A 30-year old man with a history of no prior immunization steps on nail while walking in his courtyard . Which immunization is required?

The rate at which monthly salary of a person increases annually is in A.P. If he was drawing $4500 p.m. in his 1 1th year of service and $ 6900 p.m. in his 27th year of service, find salary at start and annual increment. Also find monthly salary after 30 years.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : The ages of two friends A and B differ by 3 years, A's father D is twice as old as A, and B is twice old as his sister C. The ages of C and D differ by 30 years. Find ages of A and B if A is elder than B.

A manufacturer considers that men and women are equally efficient and so he pays them at the same rate. He has 30 and 27 units of workers ( male and female) and capital respectively, which he uses to produce two types of goods A and B. To produce one unit of A 2 workers and 3 units of capital are required while 3 workers and 1 unit of capital are required to produce one unit of B. If A and B are priced at Rs 100 and Rs 120 per unit respectively, how should he use his resources to maximise the total revenue? From the above as as LPP and solve graphically. Do you agree with this view of the manufacturer that men and women are equally efficient and so should be paid at the same rate?

A man of height 2m walks at a uniform speed of 5km/h away from a lamp post which is 6m high. Find the rate at which the length of his shadow increases.

A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again by 5 steps forward and 3 steps backward, and so on. Each step is 1 in long and requires 1 s. Plot the x-t graph of his motion. Determine graphically and otherwise how long the drunkard takes to fall in a pit 13 m away from the start.

A man 2m high walks at a uniform speed of 6k/h away from a lamp ost 6 metres high. Find the rate at which the length of his shadow increases.