SSC CGL Tier-2 9-March-2018 Maths Shift-2
For the following questions answer them individually
If $$\sin (A - B) = \frac{1}{2}$$ and $$\cos (A + B) = \frac{1}{2}$$, then what is the value of $$\sin A \cos A + \sin^2 A \sin B \cos B + \cos^3 A \cos B \tan A$$?
If $$(A + B + C) = 90$$°, then what is the value of $$\sin \left(\frac{A}{2}\right) \sin \left[\frac{(180 — B — C)}{2}\right] + \cos \left(\frac{A}{2}\right) \sin \frac{(B + C)}{2}$$?
What is the value of $$\cot (90 - x) \sin^4 (90 - x) + \cot (180 - x) \sin^4 (180 - x)$$?
A flag of height 4 metres is standing on the top of a building. The angle of elevation of the top of the flag from a point X is 45° and the angle of elevation of the top of building from X is 30°. Point X is on the ground level. What is the height (in metres) of the building?
Height of a tower is 120 metres. The angle of elevation of the top of tower from a point B is 75°. Point B is on the ground level. What is the distance (in metres) of point B from the base of tower?
Mohit is standing at some distance from a 60 meters tall building. Mohit is 1.8 meters tall. When Mohit walks towards the building, then the angle of elevation from his head becomes 60° from 45°. How much distance (in metres) Mohit covered towards the building?
The table given below shows the ratio of cars and Bikes manufactured by 5 different companies. The table also shows the ratio of three different types of cars Cl, C2 and C3 and three different types of bikes al, B2 and B3 manufactured by these 5 different companies. Total numbers of car and bikes together manufactured by D, E, F, G and H are 300000, 280000, 320000, 400000 and 480000 respectively.
Total number of bikes manufactured by company D is what percentage of total number of cars of type C1 manufacture by company G?
What is the average of the total number of cars of type Cl manufactured by the given 5 companies?
What is the difference between the total number of C3 type car manufactured by company E and G together and the number of bikes of type B1 manufactured by company H?
