SSC CHSL 6th June 2022 Shift-2

$$16a^{2} +4b^{2} -9c^{2} - 16ab-12bc - 24ca =$$ ?

The table below shows the expenditure of a company (in lakhs of rupees per annum) in five consecutive years as mentiond. Study the table and answer the question that follows.

As per the information provided in the table, the positive difference between the yearly average expenditure on salaries and taxes of the company is ________.

Simplify the following expression.
$$\frac{\left(2.01 \times2.01 \times2.01\right)+\left(39.75\times39.75 \times39.75\right)+ \left(28.24\times28.24\times28.24\right) - 3\left(2.01\times39.75\times28.24\right)}{\left(2.01 \times2.01\right)+\left(39.75\times39.75\right)+\left(28.24\times28.24\right) - \left(2.01\times39.75\right)- \left(39.75\times28.24\right) - \left(28.2 4\times2.01\right)}$$

If the corresponding angles of two triangles are equal and satisfy $$\frac{PX}{ER}=\frac{ZX}{RF}=\frac{PZ}{EF}$$, then:

If the length of diagonal of a cube is $$8\sqrt{3}$$ cm then what is its surface area?

The value of $$\sin 8^{\circ}$$ is given as $$\frac{\sqrt{5}-1}{4}$$. Find the value of $$\cosec 18^{\circ}$$.

The value of $$\left(7 + 8 - 9 \div 3 \times 2\right) + \left[52 - 4 of 5 + 4 \times 7\right]$$ is:

A work is done by P & Q, Q & R, and R & P in 12, 15, and 20 days, respectively. How many days will P alone take to complete the work?

A man can swim in still water at a speed of 6 km/h, but he takes thrice as long to swim upstream as downstream. The speed of the man, when swimming downstream is:

If 30 men can harvest a meadow in 7 days, in how many days can 21 men harvest the same meadow?