GATE Questions and Answers with Explanation

Q:

The Hardest Logic Puzzle Ever?

If a giraffe has two eyes, a monkey has two eyes, and an elephant has two eyes, how many eyes do we have?

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

Answer & Explanation Answer: B) 4

Explanation:

4 eyes.

Here in the question, it is asked how many Eyes We have so that means here the person who has asked the question is also including the person who is suppose to give the answer. In a clear understanding, the Conversation is happening between 2 people 1st who asked the question and 2nd to whom it has been asked, which means there are 4 eyes.

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Filed Under: Logic Puzzles
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Q:

Correct the given sentence gramatically.

Shreya, who she is my best friend, is a singer.

A) Shreya, she who is my best friend, is a singer.	B) Shreya, who is my best friend, is a singer.
C) Shreya, is my best friend, who she is a singer.	D) All of the above

Answer & Explanation Answer: B) Shreya, who is my best friend, is a singer.

Explanation:

The relative pronoun acts as the subject or object of the relative clause. It replaces words like she, he, him, her, they, them etc.

It is, therefore, wrong to repeat the pronoun in the relative clause.

Hence, the correct sentence is Shreya, who is my best friend, is a singer.

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Filed Under: English
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Q:

Choose the Antonym of the given word from the following options

'Jettison'

A) Salvage	B) Submerge
C) Repent	D) Descend

Answer & Explanation Answer: A) Salvage

Explanation:

'Jettison' means to discard and 'salvage' means to rescue something discarded. Hence, 'salvage' is the word which is farthest in meaning to the given word 'Jettison'.

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Q:

which of the following are chemical changes?

A) Cooking of Food

B) Digestion of Food

C) Freezing of water

D) Water is heated up

A) A & B	B) A, B & C
C) C & D	D) All the above

Answer & Explanation Answer: A) A & B

Explanation:

A) Cooking of Food ------ Chemical Change

B) Digestion of Food ----- Chemical Change

C) Freezing of water ----- Physical Change

D) Water is heated up ---- Physical Change

because here the chemical composition of the substance changes in A & B only.

Since we know that, If the chemical composition is changing then it is a chemical change and if the chemical composition is remaining the same, then it is a physical change.

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Filed Under: Chemistry
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Q:

25% of 25% Is Equal To

A) 0.0625	B) 0.0210
C) 0.03145	D) 0.3210

Answer & Explanation Answer: A) 0.0625

Explanation:

25% of 25% means

25/100 of 25/100

i.e, 1/4 of 1/4

or in other words 1/4 x 1/4=1/16

Hence, the answer is 1/16 = 0.0625.

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Filed Under: Percentage
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85 245889

Q:

Which pair of atoms has the highest electronegativity difference?

(Calcium's electronegativity is 1.0

Fluorine's electronegativity is 4.0

Hydrogen's electronegativity is 2.2

Sodium's electronegativity is 0.93)

A) F-F	B) Ca-F
C) H-F	D) Na-F

Answer & Explanation Answer: D) Na-F

Explanation:

F-F = 4 - 4 = 0

Ca-F = 4 - 1 = 3.0

H-F = 4 - 2.2 = 1.8

Na-F = 4 - 0.93 = 3.07

Hence, the highest electronegativity difference is in Na-F.

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Filed Under: Chemistry
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Q:

A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?

A) 1/4	B) 1/2
C) 3/4	D) 7/12

Answer & Explanation Answer: C) 3/4

Explanation:

Let A, B, C be the respective events of solving the problem and $A, B, C$ be the respective events of not solving the problem. Then A, B, C are independent event

$∴ A, B, C$ are independent events

Now, P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4

$P (A) = \frac{1}{2}, P (B) = \frac{2}{3}, P (C) = \frac{3}{4}$

$∴$ P( none solves the problem) = P(not A) and (not B) and (not C)

= $P (A \cap B \cap C)$

= $P (A) P (B) P (C)$ $[∵ A, B, C a r e I n d e p e n d e n t]$

= $\frac{1}{2} \times \frac{2}{3} \times \frac{3}{4}$

= $\frac{1}{4}$

Hence, P(the problem will be solved) = 1 - P(none solves the problem)

= $1 - \frac{1}{4}$ = 3/4

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Filed Under: Probability
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Q:

Simplify the following :

$\frac{37^{3} + 35^{3} + 28^{3} - 3 x 37 x 35 x 28}{37^{2} + 35^{2} + 28^{2} - 37 x 35 - 35 x 28 - 37 x 28}$ ?

A) 100	B) 1
C) 4	D) 0

Answer & Explanation Answer: A) 100

Explanation:

Given $\frac{37^{3} + 35^{3} + 28^{3} - 3 x 37 x 35 x 28}{37^{2} + 35^{2} + 28^{2} - 37 x 35 - 35 x 28 - 37 x 28}$

It is in the form of

$\frac{a^{3} + b^{3} + c^{3} - 3 a b c}{a^{2} + b^{2} + c^{2} - a b - b c - c a}$ = a + b + c

Here a = 37, b = 35 & c = 28

=> a + b + c = 37 + 35 + 28 = 100

Therefore, $\frac{(37)^{3}+(35)^{3}+(28)^{3}-3x37x35x28}{(37)^{2}+(35)^{2}+(28)^{2}-37x35-35x28-37x28}$ = 100

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