Calendar: 1882-1883 Page 638

general literature and science 635 Solve the following equations Sx χ χ χ Τ 42" Ϊ 28' Λ2 -J 61 χ χ 2x 3y 11 tiy 15 Went to the bank with cheque for guineas and asked to have for it exactly the same number of sovereigns half-sovereigns shillings and sixpences The clerk was puzzled What was the number Find two numbers such that one shall be just as much above 10 as the other is below it and that one-tenth of their sum is equal to one-fourth of their difference If labourer were hired for year to receive farthing for the first day halfpenny for the second three farthings for the third and so on excluding Sundays what would his wages amount to for the year Also what would he receive for the 25th week wooden pile is one-fifth of its whole length in the earth of its length in the water and 13 feet out of the water What is the length of the pile 10 Find the number of grades in an angle which is sub- tended by an arc equal in length to the radius of the circle 11 Prove that sin sin 3a sin 5a sin 3a sin 3a sin 5a -f sin sin 5a 12 If in any triangle cos cos prove that the triangle is either right-angled or isosceles Also if cos cos Β cos prove that the triangle is equilateral