There are 6 consecutive odd numbers If the product of the 1st and the 2nd number is 483 then find th...........

Quantitative Aptitude(IBPS CL) Number System

There are 6 consecutive odd numbers. If the product of the 1st and the 2nd number is 483, then find the average of all the numbers.

This questions was previously asked in

IBPS Clerk Main (8th Oct 2022)

- We have six consecutive odd numbers: n, n+2, n+4, n+6, n+8, n+10.

- The product of the 1st and 2nd numbers is 483: n(n+2) = 483.

- Solving n(n+2) = 483 gives n^2 + 2n - 483 = 0.

- Solve this quadratic equation: factoring or using the quadratic formula reveals n = 21.

- Numbers are: 21, 23, 25, 27, 29, 31.

- The average is the sum of the numbers divided by the count.

- Sum = 21 + 23 + 25 + 27 + 29 + 31 = 156.

- Average = 156/6 = 26.

Option 3: 26 is the correct answer.

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