on inductive reasoning D) A statement that is accepted as true without proof
 
Answer & Explanation Answer: A) A conclusion proved by deductive reasoning

Explanation:
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0 4258
Q:

If        9 = 63              8 = 48             7 = 35 

Then   4 = ?

A) 4 B) 8
C) 12 D) 16
 
Answer & Explanation Answer: B) 8

Explanation:

Here given that 9 = 63, 8 = 48, 7=35, ... 

 

The given question follows a pattern that

9 x (9 - 2) = 9 x 7 = 63

8 x (8 - 2) = 8 x 6 = 48

7 x (7 - 2) = 7 x 5 = 35

 

Similarly, 4 x (4 - 2) = 4 x 2 = 8.

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8 4253
Q:

A doppler effect occurs when a source of sound moves

A) away from you B) towards you
C) Both A & B D) None of the above
 
Answer & Explanation Answer: C) Both A & B

Explanation:

The Doppler effect or Doppler shift is the change in frequency or wavelength of a wave in relation to an observer who is moving relative to the wave source. 

a_doppler_effect_occurs_when_a_source_of_sound_moves1560770484.jpg image

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Q:

"Compounding frequency" refers to

A) What type of interest your account earns B) How often your interest is calculated and added back into your account
C) What interest rate you can expect from your account D) How easily you can add money into your account
 
Answer & Explanation Answer: B) How often your interest is calculated and added back into your account

Explanation:

Compounding frequency :

The time periods when interest will be calculated on top of the original loan amount (or) The number of compounding periods in one year.

 

The greater the compounding frequency, the more often your interest is calculated and added back into your account.

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1 4245
Q:

Which law relates to the ideal gas law?

A) P1T1 = P2T2 B) P1/V1 = P2/V2
C) P1V1 = P2V2 D) T1/V1 = T2/V2
 
Answer & Explanation Answer: C) P1V1 = P2V2

Explanation:

Ideal Gas Law ::

The Combined gas law or General Gas Equation is obtained by combining Boyle's Law, Charles' Law, and Gay-Lussac's Law. It shows the relationship between the pressure, volume, and temperature for a fixed mass (quantity) of gas:

P1V1T1 = P2V2T2

 

Hence, the Boyle's law P1V1 = P2T2, relates to ideal gas equation.

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Filed Under: Physics
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