Statement-1: the number of even divisors of the number N=12600 is 54. Statement-2: 0,2,4,6,8, . . . Are even integers.

Question

Statement-1: the number of even divisors of the number N=12600 is 54. Statement-2: 0,2,4,6,8, . . . Are even integers.

Statement-1: the number of even divisors of the number N=12600 is 54.
Statement-2: 0,2,4,6,8, . . . Are even integers.
A. Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1
B. Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1
C. Statement-1 is true, statement-2 is false
D. Statement-1 is false, statement-2 is true

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
`becauseN=12600=2^(3)*3^(2)*5^(2)*7^(1)`
`therefore`Numbe of even divisors`=3*(2+1)*(2+1)*(1+1)=54`
both statement are true but statement-2 is not a correct exaplanation for statement-1.

5 views Answered 2023-02-05 15:29