GATE Questions and Answers with Explanation

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
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5 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:

(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 2722

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 2721

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 2721

Q:

Which microscope is often used to view metal surfaces?

A) Optical microscopes	B) Scanning tunneling microscopes
C) Electron microscopes	D) None of the above

Answer & Explanation Answer: B) Scanning tunneling microscopes

Explanation:

Microscopes are of three types. They are :

1) Optical microscopes

2) Electron microscopes

3) Scanning tunneling microscopes

Which_microscope_is_often_used_to_view_metal_surfaces1538720175.png image

Scanning tunneling microscopes are the microscopes that are used to view metal surfaces.

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Filed Under: Physics
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0 2720

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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3 2713

Q:

The C shape of the tracheal cartilages is important because

A) divide the nasal cavity	B) Allows for expansion or contraction of the trachea
C) provide a surface for the sense of smell	D) All of the above

Answer & Explanation Answer: B) Allows for expansion or contraction of the trachea

Explanation:

Allows for expansion or contraction of the trachea. Hence, so large masses of food can pass through the esophagus during swallowing.

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Filed Under: Biology
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