A ও B যথাক্রমে 42 ও 70 এর সকল গুণণীয়কের সেট হলে A∩B=?

A {1, 2, 14}

B {1, 2, 7, 14}

C {1, 14}

D { }

Correct Answer: Option B

এখানে 42 = 1 × 42 = 2 × 21 = 3 × 14 = 6 × 7

42 এর গুণনীয়ক সমূহ 1, 2, 3, 6, 7, 14, 21, 42

∴ A = {1, 2, 3, 6, 7, 14, 21, 42}

আবার, 70 = 1 × 70 = 2 × 35 = 5 × 14 = 7 ×10

70 এর গুণনীয়ক সমূহ 1, 2, 5, 7, 10, 14, 35, 70

∴ B = {1, 2, 5, 7, 10, 14, 35, 70}

∴ A ∩ B ={1, 2, 3, 6, 7, 14, 21, 42} ∩ {1, 2, 5, 7, 10, 14, 35, 70}

= {1, 2, 7, 14}