SSC CPO 11th Nov 2022 Shift 1

Two circles touch each other externally. The radius of the first circle with centre A is 18cm. The radius of the second circle with centre B is 8cm.Find the length of their
common tangent CD.

If $$r = 55$$, then the value of $$r(r^2 + 3r + 3)$$ is:

A group of men committed to completing a task in 20 days. The work was completed in 40 days because 5 workers did not come for work. Determine the number of men who originally agreed to do the work.

The following bar diagram shows the number of students who opted for the different subjects in the year 2020 and 2021.

What is the sum of the total number of students who opted for different subjects in 2020 and only Geography in 2021?

Ramu had to select a list of numbers between 1 and 1000 (including both), which are divisible by both 2 and 7. How many such numbers are there?

The value of $$\left[1\frac{2}{7} \times \left\{3\frac{1}{2} \div \left(\frac{1}{2} - \frac{1}{7}\right)\right\}\right] \div \left(4\frac{1}{5} \times 1\frac{1}{2}\right)$$ is:

The third proportional of 0.024 and 0.12 is:

If $$4 \cos \theta + 3 \sin \theta = x$$ and $$4 \sin \theta - 3 \cos \theta = y$$, find the value of $$x^2 + y^2$$.

Find the value of the follwing expression.
$$\frac{\left[\frac{5}{8} - \left\{\frac{3}{8} - \left(\frac{5}{8} - \frac{3}{8}\right)\right\}\right] of 8.8 - 1.2}{4\frac{1}{6} \div 2.5 \times 2 \div \frac{1}{6} of 60 + \left(\frac{3}{4} - \frac{3}{8}\right)}$$

The sum of the odd divisors of 216 is: