What could be the value of
$R$ for the given relation, if $R = 3 P$ ?

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Solution

The correct option is D 3
P and R are single digit numbers such that R = 3P.
The possible combinations of P and R are:

P R = 3P

1 3

2 6

3 9

If P =4, then R = 3 (4) = 12, which is not possible because R is a single digit number.
$∴$ P cannot be greater than 3. The possible values of P and R are only the ones shown in the table.

The units digit of the product of the given numbers is R and it is obtained by multiplying the units digits of both the numbers, i.e., P and R.
1 $\times$ 3 = 3
2 $\times$ 6 = 12 $\Rightarrow$ units digit = 2
3 $\times$ 9 = 27 $\Rightarrow$ units digit = 7

It is clear that P $\times$ R = R is satisfied only when P =1 and R = 3.

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