SSC CPO 12th-March-2019-Shift-1

A ladder leaning against a wall makes an angle $$\alpha$$ with the horizontal ground such that tan $$\alpha = \frac{3}{4}$$ If the foot of the ladder is 5 m away from the wall, what is the length of the ladder?

$$9\frac{3}{4}\div\left[2\frac{1}{6}+\left\{4\frac{1}{3}-\left(2\frac{1}{2}+\frac{3}{4}\right)\right\}\right]$$ is equal to:

$$ABCD$$ is a cyclic quadrilateral such that $$AB$$ is a diameter of the circle circumscribing it and angle $$ADC = 140^\circ$$. Then angle $$BAC$$ is equal to:

In the given pie-chart, what is the ratio of the total expenditure on steel, cement and bricks to the total expenditure on labour and miscellaneous expenses?

24 persons working 8 hours a day can complete 2 units of a work in 10 days. How many persons are required to complete 4 units of that work, if they work 6 hours a day for 16 days?

The average of 16 numbers is 43. The average of the first 7 numbers is 45 and the average of the next 6 numbers is 52. If the $$14^{th}$$ number is 11 less than the $$15^{th}$$ number and is 5 more than the $$16^{th}$$ number, then the average of the $$15^{th}$$ and $$16^{th}$$ number is:

Pipes A and B can fill a tank in 6 hours and 9 hours respectively and pipe C can empty the full tank in 12 hours. If all three pipes are opened together when a tank is empty, in how many hours will 35% of the tank be filled?

A boat can go 30 km downstream and 24 km upstream in 2 hours 27 minutes. Also, it can go 20 Ion downstream and 8 km upstream in 74 minutes. What is the speed of the boat in still water in km/h ?

The price of sugar has decreased by 15 %. By what percentage can a person increase the consumption so that there is no change in the expenditure?

5 cubes, each of edge 4 cm, are joined end to end. What is the total surface area of the resulting cuboid?