Logic

(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...

(CAT 2017) There were seven elective courses – El to E7 – running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven. However, before the start of the term, E7 was withdrawn as the instructor concerned had left the college. The students who had opted for E7 were allowed to join any of the remaining electives. Also, the students who had chosen other electives were given one chance to change their choice. The table below captures the movement of the students from one elective to another during this process. Movement from one elective to the same elective simply means no movement. Some numbers in the table got accidentally erased; however, it is known that these were either 0 or 1. Further, the following are known: 1. Before the change process there were 6 more students in E1 than in E4, but after the reshuffle, the number of students in E4 was 3 more than that in E1. 2. The number of students in E2 inc...

(CAT 2017) A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands. When an employee first joins the lab, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequence. The lab authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence. Questions 1. The lab has decided to allow a variation in the sequence of scans of the five fingers so that at most two scans (out of five) are out of place. For example, if the original sequence is Thumb (T), index finger (I), middle finger (M), ring finger (R) and little finger (L) then TLMRI is also allowed, but TMRLI is not. How many different sequences of scans are allowed for any given person’s original scan? 2. The lab has decided to allow ...