The following observations are arranged in ascending order: 27, 31, 46, 52, x, x + 4, 71, 79, 85, 90 If the median is 64, then the value of x is: (a) 60 (b) 61 (c) 62 (d) 66

Assertion (A): A die is thrown once and the probability of getting an even number is 2/3. Reason (R): The sample space for even numbers on a die is {2, 4, 6}. (a) A is true, R is false. (b) A is false, R is true. (c) Both A and R are true. (d) Both A and R are false.

The sum invested to purchase 15 shares of nominal value ₹75 each at a discount of 20% is: (a) ₹60 (b) ₹90 (c) ₹1350 (d) ₹900

If A = and A² = , then the value of x is: (a) 2 (b) 4 (c) 8 (d) 10

The roots of the equation px² − qx + r = 0 are real and equal if: (a) p² = 4qr (b) q² = 4pr (c) −q² = 4pr (d) p² > 4qr

What must be subtracted from the polynomial x³ + x² − 2x + 1 so that the resulting polynomial is exactly divisible by (x − 3)? (a) −31 (b) −30 (c) 30 (d) 31

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.

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

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

Which of the following cannot be determined graphically for a grouped frequency distribution? (a) Median (b) Mode (c) Quartiles (d) Mean

Naveen deposits ₹800 every month in a recurring deposit account for 6 months. If he receives ₹4884 at the time of maturity, then the interest he earns is: (a) ₹84 (b) ₹42 (c) ₹24 (d) ₹284

The volume of a cylinder of height 3 cm is 48π cm3. The radius of the cylinder is: (a) 48 cm (b) 16 cm (c) 4 cm (d) 24 cm