SSC CPO 9th Nov 2022 Shift 2

If a + b + c = 10 ; $$a^{2} + b^{2} + c^{2} = 38$$, what is the value of $$(a - b)^{2} + (b - c)^{2} + (c - a)^{2}$$?

The following table represents the number of computers (numbers in thousands) manufactured by four companies from period 2014 to 2016. Study the table carefully and answer the following question.

For the years 2014 to 2016, what is the difference (numbers in thousands) between the combined production of computers by Companies A and D and the production of computers by Companies B and C taken together?

A car covers a particular distance in 3 hours with the speed of 54km/h. If the speed is increased by 27km/h, the time taken by the car to cover the same distance will be:

Class 10, consisting of 40 students, took a science test. 30 students had an average score of 95. The other students had an average score of 85. What is the average score of the whole class?

Shivi drives her car on three different ways to reach the destination. Determine the average speed during this journey.

PQ and RS are two parallel chords of a circle such that PQ is 48 cm and RS is 40 cm. If the chords are on the opposite sides of the centre and the distance between them is 22 cm, what is the radius (in cm) of the circle?

Study the given bar-graph and answer the question that follows.
The bar-graph shows the export of rice (in ₹ lakh) during five years.

The average export of rice for the years 2010 to 2014 (in ₹ lakh was:

The areas of two similar triangles ABC and PQR are 64 $$cm^{2}$$ and 144 $$cm^{2}$$ , respectively. If the greatest side of the smaller $$\triangle$$ ABC is 24 cm, then what is the greatest side of the bigger $$\triangle$$ PQR?

Water is flowing through a cylindrical canal with an internal diameter of 7 m at the speed of 18 km/h. Find the volume of water flowing through the canal in 30 minutes (take $$ \pi = \frac{22}{7}$$)

The sum of two numbers is 1224 and their HCF is 68. The number of pairs of numbers satisfying the above condition is: