Logic

(CAT 2018)   The multi-layered pie-chart below shows the sales of LED television sets for a big retail electronics outlet during 2016 and 2017. The outer layer shows the monthly sales during this period, with each label showing the month followed by sales figure of that month. For some months, the sales figures are not given in the chart. The middle-layer shows quarter-wise aggregate sales figures (in some cases, aggregate quarter-wise sales numbers are not given next to the quarter). The innermost layer shows annual sales. It is known that the sales figures during the three months of the second quarter (April, May, June) of 2016 form an arithmetic progression, as do the three monthly sales figures in the fourth quarter (October, November, December)of that year.     1. What is the percentage increase in sales in December 2017 as compared to the sales in December 2016? 28.57 22.22 50.00 38.46   2. In which quarter of 2017 was the percentage increase in sales fro

(CAT 2018) You are given an n×n square matrix to be filled with numerals so that no two adjacent cells have the same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has three cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it.   1) What is the minimum number of different numerals needed to fill a 3×3 square matrix?    2) What is the minimum number of different numerals needed to fill a 5×5 square matrix?   3) Suppose you are allowed to make one mistake, that is, one pair of adjacent cells can have the same numeral. What is the minimum number of different numerals required to fill a 5×5 matrix? a) 4 b) 16 c) 9 d) 25   4) Suppose that all the cells adjacent to any particular cell must have different numerals. What is the minimum number of different numerals