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
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29 21509

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
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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32 21452

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 21405

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 21392

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 21159

Q:

If he is intelligent,he will pass the examination

Assumptions:

1. To Pass,he must be intelligent

2. He will pass the examination

A) Only 1 is true	B) Only 2 is true
C) Either 1 or 2 is true	D) Neither 1 nor 2 is true

Answer & Explanation Answer: A) Only 1 is true

Explanation:

The statement mentions that he will pass if he is intelligent.So,1 is implicit.further,this means that it is not necessary that he will pass.So, 2 is not implicit

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Filed Under: Statement and Assumptions
Exam Prep: GRE

6 21085

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 21022

Q:

Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ?

A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840	B) Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840
C) Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840	D) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940

Answer & Explanation Answer: A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840

Explanation:

Initial investment of Ram = Rs.2500.
After 2 months he withdraw Rs.1250 from his capital.
Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months.

Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months.

And, Rakesh invested Rs.3500 for 3 months;

Their investing ratio:
Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)
= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42

Total profit for 6 months = Rs.2540
Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800
Raj's share = Rs.(2540 x 45/127) = Rs.900
Rakesh's share = Rs.(2540 x 42/127) = Rs.840

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Filed Under: Partnership
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8 20966

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