GRE Questions

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

56 32834
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 32646
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 32565
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 32353
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
Exam Prep: GRE
Job Role: Analyst

42 32179
Q:

Look at the series :

3, 7, 24, 11, __, 19, 19,... What number should fill the blank ?

A) 15 B) 13
C) 21 D) 16
 
Answer & Explanation Answer: A) 15

Explanation:

Two series alternate here, with every third number following a different pattern.
In the main series, 4 is added to each number to arrive the next.
In alternate series, 5 is subtracted from each number t arrive the next number.
Here in the main series
3 + 4 = 7
7 + 4 = 11
11 + 4 = 15
15 + 4 = 19

In alternate series
24 - 5 = 19
19 - 5 = 14...

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Filed Under: Number Series
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23 32166
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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226 31468
Q:

Find the next number in the given number sequence?

4, 15, 37, 81, ?

A) 196 B) 169
C) 144 D) 121
 
Answer & Explanation Answer: B) 169

Explanation:

The given number series follows a pattern that, 4, 15, 37, 81, ?

4

4 + 11 = 15

15 + 22 = 37

37 + 44 = 81

81 + 88 = 169

 

Hence, the next number in the sequence is 169.

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10 31044