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)

1/17

(C)

1/20

(D)

1/50

Answer: (D)

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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