SSC CGL 6 June 2019 Shift-3

The radii of three concentric circles are in the ratio of 4 : 5 : 7. What is the ratio of the area between the two inner circles to that between the two outer circles?

If $$ (1 + \tan^2 \theta) + (1 + ( \tan^2 \theta)^{-1}) = k,  then  \sqrt k = ?$$

If $$3\sqrt{3}x^3 - 2\sqrt2 y^3 = (\sqrt3 x - \sqrt2 y)(Ax^2 + By^2 + Cxy)$$, then the value of $$(A \times B) \div C$$ is:

To do a certain work, the ratio of the efficiencies of A, B and C is 7 : 5 : 6. Working together, they can complete the same work in 35 days. B and C work together for 21 days. The remaining work will be completed by A alone in:

Ina circle with center O and radius 10 cm, PQ and RS are two parallel chords of lengths x cm and 12 cm, respectively, and both the chords are on the opposite side of O. If the distance between PQ and RS is 14 cm,the value of x is:

$$\left(\frac{1}{1 + \sin^2 \theta} + \frac{1}{1 + \cosec^2 \theta}\right)$$ = 

In $$\triangle$$ACE, B and D are the points on side AC and CE,respectively, such that BD $$\parallel$$ AE and AE = $$\frac{8}{3}$$ BD. What is the ratio of the area of $$\triangle$$BDC to that of $$\triangle$$AEC?

The value of $$\frac{1}{\sin \theta} - \frac{\cot^2 \theta}{1 + \cosec \theta}$$ is:

The table shows the production of different types of cars (in thousands).

The total production of type B cars during 2013 to 2016 is approximately what percent less than the total production of cars in 2017?

A train travelling at 44 km/h crosses a man walking with a speed of 8 km/h,in the same direction, in 15 seconds. If the train crosses a woman coming from the opposite direction in 10 seconds, then what is the speed (in km/h) of the woman?