Question

Read the following statements and answer the given question.
i) $P\times Q$ means Q is the mother or P.
ii) $P+Q$ means P is the brother of Q.
iii) $P-Q$ means P is the sister of Q.
iv) $P÷Q$ means Q is the father of P.
Which of the following definitely means, 'R is the grandson of K'?

• A. $R\times T÷K$
• B. $M+R\times T÷K$
• C. $M-R\times T÷K$
• D. Cannot be determined
• E. None of these

Answer 1

The correct option is E None of these

Option (1)
$R\times T+K$
$R\times T\Rightarrow$ T is the mother of R.
$T÷K\Rightarrow$ K is the father of T.
Thus, K is the grandfather of R.
Thus, K is the grandfather of R.
But the sex of R is not known. Therefore, we cannot say whether R is the grandson of the granddaughter of K.
Option (2)
$M+R\times T÷K$
$M+R\Rightarrow$ M is the brother of R.
$R\times T\Rightarrow$ T is the mother of R.
$T÷K\Rightarrow$ K is the father of T.
Thus, K is the grandfather of R.
But the sex of R is not unknown.
Option (3)
$M-R\times T÷K$
$M-R\Rightarrow$ M is the sister of R.
$R\times T\Rightarrow$ T is the mother of R.
$T÷K\Rightarrow$ K is the father of T.
Thus, K is the grandfather of R.
But the sex of R is not known.