Instructions: The following pie chart shows the hourly distribution in a day (in degrees) of all the major activities of a student. A day has 24 hours. The pie chart shows: Games 30°, Home work 45°, School 105°, Sleeping 120°, Others 60° (total 360°).

If he spends 1/3 of the time of home work in Mathematics, then the number of hours he spends on the rest of the subjects in home work is:

Question

The monthly salary for a person who follows the same expense pattern, but has a petrol expense of Rs 500 p.m., is:

Answer 1

Since Mathematics takes exactly one third of the home work time, the remaining subjects must automatically take the other two thirds.

Total home work time: $45° \times \frac{24}{360} = 3$ hours.
If Mathematics is $\frac{1}{3}$ of this, the rest of the subjects together take the remaining $\frac{2}{3}$.
$\frac{2}{3} \times 3 = 2$ hours.

So the correct answer is option B, 2 hours.

Answer 2

Since Mathematics takes exactly one third of the home work time, the remaining subjects must automatically take the other two thirds.

Total home work time: $45° \times \frac{24}{360} = 3$ hours.
If Mathematics is $\frac{1}{3}$ of this, the rest of the subjects together take the remaining $\frac{2}{3}$.
$\frac{2}{3} \times 3 = 2$ hours.

So the correct answer is option B, 2 hours.

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