A number is multiplied by 2 then by $$\frac{1}{3}$$, then by 4, then by $$\frac{1}{5}$$ then by 6 and finally by $$\frac{1}{7}$$. The answer is 16. Then the number is

Solution

Let the number be $$x$$. Then $$x \times 2 \times \frac{1}{3} \times 4 \times \frac{1}{5} \times 6 \times \frac{1}{7} = 16$$, which simplifies to $$x \times \frac{48}{105} = 16$$, so $$x = 35$$. Since 35 is odd, the number is odd.

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