Eight friends A, B, C, D, E, F, G and H are sitting around a circular table, but not necessarily in the same order. All friends are facing the centre. Each person has different salaries i.e.1400, 1600, 1500, 76641, 25547, 86543, 87000, and 91000 but not necessarily in the same order. F sits at `135^@` clockwise direction to B. Salary of the one, who sits 2nd to right of B is an odd number which is divisible by 3. There is an angle of 135 between A and G. B's salary is average of H's and D's salary. There is an angle of `90^@` between A and H.D is not an immediate neighbor of the one whose salary is 76641. G's salary is 1/3rd of A's salary. There is an angle of `180^@` between B and the one whose salary is perfect square. H is not an immediate neighbor of the one, whose salary is 25547. C's salary is 2nd largest salary among all the salaries. There is an angle of `180^@` between F and E, whose salary is an odd number. B sits at `90^@` clockwise direction of A.
Who sits exactly between H and D?

Options

A. A
B. G
C. None of these
D. F

Answer

D

Explanation

From the given condition, there is an angle of `90^@` between A and H. Hence H can sit either 2nd right or 2nd left of A. But the condition is given that B sits at `90^@` clockwise direction of A. So H cannot sit 2nd left of A.
From the given conditions - Salary of the one, who sits 2nd to right of B is an odd number, which is divisible by 3. There is only one salary (76641) which is divisible by 3 and also an odd number, so A.s salary is 76641. G.s salary is 1/3rd of A.s salary means G.s salary is 25547. There is an angle of `180^@` between Band the one whose salary is perfect square (1600). There is an angle of `135^@` between A and G, hence G can sit either 3rd left or 3rd right of A, so we have 2 possible case which are shown below. B.s salary is average of H and D.s salary, so B.s salary is 1500 and D.s salary is 1400.

The condition is given that, H is not an immediate neighbor of the one, whose salary is 25547, hence case II will be cancelled out. Only case I will be continued with the rest conditions. From the remaining conditions. F sits at `135^@` clockwise direction to B. D is not an immediate neighbor of the one whose salary is 76641. There is an angle of `180^@` between F and E, whose salary is an odd number. C.s salary is 2nd largest salary among all the salaries. We will get the final answer.