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Year

CAT 2022

Section

Data

Topic

Caselets

Difficulty

Hard

Question

Slot-1

Read the passage and answer the questions below.

Passage:

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 2,3,5,7,112,3,5,7,11, 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)=1000 \times(2 \times 5 \times 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.

Question 1

How many tokens did Qahira receive?

Question 2

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

Pragnyaa

Rasheeda

Qahira

Tantra

Question 3

How many tokens did Chhaya award?

Question 4

How many tokens did Smera receive?

Question 5

Which of the following could be the amount of funding that Tantra received?

(a) Rs. 66,000

(b) Rs. 165,000

Neither (a) nor (b)

Only (b)

Only (a)

Both (a) and (b)

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