SSC CGL Tier-2 12th September 2019 Maths

The value of $$9 \times 6 \div 24 + 8 \div 2  of  5 - 30 \div 4  of  4 + 27 \times 5 \div 9$$ is:

A field roller, in the shape of a cylinder, has a diameter of 1 m and length of $$1\frac{1}{4}$$ m. If the speed at which the roller rolls is 14 revolutions per minute, then the maximum area (in m$$^2$$) that it can roll in 1 hour is: (Take $$\pi = \frac{22}{7}$$)

If the volume of a sphere is 4851 $$cm^3$$, then its surface area (in $$cm^2$$) is: (Take $$\pi = \frac{22}{7}$$)

From a point exactly midway between the foot of two towers P and Q,the angles of elevation of their tops are $$30^\circ$$ and $$60^\circ$$, respectively. The ratio of the height of P to that of Q is:

The graphs of the equations $$2x + 3y = 11$$ and $$x - 2y + 12 = 0$$ intersects at $$P(x_1, y_1)$$ and the graph of the equations $$x - 2y + 12 = 0$$ intersects the x-axis at $$Q (x_2, y_2)$$. What is the value of $$(x_1 - x_2 + y_1 + y_2)$$?

If $$x = \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} + \sqrt{3}}$$ and $$y$$ is the reciprocal of $$x$$, then what is the value of $$(x^3 + y^3)$$?

A man starts from his house and travelling at 30 km/h, he reacheshis office late by 10 minutes, and travelling at 24 km/h, he reachesh is office late by 18 minutes. The distance (in km) from his house to his office is:

The value of 

$$(\tan 29^\circ \cot 61^\circ - \cosec^2 61^\circ) + \cot^2 54^\circ - sec^2 36^\circ + (sin^2 1^\circ + sin^23^\circ + \sin^2 5^\circ + --- + \sin^2 89^\circ)$$ is:

If $$\sqrt{10 - 2\sqrt{21}} + \sqrt{8 + 2\sqrt{15}} = \sqrt{a} + \sqrt{b}$$, where $$a$$ and $$b$$ are positive integers, then the value of $$\sqrt{ab}$$ is closest to:

A can do 40% of a work in 12 days, whereas B can do 60% of the same work in 15 days. Both work together for 10 days. C completes the remaining work alone in 4 days. A, B and C together will complete 28% of the same work in: