GATE Questions and Answers with Explanation

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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Filed Under: Deriving Conclusions From Passages
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5 2725

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 = ${}^{6}C_{1} \times {}^{9} C_{1}$ = 9 x 6 = 54 ways.

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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5 2724

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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Subject: Simplification Exam Prep: GATE , CAT , Bank Exams , AIEEE
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3 2724

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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Filed Under: Computer
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2 2724

Q:

Read each part of the sentence to find out if there is any error in it. The error, if any, will be in one part of the sentence. The number of that part is the answer.

$\frac{A s m u c h a s i a d m i r e h i m f o r h i s t a l e n t}{(1)} / \frac{a n d e n d e a v o r t o a c h i e v e s u c c e s s}{(2)} /$

$\frac{I c a n n o t f o r g i v e h i m f o r b e i n g s o}{(3)} / \frac{r u d e t o t h e n o t s o w e l l t o d o o n e s}{(4)}$

A) (1)	B) (2)
C) (3)	D) (4)

Answer & Explanation Answer: A) (1)

Explanation:

The error lies in part (1).

As the phrase 'as much as' needs to be replaced with 'much as I'. This is because we use 'as much as' for comparing two qualities or things. But here in the given sentence a contrast is given in the latter part of the sentence. So we need a conjunction like 'even though' 'although' etc...

'Much as I' also serves the same purpose.

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Filed Under: Verification of Truth of the statement
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10 2723

Q:

What looks back but cannot see?

Answer

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

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Subject: Word Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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7 2722

Q:

The word length of a computer is measured in

A) centimeters	B) millimeters
C) bytes	D) bits

Answer & Explanation Answer: D) bits

Explanation:

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Filed Under: Computer
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Q:

What occurs once in a minute twice in a moment?

Answer

Here the letter 'M' appears once in Minute and twice in a MoMent.

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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5 2712

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