Logic

Three stretch race 1. c 2. b 3. c Average of Class 1. d 2. c 3. c News Channel Viewership 1. c 2. a 3. d Holiday Resort 1. c 2. c Time Difference 1. b 2. a 3. a Burglary 1. c 2. b

(CAT 1997) A certain race is made up of three stretches: A, B and C, each 2 km long, and to be covered by a certain mode of transport. The following table gives these modes of transport for the stretches, and the minimum and maximum possible speeds (in km/hr) over these stretches. The speed over a particular stretch is assumed to be constant. The previous record for the race is 10 min.                                  Min.   Max. A Car                         40    60 B Motorcycle             30    50 C Bicycle                   10    20 1. Anshuman travels at minimum speed by car over A and completes stretch B at the fastest speed. At what speed should he cover stretch C in order to break the previous record...

(CAT 1997) There are 60 students in a class. These students are divided into three groups A, B and C of 15, 20 and 25 students each. The groups A and C are combined to form group D. 1. What is the average weight of the students in group D? a. More than the average weight of A  b. More than the average weight of C c. Less than the average weight of C  d. Cannot be determined 2. If one student from group A is shifted to group B, which of the following will be true? a. The average weight of both groups increases b. The average weight of both the groups decreases c. The average weight of the class remains the same d. Cannot be determined 3. If all the students of the class have the same weight, then which of the following is false? a. The average weight of all the four groups is the same b. The total weight of A and C is twice the total weight of B c. The average weight of D is greater than the average weight of A d. The average weight of ...

(CAT 1997) A survey of 200 people in a community who watched at least one of the three channels — BBC, CNN and DD — showed that 80% of the people watched DD, 22% watched BBC and 15% watched CNN. 1. What is the maximum percentage of people who can watch all the three channels? a. 12.5%  b. 8.5%  c. 15%  d. Data insufficient 2. If 5% of people watched DD and CNN, 10% watched DD and BBC, then what percentage of people watched BBC and CNN only? a. 2%  b. 5%  c. 8.5%  d. Cannot be determined 3. Referring to the previous question, what percentage of people watched all the three channels? a. 3.5%  b. 0%  c. 8.5%  d. Cannot be determined For Answers   click here .

(CAT 1997) The Weirdo Holiday Resort follows a particular system of holidays for its employees. People are given holidays on the days where the first letter of the day of the week is the same as the first letter of their names. All employees work at the same rate. 1. Raja starts working on February 25, 1996, and finishes the job on March 2, 1996. How much time would T and J take to finish the same job if both start on the same day as Raja? a. 4 days  b. 5 days  c. Either (a) or (b)  d. Cannot be determined 2. Starting on February 25, 1996, if Raja had finished his job on April 2, 1996, when would T and S together likely to have completed the job, had they started on the same day as Raja? a. March 15, 1996  b. March 14, 1996  c. March 22, 1996  d. Data insufficient For Answers   click here .

(CAT 1997) Boston is 4 hr ahead of Frankfurt and 2 hr behind India. X leaves Frankfurt at 6 p.m. on Friday and reaches Boston the next day. After waiting there for 2 hr, he leaves exactly at noon and reaches India at 1 a.m. On his return journey, he takes the same route as before, but halts at Boston for 1hr less than his previous halt there. He then proceeds to Frankfurt.  1. If his journey, including stoppage, is covered at an average speed of 180 mph, what is the distance between Frankfurt and India? a. 3,600 miles  b. 4,500 miles  c. 5,580 miles  d. Data insufficient 2. If X had started the return journey from India at 2.55 a.m. on the same day that he reached there, after how much time would he reach Frankfurt? a. 24 hr  b. 25 hr  c. 26 hr  d. Data insufficient 3. What is X's average speed for the entire journey (to and fro)? a. 176 mph  b. 180 mph  c. 165 mph  d. Data insufficient ...

(CAT 1997) A thief, after committing the burglary, started fleeing at 12 noon, at a speed of 60 km/hr. He was then chased by a policeman X. X started the chase, 15 min after the thief had started, at a speed of 65 km/hr. 1. At what time did X catch the thief? a. 3.30 p.m. b. 3 p.m. c. 3.15 p.m. d. None of these 2. If another policeman had started the same chase along with X, but at a speed of 60 km/hr, then how far behind was he when X caught the thief? a. 18.75 km b. 15 km c. 21 km d. 37.5 km For Answers   click here .