GATE Questions and Answers with Explanation

Q:

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ?

A) 205	B) 194
C) 209	D) 159

Answer & Explanation Answer: C) 209

Explanation:

We may have (1 boy and 3 girls)or(2boys and 2 girls)or(3 boys and 1 girl)or(4 boys).

Required number of ways = ( ${}^{6}C_{1} \times {}^{4}C_{3}$ ) + $({}^{6}C_{2} \times {}^{4}C_{2})$ + ( ${}^{6}C_{3} \times {}^{4}C_{1}$ ) + ( ${}^{6}C_{4}$ )

= (24+90+80+15)

= 209.

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Filed Under: Permutations and Combinations
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7 3643

Q:

Which of the following means O is a father of two children ?

A) O @ M # N	B) O # N # M
C) O @ N # M	D) N # O $ M

Answer & Explanation Answer: C) O @ N # M

Explanation:

O @ N # M means O is the father of N who is the sister of M i.e. O is a father of two children.

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Filed Under: Blood Relations
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2 3643

Q:

A compass always points to

A) North	B) Magnetic north
C) Magnetic South	D) South

Answer & Explanation Answer: B) Magnetic north

Explanation:

Wherever on earth we hold a compass, the needle points towards the magnetic North Pole. A compass is a great tool for navigation.

compass1532084678.png image

Compass is widely used in aircrafts, ships, military services,...

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Filed Under: General Awareness
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Q:

Excel displays the current cell address in the

A) Title Bar	B) Name Box
C) Status Bar	D) Formula bar

Answer & Explanation Answer: B) Name Box

Explanation:

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Filed Under: Computer
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3 3640

Q:

Find the one which does not belong to that group ?

A) America : Dollar	B) India : Rupee
C) Australia : Pound	D) Japan : Yen

Answer & Explanation Answer: C) Australia : Pound

Explanation:

Except Austriala : Pound, all others are correction combination of country and its currency.

Australian currency is Australian Dollar.

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Filed Under: Analogy
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7 3634

Q:

Can you find the next number in the sequence "0, 1, 4, 7, 8, 5, 2, 3, 6, 9, 9, 6, 3, 2, 5, 8, 7, 4, 1, 0, 0, …" ?

A) 0	B) 1
C) 4	D) 7

Answer & Explanation Answer: B) 1

Explanation:

The pattern follows the palindrome sequence.

Here the digits 0 1 4 7 8 5 8 3 6 9 9 6 3 8 5 8 7 4 1 0 0 1 4 7 ...

So the next digit in the sequence is 1.

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Filed Under: Number Series
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10 3632

Q:

A decision committee of 5 members is to be formed out of 4 Actors, 3 Directors and 2 Producers. In how many ways a committee of 2 Actors, 2 Directors and 1 Producer can be formed ?

A) 18	B) 24
C) 36	D) 32

Answer & Explanation Answer: C) 36

Explanation:

Required Number of ways = $4 C_{2} \times 3 C_{2} \times 2 C_{1} = 36$ = 36

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Filed Under: Permutations and Combinations
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17 3626

Q:

Commissioned - Antonym

A) Instruct	B) Empower
C) Nominate	D) Dismiss

Answer & Explanation Answer: D) Dismiss

Explanation:

Commissioned means Authority granted for a particular action or function.

Here, in the given options Dismiss is the only word which is opposite in meaning to commissioned.

Hence, Antonym of Commissioned is Dismiss.

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Filed Under: Alphabet Test
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