GRE Questions and Answers with Explanation

Q:

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 1155. The simple interest on the same sum for double the time at half the rate percent per annum is ?

A) Rs. 1100	B) Rs. 5500
C) Rs. 1400	D) Rs. 4120

Answer & Explanation Answer: A) Rs. 1100

Explanation:

Let the sum be Rs.x. Then,

$[x {(1 + \frac{10}{100})}^{2} - x] = 1155$

$\Rightarrow x [{(\frac{11}{10})}^{2} - 1] = 1155$

=> x =5500

sum = Rs. 5500.

So, S.I = Rs. $(\frac{5500 \times 5 \times 4}{100})$ = 1100

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Filed Under: Compound Interest
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2 5971

Q:

The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube ?

A) 15 m	B) 4 m
C) 6 m	D) 9 m

Answer & Explanation Answer: C) 6 m

Explanation:

The edge of the new cube is = $3^{3} + 4^{3} + 5^{3} = a^{3}$ => a = 6 m.

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Filed Under: Area
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6 5948

Q:

On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ?

A) Rs. 5422	B) Rs. 10,500
C) Rs. 12,800	D) Rs. 15,000

Answer & Explanation Answer: B) Rs. 10,500

Explanation:

The ratio of distribution should be:
21 x 15 : 15 x 35 : 35 x 21
= 315 : 525 : 735
= 3 : 5 : 7
The smallest share will be of worth:
3/15 x 52,500 = Rs. 10,500

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Filed Under: Ratios and Proportions
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6 5940

Q:

If CGKQW is one sequence following a logic, and another five-letter sequence following similar type of logic is BFJPV, then one more variation of this type can be ?

A) VPCFT	B) DHLRX
C) CFKNT	D) None

Answer & Explanation Answer: B) DHLRX

Explanation:

The logic behind the sequence given in the question is +4, +4, +6, +6
Therefore, the sequence which follows the same logic in the given options is DHLRX.

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Filed Under: Alphabet Test
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5 5932

Q:

There are 600 Kabaddi players 4% wear knee band on one leg. Of the remaining, 25% wear knee bands on both legs. How many players don't wear a knee band ?

A) 426	B) 428
C) 415	D) 432

Answer & Explanation Answer: D) 432

Explanation:

There are 600 Kabaddi players
4% wear knee band on one leg
Remaining players = 600 x 0.96 = 576
Of the remaining, 25% wear knee bands on both leg
and Of the remaining, 75% do not wear knee bands .
So players not wearing knee bands = 0.75 x 576 = 576 x 3/4 = 144 x 3 = 432.

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Filed Under: Percentage
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5 5913

Q:

When Ankith saw Sanvi, he recalled, " She is the daughter of the father of my daughter's mother." Who is Sanvi to Ankit ?

A) sister	B) daughter-in-law
C) sister-in-law	D) cousin

Answer & Explanation Answer: C) sister-in-law

Explanation:

Ankit's daughter's mother---Ankit's wife; Ankit's wife's father---Ankit's father-in-law;
Father-in-law's daughter--- Ankit's sister-in-law. So, Sanvi is sister-in-law of Ankit.

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Filed Under: Blood Relations
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6 5908

Q:

Solve this number puzzle?

Number_puzzle_41538031779.jpg image

A) 111	B) 121
C) 1111	D) 0

Answer & Explanation Answer: B) 121

Explanation:

Given

1 = 1 => 1 x 11 = 11

2 = 22 => 2 x 11 = 22

3 = 33 => 3 x 11 = 33

...

Similarly,

11 => 11 x 11 = 121.

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Filed Under: Number Puzzles
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16 5906

Q:

Arrange the given words in the sequence in which they occur in the dictionary.

1. Scarecrow

2. Scenery

3. Satisfied

4. Shallow

5. Spelling

A) 42315	B) 31245
C) 12435	D) 23451

Answer & Explanation Answer: B) 31245

Explanation:

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Filed Under: Logical Sequence of Words
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