GATE Questions

Q:

Assertion(A) : The steam engine was invented by James Watt.
Reason(R) : There was a problem of taking out water from flooded mines.

A) R correctly explains A B) R is true but A is fale
C) A is true but R is false D) Both A and R are false
 
Answer & Explanation Answer: A) R correctly explains A

Explanation:

The problem of pumping out water from the flooded mines provided the need of self-working engine, which led James Watt to invent the same.
Thus, both A and R are true & R correctly explains A.

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Filed Under: Assertion and Reason
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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8 8017
Q:

H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 24 x 35 x 52 x 72 . What is the third number?

A) 47628 B) 49874
C) 24157 D) 42146
 
Answer & Explanation Answer: A) 47628

Explanation:

hcf_of_three_numbers_3240,_3600_and_third_number_is_361542439249.jpg image

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Filed Under: HCF and LCM
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17 8000
Q:

Derivative of sinx by first principle?

A) -sinx B) -cosx
C) cosx D) sinx
 
Answer & Explanation Answer: C) cosx

Explanation:

Screenshot_(1)1519127168.png image

 

Thus, the derivative of sinx by first principle is cosx.

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4 7993
Q:

Ishikha got married 9 years ago. Today her age is 4/3 times her age at the time of marriage. At present her daughter’s age is one-sixth of her age. What was her daughter’s age three years ago?

A) 4 years B) 3 years
C) 2 years D) 1 year
 
Answer & Explanation Answer: B) 3 years

Explanation:

Let Ishika and her daughter present ages be p and q

 From the given data, 

p = 4/3(p - 9)

 => p = 36 years 

Hence, Ishika's present age = 36 years and

Her daughter's present age = 1/6 x 36 = 6 years 

Now, required her daughter’s age three years ago = 6 - 3 = 3 years.

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13 7987
Q:

Which of the following statements is correct?

 

A) I am very happy to start this Program B) I am too happy to start this Program
C) Both A & B D) None
 
Answer & Explanation Answer: A) I am very happy to start this Program

Explanation:

Here I am very happy to start this Program is correct statement.

"Too" is not used with pleasant adjectives. It means 'more than required' and is usually used with unpleasant adjectives.

So, 'too healthy', 'too happy', 'too glad' etc are wrong.

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13 7987
Q:

For purifying drinking water alum is used

A) TRUE B) FALSE
Answer & Explanation Answer: A) TRUE

Explanation:

In purifying drinking water alum is used for coagulation of mud particles.

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Subject: General Science
Exam Prep: AIEEE , Bank Exams , GATE
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7 7984
Q:

A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior ?

A) ²²C₁₀ + 1 B) ²²C₉ + ¹⁰C₁
C) ²²C₁₀ D) ²²C₁₀ - 1
 
Answer & Explanation Answer: D) ²²C₁₀ - 1

Explanation:

The total number of ways of forming the group of ten representatives is ²²C₁₀.
The total number of ways of forming the group that consists of no seniors is ¹⁰C₁₀ = 1 way
The required number of ways = ²²C₁₀ - 1

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Filed Under: Permutations and Combinations
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2 7984
Q:

64 S on CB?

Answer

The given statement implies that 64 Squares on Carrom Board.

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14 7974