Logic

Formation of Team 1. a 2. c 3. d 4. e 5. e Class X Result 1. c 2. a 3. a 4. d 5. e   Two traders: Chetan and Michael 1. c 2. b 3. a 4. e 5. d   Street Network 1. e 2. b,c 3. a 4. d 5. c

(CAT 2006) A significant amount of traffic flows from point S to point T in the one-way street network shown below. Points A, B, C, and D are junctions in the network, and the arrows mark the direction of traffic flow. The fuel cost in rupees for travelling along a street is indicated by the number adjacent to the arrow representing the street. Motorists travelling from point S to point T would obviously take the route for which the total cost of travelling is the minimum. If two or more routes have the same least travel cost, then motorists are indifferent between them. Hence, the traffic gets evenly distributed among all the least cost routes. The government can control the flow of traffic only by levying appropriate toll at each junction. For example, if a motorist takes the route S-A-T (using junction A alone), then the total cost of travel would be Rs 14 (i.e., Rs 9 + Rs 5) plus the toll charged at junction A. 1. If the government wants to ensure that no...

(CAT 2006) Two traders, Chetan and Michael, were involved in the buying and selling of MCS shares over five trading days. At the beginning of the first day, the MCS share was priced at Rs 100, while at the end of the fifth day it was priced at Rs 110. At the end of each day, the MCS share price either went up by Rs 10, or else, it came down by Rs 10. Both Chetan and Michael took buying and selling decisions at the end of each trading day. The beginning price of MCS share on a given day was the same as the ending price of the previous day. Chetan and Michael started with the same number of shares and amount of cash, and had enough of both. Below are some additional facts about how Chetan and Michael traded over the five trading days. 1)  Each day if the price went up, Chetan sold 10 shares of MCS at the closing price. On the other hand, each day if the price went down, he bought 10 shares at the closing price. 2)  If on any day, the closing price was above Rs 110, the...

(CAT 2006) In a Class X Board examination, ten papers are distributed over five Groups - PCB, Mathematics, Social Science, Vernacular and English. Each of the ten papers is evaluated out of 100. The final score of a student is calculated in the following manner. First, the Group Scores are obtained by averaging marks in the papers within the Group. The final score is the simple average of the Group Scores. The data for the top ten students are presented below. (Dipan's score in English Paper II has been intentionally removed in the table.) Note: B or G against the name of a student respectively indicates whether the student is a boy or a girl. 1. How much did Dipan get in English Paper II? a. 94 b. 96.5 c. 97 d. 98 e. 99 2. Among the top ten students, how many boys scored at least 95 in at least one paper from each of the groups? a. 1 b. 2 c. 3 d. 4 e. 5 3. Had Joseph, Agni, Pritam and Tirna each obtained Group Score of 100 in the Soc...

(CAT 2006) K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department, subject to the following conditions: 1. A team must include exactly one among P, R, and S. 2. A team must include either M or Q, but not both. 3. If a team includes K, then it must also include L, and vice versa. 4. If a team includes one among S, U, and W, then it must also include the other two. 5. L and N cannot be members of the same team. 6. L and U cannot be members of the same team. The size of a team is defined as the number of members in the team. 1. Who cannot be a member of a team of size 3? a. L b. M c. N d. P e. Q 2. Who can be a member of a team of size 5? a. K b. L c. M d. P e. R 3. What would be the size of the largest possible team? a. 8 b. 7 c. 6 d. 5 e. Cannot be determined 4. What could be the size of a team that includes K? a. 2 or 3 b...