DILR Sets (with Video solutions) - Shashank Prabhu, CAT 100 Percentiler - Part 3


  • CAT 100%iler, 5 times AIR 1, Director - Learningroots, Ex ITC, Pagalguy, TAS


    Set 7

    On Baker street, there is a fresh colony formed with 40 houses numbered from 1 to 40. Sherlock and John being friends have decided to put together their life’s earnings into buying 3 houses each. There could be a few houses that are owned jointly by both Sherlock and John. The numbers written on houses owned by Sherlock are in an arithmetic progression whereas, the numbers written on the houses owned by John are in a geometric progression. The ratio of the sum of numbers written on houses owned by Sherlock to the product of numbers written on houses owned by John, is 8:9.

    1. If the product of the numbers written on the houses owned by John is the minimum, then what is the sum of the numbers written on the houses owned by John?

    2. If the product of the numbers on the houses owned by John is the minimum, then what would be the median of the house numbers owned by Sherlock?

    3. How many of the following values can be the sum of all the houses owned by John?
      a. 7
      b. 13
      c. 21
      d. 26
      e. 43

    Video Solution

    Set 8

    An apartment building has five floors. Each floor has either one or two apartments. There are exactly eight apartments in the building. The residents of the building are J, K, L,M, N, O, P, and Q, who each live in a different apartment.

    a) J lives on a floor with two apartments
    b) K lives on the floor directly above P
    c) The second floor is made up of only one apartment
    d) M and N live on the same floor
    e) O does not live on the same floor as Q
    f) L lives in the only apartment on her floor
    g) Q does not live on the first or second floor

    1. If O lives on the second floor, which one of the following CANNOT be true?
      a) K lives on the fourth floor.
      b) K lives on the fifth floor.
      c) L lives on the first floor.
      d) L lives on the third floor.
      e) L lives on the fourth floor.

    2. If M lives on the fourth floor, which one of the following must be false?
      a) O lives on the fifth floor.
      b) J lives on the first floor.
      c) L lives on the second floor.
      d) Q lives on the third floor.
      e) P lives on the first floor.

    3. Which one of the following must be true?
      a) If J lives on the fourth floor, then Q does not live on the fifth floor.
      b) If O lives on the second floor, then L does not live on the fourth floor.
      c) If N lives on the fourth floor, then K does not live on the second floor.
      d) If K lives on the third floor, then O does not live on the fifth floor.
      e) If P lives on the fourth floor, then M does not live on the third floor.

    4. If O lives on the fourth floor and P lives on the second
      floor, which one of the following must be true?
      a) L lives on the first floor.
      b) M lives on the third floor.
      c) Q lives on the third floor.
      d) N lives on the fifth floor.
      e) Q lives on the fifth floor.

    Video Solution:

    Set 9

    Mr. WB being the shrewd investor he is, had planned to invest in a few companies across various sectors on 26th September 2016. He selected the best performing two companies from each of IT, Automobile and Banking for this plan. While he was successful at the end of it, he was pretty bad at representing information and so, he hired Mr. Murphy as his Excel expert who inevitably messed up the names of the companies and wrote a ton of gibberish. The values were correct but the names weren’t. The following was the output:

    0_1506492132517_b7dd52d0-103f-4a12-98f1-f82ed828ebc1-22045911_10213399532318335_3025680578865140142_n.jpg

    He knew the companies’ performance at the back of hand though and so, made certain observations. However, he was not great at calculations and so, he has hired you, Mr. WIMWI to help him crack the code! Can you do it? For all questions, assume that WB purchased shares only in multiples of 10.

    1. If the two IT companies showed the two largest absolute variations in the share prices and the two Automobile companies showed the two least absolute variations, what was the approximate growth Mr. WB would have seen from the shares of the two Banking companies? (answer should be accurate up to two digits after the decimal point)

    2. If Mr. WB had purchased a total of 60 shares of exactly 4 of the 6 companies, then the maximum possible percentage return on investment as on 26 September 2017 based on the shares of these 4 companies only could be (answer should be accurate up to two digits after the decimal point)

    3. If one of the two IT companies showed the highest percentage variation in the share price while the other IT company showed the lowest percentage variation, then what was the combined percentage change in the share prices of the two IT companies? (answer should be accurate up to two digits after the decimal point)

    4. If Mr. WB had purchased a total of 40 shares of exactly 4 of the 6 companies, what could be the minimum possible percentage return that he would have got? (answer should be accurate up to two digits after the decimal point)

    Video Solution:


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