Choose the correct answer to the following questions.
(i) The letters A, B, C, D, E, F and G not necessarily in that order, stand for seven consecutive integers from 1 to 10.
(ii) Dis 3 less than A.
(iii) B is the middle term.
(iv) F is as much less than B as C is greater than D.
(v) G is greater than F.
The greatest possible value of C is how much greater than the smallest possible value of D?

Options

A. 3
B. 2
C. 4
D. 5

Answer

D

Explanation

According to the given information:
From (ii), we get
`D=A-3" or "A= D + 3`.
From (iv), we get
`B-F = C - D`. ...(i)
From (v), we get
`G gt F`... (iii)
From (iii), we get
`B rArr` Middle term ...(iv)
So, arrangement of the letters in an increasing order :
G A C B D F E
So, arrangement of the letters in decreasing order.
`(E)/(1st)harr(F)/(2nd)harr(D)/(3rd)harr(B)/(4th)harr(C)/(5th)harr(A)/(6th)harr(G)/(7th)`
The greatest possible value of C = 8. The smallest possible value of D= 3 Therefore, `C-D=8-3=5`