For the following questions answer them individually
A man spends 65% of his income. His income increases by 20% and his expenditure also increases by 10%. The percentage of increase in his savings is ________.
If the arc of a circle of radius 30 cm has a length of 19 cm, then the angle (in degrees, rounded off to two decimal places) subtended at the centre of the circle is:
Take $$\pi = \frac{22}{7}$$
Due to fall in manpower, the production in a company decreases by 35%. By what percentage should the working hours be increased to restore the original production?
If a, band c are positive integers such that $$a^2 + b^2 = 82$$ and $$b^2 + c^2 = 65$$, then the value of $$2a + 7b - 3c$$ is:
Two trains with a speed of 80 km/h and 120 km/h, respectively, are 500 km apart and face each other. Find the distance between them 10 minutes before crossing.
Evaluate $$\frac{\sin 54^\circ}{\cos 36^\circ} + \frac{\sec 46^\circ}{\cosec 44^\circ}$$
In a race of 1200 m, Ram can beat Shyam by 200 m or by 20 sec. What must be the speed of Ram?
If the sum of the diagonals of a rhombus is L and the perimeter is 4P, find the area of the rhombus?
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