Express 22°30' in radians

State True or False: The hour hand of a clock rotates through an angle radian in 2 hours.

Radius of a circle is 7 cm. Find the angle in radians which is subtended by an arc of this circle of length 5.5 cm at the centre of the circle.

Two unequal arcs of ratio 5 : 2 of a circle subtend angle at the centre. If the second angle is 30°, find the first angle in circular measure.

The difference of acute angles of a right angled triangle is 72°. Determine these acute angles in circular measure

If A = , then A² is equal to: (a) (b) (c) (d)

Statement 1: The point which is equidistant from three non-collinear points D, E and F is the circumcentre of △DEF. Statement 2: The incentre of a triangle is the point where the bisectors of the angles intersect. (a) Both statements are true. (b) Both statements are false. (c) Statement 1 is true and Statement 2 is false. (d) Statement 1 is false and Statement 2 is true.

Mr Anuj deposits ₹500 per month for 18 months in a recurring deposit account at a certain rate. If he earns ₹570 as interest at the time of maturity, then his matured amount is: (a) ₹(500 × 18 + 570) (b) ₹(500 × 19 + 570) (c) ₹(500 × 18 × 19 + 570) (d) ₹(500 × 9 × 19 + 570)

The equation of the line passing through the origin and parallel to the line 3x + 4y + 7 = 0 is: (a) 3x + 4y + 5 = 0 (b) 4x − 3y − 5 = 0 (c) 4x − 3y = 0 (d) 3x + 4y = 0

The marked price of an article is ₹1,375. If CGST is charged at the rate of 4%, then the price of the article including GST is: (a) ₹55 (b) ₹110 (c) ₹1,430 (d) ₹1,485

If the volumes of two spheres are in the ratio 27 : 64, then the ratio of their radii is: (a) 3 : 4 (b) 4 : 3 (c) 9 : 16 (d) 16 : 9

Which of the following cannot be the probability of an event? (a) (b) 0.25 (c) (d) 67%