GATE Questions

Q:

Value of vehicle at end of each year depreciates at the rate of 3/5th of value at the beginning. If Initial value is 10,000Rs then at the end of three years its value is ? 

A) Rs. 6000 B) Rs. 3600
C) Rs. 2160 D) Rs. 415
 
Answer & Explanation Answer: C) Rs. 2160

Explanation:

End of first year     :  10000 x (3/5) = Rs. 6000
End of second year :  6000 x (3/5) = Rs. 3600
End of third year    :  3600 x (3/5) = Rs. 2160

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Filed Under: Percentage
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2 5769
Q:

Find the compound interest on Rs. 6,500 for 4 years if the rate of interest is 10% p.a. for the first 2 years and 20% per annum for the next 2 years? 

A) Rs. 3845 B) Rs. 4826
C) Rs. 5142 D) Rs. 4415
 
Answer & Explanation Answer: B) Rs. 4826

Explanation:

We know the formula for calculating

The compound interest C = P1 + r100n - 1 where P = amount, r = rate of interest, n = time

Here P = 5000, r1 = 10, r2 = 20

Then C = 65001 + 101002 x 1 + 201002 - 1= 6500 x 18562500= 65 x 185625

C = Rs. 4826.

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20 5769
Q:

60 percent of 2/7 of three-fourth of a number is 2664. What is the number ?

A) 20720 B) 21352
C) 25421 D) 24150
 
Answer & Explanation Answer: A) 20720

Explanation:

Let N be the required number. 

=> 60100x27x34xN=2664  

=> N = 2664x2x7x5/9  

=> N = 20720.

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Filed Under: Percentage
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10 5762
Q:

Which statement best compares a line and a point?

A) A point has no dimension and a line has one dimension. B) A line can have line segments on it whereas a point cannot be on any line segment.
C) point is a location whereas a line has several planes located on it D) A line can lie on a plane whereas a point cannot lie on a plane.
 
Answer & Explanation Answer: A) A point has no dimension and a line has one dimension.

Explanation:

A point has no dimension and a line has one dimension is the statement that best compares a line and a point.

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Filed Under: Arithmetical Reasoning
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4 5757
Q:

English words with similar meaning

A) Relegate - Downgrade B) Beautiful - Ugly
C) Qualm - Confidence D) Generic - Branded
 
Answer & Explanation Answer: A) Relegate - Downgrade

Explanation:

Relegate means Assigning an inferior rank or position to. That means, downgrading or pulling down, lower a person.

 

All other options have words with opposite in meaning.

 

Hence, Relegate is an English word which is similar in meaning to Downgrade.

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Filed Under: English
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9 5756
Q:

Solve the Math puzzle?

maths_puzzle1535777263.jpg image

A) 9 B) 15
C) 6 D) 12
 
Answer & Explanation Answer: C) 6

Explanation:

In the given puzzle, the logic is the product of the number and its preceeding number gives the result.

 

9 = 9 x 8 = 72

8 = 8 x 7 = 56

7 = 7 x 6 = 42

6 = 6 x 5 = 30

5 = 5 x 4 = 20

 

Similarly,

3 = 3 x 2 = 6.

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13 5751
Q:

A simple interest earned on certain amount is triple the money when invested for 16 years.what is the interest rate offered ?

A) 13.33 % B) 14.25 %
C) 16.98 % D) 18.75 %
 
Answer & Explanation Answer: D) 18.75 %

Explanation:

Given,
S.I = 3 Principal Amount
=> 3A = A x 16 x R/100
By solving, we get
=> R = 18.75%

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Filed Under: Simple Interest
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7 5736
Q:

P’s son Q is married with R whose sister S is married to T the brother of Q. How S is related to P ?

A) Daughter-in-law B) Sister
C) Cousin D) Sister-in-law
 
Answer & Explanation Answer: A) Daughter-in-law

Explanation:

Since T is the brother of Q
Therefore, P is the father of T
but S is the wife of T.
Hence, S is the daughter-in-law of P.

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Filed Under: Blood Relations
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