The value of 11 ÷ [1 + 1 ÷ {1 + 1 ÷ (1 + 1 ÷ 3)}] is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 7
= 11 ÷ [1 + 1 ÷ {1 + 1 ÷ (1 + 1 ÷ 3)}]
= 11 ÷ [1 + 1 ÷ {1 + 1 ÷ (4/3))]
= 11 ÷ [ 1 + 1 ÷ { 1 +3/4}]
= 11 ÷ [ 1 + 1 ÷ 7/4]
= 11 ÷ [ 1 + 4/7]
= 11 ÷ 11/7
= 7