SSC CHSL 15th April 2021 Shift-1

If $$\cos \theta = \frac{2}{3}$$, then $$2 \sin^2 \theta + 2 \tan^2 \theta - 6$$ equals:

AB is a diameter of the circle with centre O . The tangent at the point C on the circle meets AB produced at Q . If $$\angle BAC = 34^\circ$$, then the measure of $$\angle CQA$$ (in degrees) will be:

The list price of a motorcycle is 20% more than its cost price. It is sold at a discount of 30%. Find the dealer's loss percentage.

If the ratio of the curved surface area and volume of right circular cylinder is 5 : 7, then its radius is:

If A lies between $$45^\circ$$ and $$540^\circ$$, and $$\sin A = 0.5$$, what is the value of A/3 in degrees?

If the nine-digit number 2354149x is divisible by 72, then (3x + 5y) : (5x + 3y) is equal to:

Study the given graph and answer the question that follows.

In the year 2019, if the imports increased by the same percentage as that in 2018 over its previous year, then what was the amount(in ₹ crores) of the imports in the year 2019?

A man invested a total of ₹12,050 in two parts, one at 10% p.a. simple interest for 2 years and the other at the same rate at compoundinterest, interest being compounded annually, for the same time. The amounts he received from both the parts are equal. The sum(in ₹) invested at the compound interest is:

If $$x + y = 5$$ and $$\frac{1}{x} + \frac{1}{y} = \frac{20}{9}$$, then the value of $$(x^3 + y^3)$$ will be:

The speed of a boat down stream is 150% more than its speed upstream.If the time taken by the boat for going 80 km downstream and 50 km upstream is 8.2 hours, then what is the speed (in km/h) of the boat down stream?