SSC CHSL 2 July 2019 Shift-2

If $$3 \sin \theta = 2 \cos^2 \theta, 0^\circ < \theta < 90^\circ$$, then the value of $$(\tan \theta + \cos \theta + \sin \theta)$$ is:

PAT is a tangent to a circle at point A on it, and AB is a chord such that  $$\angle BAT = 72^\circ$$. If C is a point on the circle such that $$\angle CBA = 58^\circ$$, then what is the measure of $$\angle CAB$$ ?

If $$\frac{1}{\sec \theta - \tan \theta} - \frac{1}{\cos \theta} = \sec \theta \times k, 0^\circ < \theta < 90^\circ$$, then k is equal to:

The ratio of the present ages of A and is 6 : 5. Four years ago,this ratio was 5 : 4. What will be the ratio of the ages of A and B after 12 years from now ?

Amit travelled from A to B at an average speed of 80 km/h. He travelled the first 75% of the distance in two-third of the time and the rest at a constant speed of x km/h. The value of is:

In $$\triangle$$ABC, the bisectors of $$\angle$$B and $$\angle$$C intersect each other at a point D. If $$\angle$$BDC = $$104^\circ$$, then the measure of $$\angle$$A is:

The value of $$3 \times 2 \div 3  of  12 - 3 \div 2 \times (2 - 3) \times 2 + 3 \div 2   of  3$$ is:

A sum of ₹7,500 amounts to ₹8,748 after 2 years at a certain compound interest rate per annum. What will be the simple interest on the same sum for $$4\frac{3}{5}$$ years at double the earlier interest rate ?

If the nine-digit number 8175x45y2 is divisible by 72, then the value of $$\sqrt{4x + y}$$, for the largest value of y, is:

The curved surface area and the volume of a cylindrical pole are 132 m$$^2$$ and 528 m$$^3$$, respectively. What is the height (in m) of the pole?

(Take $$\pi = \frac{22}{7}$$)