Calendar: 1896-1897 Page 700

CX FACULTY OF SCIENCE State the index law and in accordance therewith prove ρ that d' is Jav whore ρ and are positive whole numbers What would you understand 'a if ρ and were fnic- tions Calculate it if יך ρ β 1G Given 12 approximately find the value of 108T 13 Define surd and give the product of J2 and as single surd Find the square root of 223 40 21 ii VT4 21 Prove that the ratio is equal to either of or pb qd when they are equal and is intermediate to them if thej7 arc unequal Also in the latter case prove that it is exactly halfway between them if ί What are equations of identity equations of condi- tion Give examples to illustrate jrour answer Propound an arithmetical question which would be an- swered bvy solving the equation sfx 33 י Solve the equations 73 22 ii χ slx 433 iii £ fl φ β 12 f0 χ -y -z a- -b- -c One part of the cost of an article depends upon the ι quantity of material and the other part upon the amount of surface Three such articles are of the same shape but ft ft in and ft high respectively The cheapest costs £5 Is 4f and the dearest £9 lis 8r7 What does the other cost State the nature of the following series write down the