Two oxides of a metal contains 27.6% and 30% of oxygen respectively . If the formula of the first compund is `M^(3)O^(4)` . Find the formula of the second compound.

An organic compound on analysis gave the following percentage composition of C= 57.8, H= 3.6 and the rest is oxygen. Vapour density of the compound is 83. Find out the molecular formula of the compound.

Two finite sets have m and n elements respectively . The total number of subsets of first set is 56 more than the total number of subsets of the second. Find the values of m and n.

A compound on analysis gave the following results C = 54.54% , H=9.09% and rest is oxygen and vapour density of the compound = 88. Determine the molecular formula of the compound.

A manufacturer has three machine operators A, B and C. The first operator A produces 1% defective items, where as the other two operators B and C produce 5% and 7% defective items respectively. A is on the job for 50% of the time, B is on the job for 30% of the time and C is on the job for 20% of the time. A defective item is produced, what is the probability that it was produced by A?

ln a tape recorder factory, three machines A, B and C produced 40%, 30% and 20% of total production. The percentage of the defective output of these machines are 2%, 3% and 4% respectively. A tape recorder is selected at random and found to be defective. Find the probability that tape recorder is produced by machine C.

A certain non-volatile electrolyte contain 40% carbon, 6.7% hydrogen and 53.3% oxygen.An aqueous solution containing 5% by mass of the solute boils at 100.15^(@) C. Determine molecular formula of the compound( K_(b) =0.51^(@)C//m ):

An organic substance containing carbon, hydrogen and oxygen gave following percentages, C= 40.68%, H_(2) = 5.085% and O_(2) = 54.22%. The vapour density of the compound is 59. Calculate the molecular formula of the compound.

A compound is formed by two elements M and N. The elements N forms ccp and M atom occupy 1/3 of the tetrahedral voids. What is the formula of the compound?