Question : A square playground measures 1127.6164 sq. cm. If a man walks $2\frac{9}{20}$ m a minute, the time it takes him to walk one round around it is approximately:
Option 1: 50.82 minutes
Option 2: 54.82 minutes
Option 3: 54.62 minutes
Option 4: 50.62 minutes
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Correct Answer: 54.82 minutes
Solution : Given: A square playground measures 1127.6164 sq. cm and a man walks $2\frac{9}{20}$ metres a minute. Let the sides of the playground be a metre. According to the question, $a^2=1127.6164$ ⇒ $a=\sqrt{1127.6164}$ ⇒ $a=33.58$ m So the perimeter of the playground = (4 × 33.58) m = 134.32 m Here, the speed of the man = $2\frac{9}{20}=\frac{49}{20}$ m/min Therefore, the time required to cover 134.32 m $=\frac{134.32}{\frac{49}{20}}=134.32×\frac{20}{49}=54.82$ minutes Hence, the correct answer is 54.82 minutes.
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Question : A man walks at a speed of 8 km/h. After every kilometre, he takes a rest for 4 minutes. How much time will he take to cover a distance of 6 km?
Option 1: 70 minutes
Option 2: 60 minutes
Option 3: 69 minutes
Option 4: 65 minutes
Question : If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he walks at 8 km/hr, how early from the fixed time will he reach?
Option 1: 15 minutes
Option 2: 25 minutes
Option 3: 50 minutes
Option 4: $1\frac{1}{2}$ hours
Question : The circumference of a triangle is 24 cm and the circumference of its in-circle is 44 cm. Then the area of the triangle is (taking $\pi =\frac{22}{7}$):
Option 1: 56 sq. cm
Option 2: 84 sq. cm
Option 3: 48 sq. cm
Option 4: 68 sq. cm
Question : The total surface area of a hemisphere is 41.58 sq. cm. Find its curved surface area.
Option 1: 27.72 sq. cm.
Option 2: 55.44 sq. cm.
Option 3: 9.24 sq. cm.
Option 4: 13.86 sq. cm.
Question : The minute hand of a clock is 20 cm long. Find the area on the face of the clock swept by the minute hand between 8 a.m. and 8:45 a.m.
Option 1: $\frac{6600}{7}$ cm2
Option 2: $\frac{6600}{9}$ cm2
Option 3: $\frac{6600}{18}$ cm2
Option 4: $\frac{6600}{14}$ cm2
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