Question : The speed of a car is 54 km/hr. What is its speed in m/sec?

Option 1: 15 m/sec

Option 2: 19.44 m/sec

Option 3: 194.4 m/sec

Option 4: 150 m/sec

Question : An elephant of length 4 m is at one corner of a rectangle cage of size (16m × 30m) and faces towards the diagonally opposite corner. If the elephant starts moving towards the diagonally opposite corner, it takes 15 seconds to reach this corner. Find the speed of the elephant.

Option 1: 1 m/sec

Option 2: 2 m/sec

Option 3: 1.87 m/sec

Option 4: 1.5 m/sec

Question : If $\sec \theta-\tan \theta=m$, then $2 \tan \theta=?$

Option 1: $\frac{1-m}{m} \\$

Option 2: $ \frac{1-m^2}{m} \\$

Option 3: $\frac{1+m^2}{m} \\$

Option 4: $ \frac{m^2-1}{m}$

Question : The ratio of the circumference and diameter of a circle is $22: 7$. If the circumference is $1\frac{4}{7}$ m, then the radius of the circle is:

Option 1: $\frac{1}{3}$ m

Option 2: $\frac{1}{2}$ m

Option 3: $\frac{1}{4}$ m

Option 4: $1$ m

Question : Find the value of $\frac{\cos A}{1+\sin A}+\frac{1+\sin A}{\cos A}+2$.

Option 1: $1+2 \sec A$

Option 2: $2-\sec A$

Option 3: $2+\sec A$

Option 4: $2(1+\sec A)$