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Byju's Answer

Standard XII

Mathematics

Empty Relations

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Question

Read the information carefully and answer the following questions.
(i) $^{'} A + B^{'}$ means 'A is the father of B'.
(ii) $^{'} A \times B^{'}$ means 'A is the sister of B'.
(iii) $^{'} A $ B^{'}$ means 'A is the wife of B'.
(iv) $^{'} A % B^{'}$ means 'A is the mother of B'.
(v) $^{'} A B^{'}$ means 'A is the son of B'.
Which of the following expressions is true, if 'Y is the son of X' is definitely false?

W % L \times T \times Y + X

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W + L \times T \times Y + X

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X + L \times T \times Y + W

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W $ X + L + Y + T

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W % X + T \times Y + L

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Solution

The correct option is D $W $ X + L + Y + T$
Options (a) and (b) can be easily rejected as 'Y +X' means Y is the son of X.
From option (c)

So, again Y is the son of X.
From option (d)

Here, X is the father of L and L is the father of Y. So, Y is the grandson of X.

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Similar questions

Q. Read the information carefully and answer the following questions.
(i)

^{'} A + B^{'}

means 'A is the father of B'.
(ii)

^{'} A \times B^{'}

means 'A is the sister of B'.
(iii)

^{'} A $ B^{'}

means 'A is the wife of B'.
(iv)

^{'} A

means 'A is the mother of B'.
(v)

^{'} A B^{'}

means 'A is the son of B'.
Which of the following options is true, if the expression

^{'} I + T % J \times L + K^{'}

is definitely true?

Q. Read the information carefully and answer the following questions.
(i)

^{'} A + B^{'}

means 'A is the father of B'.
(ii)

^{'} A \times B^{'}

means 'A is the sister of B'.
(iii)

^{'} A $ B^{'}

means 'A is the wife of B'.
(iv)

^{'} A % B^{'}

means 'A is the mother of B'.
(v)

^{'} A B^{'}

means 'A is the son of B'.
Which of the given expression indicates that M is the daughter of D?

Q. Read the information carefully and answer the following questions.
(i)

^{'} A + B^{'}

means 'A is the father of B'.
(ii)

^{'} A \times B^{'}

means 'A is the sister of B'.
(iii)

^{'} A $ B^{'}

means 'A is the wife of B'.
(iv)

^{'} A % B^{'}

means 'A is the mother of B'.
(v)

^{'} A B^{'}

means 'A is the son of B'.
What should come in place of the question mark to establish that T is the sister-in-law of Q in the expression

^{'} R % T \times P ? Q + V^{'}

Q. Read the following information carefully and answer the questions which follow.
(i) If

^{'} A \times B^{'}

means 'A is the son of B'.
(ii) If

^{'} A + B^{'}

means 'A is the daughter of B'.
(iii) If

^{'} A \div B^{'}

means 'A is the wife of B'.
(iv) If

^{'} A - B^{'}

means 'A is the father of B'.
Which of the following relations are true based on the relations given in the equation:

S \div T \times V - W + Y^{'}

Q. Study the following information carefully to answer these questions.

A $ B

means A is the wife of B.

A # B

means A is the son of B.

A % B

means A is the father of B.

A * B

means A is the sister of B.
In

^{'} H * T # F % L^{'}

, how is H related to L?

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The correct option is D W$X+L+Y+TOptions (a) and (b) can be easily rejected as 'Y +X' means Y is the son of X. From option (c) So, again Y is the son of X. From option (d) Here, X is the father of L and L is the father of Y. So, Y is the grandson of X.

The correct option is D $W $ X + L + Y + T$
Options (a) and (b) can be easily rejected as 'Y +X' means Y is the son of X.
From option (c)

So, again Y is the son of X.
From option (d)

Here, X is the father of L and L is the father of Y. So, Y is the grandson of X.