SSC CGL Tier l 2023 Question Paper Shift 1 (July 20th)

Study the bar graph carefully and answer the question that follows.
The following bar graph shows the sale of Bluetooth earphones on online market places over the years.

Find the approx. percentage increase in the sale of earphones from 2017 to 2020.

C1 and C2 are two concentric circles such that the radius of C2 is less than the radius of C1. If AB is the chord of C1 of length 12 cm, touching C2 at P, find the length of AP.

In the given figure, the length of arc AB is equal to 3 times radius r of the circle.

Find the area of sector OAB in terms of radius r.

The average age of a group of friends is 27 years. If 4 new friends whose average age is 25 years join them, the average age of the entire group becomes 26 years. How many people were there in the group initially?

Simplify the expression $$\frac{l^2 - m^2}{(1 + m)^2}$$, provided $$(1 + m) \neq 0$$.

$$\cosec 2910^\circ + \sec 4260^\circ + \tan 2565^\circ + \cot 1755^\circ = ?$$

If $$(a^3 + b^3 + c^3 - 3abc) = 405$$, and $$(a + b + c) = 15$$, find the value of $$(a - b)^2 + (b - c)^2 + (c - a)^2$$.

Radhika owns 2 dogs, 3 rabbits and 4 parrots as pets. What is the ratio of the number of rabbits to the total number of pets Radhika owns?

PT is a tangent to a circle whose centre is 0 , and where T is a point on the circle. If PT = 12 cm and PO= 13 cm, then find the radius of the circle.

A and B can individually complete a piece of work in l8 days and 30 days, respectively. A and B stru1ed working together, but A left $$16 \frac{2}{3}$$ days before the work is completed and B alone comple1ed the rest of the work. For how many days did A work ?