GATE Questions and Answers with Explanation

Q:

If $A = \frac{l o g_{3} (2187)}{5}$ and $B = l o g_{243} (2187)$ , then which one of the following is correct?

A) A	B) A=B
C) A>B	D) can't be determined

Answer & Explanation Answer: B) A=B

Explanation:

Given $A = \frac{\log_{3} (2187)}{5} a n d B = \log_{243} (2187)$

$B = \log_{3^{5}} (2187) = \frac{\log_{3} (2187)}{5}$

=> A

Therefore, A = B

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Filed Under: Logarithms
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7 4824

Q:

In following question, a number series is given with one term missing. Choose the correct alternative for these sequence.

24, 60, 120, 210, ?

A) 336	B) 330
C) 300	D) 370

Answer & Explanation Answer: A) 336

Explanation:

3 x 3 x 3 = 27 - 3 = 24

4 x 4 x 4 = 64 - 4 = 60

5 x 5 x 5 = 125 - 5 = 120

6 x 6 x 6 = 216 - 6 = 210

7 x 7 x 7 = 343 - 7 = 336

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Filed Under: Number Series
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14 4818

Q:

"Good Samaritan Policy" has been launched by which state / union territory government?

A) Delhi	B) Karnataka
C) Telangana	D) Gujarath

Answer & Explanation Answer: A) Delhi

Explanation:

The Delhi government has recently approved 'Good Samaritan Policy' under which monetary incentive of Rs 2,000 and appreciation certificate will be given to people who help road accident victims in the national capital. The scheme is intended to encourage people to take accident victims in emergency situation to hospitals so that someone’s life could be saved.

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Filed Under: General Awareness
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18 4815

Q:

If the boat goes 7 kms upstream in 42 min and speed of the stream is 3 kmph, then the speed of the boat in still water ?

A) 14 kmph	B) 13 kmph
C) 12 kmph	D) 11 kmph

Answer & Explanation Answer: B) 13 kmph

Explanation:

Given that, upstream distance = 7 kms

Upstream speed = 7/42 x 60 = 10 kms

Speed of the stream = 3 kmph

Let speed in still water = M kmph, then

Upstream speed = M - 3 = 10

=> M = 13 kmph.

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Filed Under: Boats and Streams
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10 4813

Q:

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn find the probability the card drawn is red.

A) 2/3	B) 1/2
C) 1/52	D) 13/51

Answer & Explanation Answer: B) 1/2

Explanation:

We know that:

When one card is drawn from a pack of 52 cards

The numbers of possible outcomes n(s) = 52

We know that there are 26 red cards in the pack of 52 cards
⇒ The numbers of favorable outcomes n(E) = 26

Probability of occurrence of an event: P(E)=Number of favorable outcomes/Numeber of possible outcomes=n(E)/n(S)

∴ required probability = 26/52 = 1/2.

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Filed Under: Probability
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10 4804

Q:

Find the odd one out of the following words ?

A) cruise	B) crusade
C) expedition	D) campaign

Answer & Explanation Answer: A) cruise

Explanation:

Cruise = a sea voyage for pleasure. All other words are related to ‘journey on land, sea with an aim’.

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Filed Under: Analogy
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3 4798

Q:

What Does BIOS Stand For

A) Backup Input Output System	B) Battery Integrated Operating Setup
C) Basic Input Output System	D) Better Integrated Operating System

Answer & Explanation Answer: C) Basic Input Output System

Explanation:

BIOS in computers stands for Basic Input Output System.

BIOS is a set of computer instructions in firmware which control input and output operations.

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Filed Under: Computer
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25 4793

Q:

A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger ?

A) 10 sec	B) 48 sec
C) 36 sec	D) 56 sec

Answer & Explanation Answer: C) 36 sec

Explanation:

Given speed of jogger = 9 kmph
Speed of train = 45 kmph
As they are in same direction,
Relative speed = 45 - 9 = 36 kmph = 36x5/18 = 10 m/s
Distance = 240 + 120 = 360 mts
Time = distance/speed = 360/10 = 36 sec.

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Filed Under: Problems on Trains
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2 4791

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