Question

If one third of one-fourth of a number is 15, then three-tenth of that number will be :

• A. 46
• B. 61
• C. 54
• D. 63
• E. 38

Hint:

``One third of one fourth'' $= \frac{1}{3} \times \frac{1}{4} = \frac{1}{12}$. So if $\frac{n}{12}=15$, then $n=180$. Then find $\frac{3}{10} \times 180 = 54$.

Answer 1

The Correct Option is C

Step 1: Concept Analysis:
Find the number first using the given condition, then calculate three-tenth of it.

Step 2: Solution Approach:
Let number $= n$. $\frac{1}{3} \times \frac{1}{4} \times n = 15 \Rightarrow \frac{n}{12} = 15 \Rightarrow n = 180$. Three-tenth of $n = \frac{3}{10} \times 180 = 54$.

Step 3: Conclusion:
Three-tenth of the number is 54.