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Given the following input (4322, 1334, 1471, 9679, 1989, 6171, 6173, 4199) and the hash function x mod 10, which of the following statements are true? i. 9679, 1989, 4199 hash to the same value ii. 1471, 6171 hash to the same value iii. All elements hash to the same value iv. Each element hashes to a different value
  • a)
    i only
  • b)
    ii only
  • c)
    i and ii only
  • d)
    iii or iv
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Given the following input (4322, 1334, 1471, 9679, 1989, 6171, 6173, 4...
Hash function given is mod(10).
9679, 1989 and 4199 all these give same hash value i.e 9
1471 and 6171 give hash value 1 
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Most Upvoted Answer
Given the following input (4322, 1334, 1471, 9679, 1989, 6171, 6173, 4...
Explanation:
The hash function in this case is x mod 10, which means that the value of each element is divided by 10 and the remainder is taken as the hash value. Let's analyze each statement to determine if it is true or false.

i. 9679, 1989, 4199 hash to the same value:
To check this, we need to calculate the hash value of each of these numbers using the given hash function.

- 9679 mod 10 = 9
- 1989 mod 10 = 9
- 4199 mod 10 = 9

Since all three numbers have the same hash value of 9, statement i is true.

ii. 1471, 6171 hash to the same value:
Similarly, let's calculate the hash value of these numbers.

- 1471 mod 10 = 1
- 6171 mod 10 = 1

Both numbers have the same hash value of 1, so statement ii is also true.

iii. All elements hash to the same value:
To verify this statement, we need to calculate the hash value of each number and check if they are all equal.

Hash values of the given numbers:
- 4322 mod 10 = 2
- 1334 mod 10 = 4
- 1471 mod 10 = 1
- 9679 mod 10 = 9
- 1989 mod 10 = 9
- 6171 mod 10 = 1
- 6173 mod 10 = 3
- 4199 mod 10 = 9

Since not all numbers have the same hash value, statement iii is false.

iv. Each element hashes to a different value:
By analyzing the hash values calculated above, we can see that each number has a unique hash value. Therefore, statement iv is true.

Conclusion:
Based on the analysis, statement i and ii are true, while statement iii and iv are false. Therefore, the correct answer is option 'C' (i and ii only).
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Community Answer
Given the following input (4322, 1334, 1471, 9679, 1989, 6171, 6173, 4...
Hash function given is mod(10).
9679, 1989 and 4199 all these give same hash value i.e 9
1471 and 6171 give hash value 1 
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Given the following input (4322, 1334, 1471, 9679, 1989, 6171, 6173, 4199) and the hash function x mod 10, which of the following statements are true? i. 9679, 1989, 4199 hash to the same value ii. 1471, 6171 hash to the same value iii. All elements hash to the same value iv. Each element hashes to a different valuea)i onlyb)ii onlyc)i and ii onlyd)iii or ivCorrect answer is option 'C'. Can you explain this answer?
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