Calendar: 1855-1856 Page 372

GENERAL LITERATURE AND SCIENCE II -algebra ant Cngonomttri The sum of the fractions which having for their denomi- nator lie between 10 and 100 900 Find the three values of χ which satisfy the equation χ χ -j----- ---- χ χ Two pedestrians started from the same point at the same time to walk 000 yards and back one walks 135 yards the other 125 yards in minute what distance will they have walked before they again start together from the same place Find from the equations xy ζ buys sheep at 36 each and pigs for each and sells lambs for he lays out 50 and increases his farming stock by 50 head How many of each did he buy and sell Compare the sum of the even with the sum of the odd numbers in the first 000 natural numbers and the sum of all the fractions having unity for the numerator and even numbers for the denominators with the sum of those that have odd numbers for the denominators Show that- 2x ----- -y -- where ζ ν χ Vx Jax Find number χ so that χ and χ may be both squares Find the solid content of log of wood 15 feet long feet inches wide and feet 2h inches thick and if it be sawed into planks an inch thick find its value at 0d square foot 10 If two numbers Ρ and contain ρ and digits re- spectively their product will contain jD or ρ ρ 11 If be fraction and any approximating fraction the difference between and is always less than by O1