SSC CGL Tier l 2023 Question Paper Shift 3 (July 14th)

A dealer professing to sell his goods at cost price uses 950 grams weight for 1 kg. His gain percentage is: ( rounded off to two decimal places)

A trader allows a 20% trade discount and a 30% cash discount. If the list price is ₹1,200, then the selling price (in ₹) is:

If $$x + \frac{1}{x} = 7$$, then the value of $$x^6 + \frac{1}{x^6}$$ is:

The current ages of Sudhir and Ashish are in the ratio 5 : 7. Twelve years ago, the ratio of their ages was 1 : 2. What will be the age of Sudhir after five years from now?

A man invests a total sum of ₹10,000 in a company. A part of the sum was invested at 10% simple interest per annum and the remaining part at 15% simple interest per annum. If the total interest accrued to him in two years equals ₹2,400, the sum invested at 15% simple interest per annum is:

AB is the diameter of a circle with centre O. P be a point on it. If $$\angle AOP = 95^\circ$$, then
$$\angle OBP $$= ___________.

If $$\frac{\cos \beta}{\sec \alpha} = 15$$ and $$\frac{\sin \beta}{\sec \alpha} = 16$$, then the value of $$\sin^2 \beta$$ is______________.

What is the value of $$\sin 30^{\circ} + \cos 30^{\circ} + \tan 30^{\circ}$$

If $$\sec^2 \theta + \tan^2 \theta = \frac{25}{18}$$, then the value of $$\sec^4 \theta - \tan^4 \theta$$ is:

The volume of a cone is 73920 cm$$^3$$. If the height of the cone is 160cm, then find the diameter of its base.