Multiple Choice Questions

The average of 5 consecutive odd numbers is 33 What is the product of the smallest and the largest o...........

Quantitative Aptitude (MTS) Average

The average of 5 consecutive odd numbers is 33. What is the product of the smallest and the largest of these five numbers?

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SSC MTS 7th July 2022 Shift-3

1147

1237

957

1073

- Let the five consecutive odd numbers be $x, x + 2, x + 4, x + 6, x + 8$ .

- Their average is given by $(x + (x + 2) + (x + 4) + (x + 6) + (x + 8)) / 5 = 33$ .

- Simplifying this, we have $(5 x + 20) / 5 = 33$ .

- By solving, $5 x + 20 = 165$ gives $x = 29$ .

- The numbers are 29, 31, 33, 35, and 37.

- The product of the smallest (29) and largest (37) numbers is $29 \times 37 = 1073$ .

- Options given are:

- Option 1: 1147

- Option 2: 1237

- Option 3: 957

- Option 4: 1073

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