If A × B means that A is the mother of B, A – B means that A is the father of B, A ÷ B means that A is the sister of B, then which of the following expression shows that P is the paternal grandmother of R?

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 2)
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  1. P ÷ R – Q
  2. P × Q ÷ R
  3. Q × P – R
  4. P × Q – R

Answer (Detailed Solution Below)

Option 4 : P × Q – R
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Detailed Solution

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Given:

A × B means that A is the mother of B.

A – B means that A is the father of B.

A ÷ B means that A is the sister of B.

Symbol  ×    ÷
Meaning  Mother  Father  Sister

Evaluating the given expressions in the options, we get

1) P ÷ R – Q

P ÷ R → P is the sister of R, R – Q → R is the father of Q

F2 Savita SSC 16-5-23 D1

So, P ÷ R – Q shows that P is the paternal aunt of Q.

2) P × Q ÷ R

P × Q → P is the mother of Q, Q ÷ R → Q is the sister of R

F2 Savita SSC 16-5-23 D2

So, P × Q ÷ R shows that P is the mother of R.

3) Q × P – R

Q × P → Q is the mother of P, P – R → P is the father of R.

F2 Savita SSC 16-5-23 D3

So, Q × P – R shows that Q is the paternal grandmother of R.

4) P × Q – R

P × Q → P is the mother of Q, Q – R → Q is the father of R

So, P × Q – R shows that P is the paternal grandmother of R.

 F2 Savita SSC 16-5-23 D4

Hence, the correct answer is "Option 4".

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