In a tehsil the numbers of people are as follows : Children Adults Old250 450 200The angle subtended at the centre in a pie diagram, corresponding to the children is

The correct answer is (a) 114°.

The angle subtended at the centre in a pie diagram is equal to the ratio of the number of people in a group to the total number of people, multiplied by 360°. In this case, the number of children is 250, the total number of people is 900, so the angle subtended at the centre for children is $250 \div 900 \times 360° = 114°$.

Option (b) is incorrect because it is the angle subtended at the centre for adults. Option (c) is incorrect because it is the angle subtended at the centre for old people. Option (d) is incorrect because it is less than the actual angle subtended at the centre for children.