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Find the remainder, when 171 × 172 × 173 is divided by 17.
Question

Find the remainder, when 171 × 172 × 173 is divided by 17.

A.

9

B.

8

C.

6

D.

7

Correct option is C

Given:

Find the remainder when 171 × 172 × 173  is divided by 17.

Solution:

171 ÷ 17 = 10 remainder 1

172 ÷ 17=10 remainder 2

173 ÷ 17 = 10 remainder 3

Multiplying the remainders

= 1 × 2 × 3 

= 6 

The remainder when 171×172×173  is divided by 17 is 6

Thus, correct answer is (c) 6

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