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BITSAT 2022
Exam
BITSAT
Year
2022
Subject
Mathematics
Chapter
Sets and Relations

BITSAT 2022 · Mathematics · Sets and Relations

If A=\ x: x is a multiple of 4 and, B=\ x: x is a multiple of 6 ,...

If A={x:xA=\{x: x is a multiple of 4and,and,B=\{x: xisamultipleof6is a multiple of 6, then A∩BA \cap B consists of multiples of

Options

  1. A16
  2. B12
  3. C88
  4. D4

Correct answer

B. 12

Step-by-step solution

Let x∈A∩Bx \in A \cap B. Then, x∈Ax \in A and x∈B⇒xx \in B\Rightarrow x is a multiple of 4 and xx is a multiple of 6 ⇒x\Rightarrow x is a multiple of 4 and 6 both ∴x\therefore x is a multiple of 12
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