GRE Questions and Answers with Explanation

Q:

How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even ?

A) 521	B) 720
C) 420	D) 225

Answer & Explanation Answer: B) 720

Explanation:

Let last digit is 2
when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways.
so for last digit = 2, total numbers=240

Similarly for 4 and 6
When last digit = 4, total no. of ways =240
and last digit = 6, total no. of ways =240
so total of 720 even numbers are possible.

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Filed Under: Permutations and Combinations
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14 17644

Q:

The amount of water (in ml) that should be added to reduce 9 ml lotion, containing 50% alcohol, to a lotion containing 30% alcohol is ?

A) 6 ml	B) 11 ml
C) 15 ml	D) 9 ml

Answer & Explanation Answer: A) 6 ml

Explanation:

Let us assume that the lotion has 50% alcohol and 50% water.
ratio = 1:1
As the total solution is 9ml
alcohol = water = 4.5ml
Now if we want the quantity of alcohol = 30%
The quantity of water = 70%
The new ratio = 3:7
Let x ml of water be added
We get,
$\frac{4.5}{4.5 + x} = \frac{3}{7}$
=> x=6
Hence 6ml of water is added.

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Filed Under: Alligation or Mixture
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29 17629

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 17628

Q:

What bet can never be won?

Answer

ALPHABET is the bet can never be won.

Workspace

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116 17347

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 17323

Q:

8 is related to 81 in the same way as 64 is related to ____

A) 225	B) 425
C) 525	D) 625

Answer & Explanation Answer: D) 625

Explanation:

The relationship is $x^{y} : {(x + 1)}^{(y + 1)}$

Now , $64 = 4^{3}$

So, required number = ${(4 + 1)}^{(3 + 1)}$ = $5^{4}$ = 625

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Filed Under: Analogy
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129 17298

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 17288

Q:

What City has No People?

A) Velocity	B) Electricity
C) Elasticity	D) All the above

Answer & Explanation Answer: D) All the above

Explanation:

Answer for What City has No People can be any of these words which has city in it like Velocity, Elasticity or Electricity.

In general the answer for the riddle What City has No People is Electricity.

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Filed Under: Word Puzzles
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50 17288

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