SSC CGL 8th Dec 2022 Shift-4

Evaluate the expression $$\frac{\sin^{2}63^{\circ} + \sin^{2}27^{\circ}}{\cos^{2}17^{\circ} + \cos^{2}73^{\circ}}$$

If a : b = 4 : 5 and b : c = 3 : 10, then a : c is:

While finding the average marks of a class, Vikas’s marks were wrongly entered as 98 in place of 89. Due to this error, the average marks of the class were 0.25 more than the actual average. What is the number of students in the class?

A certain sum of money is given at a certain rate for 3 years. Had it been given at 5% higher rate, it would have fetched ₹600 more. Find the sum.

The given bar graph shows the profit (in ₹ lakhs) made by a company from 2001-2002 to 2008-2009.

The ratio of the number of years in which the company's profit is above the average profit, to those in which the profit is below the average is

A thief stole jewellery from a shop at 8:15 p.m. and left on a bike at a speed of 60 km/h.
The police were informed at 8:30 p.m. If the police want to arrest the thief at 9:00 p.m.,
what should be the minimum speed of the police jeep?

The table given below shows the number of officers working in six companies.

What is the ratio of number of officers working in Q to the number of officers working in R?

If $$K+\frac{1}{K}=3$$, then what is the value of $$K^{2}\frac{1}{K^{2}}$$

What is the value of $$a^{2} + b^{2} + c^{2}$$, if a + b + c = 9 and ab + be + ca= 23?

If $$\alpha$$ is an acute angle, $$\tan \left(4\alpha − 50^{\circ}\right) = \cot \left(50^{\circ} − \alpha\right)$$, then find the value of α (in degrees)