SSC CGL 4th March 2020 Shift-1
For the following questions answer them individually
In $$\triangle ABC, AB = AC$$. A circle drawn through B touches AC at D and intersect AB at P. If D is the mid point of AC and AP 2.5 cm, then AB is equal to:
If $$5 \sin^2 \theta + 14 \cos \theta = 13, 0^\circ < \theta < 90^\circ$$, then what is the value of $$\frac{\sec \theta + \cot \theta}{\cosec \theta + \tan \theta}$$?
The value of $$\frac{7 - [4 + 3(2 - 2 \times 2 + 5) - 8] \div 5}{2 \div 2 of (4 + 4 \div 4 of 4)}$$ is:
If 2x + 1, x + 2, 2 and 5 are in proportion, then what is the mean proportional between 3.5(1 - x) and 8(1 + x)?
ABCD is a cyclic quadrilateral in which AB = 16.5 cm, BC = x cm, CD = 11 cm, AD = 19.8 cm, and BD is bisected by AC at O. What is the value of x ?
In $$\triangle ABC, \angle B = 68^\circ$$ and $$\angle C = 32^\circ$$. Sides $$AB$$ and $$AC$$ are produced to points $$D$$ and $$E$$, respectively. The bisectors of $$\angle DBC and \angle BCE$$ meet at F. What is the measure of $$\angle BFC$$?
A trader allows a discount of 18% on the marked price of an article. How much percentage above the cost price must he mark it so as to get a profit of 6.6%?
The given table represents the number of computers sold by four dealers A, B, C and D during the first six months of 2016. Study the table carefully and answer the question that follows.
The total number of computers sold by dealer B in April, May and June is what percentage of the total number of computers sold by all the dealers in February and April?
A boat can go 3 km upstream and 5 km downstream in 55 minutes. It can also go 4 km upstream and 9 km downstream in 1 hour 25 minutes. In how much time(in hours) will it go 43.2 km downstream?
What is the compound interest on a sum of ₹12,000 for $$2\frac{5}{8}$$ years at 8% p.a., when the interest is compounded annually? (nearest to a rupee)
