SSC CGL 20th August 2021 Shift-2

The volume of a wall whose height is 10 times its width and whose length is 8 times its height is 51.2 m$$^3$$ . What is the cost(in ₹) of painting the wall on one side at the rate of ₹100/ m$$^2$$ ?

The ratio of monthly incomes of A and B is 4 : 5 and that of their monthly expenditures is 3 : 8. If the income of A is equal to the expenditure of B, then what is the ratio of savings of A and B?

Two pipes A and can fill an empty tank in 10 hours and 16 hours respectively. They are opened alternately for 1 hour each, opening pipe first. In how many hours, will the empty tank be filled?

If $$\cot \theta = \frac{15}{8}, \theta$$ is an acute angle, then find the value of $$\frac{(1 - \cos \theta)(2 + 2 \cos \theta)}{(2 - 2 \sin \theta)(1 + \sin \theta)}$$.

The present population of a village is 15280. If the number of males increases by 25% and the number of females increases by 15%, then the population will become 18428. The difference between present population of males and females in the village is:

Study the following table and answer the question:
Percentage of marks obtained by six students in five subjects A, B, C, D & E.

The total marks obtained by Amit in subjects A, B and C is what percent less than the total marks obtained by Vikram in subjects B, C, D and E?

Simplify the following expression:
$$15 \div 3  \text{of}   2 \times 4 + 9 \div 18  \text{of}   2 \times 3 - 4 \div 8 \times 2$$

The table shows the daily income (in ₹) of 50 persons.
Study the table and answer the question:

What is the percentage of persons earning ₹250 or more?

If $$\sqrt{x}-\frac{1}{\sqrt{x}}=\sqrt{7}$$, then the value of $$x^2 + \frac{1}{x^2}$$ is:

If $$\cos(2 \theta + 54^\circ) = \sin \theta, 0^\circ < (2 \theta + 54^\circ) < 90^\circ$$, then what is the value of $$\frac{1}{\cot 5 \theta + \sec \frac{5 \theta}{2}}$$?