SSC CPO 3rd Oct 2023 Shift 1

If a truck moves at a constant speed of 30 km/h for 1 kilometre and 45 km/h for the next 1 kilometre. What is the average speed of the truck?

P, Q and R, when working individually, can complete a job in, respectively, 36 days, 48 days and 144 days. P, Q and R start working together. P leaves the job 12 days before completion and Q leaves the job 8 days before completion. R works from the beginning till the end of the job. Determine the total number of days taken to complete the job.

If $$a + b = 10$$ and $$ab = 6$$, then the value of $$a^{3} + b^{3}$$ is:

If $$\cos \theta - \sin \theta = \sqrt{2} \sin \theta$$, then ($$\cos \theta + \sin \theta $$) is:

The sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 90 cm. Find its area (in $$cm^{2}$$).

The given pie-chart shows the distribution of the marks scored by Ram in five different subjects (in percentage).

What is the ratio of the central angle of Maths to the central angle of Science?

Study the given data and answer the question that follows.
The tables shows the number of candidates (in lakh) appearing in an entrance exam from four different cities and the ratio of candidates passing and failing in the same.

Ratio of candidates passing and failing within the city.

What is the number of failed candidates (in lakh) in city D?

Two circles of radius 13 cm and 15 cm intersect each other at points A and B. If the length of the common chord is 12 cm, then what is the distance between their centres?

Study the given bar-graph and answer the question that follows.

The bar-graph shows the higher secondary students of a school for the years 2008, 2009 and 2010.

The percentage of students who passed in the second division in the year 2010 was:

Two numbers are in the ratio 5:3 and the difference between these two numbers is 34.
Find the smaller of the two numbers.