SSC CGL 7th March 2020 Shift-3

If $$\cot \theta + \tan\theta = 2 \sec \theta, 0^\circ < \theta < 90^\circ $$, then the value of $$\frac{\tan 2 \theta - \sec \theta}{\cot 2 \theta + \cosec \theta}$$

The total number of students in a class is 65. If the total number of girls in the class is 35, then the ratio of the total number of boys to the total number of girls is:

The following table shows the percentage distribution of the population of five states, A, B, C, D and E on the basis of the poverty line and also on the basis of sex.

If the population of males below the poverty line for State C is 3 million, then what is the total population of State C?

The following table shows the items of expenditure of a company(in ₹ lakh per annum), from 2015 to 2019.

What is the average amount of interest per year which the company had to pay during this period?

In the given figure, a circle inscribed in $$\triangle$$ PQR touches its sides PQ, QR and RP at points S, T and U,respectively. If PQ = 15 cm, QR= 10 cm, and RP = 12 cm, then find the lengths of PS, QT and RU?

When two equal amounts are deposited for 5 years and 3 years at the rate of 7% and 9% per annum respectively, and the difference of their simple interest is Rs 475. Then find the deposited amount.

$$25a^{2}-9$$ is factored as

Solve the following.
$$\left(\frac{\sin 27^\circ}{\cos 63^\circ}\right) - \left(\frac{\cos 27^\circ}{\sin 63^\circ}\right)^{2}$$

Solve the following expression.
$$ 5.6 - \left\{2 + 0.6  of  (2.1 - 2.6 \times 1.12)\right\}$$

The average score in Mathematics of 90 students of sections A and B together is 49. The number of students in A was 25% more than that of B, and the average score of the students in B was 20% higherthan that of the students in A. What is the average score of the students in A?