SSC CGL Tier-2 13th September 2019 Maths

In $$\triangle PQR, \angle Q > \angle R, PS$$ is the bisectors of $$\angle P$$ and $$PT \perp PQ$$. If $$\angle SPT = 28^\circ$$ and $$\angle  R = 23^\circ$$, then the measure of $$\angle Q$$ is: 

25 persons can complete a work in 60 days. They started the work. 10 persons left the work after x days. If the whole work was completed in 80 days, then whatis the value of x ?

The value of $$\sin^2 64^\circ + \cos 64^\circ \sin 26^\circ + 2 \cos 43^\circ \cosec 47^\circ$$ is:

A tank is in the form of a cuboid with length 12 m. If 18 kilolitre of water is removed from it, the water level goes down by 30cm. Whatis the width (in m) of the tank?

In finding the HCF of two numbers by division method, the last divisor is 17 and the quotients are 1. 11 and 2, respectively. What is sum of the two numbers?

A person invested one-fourth of the suum of ₹25,000 at a certain rate of simple interest and the rest at 4% p.a. higher rate. If the total interest received for 2 years is ₹4,125, whatis the rate at which the second sum was invested?

The radius of the base of a right circular cylinder is 3 cm and its curved surface area is $$60 \pi cm^2$$ , The volume of the cylinder (in $$cm^3$$) is:

If $$\frac{3(x^2 + 1) - 7x}{3x} = 6,$$ x ≠ 0, then the value of $$\sqrt{x} + \frac{1}{\sqrt{x}}$$ is:

Basir’s working hours per day were increased by 15% and his wages per hour were increased by 20%. By how much per cent did his daily earings increase?

A student was asked to find the value of $$9\frac{4}{9}\div11\frac{1}{3} of \frac{1}{6} + \left(1\frac{1}{3} \times 1\frac{4}{5} \div \frac{3}{5}\right) \times 2\frac{1}{6} of \frac{2}{3} \div \frac{4}{3} of \frac{2}{3}$$. His answer was $$19\frac{1}{4}$$. What is the difference between his answer and the correct answer