GRE Questions

Q:

Melt : Liquid :: Freeze : ?

A) Condense B) Solid
C) Ice D) Crystal
 
Answer & Explanation Answer: B) Solid

Explanation:

Here the relation in the given words is, First is the process of formation of the second.

That is, when anything melts, it forms liquid. Similarly, when anything freezes it forms solid.

 

Hence, Melt : Liquid :: Freeze : Solid.

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Filed Under: Analogy
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84 32407
Q:

At what rate of compound interest per annum will a sum of rs.1200 becomes rs.1348.32 in 2 years

A) 66%% B) 6.5%
C) 7% D) 7.5%
 
Answer & Explanation Answer: A) 66%%

Explanation:

rate=r%

1200 (1+r/100)^2=1348.32

r=6%

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Filed Under: Simple Interest
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42 31897
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
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56 31836
Q:

If  1 1 1 1 = R
    2 2 2 2 = T
    3 3 3 3 = E
    4 4 4 4 = N

 

Then  5 5 5 5 = ?

A) Y B) Z
C) T D) X
 
Answer & Explanation Answer: A) Y

Explanation:

If you add all the terms of the LHS of equality, then the last letter of the sum written in words would give you the RHS.

1 + 1 + 1 + 1 = 4 = FOUR

2 + 2 + 2 + 2 = 8 = EIGHT

3 + 3 + 3 + 3 = 12 = TWELVE

4 + 4 + 4 + 4 = 16 = SIXTEEN

 

So, following the same pattern.

5 + 5 + 5 + 5 = 20 = TWENTY

 

That gives us our answer to 5 5 5 5 =  "Y".

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70 31763
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 31609
Q:

Find the next number in the sequence?

28, 16, 28, 76, 274

A) 1233 B) 1243
C) 1256 D) 1276
 
Answer & Explanation Answer: B) 1243

Explanation:

Given number sequence is 28, 16, 28, 76, 274

Here the sequence follows a pattern that

28

28 x 0.5 + 2 = 14 + 2 = 16

16 x 1.5 + 4 = 24 + 4 = 28

28 x 2.5 + 6 = 70 + 6 = 76

76 x 3.5 + 8 = 266 + 8 = 274

274 x 4.5 + 10 = 1233 + 10 = 1243

 

Hence, the next number in the given number sequence is 1243.

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1 31422
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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37 31393
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 31385