LRDI Prep for CAT

Tag: PYQ CAT

  • Day 2 – Set 1

    First read through the directions and then we will add our inputs.

    A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.

    The following additional facts are known.

    1. A and B are to be placed in consecutively numbered shelves in increasing order

    2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.

    3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.

    4. K is to be placed in shelf number 16.

    5. L and J are items of the same type, while H is an item of a different type.

    6. C is a candy and is to be placed in a shelf preceded by two empty shelves.

    7. L is to be placed in a shelf preceded by exactly one empty shelf.

    These are the complete directions and then there are questions after this, which we will give after the following note.

    This set will get categorised as an ‘arrangement’ kind. However notice how the conditions of this set quite apart from a typical standard arrangement that one may have in mind. Firstly, there are some empty positions. Next, objects are of certain types, each type having different number of objects. So we have to arrange the objects in the shelfs and at same time also identify their types. Given conditions (‘all of a type are together’ or that ‘consecutive empty shelves can be almost 2’) are not standard conditions and will change from set to set. So to say that all ‘arrangement’ sets fit in a specific frame-work is a bit naive.

    Next, having read the directions and the clues, think if you really needed any prior theory to understand the settings or any of the clue. Is there any clue that needed specialised know-how, other than English language comprehension? Can any one fore-prepare for an ‘exact’ situation like this?

    Now, glance at the questions, given below. At the very least, the questions will tell you if there is a unique arrangement OR will there be multiple possibilities. And if you are lucky, the questions sometimes will help in giving further clues.

    One should always have a look at the questions before tackling the set head-on.

    Q. 1

    In how many different ways can the items be arranged on the shelves?

    1. 2
    2. 8
    3. 4
    4. 1

    Q. 2

    Which of the following items is not a type of biscuit?

    1. G
    2. B
    3. L
    4. A

    Q. 3

    Which of the following can represent the numbers of the empty shelves in a possible arrangement?

    1. 1,7,11,12
    2. 1,5,6,12
    3. 1,2,6,12 
    4. 1,2,8,12

    Q. 4

    Which of the following statements is necessarily true?

    1. There are two empty shelves between the biscuits and the candies.
    2. All biscuits are kept before candies.
    3. There are at least four shelves between items B and C
    4. All candies are kept before biscuits.
    Hint

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    Answer

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    Explanation

    LOD:

    ETS:

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  • Day 1 – Ex 1 – Q 16

    Q. 16/16

    A king has unflinching loyalty from eight of his ministers M1 to M8, but he has to select only four to make a cabinet committee. He decides to choose these four such that each selected person shares a liking with at least one of the other three selected. The selected persons must also hate at least one of the likings of any of the other three persons selected.

    M1 likes fishing and smoking, but hates gambling.

    M2 likes smoking and drinking, but hates fishing.

    M3 likes gambling, but hates smoking,

    M4 likes mountaineering, but hates drinking,

    M5 likes drinking, but hates smoking and mountaineering.

    M6 likes fishing, but hates smoking and mountaineering.

    M7 likes gambling and mountaineering, but hates fishing.

    M8 likes smoking and gambling, but hates mountaineering.

    Who are the four people selected by the king?

    1. M1, M2, M5 and M6
    2. M3, M4, M5 and M6
    3. M4, M5, M6 and M8
    4. M1, M2, M4 and M7
    Hint

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    Answer

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    Explanation

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    That’s it for Day 1. Tomorrow we will solve 3 sets from recent CATs, which will give you an idea of the toughness level asked these years.

  • Day 1 – Ex 1 – Q 15

    Q. 15/16

    In a ‘keep-fit’ gymnasium class there are 15 females enrolled in a weight-loss programme. They all have been grouped in any one of the five weight-groups W1, W2, W3, W4, or W5. One instructor is assigned to one weight-group only. Sonali, Shalini, Shubhra and Shahira belong to the same weight-group. Sonali and Rupa are in one weight-group, Rupali and Renuka are also in one weight-group. Rupa, Radha, Renuka, Ruchika, and Ritu belong to different weight-groups. Somya cannot be with Ritu, and Tara cannot be with Radha. Komal cannot be with Radha, Somya, or Ritu. Shahira is in W1 and Somya is in W4 with Ruchika. Sweta and Jyotika cannot be with Rupali, but are in a weight- group with total membership of four. No weight-group can have more than five or less than one member. Amita, Babita, Chandrika, Deepika and Elina are instructors of weight-groups with membership sizes 5, 4, 3, 2 and 1 respectively. Who is the instructor of Radha?

    1. Babita
    2. Elina
    3. Chandrika
    4. Deepika
    Hint

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    Answer

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    Explanation

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  • Day 1 – Ex 1 – Q 14

    Q. 14/16

    Four friends Ashok, Bashir, Chirag and Deepak are out for shopping. Ashok has less money than three times the amount that Bashir has. Chirag has more money than Bashir. Deepak has an amount equal to the difference of amounts with Bashir and Chirag. Ashok has three times the money with Deepak. They each have to buy at least one shirt, or one shawl, or one sweater, or one jacket that are priced Rs. 200, Rs. 400, Rs. 600, and Rs. 1,000 a piece respectively. Chirag borrows Rs. 300 from Ashok and buys a jacket. Bashir buys a sweater after borrowing Rs. 100 from Ashok and is left with no money. Ashok buys three shirts. What is the costliest item that Deepak could buy with his own money?

    1. A shirt
    2. A shawl
    3. A sweater
    4. A jacket
    Hint

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    Answer

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    Explanation

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  • Day 1 – Ex 1 – Q 13

    Q. 13/16

    I have a total of Rs. 1,000. Item A costs Rs. 110, item B costs Rs. 90, item C costs Rs. 70, item D costs Rs. 40 and item E costs Rs. 45. For every item D that I purchase, I must also buy two of item B. For every item A, I must buy one of item C. For every item E, I must also buy two of item D and one of item B. For every item purchased I earn 1,000 points and for every rupee not spent I earn a penalty of 1,500 points. My objective is to maximise the points I earn.

    What is the number of items that I must purchase to maximise my points?

    1. 13
    2. 14
    3. 15
    4. 16
    Hint

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    Answer

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    Explanation

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