If (1+1/2)(1+1/4)(1+1/6)(1+1/8)(1-1/3)(1-1/5)(1-1/7) = 1+1/x, then what is the value of x ?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2, i.e. 8
(1+1/2)(1+1/4)(1+1/6)(1+1/8)(1-1/3)(1-1/5)(1-1/7) = 1+1/x
3/2 × 5/4 × 7/6 × 9/8 × 2/3 × 4/5 × 6/7 = 1 + 1/x
1/x = 9/8 -1
1/x = 1/8
x = 8