Problems on Numbers Quiz Set 018

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Question 1

How many prime factors does 67500 have?

 A

9.

 B

10.

 C

8.

 D

11.

Soln.
Ans: a

We can see that $67500 = 2^2 × 3^3 × 5^4$. The number of prime factors is sum of the powers = 9.


Question 2

What is x in $1{19/x}$ × $1{7/8}$ = $2{9/23}$?

 A

69.

 B

70.

 C

68.

 D

71.

Soln.
Ans: a

We can see that $1{19/x}$ = ${55/23}$ × ${8/15}$. ⇒ ${1x + 19}/x$ = ${88/69}$ ⇒ x = 69.


Question 3

If 1 of a number is 10, what is ${3/8}$ of that number?

 A

$3{3/4}$.

 B

$6{1/3}$.

 C

$1{5/6}$.

 D

$4{1/2}$.

Soln.
Ans: a

Let the number be N. Then it is given that 1 x N = 10. ⇒ N = 10 X 1. ⇒ ${3/8}$ x N = ${3/8}$ x 10 X 1 = ${15/4}$.

${15/4}$ is same as $3{3/4}$.


Question 4

How many prime factors does 810810000 have?

 A

15.

 B

16.

 C

14.

 D

17.

Soln.
Ans: a

We can see that $810810000 = 2^4 × 3^4 × 5^4 × 7^1 × 11^1 × 13^1$. The number of prime factors is sum of the powers = 15.


Question 5

If $6/17$ of a number is 78, what is the number?

 A

221.

 B

222.

 C

220.

 D

223.

Soln.
Ans: a

Let the number be N. Then ${6/17}$ x N = 78. ⇒ N = 78 x ${17/6}$ = 221


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This Blog Post/Article "Problems on Numbers Quiz Set 018" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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