SSC CGL 17th August 2021 Shift-1

Ina circle with centre O, PAX and PBY are the tangents to the circle at points A and B, from an external point P. Q is any point on the circle such that $$\angle QAX = 59^\circ$$ and $$\angle QBY = 72^\circ$$. What is the measure of $$\angle AQB$$?

By selling an article for 640, a person loses 15% ofits selling price. At whatprice (in 2) should he sell it to gain 15% on its cost price?

Study the following table and answer the question:
Number of students enrolled for Vocational Courses (VC) in institutes A, B, C, D, E & F.

The ratio of the total number of students enrolled for VC in institutes A, C and E in 2015 to the total number of students enrolled in institutes B and D in 2017, is:

The marked price ofan article is ₹1500. A shopkeeper sells it by giving 20% discount on its marked price.If the cost price ofthe article is ₹991, then his profit(in ₹) is:

$$(\sqrt{\sec^2 \theta + \cosec^2 \theta})\left(\frac{\sin \theta(1 + \cos \theta)}{1 + \cos \theta - \sin^2 \theta}\right), 0^\circ < \theta < 90^\circ$$ is equal to:

If $$x + y + z = 7, x^2 + y^2 + z^2 = 85$$ and $$x^3 + y^3 + z^3 = 913$$, then the value of $$\sqrt[3]{xyz}$$ is:

A takes 8 hours more than the time taken by B to covera distance of 160 km. IfA doubles his speed, he takes 3 hours more than B to cover the same distance. The speed (in km/h) of is:

The curved surface area of a cylinder is 462 cm$$^2$$ and its base area is 346.5 cm$$^2$$ . What is the volume (in cm$$^3$$) of the cylinder? (Use $$\pi = \frac{22}{7}$$)

If the seven-digit number 94x29y6is divisible by 72, then what is the value of (2x + 3y) for $$x \neq y$$?

The average of 8 consecutive even numbers written in ascending order is 17. What is the average ofthe last three numbers, 36 and 53?