# TANCET 2008 Quant Question 3 : Number Properties - Fractions

## Question

If two fractions, each of which has a value between 0 and 1, are multiplied together, the product will be:

- always greater than either of the original fractions
- always less than either of the original fractions
- sometimes greater and sometimes less than either of the original fractions
- remains the same
- never less than either of the original fractions

**Correct Answer :** always less than either of the original fractions. Choice (2)

#### Explanatory Answer

The easiest way to solve this question is to take values.

The question states that the two fractions, each have values between 0 and 1.

Let us say on of the fraction is

and the other fraction is

.

The product of the two fractions is

*

=

.

is lesser than both

and

.

So, the correct answer is that the product is

**always less than either of the original fractions**.

Correct Answer (2)

Level of difficulty : Easy

## More Questions Answers on Number Theory

## CAT, XAT, TANCET Practice Questions and Answers : Listed Topicwise