GRE Questions and Answers with Explanation

Q:

At 6′o clock a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12′o clock ?

A) 66 sec	B) 55 sec
C) 36 sec	D) 24 sec

Answer & Explanation Answer: A) 66 sec

Explanation:

For ticking 6 times, there are 5 intervals.

Each interval has time duration of 30/5 = 6 secs

At 12 o'clock, there are 11 intervals,
so total time for 11 intervals = 11 x 6 = 66 secs.

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Filed Under: Clocks
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26 18316

Q:

What bet can never be won?

Answer

ALPHABET is the bet can never be won.

Workspace

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118 18280

Q:

Seven people A, B, C, D, E, F and G live on separate floors of a 7-floor building. Ground floor is numbered 1, first floor is numbered. 2 and so on until the topmost floor is numbered 7. Each one of these having a different cars-Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo but not necessarily in the same order. Only three people live above the floor on which A lives. Only one person lives between A and the one having a car Cadillac. F lives immediately below the one having a car Bedford. The one having a car Bedford lives on an even-numbered floor. Only three people live between the ones having a car Cadillac and Maruti. E lives immediately above C. E is not having a car Maruti. Only two people live between B and the one having a car Fargo. The one having a car Fargo lives below the floor on which B lives. The one having a car Fiat does not live immediately above D or immediately below B. D does not live immediately above or immediately below A. G does not have a car Ambassador.

Question :

How many people live between the floors on which D and the one having a car Bedford ?

A) One	B) Two
C) Three	D) Four

Answer & Explanation Answer: B) Two

Explanation:

111-151497940723.png image

Above is the table obtained from the given information in the passage.

There are two people (B & G) live between the floors on which D and the one having a car Bedford.

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Filed Under: Deriving Conclusions From Passages
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23 18244

Q:

What is the right most integer of the expression $65776^{759} + 54697^{467}$ ?

A) 4	B) 6
C) 9	D) 0

Answer & Explanation Answer: C) 9

Explanation:

Last digit for the power of 6 is 6 (always)

Power cycle of 7 is 7, 9, 3, 1.

Now 467/4 gives a remainder of 3

Then the last digit is $7^{3}$ = 3

Last digit is 6 + 3 = 9.

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Filed Under: Numbers
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8 18199

Q:

One type of liquid contains 25 % of benzene, the other contains 30% of benzene. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of benzene in the new mixture.

A) 27 %	B) 26 %
C) 29 %	D) 21 %

Answer & Explanation Answer: A) 27 %

Explanation:

Let the percentage of benzene = X
(30 - X)/(X- 25) = 6/4 = 3/2
=> 5X = 135
X = 27

So, required percentage of benzene = 27 %

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Filed Under: Alligation or Mixture
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30 18116

Q:

Fresh grapes contain 60% water, while dry grapes contain 40% water. How many kgs of dry grapes can be obtained by 60 kg of fresh grapes?

A) 25 kgs	B) 30 kgs
C) 35 kgs	D) 40 kgs

Answer & Explanation Answer: D) 40 kgs

Explanation:

The fruit content in both the fresh fruit and dry fruit is the same.

Let 'p' kgs of dry grapes are obtained from the 60 kgs of fresh grapes

=> $60 x \frac{40}{100} = p x \frac{60}{100} = > p = 40 kgs .$

Therefore, 40 kgs of Dry grapes are obtained from 60 kgs of Fresh grapes.

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Filed Under: Percentage
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21 18042

Q:

Frugal : Parsimonious :: ?

A) joy : ecstasy	B) rich : poor
C) love : hate	D) poor : misery

Answer & Explanation Answer: A) joy : ecstasy

Explanation:

Frugal and parsimonious are synonyms of each other and bear the meaning 'being stingy' or 'sparing'. Similarly, joy and ecstasy are related to happiness.

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Filed Under: Analogy
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9 18039

Q:

What is the smallest number by which 2880 must be divided in order to make it into a perfect square ?

A) 2	B) 3
C) 4	D) 5

Answer & Explanation Answer: D) 5

Explanation:

By trial and error method, we get
2880/3 = 960 is not a perfect square
2880/4 = 720 is not a perfect square
2880/5 = 576 which is perfect square of 24
Hence, 5 is the least number by which 2880 must be divided in order to make it into a perfect square.

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Filed Under: Numbers
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14 18009

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