SSC CGL 18th August 2021 Shift-3

If $$a^3 - b^3 = 2349$$ and $$(a - b) = 9$$, then $$(a + b)^2 - ab$$ is equal to:

If a number P is divisible by 2 and another number Q is divisible by 3, then which of the following is true?

Study the table and answer the question.
The table shows the daily income of 50 persons.

How many persons earn ₹250 or more but less than ₹350 daily?

$$(\sec \theta + \tan \theta)^2 + \frac{1 + \cosec \theta}{1 - \cosec \theta}, 0^\circ < \theta < 90^\circ$$ is:

The following table shows the daily seats occupancy in different classes of a train. Numbers in bracket represent the total seats available for a particular class.

What is the ratio of number of seats that remained vacant in all the Non-AC classes on Wednesday and Thursday taken together to number of seats remained vacant in AC classes on Monday, Tuesday and Friday?

Select the option that expresses the given sentence in indirect speech.
Raj said to his friend, “Please help me in this task.”

Select the most appropriate option to fill in the blank.
She knew that to apologise would ______ to admitting she had failed.

Select the most appropriate option to fill in the blank.
It was difficult to ______ Gopal to watch a horror movie.

Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select ‘No substitution’.
Fifty litres of milk are donated by the committee to the orphanage every week.

Select the option that can be used as a one-word substitute for the given group of words.
An imaginary ideal society free of poverty and suffering