IMO- Mathematics Olympiad Class 10: Questions 534 - 538 of 958

A dishonest dealer professes to sell his goods at cost price. But he uses a false weight and thus gains. For a kg, he uses a weight of ________

Mihir has 125 small cubes of . He wants to arrange all of them in a cuboidal shape, such that the surface area will be minimum. What is the diagonal of this larger cuboid?

The sides of a rectangular field are in the ratio . If the area of the field is 13, 500 sq. m, the cost of fencing the field 50 paise per meter is ________

In a certain office, of the workers is women, of the women is married and of the married women have children. If of the men are married and of the married men have children, what parts of workers are without children?

One fourth of a head of Camel is in the forest. Twice the square root of the head has gone to mountains, and of the remaining, 20 are on the bank of a river. The total number of cows is ________