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Quant-Based DI Questions for CAT

Preview 20 questions below, then sign up free to solve them in practice mode with worked solutions, and to reach all 324.

Verified questions324
Worked solutions in practice mode35 from CAT papers
100 easy100 medium124 hard

20 free Quant-Based DI questions

1EasyPassage, 4 questions

The table shows three students' marks in Math and Science with totals. Some cells are missing (?). Clues: (i) B's total and C's total are both 130 (given). (ii) A scored 10 marks more than B in Math. (iii) A's Science mark is 60 (given). Study the table and answer the questions that follow.image

Question 1

What is B's Science mark (B's total is 130, Math is 70)?

Question 2

What is A's Math mark (10 more than B's Math of 70)?

Question 3

What is A's total?

Question 4

Who has the highest total?

  1. A

    A

  2. B

    B

  3. C

    C

  4. D

    All equal

Show solution
2EasyPassage, 4 questions

Three funds have the initial values and annual returns shown. Compound sequentially: Value = Initial x (1+r1) x (1+r2) x (1+r3). CAGR = (Final/Initial)^(1/3) - 1. Study the table and answer the questions that follow.image

Question 1

What is the value of Alpha after 3 years (in Rs. Lakhs)?

  1. A

    About 120.18

  2. B

    About 130.00

  3. C

    About 115.00

  4. D

    About 125.00

Question 2

What is the value of Beta after 3 years (in Rs. Lakhs)?

  1. A

    About 112.39

  2. B

    About 109.60

  3. C

    About 120.00

  4. D

    About 100.00

Question 3

Which fund has the highest CAGR?

  1. A

    Alpha

  2. B

    Beta

  3. C

    Gamma

  4. D

    All equal

Question 4

Alpha's Year 3 return is -5%. To apply it, you multiply the running value by:

  1. A

    0.95

  2. B

    1.05

  3. C

    0.05

  4. D

    0.5

Show solution
3MediumPassage, 4 questions

Three vehicles travel for the times shown at the constant speeds given. The table lists each vehicle's speed (in km/h) and travel time (in minutes). Use the conversion 1 km/h = 5/18 m/s and Distance = Speed x Time. Study the table and answer the questions that follow.image

Question 1

What is Vehicle A's speed in m/s?

Question 2

What distance does Vehicle A cover, in km?

Question 3

Which vehicle covers the greatest distance?

  1. A

    A

  2. B

    B

  3. C

    C

  4. D

    All equal

Question 4

What is Vehicle C's speed in m/s?

Show solution
4MediumPassage, 4 questions

The table shows three regions' total CO2 emissions (in kilotonnes) and populations (in thousands). Per capita emissions = Total emissions / Population. Study the table and answer the questions that follow.image

Question 1

Which region has the highest TOTAL emissions?

  1. A

    P

  2. B

    Q

  3. C

    R

  4. D

    All equal

Question 2

What are the per capita emissions of region Q (in kt per thousand people)?

Question 3

Which region has the highest per capita emissions?

  1. A

    P

  2. B

    Q

  3. C

    R

  4. D

    All equal

Question 4

Why can the region with the highest total emissions differ from the one with the highest per capita emissions?

  1. A

    Per capita divides by population, so a large total spread over a large population can give a low per-capita value

  2. B

    Because totals are always wrong

  3. C

    Because per capita ignores emissions

  4. D

    They can never differ

Show solution
5HardPassage, 4 questions

Two workers can each complete a job alone in the times shown. The job must be finished within a 10-day deadline. (Tip: using LCM = 60 work units, A = 3 units/day and B = 2 units/day.) Study the table and answer the questions that follow.image

Question 1

Using LCM = 60 as the total work, what is A's rate in units per day?

Question 2

Working together, how much of the job do A and B complete in 10 days?

  1. A

    5/6 of the job

  2. B

    The whole job

  3. C

    1/2 of the job

  4. D

    2/3 of the job

Question 3

Do A and B alone meet the 10-day deadline?

  1. A

    Yes, with time to spare

  2. B

    No - together they need 12 days

  3. C

    Exactly on time

  4. D

    Cannot be determined

Question 4

What is the minimum number of additional workers identical to B (joining from the start) needed to finish within 10 days?

Show solution
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See the 35 CAT PYQs on Quant-Based DIActual papers, 2017–2025, organised by year and slot

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