SSC CPO 11th Nov 2022 Shift 3

A can run 250m in 25 sec and B in 30 sec. How many metres start can A give to B in a km race so that the race may end in a dead-heat?

Swastik purchased a laptop for Rs.75,000 and sold it to Anju suffering a loss of 10%. Anju sold the same laptop after earning a profit of 20%. At what price (in Rs.) did Anju sell the laptop?

Let x = 224 and,y = 322. If the highest common factor of 23x and a×y is divisible by x and y, then what can be the possible value of a?

After successive discounts of 10% and 5%, an article was sold for Rs.342. What was the original price of the article?

AB is a chord in a circle of radius 13 cm. From centre O, a perpendicular is drawn through AB intersecting AB at point C. The length of OC is 5 cm. What is the length of AB?

If the equation $$k(21x^2 + 24) + rx + (14x^2 - 9) = 0$$
$$k(7x^2 + 8) + px + (2x^2 - 3) = 0$$ have both roots common, then the value of $$\frac{p}{r}$$ is:

The ratio of first and second sum of money is 7:8. If the first sum is 35, the second sum is:

The difference between the semi-perimeter and the sides of ΔPQR are 18 cm, 17 cm and 25 cm, respectively. Find the area of the triangle.

The average score in an English exam of a class of 45 students in a coaching centre is 52. A group of 6 boys having an average score of 40 leave the class and another group of eight boys having an average score of 43 join the class. What is the new average score of the class?

What are the values of ‘&’ and ‘#’, respectively, if the following number is perfectly divisible by 9?
51&918#0