How is a steel wheel mounted on an axle to fit exactly.

The wheel of a bullock cart has a diameter of 1.4 m. How many rotations will the wheel complete as the cart travels 1.1 km ?

By how much will a steel bar one metre long expand when heated from 25^@C to 55^@C ? The coefficient of volume expansion of steel is 3 xx 10^-5//^@C .

How many numbers between 100 and 1000 have the digit 7 exactly once?

There are 3 wicketkeepers and 5 bowlers among 22 cricket players. A team of 11 players is to be selected so that there is exactly one wicketkeeper and at least 4 bowlers in the team. How many different teams can be formed?

A college awarded 38 medals to volly ball, 15 in football and 20 in basket ball. The medals awarded to a total of 58 payers and only 3 players got medals in all three sports. How many received medals in exactly two of the three sports?

Four cards are drawn from a pack of 52 playing cards. In how many different ways can this be done? How many selections will contain (i) exactly one card of each suit? (ii) all cards of the same suit? (iii) all club cards? (iv) at least one club card? (v) three kings and one queen? (vi) three black and one red card?