Monday, December 29, 2014

inequality, JMO

How many positive integer values can x take that satisfy the inequality 
(x - 8) (x - 10) (x - 12).......(x - 50) < 0

factors and number

If the sum of the factors of a number is 124. What is the number?

Tuesday, December 16, 2014

mixtures

Nanu bought two varieties of rice, costing 50 Rs/kg and 60 Rs/kg each, and mixed them in some ratio. Then he sold the mixture at 70 Rs/kg, making a profit of 20 percent. What was the ratio of the mixture?

ratio and proportion

The ratio of marks obtained by Nanu and Bhanu is 6:5. If the combined average of their percentage is 68.75 and their sum of the marks is 275, find the total marks for which exam was conducted. 

ratio and proportion

Two alloys A and B are composed of two basic elements p and q. The ratios of the compositions of the two basic elements in the two alloys are 5:3 and 1:2, respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio 4:3. What is the ratio of the composition of the two basic elements in alloy X?

ratio and proportion, ipm, mtse

A house has dogs, cats and parrot in the ratio of 3:7:5. If the number of cats was more than the number of dogs by a multiple of both 9 and 7 then what is the minimum of pets in the house possible?