SSC CHSL 12th August 2021 Shift-2

If the nine-digit number 259876p05 is completely divisible by 11. then what is the value of $$(p^2 + 5)$$?

If 5 tan A = 12, then what is the value of $$\frac{13 \sin A + 20 \tan A}{15 \tan A - 13 \cos A}$$, where A is an acute angle ?

The side OR of a triangle PQR is extended to a point S. If $$\angle PRS = 104^\circ$$ and $$\angle RQP = \frac{3}{5} \angle QPR$$ , then the value of $$\angle QPR$$ is:

The value of $$56 \div [12 + 9 \div 3 - \left\{8 + (18 of 2 \div 9) - (40 \div 5 of 2)\right\}] + \frac{27 + \frac{2}{5} of 75}{5 + \frac{2}{3} \times (58 - 37)}$$ is:

O is the centre of a circle of radius 9 cm. M is a point outside the circle and MN is a tangent to the circle. What is the length (in cm) of OM if the length MN is 12 cm?

Study the following bar graph and answer the question given below.
The bar graph represents the total number of applications received for B.Sc. Mathematics by two different colleges A and B in 5 different years.

In 2015, out of the total number of applications received by colleges A and B together, only 60% were accepted. What were the total number of applications accepted by colleges A and B together in 2015?

Study the given bar graphs and answer the question that follows.
The bar graphs represent the amount invested in raw materials (in ₹ crore) and the sale of the products, by a textile company in the years 2007— 2012. The X-axis represents the years. The Y-axis represents the amount invested in raw materials (in ₹ crore) in figure 1 and sale of products in figure 2, respectively.

                                                                           Figure 1

                                                                          Figure 2
In 2011, the sale of products had increased by certain percentage with respect to the previous year. In 2012, by what percent should the sale of products increase from its present value so that it shows the same percent increase as had been shown in 2011?

If $$\sin^2 x = 3 \cos^2 x$$ and $$0^\circ \leq x \leq 90^\circ$$, then what is the value of $$\frac{x}{2}$$?

Study the given graph and answer the question that follows.

The average number of computers of type B sold in January, February and June exceeds by 20 the number of computers of type A sold in:

A man invested ₹2,400 at 5% and ₹5,400 at 9% simple interest. What amount(in ₹) will he get from his investments after 6 years?