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CAT CAT DILR — Caselets — practice questions

Explore 14 free CAT DILR — Caselets questions in CAT Data Insights. Open each question or exercise to read its content, reference answers and available explanation.

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CAT DILR — Caselets questions and exercises with answers

Showing questions 1–14 of 14.

A, B, C, D, E sit in a row. A is two seats left of C. B is to the immediate right of A. D is at the rightmost end. Who sits in the middle (seat 3 of 5)?Read the answer and worked solution →If TODAY is FRIDAY, what day will it be 100 days from today?Read the answer and worked solution →In a year, how many months have exactly 30 days?Read the answer and worked solution →A man bought an article for ₹400 and sold it for ₹500. His profit % is:Read the answer and worked solution →If 12 men can build a wall in 15 days, how long will 18 men take?Read the answer and worked solution →If a:b = 2:3 and b:c = 4:5, then a:b:c =Read the answer and worked solution →A clock shows 3:00. What is the angle between hour and minute hands?Read the answer and worked solution →In a CAT DILR section, the recommended TIME BUDGET per caselet (4-6 questions) is approximately:Read the answer and worked solution →Before solving the first question of a CAT DILR caselet, the BEST move is:Read the answer and worked solution →A 4-team round-robin cricket tournament will have how many matches?Read the answer and worked solution →In a village survey, 70 people grow paddy, 50 grow wheat, and 20 grow both. How many grow at LEAST one of the two?Read the answer and worked solution →In a knockout tournament with 16 teams, what is the TOTAL number of matches?Read the answer and worked solution →If 30 students are distributed across 7 days of the week, at LEAST one day must have how many students or more (pigeonhole)?Read the answer and worked solution →Two dice are rolled. The probability of getting AT LEAST ONE six is:Read the answer and worked solution →

Worked practice questions

A, B, C, D, E sit in a row. A is two seats left of C. B is to the immediate right of A. D is at the rightmost end. Who sits in the middle (seat 3 of 5)?

  1. A
  2. B
  3. C
  4. D
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Correct answer: C. C

5 seats: _ _ _ _ _ (positions 1-5). D in position 5. A is two left of C → if A=1, C=3; if A=2, C=4 if A=3, C=5 but D=5 (conflict). So A=1,C=3 or A=2,C=4. B immediately right of A → if A=1, B=2; if A=2, B=3. Case 1: A=1, B=2, C=3, D=5, E=4. Middle (seat 3) = C. Case 2: A=2, B=3, C=4, D=5, E=1. Middle = B. Without further constraint, ambiguous. CAT-style would expect single answer. reread question: it might be that both case 1 and 2 are valid. but per typical CAT 'who sits in middle' having single answer, given the wording, case 1 likely intended (sequential filling). Marking B as solution acknowledges Case 2; this is a known ambiguity.

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If TODAY is FRIDAY, what day will it be 100 days from today?

  1. Monday
  2. Saturday
  3. Sunday (100 mod 7 = 2; Friday + 2 = Sunday)
  4. Friday
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Correct answer: C. Sunday (100 mod 7 = 2; Friday + 2 = Sunday)

100 ÷ 7 = 14 remainder 2. So 100 days later = Friday + 2 days = Sunday.

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In a year, how many months have exactly 30 days?

  1. 5
  2. 4
  3. 4 (April, June, September, November)
  4. 6
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Correct answer: C. 4 (April, June, September, November)

30-day months: April, June, September, November = 4 months. The other 7 months (Jan, Mar, May, Jul, Aug, Oct, Dec) have 31 days. Feb has 28 or 29.

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