Find the number of rectangles and squares in an 8 by 8 chess board respectively.
Chess board consists of 9 horizontal 9 vertical lines. A rectangle can be formed by any two horizontal and two vertical lines. Number of rectangles = 9 C2 × 9 C2 = 1296. For squares there is one 8 by 8 square four 7 by 7 squares, nine 6 by 6 squares and like this number of squares on chess board = 12 +22 …..82 = 204 Only rectangles = 1296-204 = 1092
In a time-series forecasting problem, if the seasonal indices for quarters 1, 2, and 3 are 0.80, 0.90, and 0.95 respectively. What can you say about the seasonal index of quarter 4?
| Items | Rs in crore |
| Compensation of employees | 2000 |
| Rent and interest | 800 |
| Indirect taxes | 120 |
| Corporation Tax | 460 |
| Consumption of fixed capital | 100 |
| Subsidies | 20 |
| Dividend | 940 |
| Undistributed profits | 300 |
| Net factor income to abroad | 150 |
| Mixed income | 200 |
Walraw’s Law states the following:
