2IIM Live session: DILR CAT 2017 Slot 1 - Videos

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9 COMMENTS

  1. Set 1:
    Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream. It has two employees Anish and Bani who prepare the items ordered by the clients. Preparation time is 10 minutes for a burger and 2 minutes for an order of ice cream. An employee can prepare only one of these items at a time. The fries are prepared in an automatic fryer which can prepare up to 3 portions of fries at a time, and take 5 minutes irrespective of the number of portions. The fryer does not need an employee to constantly attend to it, and we can ignore time taken by an employee to start and stop the fryer; thus, an employee can be engaged in preparing other items while the frying is on. However, fries cannot be prepared in anticipation of future orders.

  2. Set 1:
    Healthy Bites wishes to serve the orders as early as possible. The individual items in any orders are served as and when ready; however, the order is considered to be completely served only when all the items of that order are served.
    The following details are known:
    1.Order 1. Time: 10:00 . Order: 1 burger, 3 portions of fries, 1 order of ice cream
    2. Order 2. Time: 10:05. Order: 2 portions of fries, 1 order of ice cream
    3. Order 3. TIme: 10:07. Order: 1 burger, 1 portion of fries

  3. Set 1: Questions
    1.At what time is the order placed by client 1 completely served?
    A) 10:17 B) 10:10 C) 10:15 D) 10:20

    2.At what is the order placed by client 3 completely served?
    A) 10:35 B) 10:22 C) 10:25 D) 10:17

    Suppose the employees are allowed to process multiple orders at a time, but the preference would be to finish orders of clients who placed their orders earlier.
    3.At what time is the order placed by client 2 completely served?
    A) 10:10 B) 10:12 C) 10:15 D) 10:17

    Suppose the employees are allowed to process multiple orders at a time, but the preference would be to finish orders of clients who placed their orders earlier.
    4.Also assume that the fourth client came in only at 10:35. Between 10:00 and 10:30, for how many minutes is exactly one of the employees idle?
    A) 7 B) 10 C) 15 D) 23

  4. Set 2:
    Applicants for the doctoral programmes of Ambi Institute of Engineering (AIE) and Bambi Institute of Engineering (BIE) have to appear for a Common Entrance Test (CET). The test has three sections: Physics (P), Chemistry (C), and Maths (M). Among those appearing for CET, those at or above the 80th percentile in at least two sections, and at or above the 90th percentile overall, are selected for Advanced Entrance Test (AET) conducted by AIE. AET is used by AIE for final selection.

    For the 200 candidates who are at or above the 90th percentile overall based on CET, the following are known about their performance in CET:
    No one is below the 80th percentile in all 3 sections.
    150 are at or above the 80th percentile in exactly two sections.
    The number of candidates at or above the 80th percentile only in P is the same as the number of candidates at or above the 80th percentile only in C. The same is the number of candidates at or above the 80th percentile only in M.
    Number of candidates below 80th percentile in P: Number of candidates below 80th percentile in C: Number of candidates below 80th percentile in M = 4:2:1.

    BIE uses a different process for selection. If any candidate is appearing in the AET by AIE, BIE considers their AET score for final selection provided the candidate is at or above the 80th percentile in P. Any other candidate at or above the 80th percentile in P in CET, but who is not eligible for the AET, is required to appear in a separate test to be conducted by BIE for being considered for final selection. Altogether, there are 400 candidates this year who are at or above the 80th percentile in P.

  5. Set 2 Questions:
    1. What best can be concluded about the number of candidates sitting for the separate test for BIE who were at or above the 90th percentile overall in CET?
    A) 3 or 10 B) 10 C) 5 D) 7 or 10

    2. If the number of candidates who are at or above the 90th percentile overall and also at or above the 80th percentile in all three sections in CET is actually a multiple of 5, what is the number of candidates who are at or above the 90th percentile overall and at or above the 80th percentile in both P and M in CET? (TITA)
    3. If the number of candidates who are at or above the 90th percentile overall and also at or above the 80th percentile in all three sections in CET is actually a multiple of 5, then how many candidates were shortlisted for the AET for AIE? (TITA)

    4. If the number of candidates who are at or above the 90th percentile overall and also are at or above the 80th percentile in P in CET, is more than 100, how many candidates had to sit for the separate test for BIE?
    A) 299 B) 310 C) 321 D) 330

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