GRE Questions

Q:

Fastest Shorthand Writer was

A) Dr. G. D. Bist B) J.R.D. Tata
C) J.M. Tagore D) Khudada Khan
 
Answer & Explanation Answer: A) Dr. G. D. Bist

Explanation:

Dr. G. D. Bist, Guinness Record Holder, the first-ever Ph.D. in Stenography in the world.

 

He had achieved a highest speed of 250 w.p.m. in Shorthand.

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249 44211
Q:

At what rate percent per annum will a sum of money double in 8 years.

A) 12.5% B) 13.5%
C) 11.5% D) 14.5%
 
Answer & Explanation Answer: A) 12.5%

Explanation:

Let principal = P, Then, S.I.= P and Time = 8 years

We know that S.I. = PTR/100

Rate = [(100 x P)/ (P x 8)]% = 12.5% per annum.

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82 25337
Q:

A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

A) 650 B) 690
C) 698 D) 700
 
Answer & Explanation Answer: C) 698

Explanation:

S.I. for 1 year =  Rs. (854 - 815) = Rs. 39.

S.I. for 3 years = Rs.(39 x 3) = Rs. 117.

Principal = Rs. (815 - 117) = Rs. 698

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64 24862
Q:

What annual instalment will discharge a debt of Rs 1092 due in 3 years at 12% simple interest?

A) Rs.325 B) Rs.545
C) Rs.560 D) Rs.550
 
Answer & Explanation Answer: A) Rs.325

Explanation:

Let each instalment be Rs.x .

 

1st year =  [x + (x * 12 * 2)/100] 

2nd year = [ x + (x *12 * 1)/100] 

3rd year = x 

Then, [x + (x * 12 * 2)/100] + [ x + (x *12 * 1)/100] + x =1092 

3x + ( 24x/100 ) + ( 12x/100 )  = 1092 

336x =109200

Therefore, x = 325 

Each instalment = Rs. 325

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70 22280
Q:

If selling price is doubled, the profit triples. Find the profit percent ?

A) 100% B) 200%
C) 300% D) 400%
 
Answer & Explanation Answer: A) 100%

Explanation:

Let the C.P be Rs.100 and S.P be Rs.x, Then
The profit is (x-100)
Now the S.P is doubled, then the new S.P is 2x
New profit is (2x-100)
Now as per the given condition;
=> 3(x-100) = 2x-100
By solving, we get
x = 200
Then the Profit percent = (200-100)/100 = 100
Hence the profit percentage is 100%

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47 21284
Q:

The compound interest on rs.30000 at 7% per annum is Rs.4347. The period is

A) 2 years B) 2.5 years
C) 3 years D) 4 years
 
Answer & Explanation Answer: A) 2 years

Explanation:

Amount = Rs.(30000+4347) = Rs.34347

 

let the time be n years

 

Then,30000(1+7/100)^n = 34347

 

(107/100)^n = 34347/30000 = 11449/10000 = (107/100)^2

 

n = 2years

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34 21277
Q:

In how many years will a sum of Rs.800 at 10% per annum compounded semi annually become Rs.926.10

A) 1.5 B) 2.5
C) 3.5 D) 4.5
 
Answer & Explanation Answer: A) 1.5

Explanation:

Let the time be 'n' years, Then

 

800×1+51002n=926.10 <=> 1+51002n=92618000<=>21202n=21103

 

n = 3/2 or n= 112 Years 

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65 19930
Q:

What was the day of the week on 17th June, 1998 ?

A) Monday B) Tuesday
C) Wednesday D) Friday
 
Answer & Explanation Answer: C) Wednesday

Explanation:

17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)
Odd days in 1600 years = 0
Odd days in 300 years = 1
97 years has 24 leap years + 73 ordinary years.
Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.
Jan. Feb. March. April. May. June.
(31 + 28 + 31 + 30 + 31 + 17) = 168 days
168 days = 24 weeks = 0 odd day.
Total number of odd days = (0 + 1 + 2 + 0) = 3.
Given day is Wednesday.

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41 17578