GATE Questions

Q:

Wind and solar energy are examples of

A) renewable B) non renewable
C) Both A & B D) None of the above
 
Answer & Explanation Answer: A) renewable

Explanation:
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Q:

What looks back but cannot see?

Answer

Reflection is what which looks back but can't see.

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Q:

In agroup of six women, there are four dancers, four vocal musicians, one actress and three violinists. Girija and Vanaja are among the violinists while Jalaja and Shailaja do not know how to ply on the violin. Shailaja and Tanuja are among the dancers. Jalaja, Vanaja, Shailaja and Tanuja are all vocal musicians and two of them are also violinists. If Pooja is an actress, who among the following is both a dancer and a violinist ?

A) Shailaja B) Vanaja
C) Girija D) Tanuja
 
Answer & Explanation Answer: D) Tanuja

Explanation:

The four vocal musicians and one actress in the group are given. Two dancers are Shailaja and Tanuja. Two violinists are Girija and Vanaja. Since Jalaja and Shailaja cannot be violinists, so remaining two violinists are Tanuja and Pooja. Clearly, Tanuja is both a violinist and a dancer.

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Q:

In how many different ways could couples be picked from 6 men and 9 women ?

A) 26 B) 54
C) 52 D) 28
 
Answer & Explanation Answer: B) 54

Explanation:

Number of mens = 8

Number of womens = 5

 

Different ways could couples be picked = C16×9C1 = 9 x 6 = 54 ways.

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Filed Under: Permutations and Combinations
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Q:

Statement: The air and rail services have been severely disrupted due to thick fog in the northern part of the country.
Courses of action:
a. The rail and air services should be temporarily suspended in the region.
b. People should be advised to make their travel plan keeping in mind the probable disruption resulting in delay or cancellation of services.
c. The government should immediately install modern machines which will enable itto guide the rail and air services even if the thick fog develops.

A) Only a follows B) a and b follows
C) Only b follows D) a, b & c follows
 
Answer & Explanation Answer: D) a, b & c follows

Explanation:

Keeping in mind the safety and convenience of passengers, both 'a' and 'b' follow. 'c' clearly suggests a remedy to the problem and hence it also follows.

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Q:

(P - 4)(P - 6)

Simplify the above?

Answer

(P - 4)(P - 6)


 


Now applying distributive property, we get


 


P.P - 4.P - 6.P + 6.4


 


P^2 - 10P + 24

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Q:

Cybercards are most useful for

A) writing to-do lists B) creating new inventions
C) keeping a personal diary D) tracking Internet-based research
 
Answer & Explanation Answer: D) tracking Internet-based research

Explanation:
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Q:

The unit of energy in MKS system is

A) Joule B) Ohm
C) Erg D) Volt
 
Answer & Explanation Answer: A) Joule

Explanation:

The unit of energy in MKS system is Joule.

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Filed Under: Physics
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