SSC CGL Tier-2 9-March-2018 Maths-shift-1
For the following questions answer them individually
If $$P + Q + R = 60$$°, then what is the value of $$\cos Q \cos R (\cos P - \sin P) + \sin Q \sin R (\sin P - \cos P)$$?
What is the value of $$\frac{[1 +2 \cot^2(90 - x) - 2\cosec(90 - x) \cot(90 - x)]}{[\cosec(90 - x) - \cot(90 - x)]}$$?
What is the value of $$\sin(180 - \theta) \sin(90 - \theta) - \left[\frac{\cot(90 - \theta)}{1 + \tan^2 \theta}\right]$$
A pole is standing on the top of a house. Height of house is 25 metres. The angle of elevation of the top of house from point P is 45° and the angle of elevation of the top of pole from P is 60°. Point P is on the ground level. What is the height (in metres) of pole?
A ladder is placed against a wall such that it just reaches the top of the wall. The foot of the ladder is at a distance of 5 metres from the wall. The angle of elevation of the top of the wall from the base of the ladder is 15°. What is the length (in metres) of the ladder?
An aeroplane is flying horizontally at a height of 1.8 km above the ground. The angle of elevation of plane from point X is 60° and after 20 seconds, its angle of elevation from X is become 30°. If point X is on ground, then what is the speed (in m/s) of aeroplane?
The table given below shows the production of maize by 5 different states as a percentage of total production. Each state produces only maize and rice. There are three types of rice — R1, R2 and R3. The table also shows the R1 type of rice produced as a percentage of total rice production and the ratio of R2 and R3 type of rice. Total production by each state is 625000.
What is the difference between the R1 type of rice produced by state X and the R2 type of rice produced by state H?
What is the sum of the total production of maize by state X and T and total production of R2 type of Rice by state S and R?
Production of R3 type of rice by state X is what percentage of production of R1 type of rice by state S?
