If x²+y²+z² = xy + yz + zx, then the value of $${3x^4+7y^4+5z^4}\over{5x^2y^2+7y^2z^2+3z^2x^2} $$ is

A job can be completed by 12 men in 12 days. How many extra days will be needed to complete the job if 6. men leave after working for 6 days? 

The cost price of two items P and Q are equal. If item P sold at 40% profit and item Q sold at 20% less than the selling price of item P, then the total profit is ?

Three containers contain mixture of milk and water in the ratio 5 : 3,2 : 1 and 7 : 5 respectively . The measurement of containers are in the ratio 4 : 5 : 6. Mixture of all the containers are mixed to get a new mixture . Find the ratio of water and milk in the new mixture . 

The sum of two numbers is 232 and their HCF is 29. What is the numbers of such pairs of numbers satisfied the above condition?

A cricketer had a certain average of runs for his 64 innings. In his 65th innings, he is bowled out for no score on his part. This brings down his average by 2 runs. His new average of runs is: 

A cow was sold at 8% profit. If it were bought at 20% less and sold at 40% profit, then the owner would gain ₹ 640 more. Find the initial cost price of the cow.

The ratio of Ram, Shyam, and Mohan's Working speed is 2: 3: 5 if they get Rs 40,000 for some work. Then find the share of Shyam(in Rupees)?