Model Question Paper Mathematics Class Xii Worksheet (Page 7 of 7) in pdf

Model Question Paper Mathematics Class Xii Worksheet Page 7

contains 3 units of calcium, 20 units of iron, 4 units of cholesterol, and 3 units of

vitamin A. The diet requires atleast 240 units of calcium, atleast 460 units of iron

and atmost 300 units of cholesterol. How many packets of each food should be

used to minimize the amount of vitamin A in the diet? What is the minimum

amount of vitamin A?

36.

A doctor is to visit a patient. From the past experience, it is known that the

probabilities that he will come by train, bus, scooter or by any other means of

3 1 1

, ,

and

transport are respectively

. The probabilities that he will be late

10 5 10

1 1

, and

are

if he comes by train, bus and scooter respectively, but if he comes

4 3

by other means of transport, then he will not be late. When he arrives, he is late.

What is the probability that he comes by train.

Let a pair of dice be thrown and the random variable X be the sum of the numbers

that appear on the two dice. Find the mean or expectation of X.

37.

Find the distance between the point P (6, 5, 9) and the plane determined by points

A (3, –1, 2), B (5, 2, 4) and C (–1, –1, 6).

Model Question Paper Mathematics Class Xii Worksheet Page 7