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GRE- Discrete Quantitative Questions Set-1

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 1 What is the largest prime factor of 255? A. 255 B. 15 C. 5 D. 17 E. 51
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Explanation

A: 255 is divisible by 3, 5 etc so not a prime number.

B: 15 is divisible by 3 and 5 so not a prime number.

C: 5 is not divisible by any other numbers and is a prime number but let's explore other options also.

D: 17 is not divisible by any other numbers and is a prime number.

E: 51 is divisible by 3 and 17 so not a prime number.

Now we have 5 and 17 which are the prime factors of 255 and obviously 17 is larger.

Hence option D 17 is the correct answer.

 2 Determine the value of x in expression 82x-4 = 16x . A. 3 B. 6 C. 2 D. 4 E. 8
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Explanation

Let's rewrite the expression as

(23)2x-4 = (24)x

=> 23(2x-4) = 24x

By comparing both sides we can have

3(2x-4) = 4x => 6x - 12 = 4x => 2x = 12 => x = 6

 3 If a car is moving at a speed of 54 kilometer per hour, how many meters does it travel in one second? A. 10 B. 15 C. 20 D. 25 E. 30
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Explanation

If we convert 54 KM/H to meter/second then our problem is solved.

We know that 1 KM = 1000 meters and 1 hour = 60x60 seconds

Hence 54 KM/H = (54 x 1000) / (60 x60) m/s

=> 54 x (5 / 18) m/s => 15 m/s

Tips: It is always good and short to multiply by (5 /18) to convert a number in KM/H to meter/second .

 4 If p pencils cost c cents, how many pencils can you buy for d dollars? A. dp/100c B. 100dp/c C. 100cdp D. 100cd/p E. cdp
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Explanation

we know that c cents can buy p pencils

therefore 1 cent can buy p/c pencils.

And 1 dollar = 100 cents

therefore d dollar =  100d cents

so number of pencils bought in 100d cents is => 100d x (p/c) => 100dp/c

 5 What is p divided by p% of p? A. p2/100 B. 100/p2 C. 100p D. p/100 E. 100/p
See Answer & Explanation Lets Discuss
Explanation

Let's rewrite the question in expression form and solve

p / (p% of p)

= p / (p/100 x p)

= p / (p2/100)

= 100p / p2

= 100/p

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GRE- Discrete Quantitative Questions with Answers and Explanation

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