SSC CGL 17th August 2021 Shift-1

The data given in the table shows the number of students studying in four different disciplines in 5 institutes. Study the table and answer the question:

By what percent is the number of students studying Computer Science in institutes A and B more than the number of students studying Arts in institutes B and C?

If $$a^2 + c^2 + 17 = 2(a - 8b - 2b^2)$$, then what is the value of $$(a^3 + b^3 + c^3)$$?

Study the following table and answer the question:
Number of students enrolled for Vocational Courses (VC) in institutes A, B, C. D, E & F.

The total number of students enrolled for VC in institutes B, C and E in 2015 is x %more than the total number of students enrolled in institutes A, D and F in 2016. The value of x is closest to:

If $$\cos(A - B) = \frac{\sqrt{3}}{2}$$ and $$\cot(A + B) = \frac{1}{\sqrt{3}}$$ Where A - B and A + B are acute angles, then (2A - 3B) is equal to:

If $$(54\sqrt{2}x^3 + 24\sqrt{3}y^3)\div (\sqrt{18}x + \sqrt{12}y) = Ax^2 + by^2 + Cxy$$, then what is the value of $$A^2 - (B^2 + C^2)?$$

The following sentence has been divided into parts. One of them contains an error. Select the part that contains the error from the given options.
The sea has become / an cheap dumping ground / for all kinds / of waste products.

Select the most appropriate meaning of the given idiom.
Herculean task

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. Most important, however, are its oils, which are extracted, processed, and marketed for culinary, medicinal, and cosmetic uses alike.
B. Coconut products are used to make everything from clothing to animal feed to beauty creams.
C. The coconut is a very useful plant with a wide range of products being sourced from it.
D. Its kernel is harvested for its edible flesh and delicious water, while its husk is used for its strong fibres.

Select the option that expresses the given sentence in indirect speech.
“How beautiful she is!” said Betty.

Select the INCORRECTLY spelt word.