Question : The average height of 30 boys out of a class of 50 is 160 cm. If the average height of the remaining boys is 165 cm, the average height of the whole class (in cm) is:
Option 1: 161
Option 2: 162
Option 3: 163
Option 4: 164
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Correct Answer: 162
Solution : Average height of 30 boys = 160 cm The average height of the remaining 20 boys = 165 cm We have to find out the average height of the whole class which is = $\frac{30\times 160 + 20\times 165}{50}$ = $\frac{4800 + 3300}{50}$ = $\frac{8100}{50}$ = 162 cm. Hence, the correct answer is 162 cm.
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Question : The lengths of two parallel sides of a trapezium are 6 cm and 8 cm. If the height of the trapezium is 4 cm, then its area is:
Option 1: 28 cm
Option 2: 28 sq. cm
Option 3: 30 sq. cm
Option 4: 30 cm
Question : The average mark of 50 students in a class is 72. The average marks of boys and girls in that subject are 70 and 75, respectively. The number of boys in the class is:
Option 1: 20
Option 2: 35
Option 3: 25
Option 4: 30
Question : A circle is circumscribing a triangle whose sides are 30 cm, 40 cm, and 50 cm. Find the circumference of the circle.
Option 1: $75 \pi$ cm
Option 2: $25 \pi$ cm
Option 3: $100 \pi$ cm
Option 4: $50 \pi$ cm
Question : What is the average height of the troposphere?
Option 1: 13 Km
Option 2: 30 Km
Option 3: 6 Km
Option 4: 50 Km
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