SSC CPO 3rd Oct 2023 Shift 2

For a triangle ABC, D and E are two points on AB and AC such that $$AD = \frac{1}{6} AB, AE = \frac{1}{6} AC$$. If BC = 22 cm, then DE is __________. (Consider up to two decimals)

Reema runs $$\frac{5}{4}$$ times as fast as Rekha. In view of this Reema allows Rekha a lead of 50 metres to Rekha in a friendly race competition. What is the distance from the starting point where both Reema and Rekha meet?

The given table shows marks obtained by four students in four subjects.

The average percentage of marks obtained by all students in Hindi is:

If $$\cot \theta = \frac{4}{3}, 0 < \theta < \frac{\pi}{2}$$, and $$5p \cos^{2} \theta \sin \theta = \cot^{2} \theta$$, then the value of p is:

Train ‘A’ requires 15 seconds to cross train ‘B’ of length 300 m moving in the opposite direction at a speed of 36 km/h. Further, train ‘A’ requires 30 seconds to cross a 500 m long stationary train ‘C’. Find the length (in m) of train ‘A’.

If the difference between the selling prices of an article at profits of 10% and 7% is ₹6, then the cost price (in ₹) of the article is:

Study the given pie chart and answer the question that follows.
The pie chart shows the National Budget Expenditure in the year 2019.

If ₹850 billion were spent in year 2019 for interest on debt and military, then what would have been the total expenditure for that year (int billion)?

John can do a piece of work alone in 20 days, while Ravi can do the same piece of work alone in 28 days. In how many days can the duo complete the same work if they work together?

At a courier shop, the weights of 8 parcels were found to be 1.5 kg, 1.25 kg, 1.35 kg, 750 gm, 950 gm, 0.7 kg, 0.4 kg, and 0.5 kg. Find their average weight.

Study the given pie-chart and answer the question that follows.
The pie-chart shows the percentage of 3600 students enrolled in different hobby classes in a school.

The number of students enrolled in Painting classes is approximately what percentage of those enrolled in Singing classes?