SSC CGL 5th Dec 2022 Shift-2

$$\cos^{2} 35^{\circ} + \cos 55^{\circ}. sin 35^{\circ} + \frac{\tan 34^{\circ}}{\cot 56^{\circ}}$$ = __________.

The total surface area of a cube is 1536 $$m^{2}$$ .Find its volume.

A certain sum of money becomes triple of itself in 26 years at simple interest. In how many years it will becomes five times of itself?

On dividing a certain number by 363, we get 17 as the remainder. What will be the remainder when the same number is divided by 11?

If a - b = 2 and $$a^{3} - b^{3} = 80$$, then what will be the value of ab?

If $$\frac{1}{x^{2}+a^{2}} = x^{2} - a^{2}$$, then the value of $$x$$ is:

The following table shows the shares traded on Mumbai, Rajasthan. Uttar Pradesh and Uttarkhand stock exchanges:

The average of the high rates of the shares in all the four stock exchanges for Kolgate is:

The speed of a boat in still water is $$5\frac{1}{3}$$ km/h. It is found that the boat takes thrice as much time to row up than it does to row down the same distance in the river su·eam. Find the speed of the river stream.

The largest five-digit number which when divided by 7, 9 and 11, leaves the same remainder as 3 in each case, is:

If the ratio of area of two similar triangles is $$\sqr{3} : \sqr{2}$$ theb what is the ratio of the corresponding sides of the two triangles?