Mock Test 5 for CAT: 68 Questions with Solutions & Analysis

    Attempt the Mock Test 5 for CAT: 68 exam-level questions, detailed solutions and performance analysis. First questions free.

    Paper breakdown

    68 questions · 204 marks · 103.84 minutes. Verbal Ability and Reading Comprehension: 24 · Quantitative Ability: 22 · Data Interpretation and Logical Reasoning: 22

    Free sample questions from Mock Test 5

    Question 1 · Verbal Ability and Reading Comprehension MCQ
    Common Description: Instructions [5 - 8]
    The passage below is accompanied by a set of questions. Choose the best answer to each question.
    When we teach engineering problems now, we ask students to come to a single “best” solution defined by technical ideals like low cost, speed to build, and ability to scale. This way of teaching primes students to believe that their decision-making is purely objective, as it is grounded in math and science. This is known as technical-social dualism, the idea that the technical and social dimensions of engineering problems are readily separable and remain distinct throughout the problem-definition and solution process.
    Nontechnical parameters such as access to a technology, cultural relevancy or potential harms are deemed political and invalid in this way of learning. But those technical ideals are at their core social and political choices determined by a dominant culture focused on economic growth for the most privileged segments of society. By choosing to downplay public welfare as a critical parameter for engineering design, we risk creating a culture of disengagement from societal concerns amongst engineers that is antithetical to the ethical code of engineering.
    In my field of medical devices, ignoring social dimensions has real consequences. . . . Most FDA-approved drugs are incorrectly dosed for people assigned female at birth, leading to unexpected adverse reactions. This is because they have been inadequately represented in clinical trials.
    Beyond physical failings, subjective beliefs treated as facts by those in decision-making roles can encode social inequities. For example, spirometers, routinely used devices that measure lung capacity, still have correction factors that automatically assume smaller lung capacity in Black and Asian individuals. These racially based adjustments are derived from research done by eugenicists who thought these racial differences were biologically determined and who considered nonwhite people as inferior. These machines ignore the influence of social and environmental factors on lung capacity.
    Many technologies for systemically marginalized people have not been built because they were not deemed important such as better early diagnostics and treatment for diseases like endometriosis, a disease that afflicts 10 percent of people with uteruses. And we hardly question whether devices are built sustainably, which has led to a crisis of medical waste and health care accounting for 10 percent of U.S. greenhouse gas emissions.
    Social justice must be made core to the way engineers are trained. Some universities are working on this. . . . Engineers taught this way will be prepared to think critically about what problems we choose to solve, how we do so responsibly and how we build teams that challenge our ways of thinking.
    Individual engineering professors are also working to embed societal needs in their pedagogy. Darshan Karwat at the University of Arizona developed activist engineering to challenge engineers to acknowledge their full moral and social responsibility through practical self-reflection. Khalid Kadir at the University of California, Berkeley, created the popular course Engineering, Environment, and Society that teaches engineers how to engage in place-based knowledge, an understanding of the people, context and history, to design better technical approaches in collaboration with communities. When we design and build with equity and justice in mind, we craft better solutions that respond to the complexities of entrenched systemic problems. All of the following are examples of the negative outcomes of focusing on technical ideals in the medical sphere EXCEPT the:
    1. A.

      neglect of research and development of medical technologies for the diagnosis and treatment of diseases that typically afflict marginalised communities.

    2. B.

      continuing calibration of medical devices based on past racial biases that have remained unadjusted for changes.

    3. C.

      exclusion of non-privileged groups in clinical trials which leads to incorrect drug dosages.

    4. D.

      incorrect assignment of people as female at birth which has resulted in faulty drug interventions.

    Correct Answer:

    D

    Step-by-Step Solution

    Key idea: This is a Detail Extraction / EXCEPT question. You need to find the option that is NOT mentioned as a negative outcome in the passage. Step 1: Locate the relevant section. The question asks about "negative outcomes of focusing on technical ideals in the medical sphere." This corresponds to Paragraphs 3, 4, and 5. Step 2: Verify Option A. Paragraph 5 states: "Many technologies for systemically marginalized people have not been built... such as better early diagnostics and treatment for diseases like endometriosis." This matches Option A. So, A is a valid negative outcome. Step 3: Verify Option B. Paragraph 4 states: "spirometers... still have correction factors that automatically assume smaller lung capacity in Black and Asian individuals... derived from research done by eugenicists." This matches Option B. So, B is a valid negative outcome. Step 4: Verify Option C. Paragraph 3 states: "Most FDA-approved drugs are incorrectly dosed for people assigned female at birth... because they have been inadequately represented in clinical trials." This matches Option C. So, C is a valid negative outcome. Step 5: Verify Option D. Option D says: "incorrect assignment of people as female at birth." The text says: "incorrectly dosed for people assigned female at birth." The error in the text is the dosing, not the assignment of sex. Option D distorts the meaning by shifting the adjective "incorrect" from the drug dosage to the gender assignment. This is not mentioned in the text. Answer: Option D.
    Question 2 · Verbal Ability and Reading Comprehension MCQ
    Common Description: Instructions [13 - 16]
    The passage below is accompanied by a set of questions. Choose the best answer to each question.
    Keeping time accurately comes with a price. The maximum accuracy of a clock is directly related to how much disorder, or entropy, it creates every time it ticks. Natalia Ares at the University of Oxford and her colleagues made this discovery using a tiny clock with an accuracy that can be controlled. The clock consists of a 50-nanometre-thick membrane of silicon nitride, vibrated by an electric current. Each time the membrane moved up and down once and then returned to its original position, the researchers counted a tick, and the regularity of the spacing between the ticks represented the accuracy of the clock. The researchers found that as they increased the clock’s accuracy, the heat produced in the system grew, increasing the entropy of its surroundings by jostling nearby particles . . . “If a clock is more accurate, you are paying for it somehow,” says Ares. In this case, you pay for it by pouring more ordered energy into the clock, which is then converted into entropy. “By measuring time, we are increasing the entropy of the universe,” says Ares. The more entropy there is in the universe, the closer it may be to its eventual demise. “Maybe we should stop measuring time,” says Ares. The scale of the additional entropy is so small, though, that there is no need to worry about its effects, she says.
    The increase in entropy in timekeeping may be related to the “arrow of time”, says Marcus Huber at the Austrian Academy of Sciences in Vienna, who was part of the research team. It has been suggested that the reason that time only flows forward, not in reverse, is that the total amount of entropy in the universe is constantly increasing, creating disorder that cannot be put in order again.
    The relationship that the researchers found is a limit on the accuracy of a clock, so it doesn’t mean that a clock that creates the most possible entropy would be maximally accurate - hence a large, inefficient grandfather clock isn’t more precise than an atomic clock. “It’s a bit like fuel use in a car. Just because I’m using more fuel doesn’t mean that I’m going faster or further,” says Huber.
    When the researchers compared their results with theoretical models developed for clocks that rely on quantum effects, they were surprised to find that the relationship between accuracy and entropy seemed to be the same for both. . . . We can’t be sure yet that these results are actually universal, though, because there are many types of clocks for which the relationship between accuracy and entropy haven’t been tested. “It’s still unclear how this principle plays out in real devices such as atomic clocks, which push the ultimate quantum limits of accuracy,” says Mark Mitchison at Trinity College Dublin in Ireland. Understanding this relationship could be helpful for designing clocks in the future, particularly those used in quantum computers and other devices where both accuracy and temperature are crucial, says Ares. This finding could also help us understand more generally how the quantum world and the classical world are similar and different in terms of thermodynamics and the passage of time. None of the following statements can be inferred from the passage EXCEPT that:
    1. A.

      the arrow of time has not yet been tested for atomic clocks.

    2. B.

      quantum computers are likely to produce more heat and, hence, more entropy, because of the emphasis on their clocks' accuracy.

    3. C.

      grandfather clocks are likely to produce less heat and, hence, less entropy, because they are not as accurate.

    4. D.

      a clock with a 50-nanometre-thick membrane of silicon nitride has been made to vibrate, producing electric currents.

    Correct Answer:

    B

    Step-by-Step Solution

    Key idea: This is an Inference question with a double negative ("None... EXCEPT"). This means we must find the ONE statement that CAN be reasonably inferred from the passage.

    Step 1: Evaluate Option A. The passage states it is unclear how the accuracy-entropy principle plays out in atomic clocks, not that the "arrow of time" specifically has not been tested for them. Thus, this cannot be inferred.

    Step 2: Evaluate Option B. The passage links increased accuracy to increased heat/entropy. It also notes that for quantum computers, both accuracy and temperature are crucial. This implies that emphasizing accuracy in such devices involves managing this heat/entropy trade-off, making it a reasonable inference.

    Step 3: Evaluate Option C. The passage uses the grandfather clock as an example of a device that might create high entropy without being maximally accurate (it is described as "large, inefficient"). This contradicts the idea that it produces less heat/entropy because it is less accurate.

    Step 4: Evaluate Option D. The passage states the membrane is vibrated by an electric current. This option reverses the causality, claiming the vibration produces the current.

    Answer: Option B.

    Question 3 · Data Interpretation and Logical Reasoning MCQ
    Common Description: Seven children, Aarav, Bina, Chirag, Diya, Eshan, Farhan, and Gaurav, are sitting in a circle facing inside (not necessarily in the same order) and playing a game of 'Passing the Buck'.
    The game is played over 10 rounds. In each round, the child holding the Buck must pass it directly to a child sitting in one of the following positions:
    • Immediately to the left;
    • Immediate to the right;
    • Second to the left; or
    • Second to the right.
    The game starts with Bina passing the Buck and ends with Chirag receiving the Buck. The table below provides some information about the pass types and the child receiving the Buck. Some information is missing and labelled as '?'.
    RoundPass TypeReceived by
    1Immediately to the leftAarav
    2Second to the right?
    3Immediately to the rightDiya
    4??
    5?Aarav
    6Second to the left?
    7Immediately to the leftGaurav
    8Immediately to the left?
    9?Farhan
    10?Chirag
    For which of the following pass types can the total number of occurrences be uniquely determined?
    1. A.

      Immediately to the left

    2. B.

      Second to the right

    3. C.

      Immediately to the right

    4. D.

      Second to the left

    Correct Answer:

    C

    Step-by-Step Solution

    Key idea: This is a circular-pass reconstruction question, recognisable because we have a table of rounds with missing pass types and receivers, and we must determine which pass-type count is invariant.

    Why: The problem gives a sequence of passes around a circle with fixed step sizes. By assigning coordinates modulo 7, we can track exact positions and deduce the missing pass types.

    Step 1: Fix coordinates. Place Aarav at 0 modulo 7.

    IL = +1, IR = -1, SL = +2, SR = -2.

    Step 2: Reconstruct fixed positions.

    R1: Bina passes IL to Aarav(0). Bina is at 6.

    R2: Aarav(0) passes SR. Receiver is at 5.

    R3: Person at 5 passes IR to Diya. Diya is at 4.

    R6: Aarav(0) passes SL. Receiver is at 2.

    R7: Person at 2 passes IL to Gaurav. Gaurav is at 3.

    R8: Gaurav(3) passes IL. Receiver is at 4 (Diya).

    Step 3: Locate Farhan, Chirag, Eshan.

    Placed: Aarav(0), Gaurav(3), Diya(4), Bina(6).

    Remaining: 1, 2, 5. People: Chirag, Eshan, Farhan.

    R9: Diya(4) passes to Farhan. Targets from 4: 5, 3, 6, 2. 3 and 6 occupied. Farhan is at 5 or 2.

    R10: Farhan passes to Chirag.

    If Farhan at 5, targets are 6, 4, 0, 3. All occupied. Impossible.

    So Farhan is at 2. Targets from 2: 3, 1, 4, 0. Only 1 is free. Chirag is at 1.

    Eshan is at 5.

    Step 4: Determine Pass Types.

    R1: IL, R2: SR, R3: IR, R6: SL, R7: IL, R8: IL, R9: SR, R10: IR.

    Counts so far: IL=3, SR=2, IR=2, SL=1.

    Need R4 and R5. R4: Diya(4) to Z. R5: Z to Aarav(0).

    Z must be reachable from 4 and reach 0.

    Candidates for Z: 5, 6, 2.

    Case 1: Z=5. R4 is IL, R5 is SL. Total IL=4, SL=2.

    Case 2: Z=6. R4 is SL, R5 is IL. Total IL=4, SL=2.

    Case 3: Z=2. R4 is SR, R5 is SR. Total SR=4, IL=3, SL=1.

    In all valid cases, the count for IR (Immediately to the right) is exactly 2.

    Answer: C

    Question 4 · Data Interpretation and Logical Reasoning NAT
    Common Description: Instructions [35 - 39]
    Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers - Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5.
    The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively. The summary statistics of these ratings for the five workers is given below.
    UllasVasuWamanXavierYusuf
    Mean rating2.23.83.43.62.6
    Median rating24443
    Modal rating24551 and 4
    Range of rating*33443
    * Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.
    The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.
    (a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
    (b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf. What rating did R1 give to Xavier?
    Correct Answer:

    3

    Step-by-Step Solution

    Key idea: This is a Matrix Reconstruction problem, recognisable by row means, worker summary statistics (median/mode/range), and fixed cells forcing the missing grid values. We need to deduce R1's rating for Xavier.

    Step 1: Convert Restaurant Means to Row Sums.

    Each restaurant rates 5 workers. Sum = 5 times Mean.

    R1:

    R2:

    R3:

    R4:

    R5:

    Step 2: Reconstruct Worker Multisets.

    Using Mean, Median, Mode, Range for each worker (5 ratings each):

    Ullas: Mean 2.2 (Sum 11), Med 2, Mode 2, Range 3. Set: .

    Vasu: Mean 3.8 (Sum 19), Med 4, Mode 4, Range 3. Set: .

    Waman: Mean 3.4 (Sum 17), Med 4, Mode 5, Range 4. Set: .

    Xavier: Mean 3.6 (Sum 18), Med 4, Mode 5, Range 4. Set: .

    Yusuf: Mean 2.6 (Sum 13), Med 3, Mode , Range 3. Set: .

    Step 3: Place Fixed Cells from Clues.

    Known 5s: R1-Waman, R2-Xavier, R3-Waman, R3-Xavier, R5-Vasu.

    Known 1s: R1-Ullas, R2-Waman, R2-Yusuf, R3-Yusuf.

    Step 4: Force R2 remaining cells.

    R2 sum is 11. Known R2 values: Xavier=5, Waman=1, Yusuf=1. Sum so far = 7.

    Remaining: R2-Ullas + R2-Vasu = 4.

    From Ullas multiset (R1-Ullas=1 used), remaining: .

    From Vasu multiset (R5-Vasu=5 used), remaining: .

    Only pair summing to 4: Ullas=2 and Vasu=2.

    So R2-Ullas=2, R2-Vasu=2.

    Step 5: Force Vasu and Ullas remaining values.

    Vasu multiset . Used R2=2, R5=5. Remaining: .

    So R1-Vasu=4, R3-Vasu=4, R4-Vasu=4.

    Ullas multiset . Used R1=1, R2=2. Remaining: .

    R3 sum is 19. Known R3: Waman=5, Xavier=5, Yusuf=1, Vasu=4. Sum = 15.

    Remaining for R3-Ullas = .

    So R3-Ullas=4. Remaining for Ullas: . So R4-Ullas=2, R5-Ullas=2.

    Step 6: Solve R1 for Xavier and Yusuf.

    R1 sum is 17. Known R1: Waman=5, Ullas=1, Vasu=4. Sum = 10.

    Remaining for R1-Xavier + R1-Yusuf = 7.

    Xavier multiset . Used R2=5, R3=5. Remaining: .

    Yusuf multiset . Used R2=1, R3=1. Remaining: .

    Pairs from and summing to 7: (3,4) or (4,3).

    Step 7: Eliminate the wrong pair using R4.

    If R1-Xavier=4, R1-Yusuf=3:

    Xavier remaining: . Yusuf remaining: .

    R4 sum is 14. Known R4: Ullas=2, Vasu=4. Remaining = 8.

    Yusuf must give 4 to both R4 and R5.

    R4 needs 4 from Waman and Xavier. Waman remaining , Xavier . Max sum is , but we need exactly 4. If Waman=2, Xavier=2 (invalid). If Waman=4, Xavier=0 (invalid).

    Thus, R1-Xavier cannot be 4.

    Therefore, R1-Xavier must be 3, and R1-Yusuf must be 4.

    Answer: 3

    Question 5 · Data Interpretation and Logical Reasoning MCQ
    Common Description: Instructions [38 - 41]
    The two plots below give the following information about six firms A, B, C, D, E, and F for 2019 and 2023.
    PAT: The firm’s profits after taxes in Rs. crores,
    ES: The firm’s employee strength, that is the number of employees in the firm, and
    PRD: The percentage of the firm’s PAT that they spend on Research and Development (R&D).
    In the plots, the horizontal and vertical coordinates of point representing each firm gives their ES and PAT values respectively. The PRD values of each firm are proportional to the areas around the points representing each firm. The areas are comparable between the two plots, i.e., equal areas in the two plots represent the same PRD values for the two years.
    2019 2023 ABCDEF ABCDEF ESES PATPAT The ratio of the amount of money spent by Firm C on R&D in 2019 to that in 2023 is closest to
    1. A.

      9 : 4

    2. B.

      5 : 6

    3. C.

      5 : 9

    4. D.

      9 : 5

    Correct Answer:

    B

    Step-by-Step Solution

    Key idea: This is a multi-variable visual estimation question, recognisable because we must extract coordinates and bubble areas from a scatter plot to compute a derived financial metric.

    Why this method applies: The question asks for the ratio of R&D spend between two years. R&D spend is calculated as . We must estimate PAT from the y-axis and PRD from the bubble area ().

    Step 1: Establish the scales and estimate PAT.

    The y-axis (PAT) grid lines are at y=237, 198, 160, 122, 83, 45. The spacing is ~39 pixels per 10 units.

    Assuming y=237 is 10 and y=198 is 20, then y=218 (Firm C 2019) is exactly halfway, so .

    For Firm C 2023, the y-coordinate is 160, which is exactly on the grid line for 30. So .

    Step 2: Calculate the relative PRD values.

    PRD is proportional to the area of the bubble ().

    For Firm C 2019, the radius . Area .

    For Firm C 2023, the radius . Area .

    Step 3: Compute the R&D spend ratio.

    .

    .

    Step 4: Match with options.

    The calculated ratio is approximately 1.04. Let's evaluate the given options:

    • 9:4 = 2.25
    • 5:6 0.83
    • 5:9 0.55
    • 9:5 = 1.80

    Among the choices, 5:6 (~0.83) is the closest value to 1.04, accounting for minor visual estimation variances in reading the exact PAT or radius from the chart (e.g., if PAT 2019 was slightly lower, like 12, the ratio would be exactly 0.83).

    Answer: Option B.

    Question 6 · Data Interpretation and Logical Reasoning MCQ
    Common Description: Instructions [38 - 42 ]
    Two students, Amiya and Ramya are the only candidates in an election for the position of class representative. Students will vote based on the intensity level of Amiya’s and Ramya’s campaigns and the type of campaigns they run. Each campaign is said to have a level of 1 if it is a staid campaign and a level of 2 if it is a vigorous campaign. Campaigns can be of two types, they can either focus on issues, or on attacking the other candidate.
    If Amiya and Ramya both run campaigns focusing on issues, then
    • The percentage of students voting in the election will be 20 times the sum of the levels of campaigning of the two students. For example, if Amiya and Ramya both run vigorous campaigns, then 20 × (2+2)%, that is, 80% of the students will vote in the election.
    • Among voting students, the percentage of votes for each candidate will be proportional to the levels of their campaigns. For example, if Amiya runs a staid (i.e., level 1) campaign while Ramya runs a vigorous (i.e., level 2) campaign, then Amiya will receive 1/3 of the votes cast, and Ramya will receive the other 2/3.
    The above-mentioned percentages change as follows if at least one of them runs a campaign attacking their opponent.
    • If Amiya runs a campaign attacking Ramya and Ramya runs a campaign focusing on issues, then 10% of the students who would have otherwise voted for Amiya will vote for Ramya, and another 10% who would have otherwise voted for Amiya, will not vote at all.
    • If Ramya runs a campaign attacking Amiya and Amiya runs a campaign focusing on issues, then 20% of the students who would have otherwise voted for Ramya will vote for Amiya, and another 5% who would have otherwise voted for Ramya, will not vote at all.
    • If both run campaigns attacking each other, then 10% of the students who would have otherwise voted for them had they run campaigns focusing on issues, will not vote at all. If Amiya runs a campaign focusing on issues, then what is the maximum percentage of votes that she can get?
    1. A.

      48%

    2. B.

      44%

    3. C.

      40%

    4. D.

      36%

    Correct Answer:

    A

    Step-by-Step Solution

    Key idea: This is a maximum-attainable-value question, recognisable because one candidate's type is fixed (Amiya focuses on issues) and we must find the absolute maximum votes she can receive across all possible opponent responses and level choices. Unlike guaranteed-minimum problems, here we assume the most favourable scenario.

    Step 1: Fix Amiya's strategy. Amiya = Issues. She chooses . Ramya can choose Issues or Attack at any level. We want to maximise Amiya's vote percentage.

    Step 2: Case A — Both focus on Issues.

    Turnout = . Amiya's share = .

    Amiya's votes = .

    Maximum when : Amiya gets .

    Note: Ramya's level cancels — it does not affect Amiya's absolute votes in this case.

    Step 3: Case B — Amiya Issues, Ramya Attacks.

    Base turnout = . Amiya's base = . Ramya's base = .

    Rule: 20% of Ramya's base voters switch to Amiya; 5% of Ramya's base abstain.

    Amiya gains: .

    Amiya's total = .

    To maximise: set and .

    Amiya's votes = .

    Step 4: Compare cases.

    Case A maximum: 40%.

    Case B maximum: 48%.

    Overall maximum = 48%.

    Step 5: Key insight. In Case B, Ramya's high level actually helps Amiya because it creates a larger pool of Ramya voters from which 20% defect to Amiya. For maximisation, a stronger opponent can benefit you.

    Answer: 48% (Option A)

    Question 7 · Data Interpretation and Logical Reasoning MCQ
    Common Description: Instructions [39 - 44]
    Three reviewers Amal, Bimal, and Komal are tasked with selecting questions from a pool of 13 questions (Q01 to Q13). Questions can be created by external “subject matter experts” (SMEs) or by one of the three reviewers. Each of the reviewers either approves or disapproves a question that is shown to them. Their decisions lead to eventual acceptance or rejection of the question in the manner described below.
    If a question is created by an SME, it is reviewed first by Amal, and then by Bimal. If both of them approve the question, then the question is accepted and is not reviewed by Komal. If both disapprove the question, it is rejected and is not reviewed by Komal. If one of them approves the question and the other disapproves it, then the question is reviewed by Komal. Then the question is accepted only if she approves it.
    A question created by one of the reviewers is decided upon by the other two. If a question is created by Amal, then it is first reviewed by Bimal. If Bimal approves the question, then it is accepted. Otherwise, it is reviewed by Komal. The question is then accepted only if Komal approves it. A similar process is followed for questions created by Bimal, whose questions are first reviewed by Komal, and then by Amal only if Komal disapproves it. Questions created by Komal are first reviewed by Amal, and then, if required, by Bimal.
    The following facts are known about the review process after its completion.
    1. Q02, Q06, Q09, Q11, and Q12 were rejected and the other questions were accepted.
    2. Amal reviewed only Q02, Q03, Q04, Q06, Q08, Q10, Q11, and Q13.
    3. Bimal reviewed only Q02, Q04, Q06 through Q09, Q12, and Q13.
    4. Komal reviewed only Q01 through Q05, Q07, Q08, Q09, Q11, and Q12. The approval ratio of a reviewer is the ratio of the number of questions (s)he approved to the number of questions (s)he reviewed. Which option best describes Amal’s approval ratio?
    1. A.

      either 0.25 or 0.75

    2. B.

      0.25

    3. C.

      lies between 0.25 and 0.50

    4. D.

      lies between 0.25 and 0.75

    Correct Answer:

    D

    Step-by-Step Solution

    Key idea: This is a bounds analysis question within a selection panel context, recognisable because the question asks for the range of a ratio rather than a single value, signalling that some decisions are ambiguous. Why this method applies: We can determine some of Amal's decisions with certainty from the routing rules and outcomes, but others depend on unknown creator identities. The approval ratio therefore has a range, not a single value. Step 1: List Amal's reviewed questions. Amal reviewed 8 questions: Q02, Q03, Q04, Q06, Q08, Q10, Q11, Q13. Step 2: Determine Amal's definite decisions using the routing rules and outcomes. - Q06 (rejected, footprint ): This is either SME (both disapproved) or Komal-created (A disapproved, B disapproved). In both cases, Amal disapproved. Definite disapproval. - Q11 (rejected, footprint ): This is Bimal-created (K disapproved, A reviewed). Since Q11 was rejected, A disapproved. Definite disapproval. - Q03 (accepted, footprint ): This is Bimal-created (K disapproved, A reviewed). Since Q03 was accepted, A approved. Definite approval. - Q10 (accepted, footprint ): This is Komal-created (A approved, accepted immediately). Definite approval. Step 3: Identify ambiguous questions. - Q02 (rejected, ): SME with a split. Either A approved and B disapproved, or A disapproved and B approved. Amal's decision is ambiguous. - Q04 (accepted, ): SME with a split. K approved (accepted). Amal's decision is ambiguous. - Q08 (accepted, ): SME with a split. K approved. Amal's decision is ambiguous. - Q13 (accepted, ): Could be SME (both approved) or Komal-created (A disapproved, B approved). Amal's decision is ambiguous. Step 4: Calculate the bounds. Definite approvals: 2 (Q03, Q10). Definite disapprovals: 2 (Q06, Q11). Ambiguous: 4 (Q02, Q04, Q08, Q13). Minimum ratio: (all ambiguous are disapprovals). Maximum ratio: (all ambiguous are approvals). The approval ratio lies between 0.25 and 0.75. Answer: D

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    Mock Test 5 for CAT: 68 Questions with Solutions & Analysis

    Attempt the Mock Test 5 for CAT: 68 exam-level questions, detailed solutions and performance analysis. First questions free.

    68 Qs

    Total Questions

    204 Marks

    Total Marks

    103.84 Mins

    Duration

    +3 / -1 / 0

    Marking Scheme

    Section-wise Paper Structure

    Verbal Ability and Reading Comprehension

    24 Qs

    35% of total marks

    Quantitative Ability

    22 Qs

    32% of total marks

    Data Interpretation and Logical Reasoning

    22 Qs

    32% of total marks

    Free Solved Questions with Step-by-Step Solutions

    Authentic examination problems with detailed derivations and answer keys.

    Question 1
    Common Description: Instructions [5 - 8]
    The passage below is accompanied by a set of questions. Choose the best answer to each question.
    When we teach engineering problems now, we ask students to come to a single “best” solution defined by technical ideals like low cost, speed to build, and ability to scale. This way of teaching primes students to believe that their decision-making is purely objective, as it is grounded in math and science. This is known as technical-social dualism, the idea that the technical and social dimensions of engineering problems are readily separable and remain distinct throughout the problem-definition and solution process.
    Nontechnical parameters such as access to a technology, cultural relevancy or potential harms are deemed political and invalid in this way of learning. But those technical ideals are at their core social and political choices determined by a dominant culture focused on economic growth for the most privileged segments of society. By choosing to downplay public welfare as a critical parameter for engineering design, we risk creating a culture of disengagement from societal concerns amongst engineers that is antithetical to the ethical code of engineering.
    In my field of medical devices, ignoring social dimensions has real consequences. . . . Most FDA-approved drugs are incorrectly dosed for people assigned female at birth, leading to unexpected adverse reactions. This is because they have been inadequately represented in clinical trials.
    Beyond physical failings, subjective beliefs treated as facts by those in decision-making roles can encode social inequities. For example, spirometers, routinely used devices that measure lung capacity, still have correction factors that automatically assume smaller lung capacity in Black and Asian individuals. These racially based adjustments are derived from research done by eugenicists who thought these racial differences were biologically determined and who considered nonwhite people as inferior. These machines ignore the influence of social and environmental factors on lung capacity.
    Many technologies for systemically marginalized people have not been built because they were not deemed important such as better early diagnostics and treatment for diseases like endometriosis, a disease that afflicts 10 percent of people with uteruses. And we hardly question whether devices are built sustainably, which has led to a crisis of medical waste and health care accounting for 10 percent of U.S. greenhouse gas emissions.
    Social justice must be made core to the way engineers are trained. Some universities are working on this. . . . Engineers taught this way will be prepared to think critically about what problems we choose to solve, how we do so responsibly and how we build teams that challenge our ways of thinking.
    Individual engineering professors are also working to embed societal needs in their pedagogy. Darshan Karwat at the University of Arizona developed activist engineering to challenge engineers to acknowledge their full moral and social responsibility through practical self-reflection. Khalid Kadir at the University of California, Berkeley, created the popular course Engineering, Environment, and Society that teaches engineers how to engage in place-based knowledge, an understanding of the people, context and history, to design better technical approaches in collaboration with communities. When we design and build with equity and justice in mind, we craft better solutions that respond to the complexities of entrenched systemic problems. All of the following are examples of the negative outcomes of focusing on technical ideals in the medical sphere EXCEPT the:
    Question 2
    Common Description: Instructions [13 - 16]
    The passage below is accompanied by a set of questions. Choose the best answer to each question.
    Keeping time accurately comes with a price. The maximum accuracy of a clock is directly related to how much disorder, or entropy, it creates every time it ticks. Natalia Ares at the University of Oxford and her colleagues made this discovery using a tiny clock with an accuracy that can be controlled. The clock consists of a 50-nanometre-thick membrane of silicon nitride, vibrated by an electric current. Each time the membrane moved up and down once and then returned to its original position, the researchers counted a tick, and the regularity of the spacing between the ticks represented the accuracy of the clock. The researchers found that as they increased the clock’s accuracy, the heat produced in the system grew, increasing the entropy of its surroundings by jostling nearby particles . . . “If a clock is more accurate, you are paying for it somehow,” says Ares. In this case, you pay for it by pouring more ordered energy into the clock, which is then converted into entropy. “By measuring time, we are increasing the entropy of the universe,” says Ares. The more entropy there is in the universe, the closer it may be to its eventual demise. “Maybe we should stop measuring time,” says Ares. The scale of the additional entropy is so small, though, that there is no need to worry about its effects, she says.
    The increase in entropy in timekeeping may be related to the “arrow of time”, says Marcus Huber at the Austrian Academy of Sciences in Vienna, who was part of the research team. It has been suggested that the reason that time only flows forward, not in reverse, is that the total amount of entropy in the universe is constantly increasing, creating disorder that cannot be put in order again.
    The relationship that the researchers found is a limit on the accuracy of a clock, so it doesn’t mean that a clock that creates the most possible entropy would be maximally accurate - hence a large, inefficient grandfather clock isn’t more precise than an atomic clock. “It’s a bit like fuel use in a car. Just because I’m using more fuel doesn’t mean that I’m going faster or further,” says Huber.
    When the researchers compared their results with theoretical models developed for clocks that rely on quantum effects, they were surprised to find that the relationship between accuracy and entropy seemed to be the same for both. . . . We can’t be sure yet that these results are actually universal, though, because there are many types of clocks for which the relationship between accuracy and entropy haven’t been tested. “It’s still unclear how this principle plays out in real devices such as atomic clocks, which push the ultimate quantum limits of accuracy,” says Mark Mitchison at Trinity College Dublin in Ireland. Understanding this relationship could be helpful for designing clocks in the future, particularly those used in quantum computers and other devices where both accuracy and temperature are crucial, says Ares. This finding could also help us understand more generally how the quantum world and the classical world are similar and different in terms of thermodynamics and the passage of time. None of the following statements can be inferred from the passage EXCEPT that:
    Question 3
    Common Description: Seven children, Aarav, Bina, Chirag, Diya, Eshan, Farhan, and Gaurav, are sitting in a circle facing inside (not necessarily in the same order) and playing a game of 'Passing the Buck'.
    The game is played over 10 rounds. In each round, the child holding the Buck must pass it directly to a child sitting in one of the following positions:
    • Immediately to the left;
    • Immediate to the right;
    • Second to the left; or
    • Second to the right.
    The game starts with Bina passing the Buck and ends with Chirag receiving the Buck. The table below provides some information about the pass types and the child receiving the Buck. Some information is missing and labelled as '?'.
    RoundPass TypeReceived by
    1Immediately to the leftAarav
    2Second to the right?
    3Immediately to the rightDiya
    4??
    5?Aarav
    6Second to the left?
    7Immediately to the leftGaurav
    8Immediately to the left?
    9?Farhan
    10?Chirag
    For which of the following pass types can the total number of occurrences be uniquely determined?
    Question 4
    Common Description: Instructions [35 - 39]
    Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers - Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5.
    The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively. The summary statistics of these ratings for the five workers is given below.
    UllasVasuWamanXavierYusuf
    Mean rating2.23.83.43.62.6
    Median rating24443
    Modal rating24551 and 4
    Range of rating*33443
    * Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.
    The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.
    (a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
    (b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf. What rating did R1 give to Xavier?
    Question 5
    Common Description: Instructions [38 - 41]
    The two plots below give the following information about six firms A, B, C, D, E, and F for 2019 and 2023.
    PAT: The firm’s profits after taxes in Rs. crores,
    ES: The firm’s employee strength, that is the number of employees in the firm, and
    PRD: The percentage of the firm’s PAT that they spend on Research and Development (R&D).
    In the plots, the horizontal and vertical coordinates of point representing each firm gives their ES and PAT values respectively. The PRD values of each firm are proportional to the areas around the points representing each firm. The areas are comparable between the two plots, i.e., equal areas in the two plots represent the same PRD values for the two years.
    2019 2023 ABCDEF ABCDEF ESES PATPAT The ratio of the amount of money spent by Firm C on R&D in 2019 to that in 2023 is closest to
    Question 6
    Common Description: Instructions [38 - 42 ]
    Two students, Amiya and Ramya are the only candidates in an election for the position of class representative. Students will vote based on the intensity level of Amiya’s and Ramya’s campaigns and the type of campaigns they run. Each campaign is said to have a level of 1 if it is a staid campaign and a level of 2 if it is a vigorous campaign. Campaigns can be of two types, they can either focus on issues, or on attacking the other candidate.
    If Amiya and Ramya both run campaigns focusing on issues, then
    • The percentage of students voting in the election will be 20 times the sum of the levels of campaigning of the two students. For example, if Amiya and Ramya both run vigorous campaigns, then 20 × (2+2)%, that is, 80% of the students will vote in the election.
    • Among voting students, the percentage of votes for each candidate will be proportional to the levels of their campaigns. For example, if Amiya runs a staid (i.e., level 1) campaign while Ramya runs a vigorous (i.e., level 2) campaign, then Amiya will receive 1/3 of the votes cast, and Ramya will receive the other 2/3.
    The above-mentioned percentages change as follows if at least one of them runs a campaign attacking their opponent.
    • If Amiya runs a campaign attacking Ramya and Ramya runs a campaign focusing on issues, then 10% of the students who would have otherwise voted for Amiya will vote for Ramya, and another 10% who would have otherwise voted for Amiya, will not vote at all.
    • If Ramya runs a campaign attacking Amiya and Amiya runs a campaign focusing on issues, then 20% of the students who would have otherwise voted for Ramya will vote for Amiya, and another 5% who would have otherwise voted for Ramya, will not vote at all.
    • If both run campaigns attacking each other, then 10% of the students who would have otherwise voted for them had they run campaigns focusing on issues, will not vote at all. If Amiya runs a campaign focusing on issues, then what is the maximum percentage of votes that she can get?
    Question 7
    Common Description: Instructions [39 - 44]
    Three reviewers Amal, Bimal, and Komal are tasked with selecting questions from a pool of 13 questions (Q01 to Q13). Questions can be created by external “subject matter experts” (SMEs) or by one of the three reviewers. Each of the reviewers either approves or disapproves a question that is shown to them. Their decisions lead to eventual acceptance or rejection of the question in the manner described below.
    If a question is created by an SME, it is reviewed first by Amal, and then by Bimal. If both of them approve the question, then the question is accepted and is not reviewed by Komal. If both disapprove the question, it is rejected and is not reviewed by Komal. If one of them approves the question and the other disapproves it, then the question is reviewed by Komal. Then the question is accepted only if she approves it.
    A question created by one of the reviewers is decided upon by the other two. If a question is created by Amal, then it is first reviewed by Bimal. If Bimal approves the question, then it is accepted. Otherwise, it is reviewed by Komal. The question is then accepted only if Komal approves it. A similar process is followed for questions created by Bimal, whose questions are first reviewed by Komal, and then by Amal only if Komal disapproves it. Questions created by Komal are first reviewed by Amal, and then, if required, by Bimal.
    The following facts are known about the review process after its completion.
    1. Q02, Q06, Q09, Q11, and Q12 were rejected and the other questions were accepted.
    2. Amal reviewed only Q02, Q03, Q04, Q06, Q08, Q10, Q11, and Q13.
    3. Bimal reviewed only Q02, Q04, Q06 through Q09, Q12, and Q13.
    4. Komal reviewed only Q01 through Q05, Q07, Q08, Q09, Q11, and Q12. The approval ratio of a reviewer is the ratio of the number of questions (s)he approved to the number of questions (s)he reviewed. Which option best describes Amal’s approval ratio?

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