Instructions

Read the set of informations given below carefully and then answer the subsequent questions :

I. There is a group of seven persons in a family, A, B, C, D, E, F and G. They all apeared in an I.Q. to test their intelligence.

II. There are two married Couples in the family and three females in total.

III. G, a female, is the most intelligent.

IV. B, the father of E, is more intelligent than his son.

V. C has one son and one daugter. She is more intelligent then her husband.

VI. The father of B is more intelligent than B himself.

VII. E, the grandson of F, is the least intelligent. F, the grandfather, is the second most intelligent in the family.

VIII. The mother of B is less intelligent than B.

IX. None among the married topped the I.Q. test.

X. The grandfather of G has two sons, one of whom is D, who is more intelligent than his brother but less intelligent than his wife.

XI. Nobody is a widow or a widower in the family.

Solution

Lets use the following symbols for male and female: Male - ' and Female - ".

For the order of intelligence, lets rank them from 1 to 7, where 1 denotes most intelligent and 7 denotes the least intelligent.

From hint (3), we get G is a female and the most intelligent. Therefore, G"(1).

Using hint (4) and (7), we get that B is the father of E, and F is the grandfather of E, and E is male. Also, e get E as the least intelligent and F as the second most intelligent. So, we can map them as

Using hint (10), we get that D is another son of F. Adding it to our mapping, wet get,

Using hint (2) which says there are 2 married couple, and hint (11) that says there are no widow or widower, we get to know the married couples are F and his wife and B and his wife.

Using hint (5), we get that C has one son and one daughter, so C can not be F's wife, because he has 2 sons, so, C is the wife of B. Also, B and C have a daughter. Mapping into the existing solution, we get:

Now, we have 2 people remaining, both are females. One of them is the daughter of B and C, and the other one is the wife of F. Using hint (9) that none of he married topped the IQ test, and using hint (3) that G is the topper of the IQ Test, we get G as the daughter of B and C, and the remaining person A is the wife of F. Mapping into the figure, we get,

From hint (10), D is more intelligent than B, but less intelligent than C. Also, using (8), B is more intelligent than A. Using hint (5), C is more intelligent than B.

We know that G is ranked 1, F is ranked 2, E is ranked 7. Using the remaining ranks and applying them to the deduction from the previous line, we get, C as 3, D as 4, B as 5 and A as 6. Hence the figure comes out as:

So, this is our final figure, depicting all relationships and the intelligence test ranks.

From the figure, G is the daughter of D's brother, hence niece.

Option (D).

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