Sarthaks Test
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State which of the following statements are true and which are false. Justify your answer.

(i) 37 ∉ {x | x has exactly two positive factors}

(ii) 28 ∈ {y | the sum of the all positive factors of y is 2y}

(iii) 7,747 ∈ {t | t is a multiple of 37}

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(i) False

Since, 37 has exactly two positive factors, 1 and 37, 37 belongs to the set.

(ii) True

Since, the sum of positive factors of 28

= 1 + 2 + 4 + 7 + 14 + 28

= 56 = 2(28)

(iii) False

7,747 is not a multiple of 37.

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