Question

If p = q + 2, where q is the product of six consecutive positive integers, then which of the following is/are true?  

a. p is a perfect cube

b. p is a multiple of 6

c. p is odd  

A a and b both Correct Answer Incorrect Answer
B All are true Correct Answer Incorrect Answer
C c is true Correct Answer Incorrect Answer
D None is true Correct Answer Incorrect Answer

Solution

Let q = [x (x + 1) (x + 2) (x + 3) (x + 4) (x + 5)] If x= 2 Then q= 1 x 2 x 3 x 4 x 5 x 6 = 720 Then p = 722 Here p is an even number. 

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