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Question

If A + B means - 'A is the mother of B'. A ÷ B mean - 'A is the brother of B' and A × B means - 'A is the son of B' and A - B means - 'A is the sister of B' then which of the following means - 'C is the sister of D' ?

A
D - C
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B
D × P - C
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C
C - P ÷ D
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D
P + D ÷ C
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E
D - P ÷ C
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Solution

The correct option is C C - P ÷ D
Diagram for the alternative (a)
D - C means D is the sister of C
It is clear from the diagram that D is the sister of C but it is not necessary that C is the sister of D. C may also be brother of D. Hence, the alternative (A) does not answer the question.
Diagram for the alternative (b)
D×PC
(1) D × P means D is the son of P
(2) P - C means P is the sister of C
If C is supposed to be a male then he will be the maternal uncle of D and if C is supposed to a female then she will the maternal aunt of D. Hence, the alternative (B) does not answer the questions.
Diagram for the alternative (c)
CP÷D
(1) C - P means C is the sister of P
(2) P ÷ D means P is the brother of D
It is clear from the diagram that if P is the brother of D then either D will be a male or a female.If D is a male then C is the sister of D and if D is a female then also C is the sister of D. Hence, the alternative (C) answers the question correctly.
Diagram for the alternative(d)
P+D÷C
(1) P÷D means P is the mother of D.
(2) D÷C means D is the brother of C.
It is clear from the diagram that D is the brother of C. So C may be a male or female. Hence, the alternative (D) does not answer the question.
Diagram for the alternative(e)
DP÷C
(1) D - P means D is the sister of P.
(2) P÷C means P is the brother of C.
From the diagram P is brother of C. So C may be a male or a female. Hence, from this it is not clear that C is the sister of D. Hence, this alternative also fails to answer the question. Therefore, (c) is the correct answer.


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