Question : The average of five consecutive odd numbers is 15. What is the smallest of these five numbers?
Option 1: 11
Option 2: 13
Option 3: 15
Option 4: 9
Answer (1)
18th Jan, 2024
Correct Answer: 11
Solution :
Let the first odd number be $x$, which is the smallest number.
The rest of the consecutive odd numbers are $x+2$, $x+4$, $x+6$, $x+8$.
Average = $\frac{x+x+2 + x+4 + x + 6 + x+8}{5}$
$⇒15 = \frac{5x+20}{5}$
$⇒75=5x+20$
$\therefore x = 11$
Hence, the correct answer is 11.
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