SSC CGL 20th August 2021 Shift-3

The side of an equilateral $$\triangle ABC$$ is $$3\sqrt{7}$$ cm. P is a point on side BC such that BP : PC = 1 : 2. The length (in cm) of AP is:

The marked price of an article is ₹5320. It is subject to two successive discounts, the first being 15%, and the second at a rate of 20% of the first. What is the selling price (to nearest ₹) of the article?

The value of $$\sec^4 \theta (1 - \sin^4 \theta) - 2 \tan^2 \theta$$ is:

If $$x + y + z = 3, xy + yz + zx = -12$$ and $$xyz = -16$$, then the value of $$\sqrt{x^3 + y^3 + z^3 + 13}$$ is:

A can do a piece of work in 2 days, and B can dofive times the same work in 15 days when they work for ten hours a day. If they work together, then how many hours in addition to a days’ work will they require to complete the work?

Select the INCORRECTLY spelt word.

Select the option that can be used as a one-word substitute for the given group of words.
A person appointed by two parties to solve a dispute

Select the option that will improve the underlined part of the given sentence. In case no improvement is needed select ‘No improvement required’.
He will lose all his wealth if he doesn't mends his ways.

Select the most appropriate ANTONYM of the given word.
Sabotage

Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the right order to form a meaningful and coherent paragraph.
A. There lived a foolish king in a large kingdom.
B. He thought that it will be a good joke.
C. He did not realise that what he thought of as a joke would cost him heavily.
D. The king once decided to throw all his ministers in prison for a day.