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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

See Answer & Explanation Lets Discuss
Correct answer is : D
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

See Answer & Explanation Lets Discuss
Correct answer is : B
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

See Answer & Explanation Lets Discuss
Correct answer is : B
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 Smile.

 
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

See Answer & Explanation Lets Discuss
Correct answer is : B
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
Correct answer is : E
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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