Consider the following relationships among members of a family of six persons A, B, C, D, E, and F: 1. The number of males equals that of females. 2. A and E are sons of F. 3. D is the mother of two, one boy and one girl. 4. B is the son of A. 5. There is only one married couple in the family at present. Which one of the following inferences can be drawn from the above?

QUESTION

CSAT

Easy

Reasoning

Prelims 2017

Consider the following relationships among members of a family of six persons A, B, C, D, E, and F:

The number of males equals that of females.
A and E are sons of F.
D is the mother of two, one boy and one girl.
B is the son of A.
There is only one married couple in the family at present.

Which one of the following inferences can be drawn from the above?

Select an option to attempt

Explanation

As per statement 1: The number of males equals that of females, i.e. there must be 3 males and 3 females in the family.

Now, as per statements 2 and 4: A and E are sons of F and B is the son of A. We can denote it as the following family tree (wherein + denotes male and - female):

As, we can see A, B and E are males. Hence, C, D and F must be females. As per statement 3: D is the mother of two, one boy and one girl.

Now, F cannot be the daughter of D, as otherwise, C must be her son. But we already know that C is a female. Hence, C must be the daughter of D.

As per statement 5, there’s only one married couple in the family at present. The only possibility is that A is married to D. It has been denoted below using a family tree:

We can only infer that A is the husband of D.