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Which of the following statement/statements are correct for the divisibility of expression (pq + 1/(pq)-1) where both p and q are odd numbers?I. Divisible by both p and qII. Divisible by even numbers greater than two1. Only statement I2. Only statement II3. Both the statements4. None of these |
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Answer» Correct Answer - Option 1 : Only statement I Given: The given expression is (pq + 1/(pq)-1) Calculation: The given expression can be written as (pq + 1/(pq)-1) = (pq + pq) = 2pq Now, we know that product of two odd numbers is always a odd number and sum and difference of any two odd number is always even So, the given expression is divisible by p, q and 2 Hence, option (1) is correct |
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