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Using division method, in a given hash table of size 157, the key of value 172 be placed at position ____

(a) 19

(b) 72

(c) 15

(d) 17

I would like to ask this question from Hash Tables topic in section Hash Tables of Data Structures & Algorithms I

This question was addressed to me during an interview for a job.

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The correct option is (c) 15

Easy explanation - The key 172 can be placed at position 15 by using the formula

  H(k) = k mod m

  H(k) = 172 mod 157

  H(k) = 15.

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