If the 23rd term of an A.P. exceeds its 32nd term by -18, then its common difference is :

1. 3

2. 2

3. -2

4. 5

From a solid cylinder of height h cm and base radius r cm, a conical cavity of the same height and same radius is drilled out.

If the slant height of the conical cavity is l cm, the surface area of the remaining solid is :

1. 2πrh + πrl

2. 2πrh - πr² + πrl

3. 2πrh + πrl + πr²

4. 2πrh - πrl + πr²

The point A(5, 4) is reflected in line 2(x + 1) = 12 to point A'. The co-ordinates of point A' are :

1. (5, 4)

2. (-5, 4)

3. (-5, -4)

4. (5, -4)

If x is a positive integer and 15 - 2(2x - 1) < 15, the solution set is :

1. {-2, -1}

2. {1, 2, 3, 4, 5, ……}

3. {0, 1, 2, 3, 4, ……}

4. {1, 2, 3, 4, 5, 6}