Consider the following statements: I : The number of non trivial even divisors of the number 2^{\alpha_1} 3^{\alpha_2} 4^{\alpha_3} 5^{\alpha_4} 6^{\alpha_5} is (\alpha_1 + 1) (\alpha_2 + 1) (\alpha_3 + 1) (\alpha_4 + 1) (\alpha_5 + 1) - 2 II : The number of nontrivial odd divisors of the number 2^{\alpha_1} 3^{\alpha_2} 4^{\alpha_3} 5^{\alpha_4} 6^{\alpha_5} is \alpha_2+\alpha_4+\alpha_5+\alpha_2\alpha_4+\alpha_4\alpha_5 Then

Correct Answer is : I is false, II is true

AP EAMCET Engineering 22 Apr 2019 Shift 1 Paper

Section: Mathematics

Question : 16 of 160

Marks: +1, -0

Consider the following statements:
I : The number of non trivial even divisors of the number 2α13α24α35α46α5 is (α1 + 1) (α2 + 1) (α3 + 1) (α4 + 1) (α5 + 1) - 2
II : The number of nontrivial odd divisors of the number 2α13α24α35α46α5 is α2+α4+α5+α2α4+α4α5
Then

I is false and II is false
I is true, II is true
I is false, II is true
I is true, II is false

Validate

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