SSC CGL 16th August 2021 Shift-1

Table shows income (in ₹) received by 4 employees of a company during the month of December 2020 and all their income sources.

By what percent are the Arrears of Amit and Suresh taken together less than the Arrears of Nitin and Varun taken together?

If $$a^3 + b^3 = 405$$ and $$a + b = 9$$, then the value of ab is

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

The total number of students enrolled for VC in institute C in 2013, 2014 and 2017 is what percent of the total number of students enrolled in all the five institutes in 2018?

If $$\left(2x - \frac{3}{x}\right) = 2$$, then what is the value of $$\left(16x^4 + \frac{81}{x^4}\right)?$$

If $$\frac{\cosec \theta + \cot \theta}{\cosec \theta - \cot \theta} = 7$$, then the value of $$\frac{4 \sin^2 \theta - 1}{4 \sin^2 \theta + 5}$$ is:

The average of 22 numbers is 37.5. The average of first 12 numbers is 40.6 and that of the last 12 numbers is 35.4. If 11th and 12th numbers are excluded, then what is the average of the remaining numbers?

If the 6-digit number 5x423y is divisible by 88, then what is the value of (5x - 8y)?

If $$3 \cos^2 \theta - 4 \sin \theta + 1 = 0, 0^\circ < \theta < 90^\circ$$, then $$\tan \theta + \sec \theta = ?$$

In a circle with center O, AB is a diameter and CD is a chord such that $$\angle ABC = 34^\circ$$ and CD = BD. What is the measure of $$\angle DBC$$?

In a circle with center O and radius 5 cm, AB and CD are two parallel chords of lengths 6 cm and x cm, respectively and the chords are on the opposite side of the centre O . The distance between the chords is 7 cm. What is the value of x?