SSC CPO 10th Nov 2022 Shift 3

Simplify: $$\left(x + y\right)^{3}− \left(x − y\right)^{3} − 6y\left(x^{2} − y^{2}\right)$$

If $$x^{2} + 6x+ 1 = 0$$, then the value of $$\left(x + 6\right)^{3} + \frac{1}{\left(x + 6\right)^{3}}$$ = ?

Study the given table and answer the question(s) that follow(s).
The marks obtained by four students A, B, C and D in Mathematics, Statistics and Computers are given in the following table.

Who among the students has ranked first on the basis of the total marks obtained as per the given table?

The value of $$\frac{\frac{5}{2}-\frac{3}{7}\times1\frac{4}{5}\div3\frac{6}{7}}{\frac{3}{2}+1\frac{2}{5}\div 3\frac{1}{2} \times 1\frac{1}{4}}$$ is:

If the LCM of two numbers a and b is 60 and their HCF is 15. Determine their mean proportion.

The area of the sector of a circle is 128 $$cm^{2}$$ . If the length of the arc of that sector is 64 cm, then find the radius of the circle.

The following table shows the number of centuries scored by cricketers in the past 5 years.

The total number of centuries scored by which two players in the mentioned years are the same?

Find the HCF of $$\frac{11}{25},\frac{9}{20},\frac{16}{15}$$ and $$\frac{10}{33}$$

The ratio of a father’s age to his son’s age is 3 : 2 The product of the numbers representing their age is 486. The ratio of their ages after 5 years will be:

Solve $$\left\{1 + 7 + \left(16 \div 8 \div 2\right)\right\} + \left\{\left(6 \times 2^{2} + 6\right) \times \frac{2}{\sqrt{36}}\right\}$$