The solution set for -3 < x - 2 ≤ 9, x ∈ Z (integers) is :

1. {0, 1, 2, 3, 4, ………, 11}

2. {1, 2, 3, 4, ……., 10}

3. {-1, 0, 1, 2, 3, ……, 10}

4. {1, 2, 3, 4, 5, ……., 11}

If 55% of the population of a small town is purely vegetarian, 36% of the population is purely non-vegetarian and the rest are both. The probability, that a person chosen at random from the town is vegetarian and non-vegetarian both, will be :

1. 0.91

2. 0.55

3. 0.36

4. 0.09

Line 3x + 4y = 24 meets x-axis at point A and y-axis at point B. If the point P divides line segment AB internally in the ratio 2 : 1, the co-ordinates of point P are :

1. (3, 4)

2. (4, 3)

3. $\Big(4, 2\dfrac{2}{3}\Big)$

4. $\Big(2\dfrac{2}{3}, 4\Big)$

In the adjoining figure, AB is diameter of the given circle and ∠BAD = 60°, then the value of x is :

1. 30°

2. 60°

3. 45°

4. 20°