If in a cricket match A makes 35 runs, and C and D make respectively half and a third of B’s score, and if B scores as many less than A as C scores more than D, B made 30, C 15, and D 10 runs.
158.
The least number which, divided by 2, 3, 4, 5, 6, 7, 8, 9, or 10, leaves remainders 1, 2, 3, 4, 5, 6, 7, 8, 9, is 2519, their least common multiple less 1.
159.
A square table standing on four legs, which are set at the middle points of its sides, can at most uphold its own weight upon one of its corners.
160.
The division of ninety-nine pennies, so that share 1 exceeds share 2 by 3, is less than share 3 by 10, exceeds share 4 by 9, and is less than share 5 by 16, is 17, 14, 27, 8, and 33.