SSC CGL 3rd Dec 2022 Shift-2

$$\sin^{4}\theta + \cos^{4}\theta$$ in terms of $$\sin \theta$$ can be written as:

Vikas covered a certain distance by bike. If he covers 40% of the distance at 40 km/h, 50% of the distance at 25 km/h and the remaining 10% distance at 10 km/h. Find his average speed over the whole distance.

Number p is 15% more than 150. If k is 15% less than p, then k is equal to:

Suman paid ₹9,600 in interest on a loan she obtained 5 years ago with a simple interest rate of 16%. What was the amount of the loan she had taken?

What will be the remainder when $$7^{42}$$ is divided by 48?

The following pie chart is represents the units of electricity sold to various categories in a month by an Electricity Supplier.

The central angle of the sector corresponding to supply for Industries is:

If $$x + \frac{1}{x}=-2$$, then the value of $$x^{17} + x^{-17} + x^{12} + x^{-12}$$? ($$x < 0$$)

A thief steals a bike at 12:30p.m. and drives it at 48km/h. But the theft is discovered after half an hour. The bike owner starts to chase him on another bike at 58km/h. The thief will be caught at ________.

$$triangle XYZ \sim \triangle GST$$ and XY : GS= 2:3, XV is the median to the side YZ, and GD is the median to the side ST. The value of $$(\frac{YV}{SD})^{2}$$ is _________.

What is the HCF of 36 and 198?