Question

Which number produces a rational number when multiplied by 1/5

Answer 1

B.
`(-2)/(3)`

Explanation:

Rational Number is a number of the form
`(p)/(q)`, where p & q are integers and q ≠ 0.

Further, Natural numbers can be a rational number.

Also, all repeating and terminating decimals are rational.

Option A is incorrect as π is an irrational number. So, if we multiply any number then the resulting number will also an irrational number.

Option B is correct as
`(-2)/(3)` is rational number and when multiply with any rational number or
`(1)/(5)` also produces a rational number. i.e.
`(-2)/(3)*(1)/(5)=(-2)/(15)` = -0.1333333... as it is repeating decimal so it is rational number.

Options C and D are incorrect as -1.41421356.... and √11 are irrational numbers so when multiply with a rational number produces an irrational number.