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Let X is divisible by 2 and Y is divisible by 6 then which of the following statement is correct regarding (X + Y)?Statement 1: It is divisible by 2Statement 2: It is divisible by 3Statement 3: It is divisible by 41. Only 12. Both 2 and 33. Both 1 and 34. All are correct |
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Answer» Correct Answer - Option 1 : Only 1 Given: X is divisible by 2 and Y is divisible by 6 Formula Used: Basic concept of number system Calculation: It is given that X is divisible by 2 ∴ X is multiple of 2 ⇒ x = 2a And Y is divisible by 6 ∴ Y is multiple of 6 ⇒ Y = 6b Now, (X + Y) = 2a + 6b = 2 × (a + 3b) So, (X + Y) is multiple of 2 ∴ It is divisible by 2 Hence, option (1) is correct |
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