SSC CGL 4 June 2019 Shift-1

If $$\sin \theta = \frac{p^2 -1}{p^2 + 1}$$, then $$\cos \theta $$ is equal to:

The ratio of the efficiencies of A, B and C is 2 : 5 : 3. Working together. they can complete a work in 27 days. B and C together can completes $$\frac{4}{9}$$the part of that work in:

The average of twelve numbers is 42. The average of the last five numbers is 40, and that of the first four numbers is 44. The 6$$^{th}$$ number is 6 less than the fifth and 5 less than the 7$$^{th}$$ number. The average of the 5$$^{th}$$ and the 7$$^{th}$$ numbers is:

If x + y + z = 19, $$x^2 +y^2 + z^2 = 133$$ and $$xz = y^2$$, then the difference between z and x is:

$$\frac{2 + \tan^2 \theta + \cot^2 \theta}{\sec \theta \cosec \theta}$$ is equal to:

In a circle of radius 10 cm, with centre O. PQ and PR are two chords each of length 12 cm PO intersects chord QR at the points 5. The length of OS is:

A sum amounts to ₹8,028 in 3 years and to ₹12,042 in 6 years at a certain rate percent per annum, when the interest is compounded yearly. The sum is:

The value of $$2 \times 3 \div 2  of  3 \times 2 \div (4 + 4 \times 4 \div 4  of  4 - 4 \div 4 \times 4)$$ is:

If the marked price of the article is Rs. 720 and two successive discount of x% are offered. A total discount of 259.2 is offered then what is the value of x?

A solid cube of volume 13824 cm$$^3$$ is cut into 8 cubes of equal volumes. The ratio of the surface area of the original cube to the sum of the surface areas of three of the smaller cubes is: