QA – Placement Quizzes | Algebra | Question 12

Find the value of (1-1/3)(1-1/4)(1-1/5)…(1-1/100).
(A) 1/10
(B) 1/50
(C) 1/20
(D) 1/100


Answer: (B)

Explanation: We have
(1-1/3)(1-1/4)(1-1/5)…(1-1/100)
= (2/3)(3/4)(4/5)…(99/100)
= 2/100 = 1/50.

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