A student was asked to divide the half of a certain number by 6 and the other half by 4 and then to add the two quantities so obtained. Instead of doing so the student divided the number by 5 and the result fell short by 4. The given number was ?
A. 240
B. 288
C. 384
D. 480
Answer: Option D
Solution(By Examveda Team)
Let the number be xThen,
$$\eqalign{ & \Leftrightarrow \left[ {\frac{{\left( {\frac{x}{2}} \right)}}{6} + \frac{{\left( {\frac{x}{2}} \right)}}{4}} \right] - \frac{x}{5} = 4 \cr & \Leftrightarrow \frac{x}{{12}} + \frac{x}{8} - \frac{x}{5} = 4 \cr & \Leftrightarrow \frac{{10x + 15x - 24x}}{{120}} = 4 \cr & \Leftrightarrow x = 4 \times 120 \cr & \Leftrightarrow x = 480 \cr} $$
Related Questions on Problems on Numbers
If one-third of one-fourth of a number is 15, then three-tenth of that number is:
A. 35
B. 36
C. 45
D. 54
E. None of these
A. 9
B. 11
C. 13
D. 15
E. None of these
A. 3
B. 4
C. 9
D. Cannot be determined
E. None of these
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