SSC CGL Tier-2-17-February-2018 Maths
For the following questions answer them individually
What is the value of $$\sin (B - C) \cos (A - D) + \sin (A - B) \cos (C - D) + \sin (C - A) \cos (B - D)?$$
What is the value of $$\frac{\left\{[4 \cos (90 - A) \sin^3(90 + A)] - [4 \sin (90 + A) \cos^3(90 - A)]\right\}}{\cos\left[\frac{180 + 8A}{2}\right]}$$?
What is the value ofÂ
$$\cos [\frac{(180 - \theta)}{2}] \cos [\frac{(180 - 9\theta)}{2}] + \sin [\frac{(180 - 3\theta)}{2}] \sin [\frac{(180 - 13\theta)}{2}]?$$
What is the value ofÂ
$$[\tan^2 (90 - \theta) - \sin^2 (90 - \theta)] \cosec^2 (90 - \theta) \cot^2 (90 - \theta)?$$
Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building?
The tops of two poles of height 60 metres and 35 metres are connected by a rope. If the rope makes an angle with the horizontal whose tangent is 5/9 metres, then what is the distance (in metres) between the two poles?
A Navy captain going away from a lighthouse at the speed of $$4[(\surd3) - 1]$$ m/s. He observes that it takes him 1 minute to change the angle of elevation of the top of the lighthouse from $$60^\circ$$ to $$45^\circ$$. What is the height (in metres) of the lighthouse?
Read the following Table and Answer the questions that follow:
The table given below shows the number of applicants who have applied for exam at various centres as percentage of total number of applicants. The table also shows the number online applicants and absent applicants as a percentage of total applicants of each centre. Total number of applicants is 1200000.
If A equals to 15% of total applicants who are present at exam centre F and B equals to present applicants at exam centre K, then A is what percent of B?
Total number of offline applicants from exam centre H, K and F are how much less than the total number of present applicants from exam centre G and J?
