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DILR

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Live Class DILR

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DILR: May '25 to Jun '25
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CAT 2025 Lesson : DILR: May '25 to Jun '25 - DILR Live Class - 01 May 2025

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Read the following and answer the Questions that follow

Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only.

Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 × (2 × 5 × 7) = Rs.70,000. Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000.

The following additional facts are known:
1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa.
2. Rashida received the highest number of tokens that anyone received, but she did not receive one from Esther.
3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

1) How many tokens did Qahira receive?

Answer:


2) Who among the following definitely received a token from Bithi but not from Dhanavi?

(1) Rasheeda
(2) Pragnyaa
(3) Qahira
(4) Tantra


3) How many tokens did Chhaya award?

Answer:


4) How many tokens did Smera receive?

Answer:


5) Which of the following could be the amount of funding that Tantra received?
(a) Rs. 66,000
(b) Rs. 165,000

(1) Neither (a) nor (b)
(2) Only (b)
(3) Only (a)
(4) Both (a) and (b)


Read the following and answer the questions

There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0, 1, 2 or 3.

The following facts are also known:

1. There was at least one new case in every neighbourhood on Day 1.
2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day 3 was exactly one more than that on Day 2.
4. The maximum number of new cases in a day in Pesmisto was 2, and this happened only once during the five-day period.
5. Kitmisto is the only place to have 3 new cases on Day 2.
6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were 12, 12, 5 and 14 respectively.

6) What BEST can be concluded about the total number of new cases in the city on Day 2?

(1) Exactly 8
(2) Either 7 or 8
(3) Either 6 or 7
(4) Exactly 7

7) What BEST can be concluded about the number of new cases in Levmisto on Day 3?

(1) Exactly 2
(2) Either 0 or 1
(3) Either 2 or 3
(4) Exactly 3

8) On which day(s) did Pesmisto not have any new case?

(1) Only Day 2
(2) Only Day 3
(3) Both Day 2 and Day 3
(4) Both Day 2 and Day 4

9) Which of the two statements below is/are necessarily false?
Statement A: There were 2 new cases in Tyhrmisto on Day 3.
Statement B: There were no new cases in Pesmisto on Day 2.

(1) Neither Statement A nor Statement B
(2) Both Statement A and Statement B
(3) Statement A only
(4) Statement B only

10) On how many days did Levmisto and Tyhrmisto have the same number of new cases?

(1) 4
(2) 5
(3) 3
(4) 2

Read the following and answer the questions that follow

Six players – Tanzi, Umeza, Wangdu, Xyla, Yonita and Zeneca competed in an archery tournament. The tournament had three compulsory rounds, Rounds 1 to 3. In each round every player shot an arrow at a target. Hitting the centre of the target (called bull’s eye) fetched the highest score of 5. The only other possible scores that a player could achieve were 4, 3, 2 and 1. Every bull’s eye score in the first three rounds gave a player one additional chance to shoot in the bonus rounds, Rounds 4 to 6. The possible scores in Rounds 4 to 6 were identical to the first three.

A player’s total score in the tournament was the sum of his/her scores in all rounds played by him/her. The table below presents partial information on points scored by the players after completion of the tournament. In the table, NP means that the player did not participate in that round, while a hyphen means that the player participated in that round and the score information is missing.



The following facts are also known.

1.Tanzi, Umeza and Yonita had the same total score.
2.Total scores for all players, except one, were in multiples of three.
3.The highest total score was one more than double of the lowest total score.
4.The number of players hitting bull’s eye in Round 2 was double of that in Round 3.
5.Tanzi and Zeneca had the same score in Round 1 but different scores in Round 3.

11) What was the highest total score?

(1) 25
(2) 21
(3) 23
(4) 24


12) What was Zeneca's total score?

(1) 21
(2) 24
(3) 23
(4) 22


13) Which of the following statements is true?

(1) Zeneca was the highest scorer.
(2) Xyla was the highest scorer.
(3) Zeneca’s score was 23.
(4) Xyla’s score was 23.


14) What was Tanzi's score in Round 3?

(1) 1
(2) 4
(3) 5
(4) 3


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