GRE Questions and Answers with Explanation

Q:

A single pipe of diameter x has to be replaced by six pipes of diameters 12 cm each. The pipes are used to covey some liquid in a laboratory. If the speed/flow of the liquid is maintained the same then the value of x is ?

A) 14.69 cm	B) 29.39 cm
C) 18.65 cm	D) 22.21 cm

Answer & Explanation Answer: B) 29.39 cm

Explanation:

Volume of water flowing through 1 pipe of diameter x = Volume discharged by 6 pipes of diameter 12 cms.

As speed is same, area of cross sections should be same.

Area of bigger pipe of diameter x = Total area of 6 smaller pipes of diameter 12

i.e ${πR}^{2} = 6 πR 1^{2}$

Here R = R and R1 = 12/2 = 6

$\Rightarrow R^{2} = 6 \times 6 \times 6$

R = 14.696

=> D = X = 14.696 * 2 = 29.3938 cm.

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Filed Under: Volume and Surface Area
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9 6867

Q:

The 'M' Cooperative housing society has put up a notice at its gate that sales persons are not allowed inside the society

Assumptions:

1. All the sales persons stay away from 'M' Cooperation society

2. The security guard posted at the gate may be able to stop the sales persons entering the society

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:

Since both the assumptions follow from the given statement,So both 1 and 2 are implicit

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Filed Under: Statement and Assumptions
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6 6849

Q:

A term used interchangeably with diskette is

A) Floppy disk	B) Disk pack
C) Disk cartridge	D) Packette disk

Answer & Explanation Answer: A) Floppy disk

Explanation:

A term used interchangeably with diskette is Floppy disk.

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Filed Under: English
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5 6842

Q:

9 letter word if you lose it you die.

It is a 9 letter word - 123456789,

If u lose it you die,

If you have 234, you can 1234,

56 is one type of disease,

89 indicates exact location & time,

2 & 7 are same letter, 3 & 8 are same letter, 5 & 9 are same letter.

Guess the word?

Answer

The required 9 letter word is HEARTBEAT.

If we lose the heartbeat, we die. 234 is EAR, if we have EAR we can 1234, i.e, HEAR.

56 is a type of disease is TB.

Workspace

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Subject: Word Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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10 6778

Q:

Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?

___ utt ___ tt ___ ttu ___

A) t t u t	B) t u t t
C) t u u t	D) t t t u

Answer & Explanation Answer: C) t u u t

Explanation:

t, u, u and t.

The sequence is : tut tut tut tut.

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8 6744

Q:

A Product is supported each week by the same three Product supporters. Last month the first supporter took 440 calls, the second took 360 calls, and the third took 300 calls. This month the job will consists of 1500 calls. If the three supporters each increase their work proportionately, how many more calls will the second supporter take this month than last month ?

A) 131 calls	B) 160 calls
C) 491 calls	D) 600 calls

Answer & Explanation Answer: A) 131 calls

Explanation:

1st supporter recieve 440 calls
2nd supporter recieve 360 calls
3rd supporter recieve 300 calls

So total calls = 1100 calls ;
Calls this month= 1500
So remaining calls to be distributed is 400

So Now Ratio 1st:2nd:3rd ==> 440:360:300
=> 22:18:15

Now No. of More Calls 2nd supporter will get => [18/(22+18+15)] x 400
=> (18/55) x 400
=> 131 Calls
So 131 more Calls than last month.

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Filed Under: Ratios and Proportions
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7 6721

Q:

The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned ?

A) Rs. 11828.80	B) Rs. 19828.80
C) Rs. 9828.80	D) Rs. 19328.80

Answer & Explanation Answer: B) Rs. 19828.80

Explanation:

Let the sum be Rs. P
P{ ${(1 + \frac{8}{100})}^{2}$ - 1 } = 2828.80

It is in the form of $a^{2} - b^{2} = (a + b) (a - b)$

P(8/100)(2 + 8/100) = 2828.80

P = 2828.80 / (0.08)(2.08)

= 1360/0.08 = 17000

Principal + Interest = Rs. 19828.80

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12 6701

Q:

Rajitha invested 25% more than Santhosh. Santhosh invested 30% less than Raju, who invested Rs. 6,000. What is the ratio of the amount that Rajitha invested to the total amount invested by all of them together ?

A) 25 : 114	B) 35 : 103
C) 15 : 108	D) 41 : 94

Answer & Explanation Answer: B) 35 : 103

Explanation:

Santhosh's investment = 6000 x 70/100 = Rs.4200
Rajitha's investment = 4200 x 5/4 = Rs.5250
Therefore, total amount invested = 6000 + 4200 + 5250 = Rs.15450.
Required ratio = 5250 : 15450 = 35 : 103.

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