GRE Questions and Answers with Explanation

Q:

What loses its head every morning and gets it back every night?

A) Pillow	B) Candle
C) Moon	D) Light

Answer & Explanation Answer: A) Pillow

Explanation:

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Filed Under: Logic Puzzles
Exam Prep: AIEEE , Bank Exams , CAT , GRE , TOEFL
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29 21716

Q:

A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets ?

A) Rs.37,500	B) Rs.36,400
C) Rs.37,415	D) Rs.36,500

Answer & Explanation Answer: A) Rs.37,500

Explanation:

Assume A be the cost price.

Therefore,
$(\frac{3}{5} \times A \times \frac{10}{100}) - (\frac{2}{5} \times A \times \frac{5}{100}) = 1500$

=> A = Rs 37,500.

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Filed Under: Profit and Loss
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30 21671

Q:

A polygon has 44 diagonals, then the number of its sides are ?

A) 13	B) 9
C) 11	D) 7

Answer & Explanation Answer: C) 11

Explanation:

Let the number of sides be n.

The number of diagonals is given by ⁿC₂ - n

^{Therefore, n}C₂ - n = 44, n>0

ⁿC₂ - n = 44

n²- 3n - 88 = 0

n²-11n + 8n - 88 = 0

n(n - 11) + 8(n - 11) = 0

n = -8 or n = 11.

As n>0, n will not be -8. Therefore, n=11.

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Filed Under: Permutations and Combinations
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25 21665

Q:

It takes five minutes to pass a rumour from one person to two other persons. The tree of rumour continues. Find how many minutes does it take spread the rumour to 729 persons ?

A) 45 min	B) 25 min
C) 30 min	D) 36 min

Answer & Explanation Answer: C) 30 min

Explanation:

After 5 mins ..... 3 persons will get rumour
After 10 mins .... 3x2 + 3 = 9 = $3^{2}$ persons will get
after 15 =5x3 min ......9x2 + 9 =27 = $3^{3}$ persons will get news.
.
.
after 5x6 mins ... $3^{6}$ = 729 persons will get news.

Therefore, time taken to spread the rumour to 729 persons is 30 minutes.

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Filed Under: Arithmetical Reasoning
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23 21627

Q:

If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price.

A) 6:31	B) 11:30
C) 7:30	D) 31:6

Answer & Explanation Answer: C) 7:30

Explanation:

Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.
M.P. = (6/5) S.P.
Since the percentage discount = Percentage profit,
$\frac{\frac{6}{5} S . P - S . P}{\frac{6}{5} S . P} \times 100 = \frac{S . P - C . P}{C . P} \times 100$
Therefore, 1/6 = (S.P/C.P) – 1 => S.P = (7/6) C.P
M.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.P
Therefore, Ratio of discount to C.P
= (M.P – S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]
= 7/30

Therefore, the ratio is 7 : 30

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Filed Under: Profit and Loss
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32 21593

Q:

Retired persons should not be appointed for the posts in organisations

Assumptions:

1. Retried persons may lack zeal and commitment to carry out executive's work

2. Retried persons do not take intrest in the work and welfare of new organisations

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: D) Neither 1 or 2 is true

Explanation:

Since both 1 and 2 does not follow from the statement,so neither of them is implicit

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Filed Under: Statement and Assumptions
Exam Prep: GRE

4 21557

Q:

"If it does not rain throughout this month ,most farmers would be in trouble this year"

Assumptions:

1. Timely rain is essential for farming

2. Most farmers are generally dependent on rains

A) Only 1 is true	B) Only 2 is true
C) Either 1 or 2 is true	D) Both 1 and 2 follow

Answer & Explanation Answer: D) Both 1 and 2 follow

Explanation:

It is mentioned that farmers will be in troble without rain .This means that timely rain is essential.Also,it shows that farmers are dependent on rain.So,both 1 and 2 are true

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Filed Under: Statement and Assumptions
Exam Prep: GRE

10 21494

Q:

If yesterday were tomorrow, then today would be Friday. What day is today?

A) Saturday	B) Monday
C) Sunday	D) Tuesday

Answer & Explanation Answer: C) Sunday

Explanation:

If yesterday were tomorrow, today is Friday => tomorrow of friday is Saturday.

Hence, it implies that today is Sunday if tomorrow is Saturday.

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Filed Under: Calendar
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86 21393

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