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 w...

(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...

(CAT 2018) 1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. The following facts are known about the satellites: 1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1. 2. The number of satellites serving all three of B, C, and S is 100. 3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 1) What best can be said about the number of satellites serving C? Must be between 450 and 725 Cannot be more than 800 Must be between 400 and 800 Must be at least 100 ...

Recruitment Test 1) 3 2) 4 3) 13 4) 14 Satellites 1) 1 2) 4 3) 1 4) 1 MATRIX 1) 4 2) 4 3) a 4) a LED television sets 1)  A 2) A 3) A 4) B   ATM 1) 7 2) 6 3) C 4) D 20 Petrol Pumps 1) C 2) A 3) C 4) A Three Institutes 1) C 2) C 3) C 4) B Formation of Committees 1) B 2) 4 3) 3 4) C

(CAT 2018) A company administers a written test comprising of three sections of 20 marks each – Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of 80) is calculated by doubling her marks in DI and adding it to the sum of her marks in the other two sections. Candidates who score less than 70% marks in two or more sections are disqualified. From among the rest, the four with the highest composite scores are recruited. If four or less candidates qualify, all who qualify are recruited. Ten candidates appeared for the written test. Their marks in the test are given in the table below: Some marks in the table are missing, but the following facts are known: 1. No two candidates had the same composite score. 2. Ajay was the unique highest scorer in WE. 3. Among the four recruited, Geeta had the lowest composite score. 4. Indu was recruited. 5. Danish, Harini, and Indu had scored the same marks the in GA. 6. I...

Healthy Bites 1. B 2. C 3. A 4. B Survey 1. A 2. A 3. A 4. A Simple Happiness index x 1. 1 2. 6 3. B 4. B 21 Employees 1. B 2. A 3. B 4. D Square Layout 1. C 2. D 3. C 4. C A new airlines company 1. C 2. C 3. 40 4. 4 Akala to Bakala 1. 2 2. B 3. 2 4. B Funky Pizzaria 1. B 2. C 3. B 4. A Tea Taster 1. 7 2. 4 3. B 4. B Eight friends 1. A 2. C 3. D 4. D TMRLI 1. 11 2. C 3. 15 4. C 7 Electives 1. C 2. D 3. D 4. A Management School 1. D 2. 19 3. 3 4. D Common Entrance Test 1. A 2. 60 3. 170 4. A Distribution of Assets 1. C  2. 2 3. B 4. 20 ChessBoard 1. C 2. D 3. C 4. C

(CAT 2017) At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently, The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms. For any dorm, the estimated repair cost (in Rs. Crores) is an integer. Repairs with estimated cost Rs. 1 or 2 Crores are considered light repairs, repairs with estimated cost Rs. 3 or 4 are considered moderate repairs and repairs with estimated cost Rs. 5 or 6 Crores are considered extensive repairs. Further, the following are known: 1. Odd-numbered dorms do not need light repair; even-numbered dorms do not need moderate repair and dorms, whose numbers are divisible by 3, do not need extensive repair. 2. Dorms 4 to 9 all need different repair costs, with Dorm 7 needing the maximum and Dorm 8 needing the minimum 1. Which of the following is NOT necessarily true? (A) Dorm 1 needs a moderate repair (B) Dorm 5 repair will cost no more than Rs. 4 Crores (C) Dorm 7 need...