Question

Which calculation will ALWAYS give a result greater than 1?

A: 8/9 x a number less than 1
B: 7 x a number less than 1
C: 1 2/5 - a fraction less than 2/5

D: 3/7 + a number less than 1/2

Answer 1

C is the answer, because the statmen placed on this one is true 1&3/4 is actually greater then 3/4 when if you just left that 1 & 3/4 with just a one it would still be greater.

Answer 2

The correct option is C: 1 2/5 - a fraction less than 2/5 .

Explanation:

Consider the provided information.

We want the result is always greater than 1.

A: 8/9 x a number less than 1.

8/9 = 0.88... if we multiply it with a number less than 1, the result will always less than 1.

For example:

0.88... × 0.999.. = 0.88...

Thus, the option is incorrect.

B: 7 x a number less than 1

7 multiply a number less than 1 will not ALWAYS give a result greater than 1

For example:

7 × 0.01 = 0.07

Thus, the option is incorrect.

C: 1 2/5 - a fraction less than 2/5

1 2/5 = 7/5 or 1.4

2/5 = 0.4

If we subtract 1.4 from 0.4 the result will 1. But it is given that we can subtract a fraction less than 2/5.

That means the result will always greater than 1.

For example:

1.4 - 0.399999 = 1.000001

Which is greater than 1.

Thus, the option is correct.

D: 3/7 + a number less than 1/2

3/7 = 0.4286 (Approximately)

1/2 = 0.5

If we will add them the result will always less than 1.

So the sum of 3/7 and a number less than 1/2 will always less than 1.

Thus, the option is incorrect.

Hence, the correct option is C: 1 2/5 - a fraction less than 2/5 .