Mock Test 1 for CAT: 68 Questions with Solutions & Analysis

    Attempt the Mock Test 1 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 1

    Question 1 · Verbal Ability and Reading Comprehension · 2024 Slot 2 MCQ
    Common Description: The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.
    The job of a peer reviewer is thankless. Collectively, academics spend around 70 million hours every year evaluating each other’s manuscripts on the behalf of scholarly journals — and they usually receive no monetary compensation and little if any recognition for their effort. Some do it as a way to keep abreast with developments in their field; some simply see it as a duty to the discipline. Either way, academic publishing would likely crumble without them.
    In recent years, some scientists have begun posting their reviews online, mainly to claim credit for their work. Sites like Publons allow researchers to either share entire referee reports or simply list the journals for whom they’ve carried out a review…. The rise of Publons suggests that academics are increasingly placing value on the work of peer review and asking others, such as grant funders, to do the same. While that’s vital in the publish-or-perish culture of academia, there’s also immense value in the data underlying peer review. Sharing peer review data could help journals stamp out fraud, inefficiency, and systemic bias in academic publishing….
    Peer review data could also help root out bias. Last year, a study based on peer review data for nearly 24,000 submissions to the biomedical journal eLife found that women and non- Westerners were vastly underrepresented among peer reviewers. Only around one in every five reviewers was female, and less than two percent of reviewers were based in developing countries…. Openly publishing peer review data could perhaps also help journals address another problem in academic publishing: fraudulent peer reviews. For instance, a minority of authors have been known to use phony email addresses to pose as an outside expert and review their own manuscripts.…
    Opponents of open peer review commonly argue that confidentiality is vital to the integrity of the review process; referees may be less critical of manuscripts if their reports are published, especially if they are revealing their identities by signing them. Some also hold concerns that open reviewing may deter referees from agreeing to judge manuscripts in the first place, or that they’ll take longer to do so out of fear of scrutiny….
    Even when the content of reviews and the identity of reviewers can’t be shared publicly, perhaps journals could share the data with outside researchers for study. Or they could release other figures that wouldn’t compromise the anonymity of reviews but that might answer important questions about how long the reviewing process takes, how many researchers editors have to reach out to on average to find one who will carry out the work, and the geographic distribution of peer reviewers.
    Of course, opening up data underlying the reviewing process will not fix peer review entirely, and there may be instances in which there are valid reasons to keep the content of peer reviews hidden and the identity of the referees confidential. But the norm should shift from opacity in all cases to opacity only when necessary. According to the passage, which of the following is the only reason NOT given in favour of making peer review data public?
    1. A.

      It will deal with peer review fraud such as authors publishing bogus reviews of their work.

    2. B.

      It would highlight the gender and race biases currently existing in the selection of reviewers.

    3. C.

      It could address various inefficiencies and fraudulent practices that continue in academic publishing process.

    4. D.

      It can tackle the problem of selecting appropriately qualified reviewers for academic writing.

    Correct Answer:

    D

    Step-by-Step Solution

    Key idea: This is a Detail Extraction / EXCEPT question, recognisable because it asks to identify the single reason NOT given in the text in favour of a specific action.

    Step 1: Understand the task. We are looking for the option that is NOT supported by the passage as a benefit of open peer review data.

    Step 2: Evaluate Option A. Paragraph 3 explicitly mentions that open data could address "fraudulent peer reviews" such as authors using "phony email addresses". This is a given reason.

    Step 3: Evaluate Option B. Paragraph 3 discusses how data revealed that "women and non-Westerners were vastly underrepresented", highlighting gender and geographic biases. This is a given reason.

    Step 4: Evaluate Option C. Paragraph 2 states that sharing data could help journals "stamp out fraud, inefficiency, and systemic bias". This is a given reason.

    Step 5: Evaluate Option D. While Paragraph 5 mentions tracking "how many researchers editors have to reach out to", the passage never claims that open data tackles the problem of selecting appropriately qualified reviewers. This is unsupported.

    Step 6: Since the question asks for the EXCEPT option, the unsupported statement is the correct answer.

    Answer: D

    Question 2 · Verbal Ability and Reading Comprehension MCQ
    There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.
    Sentence: This epistemic humility is precisely what prevents dogmatism from taking root.
    Paragraph: The scientific method is often celebrated for its ability to produce definitive truths about the natural world. ___(1)___. However, a closer examination of scientific practice reveals a different foundational virtue. Scientists are trained to treat their most cherished hypotheses as provisional, constantly subjecting them to empirical falsification. ___(2)___. Rather than claiming absolute certainty, the scientific community thrives on the willingness to discard theories when new evidence emerges. ___(3)___. Thus, the true strength of science lies not in its infallibility, but in its systematic capacity for self-correction. ___(4)___.
    1. A.

      Option 1

    2. B.

      Option 2

    3. C.

      Option 3

    4. D.

      Option 4

    Correct Answer:

    B

    Step-by-Step Solution

    Key idea: This is a pronoun antecedent insertion question, recognizable by the demonstrative pronoun "This" paired with an abstract noun ("epistemic humility").

    Step 1: Analyze the missing sentence. "This epistemic humility" must refer to a preceding description of humility, provisionality, or doubt in the face of knowledge.

    Step 2: Scan for the antecedent. The sentence before Blank 2 states: "Scientists are trained to treat their most cherished hypotheses as provisional, constantly subjecting them to empirical falsification." This behavior is the exact definition of "epistemic humility."

    Step 3: Check the forward flow. The sentence following Blank 2 is: "Rather than claiming absolute certainty, the scientific community thrives on the willingness to discard theories..." This elaborates on the consequence of that humility (preventing dogmatism).

    Step 4: Test Blank 2. The sequence is: scientists treat hypotheses as provisional -> This humility prevents dogmatism -> Rather than claiming certainty, they discard theories. The logical chain is unbroken.

    Step 5: Reject other blanks. Blank 1 precedes the introduction of the "different foundational virtue." Blank 3 and 4 come after the argument has already moved to the broader conclusion about self-correction, making the insertion redundant or out of sequence.

    Common trap: Misread condition—assuming "epistemic humility" refers to the general "scientific method" at Blank 1, ignoring that the specific behavior defining it hasn't been introduced yet.

    Answer: Option 2 (B).

    Question 3 · Verbal Ability and Reading Comprehension MCQ
    There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.
    Sentence: This profound silence has led researchers to question the underlying assumptions of our astrobiological models.
    Paragraph: The Fermi Paradox highlights the stark contradiction between the high probability of extraterrestrial civilizations existing in the universe and the complete lack of evidence for, or contact with, such civilizations. ___(1)___. Given the vast number of stars and potentially habitable planets, statistical models suggest that intelligent life should be relatively common. ___(2)___. Yet, despite decades of intensive radio astronomy and space exploration, the cosmos appears remarkably silent. ___(3)___. Some scientists propose the "Great Filter" hypothesis to resolve this tension. ___(4)___. This theory suggests that there is an evolutionary barrier that prevents life from advancing to a stage where interstellar communication is possible.
    1. A.

      Option 1

    2. B.

      Option 2

    3. C.

      Option 3

    4. D.

      Option 4

    Correct Answer:

    C

    Step-by-Step Solution

    Key idea: This is a contradiction and anomaly resolution question, recognisable because it requires placing a sentence that reacts to a stated paradox before a specific hypothesis is introduced to solve it.

    Step 1: Read the missing sentence. It refers to "This profound silence" and states that it has led researchers to "question the underlying assumptions" of their models.

    Step 2: Track the paragraph's flow. It defines the Fermi Paradox (Sentence 1), explains the high probability of life (Sentence 2), states the contradictory observation of a "remarkably silent" cosmos (Sentence 3), introduces the "Great Filter" hypothesis as a resolution (Sentence 4), and explains that hypothesis (Sentence 5).

    Step 3: Identify the gap. The paragraph moves from the observation of silence directly to the "Great Filter" hypothesis. The missing sentence provides the crucial intellectual bridge: the silence causes researchers to question their models, which prompts them to propose new hypotheses like the Great Filter.

    Step 4: Evaluate Blank 3. It sits perfectly after the mention of the "remarkably silent" cosmos and right before the introduction of the "Great Filter" hypothesis. It links the observation (silence) to the reaction (questioning models) that leads to the proposed solution.

    Step 5: Reject other blanks. Blank 1 and 2 come before the "silence" is even mentioned, making "This profound silence" a dangling reference. Blank 4 comes after the specific hypothesis has already been introduced, making the general statement about questioning models feel retroactive and out of order.

    Answer: Option 3 (C).

    Question 4 · Quantitative Ability · 2025 1 MCQ

    A value of for which the minimum value of is greater than the maximum value of , is

    1. A.

    2. B.

    3. C.

    4. D.

    Correct Answer:

    B

    Step-by-Step Solution

    This is a "compare min of an upward parabola with max of a downward parabola" question.

    You recognise it from the wording: "minimum value of f(x)... is greater than the maximum value of g(x)", with both being quadratics that share the parameter c.

    Step 1: Find the minimum of .

    Since the coefficient of is (positive), the parabola opens upward, so it has a minimum at its vertex.

    Vertex: .

    Step 2: Find the maximum of .

    Since the coefficient of is (negative), this parabola opens downward, so it has a maximum at its vertex.

    Vertex: .

    Step 3: Apply the condition .

    Multiply both sides by 4 (positive, so inequality direction stays the same):

    Step 4: Solve the quadratic inequality.

    The roots of are and .

    Since the coefficient of is positive, the expression is negative BETWEEN the roots:

    Step 5: Check the given options against .

    Only falls in this interval ( do not).

    Answer: (option B).

    Common trap: sign errors while multiplying the inequality or mixing up which parabola gives a minimum and which gives a maximum — always check the sign of the coefficient first.

    Question 5 · Quantitative Ability · 2024 Slot 2 MCQ

    When Rajesh's age was same as the present age of Garima, the ratio of their ages was 3 : 2. When Garima's age becomes the same as the present age of Rajesh, the ratio of the ages of Rajesh and Garima will become

    1. A.

      3:2

    2. B.

      4:3

    3. C.

      5:4

    4. D.

      2:1

    Correct Answer:

    C

    Step-by-Step Solution

    Key idea: This is an age ratio timeline question, recognisable because it references past and future ages linked to present ages of two people, with a constant age difference.

    Why this method: The age difference between two people never changes. By identifying this constant difference, we can express all ages at different time points in terms of one variable.

    Step-by-step working:

    1. Define present ages:
    • Let Rajesh's present age = , Garima's present age =
    • Since Rajesh was once as old as Garima is now,
    • Age difference:
    1. Analyse the past condition:
    • "When Rajesh's age was same as present age of Garima" means years ago
    • Rajesh's age then:
    • Garima's age then:
    • Ratio was , so
    1. Solve for the relationship:
    • So
    1. Analyse the future condition:
    • "When Garima's age becomes same as present age of Rajesh" means years from now
    • Rajesh's age then:
    • Garima's age then:
    1. Find the ratio:
    • Ratio =

    Answer: The ratio of ages of Rajesh and Garima will become 5:4.

    Question 6 · Quantitative Ability · 2021 Slot 1 NAT

    If , then 100x equals

    Correct Answer:

    99

    Step-by-Step Solution

    This is a log-with-square-roots simplification question — recognisable because every term involves , which is a strong hint to apply the power rule before doing anything else.

    Step 1 — Rewrite every square-root log using the power rule.

    Step 2 — Simplify the RHS using the power rule and .

    Step 3 — Write the full equation.

    Step 4 — Cancel the identical term on both sides.

    Step 5 — Collect all the terms on one side.

    Step 6 — Solve for .

    Step 7 — Convert to exponential form.

    Step 8 — Solve for x, then for what's asked.

    Trap to avoid: Forgetting the factor that comes from the square root, or splitting incorrectly, are the most common slip-ups here.

    Final answer: .

    Question 7 · Data Interpretation and Logical Reasoning · 2024 Slot 3 NAT
    Common Description: Instructions [30 - 33]
    The table given below shows the amount, in grams, of carbohydrate, protein, fat and all other nutrients, per 100 grams of nutrients in seven food grains. The first column shows the food grain category and the second column its codename. The table has some missing values.
    Food grain CategoryCodename of the food grainCarbohydrateProteinFatOther nutrients
    CerealC1012
    CerealC2310
    MilletM16210
    MilletM2716
    MilletM35612
    Pseudo-cerealP16610
    Pseudo-cerealP2148
    The following additional facts are known.
    1. Both the pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein than any millet.
    2. Both the cereals had higher amounts of carbohydrate than any pseudo-cereal.
    3. All the missing values of carbohydrate amounts (in grams) for all the food grains are non-zero multiples of 5.
    4. All the missing values of protein, fat and other nutrients amounts (in grams) for all the food grains are non-zero multiples of 4.
    5. P1 contained double the amount of protein that M3 contains. How many grams of other nutrients were there in 100 grams of nutrients in M3?
    Correct Answer:

    24

    Step-by-Step Solution

    Key idea: This is a dependent missing-value question in a nutrition table, recognisable by the row-sum constraint (100g) combined with cross-row ratios and divisibility rules.

    Step 1: Define Variables for Linked Rows.

    For M3 (Millet): Carbohydrate = 56, Fat = 12.

    Let Protein = and Other = .

    Sum constraint: .

    For P1 (Pseudo-cereal): Carbohydrate = 66, Other = 10.

    Let Protein = and Fat = .

    Sum constraint: .

    Given: .

    Substituting: .

    Step 2: Apply Divisibility and Positivity Constraints.

    Missing protein, fat, and other values are non-zero multiples of 4.

    Thus, must be a positive multiple of 4.

    Also, .

    Positive multiples of 4 below 12: .

    Step 3: Apply Comparative Constraint.

    Both pseudo-cereals have higher protein than any millet.

    M1 protein = 10. So P1 protein .

    Between and , only satisfies .

    Step 4: Compute M3 Other Nutrients.

    M3 protein .

    M3 other .

    Answer: 24

    Question 8 · Data Interpretation and Logical Reasoning · 2023 Slot 2 NAT
    Common Description: Instructions [40 - 44]
    Anjali, Bipasha, and Chitra visited an entertainment park that has four rides. Each ride lasts one hour and can accommodate one visitor at one point. All rides begin at 9 am and must be completed by 5 pm except for Ride-3, for which the last ride has to be completed by 1 pm. Ride gates open every 30 minutes, e.g. 10 am, 10:30 am, and so on. Whenever a ride gate opens, and there is no visitor inside, the first visitor waiting in the queue buys the ticket just before taking the ride. The ticket prices are Rs. 20, Rs. 50, Rs. 30 and Rs. 40 for Rides 1 to 4, respectively. Each of the three visitors took at least one ride and did not necessarily take all rides. None of them took the same ride more than once. The movement time from one ride to another is negligible, and a visitor leaves the ride immediately after the completion of the ride. No one takes a break inside the park unless mentioned explicitly.
    The following information is also known.
    1. Chitra never waited in the queue and completed her visit by 11 am after spending Rs. 50 to pay for the ticket(s).
    2. Anjali took Ride-1 at 11 am after waiting for 30 mins for Chitra to complete it. It was the only ride where Anjali waited.
    3. Bipasha began her first of three rides at 11:30 am. All three visitors incurred the same amount of ticket expense by 12:15 pm.
    4. The last ride taken by Anjali and Bipasha was the same, where Bipasha waited 30 mins for Anjali to complete her ride. Before standing in the queue for that ride, Bipasha took a 1-hour coffee break after completing her previous ride. What was the total amount spent on tickets (in Rs.) by Anjali?
    Correct Answer:

    140

    Step-by-Step Solution

    Key idea: Time-slot scheduling with queue logic and expense tracking.

    Step 1: Trace Chitra. Chitra spent 50 and never waited. Anjali waited 30 mins for Chitra to finish Ride-1 at 11 am. This means Chitra was on Ride-1 from 10:00 to 11:00. Since Ride-1 costs 20, Chitra's other ride must cost 30 (Ride-3). Chitra took Ride-3 from 9:00 to 10:00.

    Step 2: Trace Anjali's early moves. Anjali takes Ride-1 from 11:00 to 12:00 (cost 20). By 12:15 pm, all three visitors incurred the same amount. Chitra spent 50 total. So Anjali must also spend 50 by 12:15. Anjali buys her next ticket at 12:00. To reach 50, she must buy the 30 Rs ticket (Ride-3). Anjali takes Ride-3 from 12:00 to 13:00.

    Step 3: Trace Bipasha's early moves. Bipasha starts at 11:30. To spend 50 by 12:15, she must buy the 50 Rs ticket (Ride-2) at 11:30. Bipasha takes Ride-2 from 11:30 to 12:30.

    Step 4: Map the afternoon timeline. Bipasha takes 3 rides total. After Ride-2 (ends 12:30), she takes Ride-4 from 12:30 to 13:30. She then takes a 1-hour break (13:30 to 14:30). She then waits 30 mins for Anjali to complete a ride. She joins the queue at 14:30, waits 30 mins, and enters at 15:00. This requires Anjali to finish a ride exactly at 15:00.

    Step 5: Trace Anjali's continuous rides. Anjali never waits, so she takes rides continuously: 11-12 (R1), 12-13 (R3), 13-14 (R4), 14-15 (R2). Anjali finishes Ride-2 at 15:00. Bipasha waits from 14:30 to 15:00. At 15:00, Bipasha enters her 3rd and final ride.

    Step 6: Calculate Anjali's total spend. Rides: R1 (20) + R3 (30) + R4 (40) + R2 (50) = 140.

    Answer: 140

    Question 9 · Data Interpretation and Logical Reasoning MCQ

    Eight people, A through H, sit in a circle facing the center.

    1. A sits rd to the left of B.
    2. C sits immediate right of D.
    3. E sits exactly between A and F in the shorter path.
    4. G sits rd to the left of F.
    5. H sits opposite A.

    Who sits nd to the right of H?

    1. A.

      A

    2. B.

      B

    3. C.

      C

    4. D.

      D

    Correct Answer:

    C

    Step-by-Step Solution

    Key idea: This is a complex anchor placement problem. We must use the relative clues to fix the positions of all people, then answer the specific directional question.

    Step 1: Setup and Basic Placements

    • 8 seats. Facing center: Left = CW (+), Right = CCW (-).
    • Let B be at seat 1.
    • A is 3rd to the left of B. Left is CW (+). So A is at .
    • H is opposite A. Opposite means . So H is at .

    Step 2: Place F and E

    • E sits exactly between A and F in the shorter path. This means the distance between A and F must be 2 seats (so there is exactly 1 seat between them).
    • A is at 4. So F must be at or .
    • G sits 3rd to the left of F. Left is CW (+). So G = F + 3.
    • Let's test the two cases for F:
    • Case 1: F = 2. Then G = 2 + 3 = 5. E is between A(4) and F(2) -> E = 3.
    • Occupied so far: B(1), F(2), E(3), A(4), G(5), H(8).
    • Remaining seats: 6, 7. Remaining people: C, D.
    • Case 2: F = 6. Then G = 6 + 3 = 9 = 1. But B is at 1! Contradiction.
    • So Case 1 is the only valid arrangement.

    Step 3: Place C and D

    • Remaining seats are 6 and 7. Remaining people are C and D.
    • C sits immediate right of D. Right is CCW (-). So C = D - 1.
    • If D = 7, then C = 7 - 1 = 6. This works perfectly.
    • Final arrangement: B(1), F(2), E(3), A(4), G(5), C(6), D(7), H(8).

    Step 4: Answer the Specific Question

    • We need the person 2nd to the right of H.
    • H is at 8. Right is CCW (-).
    • .
    • The person at seat 6 is C.

    Answer: C

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    Mock Test 1 for CAT: 68 Questions with Solutions & Analysis

    Attempt the Mock Test 1 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
    2024 Slot 2 PYQ
    Level 3: Exam Standard
    Common Description: The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.
    The job of a peer reviewer is thankless. Collectively, academics spend around 70 million hours every year evaluating each other’s manuscripts on the behalf of scholarly journals — and they usually receive no monetary compensation and little if any recognition for their effort. Some do it as a way to keep abreast with developments in their field; some simply see it as a duty to the discipline. Either way, academic publishing would likely crumble without them.
    In recent years, some scientists have begun posting their reviews online, mainly to claim credit for their work. Sites like Publons allow researchers to either share entire referee reports or simply list the journals for whom they’ve carried out a review…. The rise of Publons suggests that academics are increasingly placing value on the work of peer review and asking others, such as grant funders, to do the same. While that’s vital in the publish-or-perish culture of academia, there’s also immense value in the data underlying peer review. Sharing peer review data could help journals stamp out fraud, inefficiency, and systemic bias in academic publishing….
    Peer review data could also help root out bias. Last year, a study based on peer review data for nearly 24,000 submissions to the biomedical journal eLife found that women and non- Westerners were vastly underrepresented among peer reviewers. Only around one in every five reviewers was female, and less than two percent of reviewers were based in developing countries…. Openly publishing peer review data could perhaps also help journals address another problem in academic publishing: fraudulent peer reviews. For instance, a minority of authors have been known to use phony email addresses to pose as an outside expert and review their own manuscripts.…
    Opponents of open peer review commonly argue that confidentiality is vital to the integrity of the review process; referees may be less critical of manuscripts if their reports are published, especially if they are revealing their identities by signing them. Some also hold concerns that open reviewing may deter referees from agreeing to judge manuscripts in the first place, or that they’ll take longer to do so out of fear of scrutiny….
    Even when the content of reviews and the identity of reviewers can’t be shared publicly, perhaps journals could share the data with outside researchers for study. Or they could release other figures that wouldn’t compromise the anonymity of reviews but that might answer important questions about how long the reviewing process takes, how many researchers editors have to reach out to on average to find one who will carry out the work, and the geographic distribution of peer reviewers.
    Of course, opening up data underlying the reviewing process will not fix peer review entirely, and there may be instances in which there are valid reasons to keep the content of peer reviews hidden and the identity of the referees confidential. But the norm should shift from opacity in all cases to opacity only when necessary. According to the passage, which of the following is the only reason NOT given in favour of making peer review data public?
    Question 2
    Level 3: Exam Standard
    There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.
    Sentence: This epistemic humility is precisely what prevents dogmatism from taking root.
    Paragraph: The scientific method is often celebrated for its ability to produce definitive truths about the natural world. ___(1)___. However, a closer examination of scientific practice reveals a different foundational virtue. Scientists are trained to treat their most cherished hypotheses as provisional, constantly subjecting them to empirical falsification. ___(2)___. Rather than claiming absolute certainty, the scientific community thrives on the willingness to discard theories when new evidence emerges. ___(3)___. Thus, the true strength of science lies not in its infallibility, but in its systematic capacity for self-correction. ___(4)___.
    Question 3
    Level 3: Exam Standard
    There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.
    Sentence: This profound silence has led researchers to question the underlying assumptions of our astrobiological models.
    Paragraph: The Fermi Paradox highlights the stark contradiction between the high probability of extraterrestrial civilizations existing in the universe and the complete lack of evidence for, or contact with, such civilizations. ___(1)___. Given the vast number of stars and potentially habitable planets, statistical models suggest that intelligent life should be relatively common. ___(2)___. Yet, despite decades of intensive radio astronomy and space exploration, the cosmos appears remarkably silent. ___(3)___. Some scientists propose the "Great Filter" hypothesis to resolve this tension. ___(4)___. This theory suggests that there is an evolutionary barrier that prevents life from advancing to a stage where interstellar communication is possible.
    Question 4
    2025-1 PYQ
    Level 3: Exam Standard

    A value of for which the minimum value of is greater than the maximum value of , is

    Question 5
    2024 Slot 2 PYQ
    Level 3: Exam Standard

    When Rajesh's age was same as the present age of Garima, the ratio of their ages was 3 : 2. When Garima's age becomes the same as the present age of Rajesh, the ratio of the ages of Rajesh and Garima will become

    Question 6
    2021 Slot 1 PYQ
    Level 3: Exam Standard

    If , then 100x equals

    Question 7
    2024 Slot 3 PYQ
    Level 3: Exam Standard
    Common Description: Instructions [30 - 33]
    The table given below shows the amount, in grams, of carbohydrate, protein, fat and all other nutrients, per 100 grams of nutrients in seven food grains. The first column shows the food grain category and the second column its codename. The table has some missing values.
    Food grain CategoryCodename of the food grainCarbohydrateProteinFatOther nutrients
    CerealC1012
    CerealC2310
    MilletM16210
    MilletM2716
    MilletM35612
    Pseudo-cerealP16610
    Pseudo-cerealP2148
    The following additional facts are known.
    1. Both the pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein than any millet.
    2. Both the cereals had higher amounts of carbohydrate than any pseudo-cereal.
    3. All the missing values of carbohydrate amounts (in grams) for all the food grains are non-zero multiples of 5.
    4. All the missing values of protein, fat and other nutrients amounts (in grams) for all the food grains are non-zero multiples of 4.
    5. P1 contained double the amount of protein that M3 contains. How many grams of other nutrients were there in 100 grams of nutrients in M3?
    Question 8
    2023 Slot 2 PYQ
    Level 3: Exam Standard
    Common Description: Instructions [40 - 44]
    Anjali, Bipasha, and Chitra visited an entertainment park that has four rides. Each ride lasts one hour and can accommodate one visitor at one point. All rides begin at 9 am and must be completed by 5 pm except for Ride-3, for which the last ride has to be completed by 1 pm. Ride gates open every 30 minutes, e.g. 10 am, 10:30 am, and so on. Whenever a ride gate opens, and there is no visitor inside, the first visitor waiting in the queue buys the ticket just before taking the ride. The ticket prices are Rs. 20, Rs. 50, Rs. 30 and Rs. 40 for Rides 1 to 4, respectively. Each of the three visitors took at least one ride and did not necessarily take all rides. None of them took the same ride more than once. The movement time from one ride to another is negligible, and a visitor leaves the ride immediately after the completion of the ride. No one takes a break inside the park unless mentioned explicitly.
    The following information is also known.
    1. Chitra never waited in the queue and completed her visit by 11 am after spending Rs. 50 to pay for the ticket(s).
    2. Anjali took Ride-1 at 11 am after waiting for 30 mins for Chitra to complete it. It was the only ride where Anjali waited.
    3. Bipasha began her first of three rides at 11:30 am. All three visitors incurred the same amount of ticket expense by 12:15 pm.
    4. The last ride taken by Anjali and Bipasha was the same, where Bipasha waited 30 mins for Anjali to complete her ride. Before standing in the queue for that ride, Bipasha took a 1-hour coffee break after completing her previous ride. What was the total amount spent on tickets (in Rs.) by Anjali?
    Question 9
    Level 3: Exam Standard

    Eight people, A through H, sit in a circle facing the center.

    1. A sits rd to the left of B.
    2. C sits immediate right of D.
    3. E sits exactly between A and F in the shorter path.
    4. G sits rd to the left of F.
    5. H sits opposite A.

    Who sits nd to the right of H?

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