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GATE Questions

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Q:

Which of the following gases is present under pressure in soft drinks?

A) Nitrous oxide B) Oxygen
C) Nitrogen D) Carbon dioxide
 
Answer & Explanation Answer: D) Carbon dioxide

Explanation:

Carbon dioxide is present under pressure in soft drinks.

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Filed Under: Chemistry
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2 4863
Q:

If (1 × 2 × 3 × 4 ........ × n) = n!, then 15! - 14! - 13! is equal to ___?

A) 14 × 13 × 13! B) 15 × 14 × 14!
C) 14 × 12 × 12! D) 15 × 13 × 13!
 
Answer & Explanation Answer: D) 15 × 13 × 13!

Explanation:

15! - 14! - 13!

= (15 × 14 × 13!) - (14 × 13!) - (13!)

= 13! (15 × 14 - 14 - 1)

= 13! (15 × 14 - 15)

= 13! x 15 (14 - 1)

= 15 × 13 × 13!

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Filed Under: Permutations and Combinations
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9 4862
Q:

82.5% of 2360?

A) 1960 B) 1954
C) 1947 D) 1931
 
Answer & Explanation Answer: C) 1947

Explanation:

Given 82.5% of 2360

 82.5100 x 2360 = 0.825 x 2360 = 1947

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Filed Under: Percentage
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6 4860
Q:

Which alphabet is a tools?

A) X B) S
C) A D) Y
 
Answer & Explanation Answer: A) X

Explanation:

The letter 'X' resembles the same as the tool AXE in sounding.

 

Hence, the alphabet X is a tool.

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Filed Under: Logic Puzzles
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6 4853
Q:

A is brother of B, C is daughter of B, D is husband of B, E is daughter of A, What is the relationship between C and D ?

A) Mother & Son B) Father & Daughter
C) Mother & Daughter D) Father & Son
 
Answer & Explanation Answer: B) Father & Daughter

Explanation:
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Filed Under: Blood Relations
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30 4851
Q:

A lady took loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 5400 interest only for the period. The principal amount borrowed by her was :

A) Rs. 15,000 B) Rs. 1,50,000
C) Rs. 1500 D) Rs. 1,62,000
 
Answer & Explanation Answer: A) Rs. 15,000

Explanation:

Principal = Rs.(100 x 5400)/(12 x 3)= Rs. 15000.

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Filed Under: Simple Interest
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3 4850
Q:

Everyone has it and no one can lose it. What is it?

A) Face B) Teeth
C) Hair D) Shadow
 
Answer & Explanation Answer: D) Shadow

Explanation:
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Filed Under: Logic Puzzles
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3 4850
Q:

Let K and L be events on the same sample space, with P (K) = 0.8 and P (B) = 0.6. Are these two events are disjoint ?

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

Explanation:

These two events cannot be disjoint because P(K) + P(L) > 1.


P(AꓴB) = P(A) + P(B) - P(AꓵB).


An event is disjoint if P(A ꓵ B) = 0. If K and L are disjoint P(K ꓴ L) = 0.8 + 0.6 = 1.4


And Since probability cannot be greater than 1, these two mentioned events cannot be disjoint.

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Subject: Probability
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3 4849