If A - B means that A is the brother of B, A + B means that A is the sister of B, A × B means that A is the father of B then which of the following expression shows that P is the brother of R?

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 1)
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  1. P - Q + R
  2. P + Q - R
  3. P × Q + R
  4. P - Q × R

Answer (Detailed Solution Below)

Option 1 : P - Q + R
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Detailed Solution

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From the given information:
A - B A is the brother of B
A + B A is the sister of B
A × B A is the father of B


Now we solve the equations in the options:

Option 1) P - Q + R 

⇒ P is the brother of Q, Q is the sister of R.

                   F1 SSC Amit A 22-02-2023 D14

Here P,Q and R are siblings therefore P is the brother of R.

Option 2) P + Q - R 

⇒ P is the sister of Q, Q is the brother of R.

                    F1 SSC Amit A 22-02-2023 D15

Here P,Q and R are siblings but P is the sister of R.

Option 3) P × Q + R 

⇒ P is the father of Q, Q is the sister of R.

                                    F1 SSC Amit A 22-02-2023 D16

Here Q and R are siblings but P is the father. So P is the father of R.

Option 4) P - Q × R 

⇒ P is the brother of Q, Q is the father of R.

                                 F1 SSC Amit A 22-02-2023 D17

Here Q and P are siblings but Q is the father. So P is uncle of R.

Hence the correct answer is option 1.

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