SSC CGL 7th Dec 2022 Shift-2

Two concentric circles are drawn with radii 20 cm and 16 cm. What will be the length of a chord of the larger circle which is tangent to the smaller circle?

The circumference of the two circles is 308 cm and 440 cm respectively. What is the difference between their radii?

$$3[a - \frac{1}{a}] + [a - \frac{1}{a}]^{3} =$$?

How many numbers from 1 to 430 are divisible by 7 and 11 both?

In a partnership firm two partners, Vijay and Praveen are working on an ssignment. It will take 12 weeks for Vijay to complete the entire assignment alone, while Praveen will take 8 weeks to complete it alone. Due to work pressure, they decided to work on that assignment on the alternate week basis. In the first week Praveen will work and in the second week Vijay will work and so on. In how many weeks the work will be completed if they work on alternate week basis?

If 14 : 30 :: 7 : x, then what is the value of x?

A circle is inscribed in a ΔABC having sides AB = 16 cm, BC = 20 cm and AC = 24 cm, and side AB, BC and AC touches circle at D, E and F, respectively. The measure of AD is:

If $$\triangle ABC \sim \triangle DEF$$ such that 2AB = DE and BC = 8 cm, then the length of EF is:

Find the least number exactly divisible by 9,24 and 36.

If $$1 + \sin \theta = m\cos\theta$$, then what is the value of $$\sin \theta$$?