For the following questions answer them individually
The number $$142^{2}-1$$ is divisible by
$$\sqrt{4032}\ \times\ \sqrt{7}=$$
Two vessels contain mixture of petrol and kerosene in the ratio 4 : 3 and 3 : 5 respectively. The ratio of the volumes of the quantities from the two vessels to be mixed together so that the new mixture may contain same volume of petrol and kerosene is
If a : b = 4 : 5, b : c = 5 : 6 and c : d = 6 : 7, then a : c is
If 2 $$cos\ \theta-sin\ \theta=\frac{1}{\sqrt{2}}, (0^\circ\leq\theta\leq90^\circ)$$ the value of 2 sin $$\theta$$ + cos $$\theta$$ is
By selling some goods at ₹31, a salesman loses 7% on his output. Find the percentage profit or loss. When he sells the same at ₹35.
If $$11\sqrt{n}=\sqrt{112}\ +\ \sqrt{343}$$, then the value of n is
If $$\frac{1}{a+b}=\frac{1}{a}+\frac{1}{b}$$, then the value of $$a^{3}-b^{3}$$ is
Each wheel of a car is making 5 revolutions per second. If the diameter of a wheel is 84 cm, then the speed of the car in cm/sec. would be
The average monthly salary of 15 workers in a factory is ₹285. If the salary of the manager is included, the average becomes ₹355. What is the manager’s salary ?
