SSC CGL 8th Dec 2022 Shift-1

If $$x = 8\left(\sin \theta + \cos \theta\right)$$ and $$y = 9\left(\sin \theta - \cos \theta\right)$$, then the value of $$\frac{x^{2}}{8^{2}} + \frac{y^{2}}{9^{2}}$$ is:

AB is the diameter of a circle with centre 0. If P be a point on the circle such that $$\angle AOP = 110^{\circ}$$. then the measure of $$\angle$$ OBP is:

A is chasing B in the same interval of time. A jumps 8 times, while B jumps 6 times.
But the distance covered by A in 7 jumps is the same as that of B in 5 jumps. The ratio between the speeds of A and B is ________.

In a certain duration of time, a sum become 2 times itself at the rate of 5% per annum simple interest. What will be the rate of interest if the same sum becomes 5 times itself in the same duration?

A mixture contains milk and water in the ratio of 5 : 3, respectively. On adding 7 litres of water, the ratio of milk to water becomes 1 : 2. Find the quantity of milk in the mixture.

Select the INCORRECTLY spelt word in the following sentence.
The outcome of the survey was a critical intervention to the questionaire prepared by Suraj and his committee.

Select the correct active form of the given sentence.
A terrible disaster was witnessed by our country.

Select the option that can be used as a one-word substitute for the given group of words/phrase.

Fail to notice; ignore; condone (an offence etc.)

The following sentence has been divided into parts. One of them may contain an error.
Select the part that contains the error from the given options. If you don’t find any error, mark ‘No error’ as your answer.
He knows that / he has no other option / but to work hard.

Select the most appropriate meaning of the given idiom.

Cudgel one’s brain