SSC CGL 13th Dec 2022 Shift-1

If $$\sec^2 A + \tan^2 A = 3$$, then what is the value of $$\cot A$$?

If the numerical value of twice the curved surface area of a right circular cylinder is equal to the numerical value of its volume, then what is the numerical value of the radius of the base of the cylinder?

If $$K + \frac{1}{K} + 2 = 0$$ and K < 0, then what is the value of $$K^{11} + \frac{1}{K^4}$$?

An article costs Rs.4,000 to a shopkeeper, who marks its price at Rs.8,400. The shopkeeper sells it to a customer at a discount of 25%. The customer gets a further discount of 15% on the discounted price if the customer redeems a coupon issued by the store previously. What is the profit percentage (to the nearest integer) earned by the shopkeeper in this transaction?

The circumference of the two circles is 110 cm and 330 cm respectively. What is the difference between their radii?

In a 1000 m race, Arjun, Balaji and Charan are running. Arjun beats Balaji by 100 m, and Balaji beats Charan by 100 m. In the next 1000 m race (the speeds are the same as in the previous), Balaji gives Charan a head start of 100 m, and Arjun gives Balaji a head start of 100 m. Find the distance by which the winner is ahead of the person just behind him.

In $$\triangle PQR, \angle Q = 90^\circ, PQ = 8$$ cm and $$\angle PRQ = 45^\circ$$. Find the length of QR.

Salaries of Rida and Riya are in the ratio of 3 : 5, respectively. If the salary of each one is increased by Rs.5,000, then the new ratio becomes 5 : 7. What is Riya’s present salary?

The table given below shows the number of working days of a company in 5 years.

What are ratio of number of working days in year R to the number of working days in year T?

The bar graph given below shows the percentage distribution of the total production of six different types of cars by a car manufacturing company over 2 years.

If 75% of the T type cars produced in each year were sold by the company, how many T type cars remain unsold?