SSC CGL 5th Dec 2022 Shift-1

Find the number of common tangents, if $$r_{1} + r_{2} = C_{1}C_{2}$$.(With usual notations, $$r_{1}$$ & $$r_{2}$$
and $$C_{1}$$ & $$C_{2}$$ are the radii and centres of the two circles.)

Which of the following pairs of non-zero values of p and q make 6-digit number 674pq0 divisible by both 3 and 11?

A policeman saw a thief from a distance of 450 m. When the policeman started chasing him, the thief also started running. The ratio of speeds of the thief to the policeman is 7 : 8. After running how much distance (in km) can the policeman catch the thief?

The length of the side of a cube is 5.6 cm. What is the volume of the largest sphere that can be taken out of the cube?

The curved surface area of the sphere is 154 $$cm^{2}$$ . Find the volume of the sphere (rounded off to one digit after decimal).

If $$X = \frac{1}{x}=-14$$, and $$x <-1$$, what will be the value of $$X^{2} - \frac{1}{x^{2}}$$

Study the given table and answer the question that follows.
The table shows the number of donuts sold by three different stores in five different months.

What is the ratio of the total number of donuts sold by stores P and R together in October to the total number of donuts sold by stores Q and R together in the same month?

0.5 is what percentage of 20?

In triangle ABC, AD is the angle bisector of angle A. If AB = 8.4 cm and AC = 5.6 cm and DC = 2.8 cm, then the length of side BC will be

A hotel is giving a discount of 12% on the booking of 2 or more rooms. Additionally, the hotel is offering a 5% discount only on payment using any card of SBI. Rakesh booked 2 rooms in the hotel for a day at the rate of Rs.1,500 per room per day. While checking out, he paid the bill using SBI Silver Card. How much amount did he have to pay?