Calendar: 1857-1858 Page 435

THE SCHOOL 437 lix 5x3y x'y' xy3 379 and 3xsy x3y2 xy3 -y 43 find χ and If ft be in geometric progression then ft The sum of the squares of two numbers divided by their ratio equals 10 the difference of their squares multiplied by their ratio equals 24 Find the numbers passenger in railway carriage observes train moving in the opposite direction to pass him in 2" and also that another train moving in the same direction as his with the same speed as the former train but twice its length takes 40" to pass him compare the speed of the two trains Exhibit as binomial surds the square root of 12 8y3 ץ6 and the cube root of 10 If be the first and be the last of series of numbers in geometric progression prove that the continued product of the terms is 11 Find the sum to terms of χ 8a hs xa 12 There are two vessels and each containing mixture of water and wine Λ in the ratio of Β in the ratio of What quantity must be taken from each in order to form third mixture which shall contain gallons of water and 11 of wine