GRE Questions

Q:

A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train?
     

A) 42 kmph B) 43 kmph
C) 40 kmph D) 45 kmph
 
Answer & Explanation Answer: C) 40 kmph

Explanation:

We know that,  Speed = Distance/time

 

Let the speed of the train be = x kmph

           NORMAL SPEED                           SPEED 5 KMPH MORE

          Distance = 360 Km                         Distance =360
 
          speed    =  X Kmph                        Speed = (x+5)
 
            Time =360/X                              Time =360/(x+15)
          

 

For the same journey if the speed increased 10 kmph more it will take 1 hour less

 


Time with original speed - time with increased speed = 1

 => (360/x) - (360/x+10) =  1                               

 =>  (360(x+5)-360x)/x(x+5) =1

 =>   360X + 1800 -360X  = X(X+5)

  =>   X^2 + 5x - 1800 = 0

  X = 40 or -45

 X cannot be negetive value
                  

 X = 40 kmph.

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Filed Under: Problems on Trains
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Q:

“Neither a borrower nor a lender be, for loan oft loses both itself and friend.”

What is the meaning of the given phrase?

Answer

It is said by Lord Polonius.



It means do not lend or borrow money from a friend, because if you do so, you will lose both your friend and your money. If you lend, he will avoid paying back, and if you borrow you will fall out of your savings, as you turn into a spendthrift, and face humiliation.

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Q:

If 5x - 17 = -x + 7, then x = ?

A) 4 B) 5
C) 7 D) 9
 
Answer & Explanation Answer: A) 4

Explanation:

Given equation  5x-17 = -x+7

Add 1x to each side of the equation

5x-17+x = -x+7+x

6x=24

x=4

 

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Filed Under: Logarithms
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Q:

I have 9 letters, Nobody can read without me, 4+5+6 is an animal, 7 is me, 3 is u, 2+8+9+1 is completed. Who am I ?

A) Literature B) Dictionary
C) Education D) Dedication
 
Answer & Explanation Answer: C) Education

Explanation:

The answer is EDUCATION

 

4,5,6 make up the word cat,

7th is 'i' which means me,

3rd letter is 'u' which mean you,

2,8,9,1 make up the word done, which means completed

and nobody can read without education.

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Q:

which alphabet is a fly?

A) Y B) C
C) B D) G
 
Answer & Explanation Answer: C) B

Explanation:

The alphabet 'B' resembles same as a fly 'Bee' in pronouncing.

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Filed Under: Word Puzzles
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3 3188
Q:

Solve the values?

solve_puzzle1547893377.jpg image

A) P=0, Q=8, R=1 B) P=0, Q=9, R=1
C) P=1, Q=9, R=0 D) P=0, Q=9, R=0
 
Answer & Explanation Answer: D) P=0, Q=9, R=0

Explanation:

By trial and error method,

P=0, Q=9, R=0 satisfies the values.

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Filed Under: Math Puzzles
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7 3188
Q:

Of outstanding significance

A) Ominous B) Monumental
C) Evident D) Rational
 
Answer & Explanation Answer: B) Monumental

Explanation:

The one word substitution for Of outstanding significance is monumental which has a meaning of great in importance, in size or any such characteristic.

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Filed Under: English
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0 3181
Q:

Why are manhole covers round?

Answer

A number of possible explanations for why manhole covers are round include :


 


1. A round manhole cover cannot fall through its circular opening, whereas a square, rectangular, or oval manhole cover could fall in if it were inserted diagonally in the hole.


2. Circular covers don’t need to be rotated or precisely aligned when placing them on the opening.


3. A round manhole cover is easily moved and rolled.


4. Human beings have a roughly circular cross-section.


5. Round tubes are the strongest shape against the compression of the earth around them, so the cover of the tube would naturally be round as well.


6. It’s easier to dig a circular hole.

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