GRE Questions

Q:

If A + B = 2C and C + D = 2A, then

A) A + C = B + D B) A + C = 2D
C) A + D = B + C D) A + C = 2B
 
Answer & Explanation Answer: A) A + C = B + D

Explanation:

Given,

 

A + B = 2C ----(i)

 

C + D = 2A----(ii)

 

Adding (i) and (ii) we get : A + B + C + D = 2C + 2A  

=>  B + D = A + C

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Filed Under: Mathematical Operations
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508 34967
Q:

A father left a will of Rs.35 lakhs between his two daughters aged 8.5 and 16 such that they may get equal amounts when each of them reach the age of 21 years. The original amount of Rs.35 lakhs has been instructed to be invested at 10% p.a. simple interest. How much did the elder daughter get at the time of the will?

A) 17.5 lakhs B) 21 lakhs
C) 15 lakhs D) 20 lakhs
 
Answer & Explanation Answer: B) 21 lakhs

Explanation:

Let Rs.x be the amount that the elder daughter got at the time of the will. Therefore, the younger daughter got (3,500,000 - x).

 

The elder daughter’s money earns interest for (21 - 16) = 5 years @ 10% p.a simple interest.

 

The younger daughter’s money earns interest for (21 - 8.5) = 12.5 years @ 10% p.a simple interest.

 

As the sum of money that each of the daughters get when they are 21 is the same,

 

 x+5*10*x100=3,500,000-x+12.5*10*3,500,000-x100

 

 x+50x=3,500,000-x+125100*3,500,000-125x100

 

 2x+50x100+125x100=3,500,000*1+54

 

 200x+50x+125x100=94*3,500,000

 

 =>x=2,100,000=21 lakhs

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Filed Under: Simple Interest
Exam Prep: GRE

57 34898
Q:

Fossil : Extinction :: Puddle : ?

A) Wet B) Rain
C) Lake D) Dry
 
Answer & Explanation Answer: B) Rain

Explanation:

Here the relation between a fossil and extinction is that a fossil remains after an extinction. That is fossils are evidence of an extinction.

Similarly, puddle remains after it is rained. That is puddles are evidence of rain.

 

Therefore, Fossil is to Extinction as Puddle is to Rain.

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26 34460
Q:

If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ?

A) 31/25 B) 15/17
C) 14/25 D) 11/16
 
Answer & Explanation Answer: B) 15/17

Explanation:

The original fraction is  2551 × 350+100150+100  = 15/17.

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Filed Under: Percentage
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61 34242
Q:

A F Z U G L T _ 

Find the next letter in the above given letter series?

A) K B) M
C) O D) Q
 
Answer & Explanation Answer: C) O

Explanation:

Given series is A F Z U G L T _

Starts with A

A + 5 letters = F

go to end of alphabet= Z

Z - 5 letters = U

from F go one more to G + 5 letters = L

from U go one back to U, T - 5 letters = O

 

Second Method ::

Change the letters to their corresponding number.

A=1

B=2

C=3

...

Z=26

A F Z U G L T _

1 6 26 21 7 12 20 ?

Look at the pattern: the 1st and 3rd numbers = 27, 1+26

the 2nd and 4th numbers = 27, 6+21

the 5th and 7th numbers = 27,

so the 6 and 8th would also equal 27.

27 - 12 = 15,

so the letter is O.

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75 34173
Q:

Bill : Law :: ? : Insect

A) Pupa B) Stage
C) Larva D) Bird
 
Answer & Explanation Answer: C) Larva

Explanation:

A Bill becomes a Law; a Larva becomes an insect. (Or)

A Bill turns into a law; a Larva turns into an Insect.

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Filed Under: Analogy
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37 34110
Q:

If you are an engineer ,we have a challenging job for you

Assumptions:

1. We need an engineer

2. You are an engineer

A) Only 1 is true B) Only 2 is true
C) Either 1 or 2 is true D) Neither 1 or 2 is true
 
Answer & Explanation Answer: A) Only 1 is true

Explanation:

Clearly job is is offered to an engineer.This means that he is needed.So,1 is true.The word "If" in the statement 2 makes it false

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Filed Under: Statement and Assumptions
Exam Prep: GRE

3 33856
Q:

egbindinatl correct spelling

A) Television B) Dining table
C) Door step D) Telephone
 
Answer & Explanation Answer: B) Dining table

Explanation:
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Filed Under: English
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229 33018