GRE Questions and Answers with Explanation

Q:

What mouse walks on 2 legs?

A) Anonymouse	B) Annabelle
C) House mouse	D) Micky mouse

Answer & Explanation Answer: D) Micky mouse

Explanation:

Micky mouse was the mouse that walks on 2 legs.

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Filed Under: Word Puzzles
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Q:

Two solutions have milk & water in the ratio 7:5 and 6:11. Find the proportion in which these two solutions should Be mixed so that the resulting solution has 1 part milk and 2 parts water ?

A) 7 : 12	B) 8 : 13
C) 9 : 4	D) 2 : 5

Answer & Explanation Answer: B) 8 : 13

Explanation:

To get the solution that contains 1 part of milk and two parts of water,
they must be mixed in the ratio as
7x+6x/5y+11y = 1/2
26x = 16y
x/y = 16/26
x/y = 8/13

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Filed Under: Ratios and Proportions
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19 12595

Q:

If $a^{2} + b^{2} = c^{2}$ , then $\frac{1}{l o g_{c + a} (b)} + \frac{1}{l o g_{c - a} (b)} = ?$

A) 1	B) 2
C) 4	D) 8

Answer & Explanation Answer: B) 2

Explanation:

Given $a^{2} + b^{2} = c^{2}$

Now $\frac{1}{\log_{c + a} (b)} + \frac{1}{\log_{c - a} (b)}$

= $\log_{b} (c + a) + \log_{b} (c - a)$

= $\log_{b} (c^{2} - a^{2})$

= $2 \log_{b} (b) = 2$

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Filed Under: Logarithms
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32 12589

Q:

One-quarter of one-seventh of a land is sold for Rs. 30,000. What is the value of an four fifteenth of land ?

A) Rs.1,92,000	B) Rs.2,24,000
C) Rs.1,26,000	D) Rs.3,42,000

Answer & Explanation Answer: B) Rs.2,24,000

Explanation:

One-quarter of one-seventh = 1/4 x 1/7
= 1/28
Now, 1/28 of a land costs = Rs. 30,000
Thus, 8/35 of the land will cost = 30,000 x 28 x 4/15
= Rs. 2,24,000.

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Filed Under: Percentage
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15 12587

Q:

How many meaningful English words can be formed with the letters LGEU using each letter only once in each word ?

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

Answer & Explanation Answer: B) One

Explanation:

'GLUE' is the only meaningful word that can be formed using the letters given.

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Filed Under: Alphabet Test
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22 12548

Q:

If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ?

A) 24%	B) 29%
C) 34%	D) 25%

Answer & Explanation Answer: D) 25%

Explanation:

Here, k = 7 and l = 28
Therefore, first number = $\frac{k}{l}$ x100 % of second number = 7/28 x 100% of second number = 25% of second number.

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Filed Under: Percentage
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Q:

Fill in the blank with suitable preposition in the following sentence.

____ the two I prefer tea.

A) From	B) In
C) Between	D) Among

Answer & Explanation Answer: C) Between

Explanation:

Between the two I prefer tea is the correct sentence with suitable preposition.

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Filed Under: Inserting The Missing Character
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31 12435

Q:

Two Fathers and Two Sons walk into a ice cream parlour. They each buy something for Rs. 50 but they only spent Rs. 150. How is that possible?

Answer

One grandfather, One father and One son makes two fathers and two sons.

Workspace

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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