Which of the following statement is correct?Statement 1: (12) n never

1.	Which of the following statement is correct?Statement 1: (12) n never ends with zeroStatement 2: (6) n is divisible by 51. Only 12. Only 23. Both 1 and 24. Neither 1 nor 2
Answer» Correct Answer - Option 1 : Only 1 Given: Two conditions are given Concept Used: Any number ends with zero should in the form of 2^m × 5ⁿ where both m and n are positive integer Calculation: Consider the first statement, (12)ⁿ never ends with zero ∴ (12)ⁿ = (3 × 4)ⁿ = (3)ⁿ × (4)ⁿ so, (12)ⁿ never ends with zero Now, Consider the second statement, (6)ⁿ is divisible by 5 ∴ (6)ⁿ = (3 × 2)ⁿ = (3)ⁿ × (2)ⁿ ∵ (6)ⁿ never ends with zero ∴ (6)ⁿ is not divisible by 5 Hence, option (1) is correct

Which of the following statement is correct?Statement 1: (12) n never ends with zeroStatement 2: (6) n is divisible by 51. Only 12. Only 23. Both 1 and 24. Neither 1 nor 2

Answer» Correct Answer - Option 1 : Only 1

Given:

Two conditions are given

Concept Used:

Any number ends with zero should in the form of 2^m × 5ⁿ where both m and n are positive integer

Calculation:

Consider the first statement, (12)ⁿ never ends with zero

∴ (12)ⁿ = (3 × 4)ⁿ = (3)ⁿ × (4)ⁿ so, (12)ⁿ never ends with zero

Now, Consider the second statement, (6)ⁿ is divisible by 5

∴ (6)ⁿ = (3 × 2)ⁿ = (3)ⁿ × (2)ⁿ

∵ (6)ⁿ never ends with zero

∴ (6)ⁿ is not divisible by 5

Hence, option (1) is correct

Discussion

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