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CAT Exam  >  CAT Test  >   Mock Test Series 2026  >  CAT Mini Mock Test - 1 - CAT MCQ

CAT Mini Mock Test - 1 Free Online Test 2026


Full Mock Test & Solutions: CAT Mini Mock Test - 1 (30 Questions)

You can boost your CAT 2026 exam preparation with this CAT Mini Mock Test - 1 (available with detailed solutions).. This mock test has been designed with the analysis of important topics, recent trends of the exam, and previous year questions of the last 3-years. All the questions have been designed to mirror the official pattern of CAT 2026 exam, helping you build speed, accuracy as per the actual exam.

Mock Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 60 minutes
  • - Total Questions: 30
  • - Analysis: Detailed Solutions & Performance Insights
  • - Sections covered: Verbal and RC, DI and LR, Quantitative Aptitude

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CAT Mini Mock Test - 1 - Question 1
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Which of the following can be best inferred about Thomas Szasz terming mental illnesses as 'problems of living'?

Detailed Solution: Question 1

(1) - This cannot be inferred. In fact, Szasz completely ignores presence of any mental illness. According to him, what our personal conflicts lead to are simply 'problems' instead of 'illnesses'.
(2) - This can be inferred. According to Szasz, what people experience are daily problems, but they are made to look like mental illnesses, where otherwise no such thing exists.
(3) - This cannot be inferred. Again, Szasz does not believe in mental illnesses. Hence, even if an individual continues to experience distressing situations, 'mental illnesses' cannot exist.
(4) - No such view is inferable. Whether it is a result of personal or non personal experience, in no case can it be termed mental illness.

CAT Mini Mock Test - 1 - Question 2
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In the statement 'mental illnesses are mental only in that they are psychiatric', what is the author trying to imply?

Detailed Solution: Question 2

(1) - This cannot be inferred. Although a problem to be dealt by psychiatrist does fall under the ambit of mental illness, it cannot be assumed that other doctors would be incapable of doing so.
(2) - Here, the success of treatment is not under discussion. The psychiatrist may/may not be successful. However, just because he was deemed capable of treating a problem makes it a mental problem.
(3) - This is what the author is implying. Mental problem is mental because it is dealt by a 'psychiatrist'. It has nothing to do with what actually constitutes a mental problem, rather the simple fact that it is treatable by a psychiatrist makes it a mental problem.
(4) - This cannot be inferred. Again, no comparison between abilities of other doctors and psychiatrists to solve mental problems is mentioned or inferable.

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CAT Mini Mock Test - 1 - Question 3
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Which of the following, in context of the passage, would justify terming an illness as 'mental illness'?

Detailed Solution: Question 3

The author is of the opinion that mental illnesses are not necessarily related to the 'mind'. In fact, an illness can be termed as 'mental' if it is solely or sufficiently capable to be treated by a psychiatrist. Even problems related to factors considered mental, like 'perception', may not be termed mental illnesses if they are not sufficiently treatable by psychiatrists. For example: deafness etc. On the other hand, even physiological pains can be termed mental if they are better treated by psychiatrists.
Option 1 - accurately details this phenomenon.
Option 2 - This adopts a narrow view and fails to answer the question.
Option 3 - This cannot be inferred. It fails to justify naming an illness as mental illness.
Option 4 - Nothing about 'treatment' aspect can be inferred from the statement.

CAT Mini Mock Test - 1 - Question 4
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Which of the following statements is the author most likely to disagree with?

Detailed Solution: Question 4

(1) - This is what the author means. He does not contest the mental illnesses. Rather, he contests when a particular illness is indeed a mental illness. It may be that such illness may not be present, but as it can be treated by a psychiatrist, it is indeed a mental illness.
(2) - This can be inferred from, 'Perception is generally considered . . . deafness and blindness,' in the 2nd paragraph.
(3) - This can be inferred. The passage indicates that people want that doctors should indeed regard their illness as mental irrespective of the stigmatizing conditions.
(4) - This cannot be inferred and is far fetched as it incorrectly assumes the basis for doctors not recommending an illness as mental.

CAT Mini Mock Test - 1 - Question 5
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According to the author of the passage, higher education is considered a "wise choice" in the United States because

Detailed Solution: Question 5

According to the passage, 'Higher education in the United States is viewed as a wise choice, as it invests in one's future and gains an asset that will be one's stronghold when climbing up the social ladder. Many high school graduates do not have an opportunity to continue their education right away. Therefore, when a person has already achieved a stable career and knows exactly what it is he or she wants to deepen their knowledge in, he or she has the right to continue.' Therefore option 1 is the right answer.
Option 2 is incorrect because it is not the reason that the author terms higher education as a 'wise choice'. It is more like a passing reference than an actual reason.
Option 3 is incorrect because it doesn't answer the question even though it is mentioned in the passage.
Option 4 is incorrect because it is not mentioned in the passage.

CAT Mini Mock Test - 1 - Question 6
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Each of the following statements can be derived about studying from the passage EXCEPT:

Detailed Solution: Question 6

Option 1 is mentioned in the passage as "Studying is one of the main tools used to gain knowledge in a variety of subjects, notions, and the world around us in general."
Option 2 is mentioned in the passage as "It [studying] is the basic channel of perception of reality..."
Option 3 is mentioned in the passage as "Higher education in the United States is viewed as a wise choice, as it invests in one's future and gains an asset that will be one's stronghold when climbing up the social ladder."
All the options, except option 4, are discussed in the passage. Therefore, option 4 is the right answer. The author only mentions that it is reasonable to further one's education and not that people are willing to further their education. In fact, he states, "Many high school graduates do not have an opportunity to continue their education right away."

CAT Mini Mock Test - 1 - Question 7
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Which of the following statements can be inferred from the information provided in the passage

Detailed Solution: Question 7

Option 1 is incorrect because it contains the "have to". There's no such necessary condition. In fact the passage states "Choosing to be a student in many cases means you 'are willing' and able to take on the whole package,...".
Option 2 is incorrect because the opposite of this is mentioned in the passage. Refer to the lines: "...otherwise you risk feeling like an outcast and dropping out of school...".
Option 3 is incorrect because we don't know whether this is true for "most of the classes...and lecturers".
Option 4 is correct as it can be inferred from "When you consider applying to a specific university after a certain age, when the above mentioned happenings become of a lesser value to you, look at those institutions that are more flexible and do not require living on campus and fully engaging in the academic and non-academic sides of university life."

CAT Mini Mock Test - 1 - Question 8
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As stated in the passage, the author believes that after a certain age

Detailed Solution: Question 8

Option 1 is incorrect because the passage does not necessitate learning and gaining knowledge for everyone. It is just an advisory and it qualifies its advice by stating that one must pursue it if one has the time and the resources for it.
Option 2 is correct. The example given at the very outset highlights the point that it is never too late to study. The passage states some handicaps for studies beyond a certain age. Yet it concludes by saying that if there is "dedication, motivation, and persistence to become a student at a later stage in life," the handicaps cannot be "an insurmountable barrier in the path of one's self-actualisation." Therefore, option 2 is the right answer.
Option 3 is incorrect because the opposite is mentioned in the passage. Refer to the line "Another factor that might get in the way of effective studying after a certain age is your capabilities. ... It is a known fact that with age, our memory, attention, and ability to learn may decrease greatly - studying may become a much more difficult challenge than it could have been when we were younger."
Option 4 is incorrect because it is rather extreme to say that memory decreases 'greatly' making one 'incapable'. Such claims have not been made in the passage.

*Answer can only contain numeric values
CAT Mini Mock Test - 1 - Question 9
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Five jumbled-up sentences, related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd one out and key in the number of the sentence as your answer.

1. Climate change's repercussions are manifesting globally, evidenced by increased extreme weather events.

2. Ice caps are melting at an unprecedented rate, contributing to rising sea levels.

3. Addressing this requires a drastic reduction in greenhouse gas emissions and a shift towards sustainable practices.

4. Governments worldwide are grappling with economic challenges posed by necessary policy changes.

5. Deforestation continues unabated in many regions, further exacerbating the planet's ecological balance.


Detailed Solution: Question 9

Statements 1, 2, 3, and 5 are directly discussing the environmental impacts of climate change, the urgency of corrective actions, and specific issues like melting ice caps and deforestation. Statement 4, while related to climate change, shifts focus to the economic aspect and policy challenges faced by governments, which is a tangent from the ecological discussion present in the other statements.

CAT Mini Mock Test - 1 - Question 10
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Directions: The passage given below is followed by four alternative summaries. Choose the option that best captures the essence of the passage.

Punishment in society is typically seen as a method to correct the fracture of societal harmony. This fracture occurs when there is a threat to the shared values, morals, norms and the identity of the group and/or society. The state has regulated society's shared norms and values, and those who commit these infractions are subjected to degrees of punishment: whether it be fines, community service, prison time, and sometimes death at the hands of the state. Other than punishment being a method of correcting threats to societal harmony, punishment can reveal the relationship between how actors, institutions, administrative tactics, and social mechanisms create society, more specifically, how it establishes and perpetuates inequality amongst the people.

Detailed Solution: Question 10

The passage talks about how punishment has a dual role, of correcting the fractures or inconsistencies experienced in the social realm along with its use for understanding the relationships between different members of the society and what leads to inequality among them. So option 1 is correct. The passage does not convey that states are "deliberately establishing and perpetuating inequality" (option 2), or the role of punishment being unrealised (option 3), or whether punishment is 'effective' (option 4).

*Answer can only contain numeric values
CAT Mini Mock Test - 1 - Question 11
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Directions: The four sentences (labelled 1, 2, 3 and 4) given in this question, when properly sequenced, form a coherent paragraph. Decide on the proper order for the sentences and key in this sequence of four numbers as your answer.

1. The study suggests that the disease did not spread with such intensity, but that it may have driven human migrations across Europe and Asia.

2. The oldest sample came from an individual who lived in southeast Russia about 5,000 years ago.

3. In the analysis of fragments of DNA from 101 Bronze Age skeletons for sequences from Yersinia pestis, the bacterium that causes the disease, seven tested positive.

4. DNA from Bronze Age human skeletons indicate that the black plague could have emerged as early as 3,000 BCE, long before the epidemic that swept through Europe in the mid-1300s.


Detailed Solution: Question 11

The opener in this case will be 4 as it introduces the topic of the discussion i.e. when black plague emerged and it even compares black plague that happened in the 3000 BCE with the one that happened in Europe in the mid-1300s. The words 'spread with such intensity' and 'Europe' in 1 refer to 'epidemic that swept through Europe in the mid-1300s' in 4. It explains that the black plague observed in 3000 BCE 'did not spread with such intensity' as it happened in the mid-1300s. So, statement 1 follows 4. Following 4 and 1, the third sentence refers to the DNA from Bronze Age that was first discussed in 4, so 3 will come after 1 as 4 and 1 are already linked. Next in sentence 2 we have 'the oldest sample' which should connect with the samples mentioned before and we find the reference in 3 seven tested positive. So the correct order is 4132.

CAT Mini Mock Test - 1 - Question 12
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Directions to Solve

In an Exhibition seven cars of different companies - Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo are standing facing to east in the following order :

  1. Cadillac is next to right of Fargo.
  2. Fargo is fourth to the right of Fiat.
  3. Maruti car is between Ambassador and Bedford.
  4. Fiat which is third to the left of Ambassador, is at one end.

Question - Which of the cars are on both the sides of cadillac car?

Detailed Solution: Question 12

To solve this problem, let's start by determining the positions of the cars based on the given clues:

  1. "Cadillac is next to the right of Fargo."

    • This means Cadillac is immediately to the right of Fargo.

  2. "Fargo is fourth to the right of Fiat."

    • If we assume Fiat is at position 1, then Fargo will be at position 5 (1+4).

  3. "Maruti car is between Ambassador and Bedford."

    • This means Maruti is positioned between Ambassador and Bedford.

  4. "Fiat which is third to the left of Ambassador, is at one end."

    • Fiat must be at one end of the row, and since it is third to the left of Ambassador, Ambassador must be three positions to the right of Fiat.

Let's use these clues to position the cars:

  1. Assume Fiat is at position 1 (one end of the row). Then Fargo must be at position 5 (1+4).

  2. Since Cadillac is immediately to the right of Fargo, Cadillac must be at position 6.

  3. Ambassador must be three positions to the right of Fiat. If Fiat is at position 1, Ambassador must be at position 4.

  4. Maruti must be between Ambassador and Bedford. Since Ambassador is at position 4, Bedford must be either at position 2 or 3, and Maruti must be in between them.

  5. Placing the remaining cars:

    • Fiat at position 1.
    • Fargo at position 5.
    • Cadillac at position 6.
    • Ambassador at position 4.

Since Maruti must be between Ambassador and Bedford, the only valid positions for Bedford are 2 and 3:

  • Bedford can be at position 2 and Maruti at position 3.
  • This makes Mercedes the remaining car at position 7.

So, the arrangement of cars from left to right is:

  1. Fiat
  2. Bedford
  3. Maruti
  4. Ambassador
  5. Fargo
  6. Cadillac
  7. Mercedes

With Cadillac at position 6, the cars on both sides of Cadillac are:

Fargo (position 5) and Mercedes (position 7).

So the correct answer is:

  1. Fargo and Mercedes

CAT Mini Mock Test - 1 - Question 13
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Directions to Solve

In an Exhibition seven cars of different companies - Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo are standing facing to east in the following order :

  1. Cadillac is next to right of Fargo.
  2. Fargo is fourth to the right of Fiat.
  3. Maruti car is between Ambassador and Bedford.
  4. Fiat which is third to the left of Ambassador, is at one end.

Question - Which of the following statement is correct?

Detailed Solution: Question 13

Therefore, Maruti is next left of Ambassador.

CAT Mini Mock Test - 1 - Question 14
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Directions to Solve

In an Exhibition seven cars of different companies - Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo are standing facing to east in the following order :

  1. Cadillac is next to right of Fargo.
  2. Fargo is fourth to the right of Fiat.
  3. Maruti car is between Ambassador and Bedford.
  4. Fiat which is third to the left of Ambassador, is at one end.

Question - Which one of the following is the correct position of Mercedes?

Detailed Solution: Question 14

The correct position of Mercedes is fourth to the right of Maruti.

CAT Mini Mock Test - 1 - Question 15
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Directions to Solve

In an Exhibition seven cars of different companies - Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo are standing facing to east in the following order :

  1. Cadillac is next to right of Fargo.
  2. Fargo is fourth to the right of Fiat.
  3. Maruti car is between Ambassador and Bedford.
  4. Fiat which is third to the left of Ambassador, is at one end.

Question - Which one of the following statements is correct?

Detailed Solution: Question 15

Therefore, Cadillac is next left to Mercedes car.

CAT Mini Mock Test - 1 - Question 16
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Directions to Solve

In an Exhibition seven cars of different companies - Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo are standing facing to east in the following order :

  1. Cadillac is next to right of Fargo.
  2. Fargo is fourth to the right of Fiat.
  3. Maruti car is between Ambassador and Bedford.
  4. Fiat which is third to the left of Ambassador, is at one end.

Question - Which of the following groups of cars is to the right of Ambassador?

Detailed Solution: Question 16

Mercedes, Cadillac and Fargo cars are to the right of Ambassador.

CAT Mini Mock Test - 1 - Question 17
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Which students did not appear for the English examination?

Detailed Solution: Question 17

 

Step 1: Applying Condition II

  • Based on Condition II, we understand that the student who missed the Mathematics examination did not miss any other examination.

  • This indicates that the Maths score is bound to be the average of the best 3 out of the 4 exam scores obtained by this candidate.

  • Based on this inference, we can proceed with identifying the math score that can be represented as an average of the rest of the scores.

  • We can straightaway eliminate Deep and Esha as potential candidates, given that their Mathematics score is greater than the rest of the exam scores.

Step 2: Identifying the Student Who Missed Mathematics

  • After estimating the average scores for the rest of the candidates, we observe that only Carl has missed his Mathematics examination.

For Carl:

  • Best 3 out of 4 → 80 (Hindi), 90 (Social Science), 100 (Science)

  • Avg. = 270/3 = 90, which matches the given value

  • ∴ Carl missed his Mathematics examination.

Step 3: Applying Condition III

  • Based on Condition III, we can surmise that the student who missed Hindi and Science should have similar average scores in these two subjects.

  • We notice that Alva has the same score of 75 in both Hindi and Science.

  • The same can be said about Deep, who has a score of 90 in both these subjects.

  • Thus, one out of Alva and Deep missed out on Hindi and Science examination, while the second individual missed out only on the Hindi examination.

Step 4: Determining Who Missed English

  • Since we know that Carl, Alva and Deep are unlikely to have missed out on the English exam, we can divert our attention to determining which individual out of Bithi, Esha and Foni failed to appear for this subject.

  • However, we notice that Bithi's English score is greater than the rest of her scores, thereby helping us eliminate her as the potential candidate.

For Esha:

  • Best 3 out of 4 → 85 (Hindi), 95 (Mathematics), 60 (Science)

  • Avg. = 240/3 = 80, which matches the given value

  • ∴ Esha most likely missed her English examination.

For Foni:

  • Best 3 out of 4 → 78 (Mathematics), 83 (Social Science), 88 (Science)

  • Avg. = 249/3 = 83, which matches the given value

  • ∴ Foni most likely missed her English examination.

Step 5: Applying Condition I

  • Based on Condition I, we know that exactly two candidates missed the examinations for English, Hindi, Science, and Social Science.

  • For English, we determined these individuals to be Esha and Foni.

  • For Hindi, we determined these individuals to be Alva and Deep.

  • For Science, we know one of the individuals is either Alva or Deep.

  • Given that Carl, Alva and Deep cannot be a part of the group that missed Science or Social Science exam, we can proceed by carefully scrutinizing the rest of the group that includes Bithi, Esha and Foni.

Step 6: Checking Bithi and Foni

  • We notice that Bithi has a similar score in both Science and Social Science examination.

  • Assuming that she did miss these exams, let us proceed to check if this was actually the case.

For Bithi:

  • Best 2 out 3 → 90 (English), 80 (Hindi)

  • Avg. = 170/2 = 85, which matches the given value

  • ∴ Bithi is likely to have missed her Science and Social Science examinations.

  • We additionally notice that Foni has a similar score in English and Social Science.

  • On considering the best 2 out of 3 scores, the average value of the score for both the subject holds (equal to 83).

  • Thus, we can conclude that Bithi and Foni missed their Social Science examination.

Step 7: Final Conclusion

  • The students who missed just one exam were:

    • Carl (Mathematics)

    • Esha (English)

    • One out of Alva and Deep (Hindi)

  • Hence of the six students, we can correctly determine the missed subjects for four of them (except Alva and Deep):

    • Mathematics → Carl

    • English → Esha & Foni

    • Hindi → Alva & Deep

    • Science → Bithi & one out of Alva and Deep

    • Social Science → Foni & Bithi

Hence, the correct answer to this question is Option D: Esha and Foni.

CAT Mini Mock Test - 1 - Question 18
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What BEST can be concluded about the students who missed the Science examination?

Detailed Solution: Question 18

 

Step 1: Applying Condition II

  • Based on Condition II, we understand that the student who missed the Mathematics examination did not miss any other examination.

  • This indicates that the Maths score is bound to be the average of the best 3 out of the 4 exam scores obtained by this candidate.

  • Based on this inference, we can proceed with identifying the math score that can be represented as an average of the rest of the scores.

  • We can straightaway eliminate Deep and Esha as potential candidates, given that their Mathematics score is greater than the rest of the exam scores.

Step 2: Identifying the Student Who Missed Mathematics

  • After estimating the average scores for the rest of the candidates, we observe that only Carl has missed his Mathematics examination.

For Carl:

  • Best 3 out of 4 → 80 (Hindi), 90 (Social Science), 100 (Science)

  • Avg. = 270/3 = 90 which matches the given value

  • ∴ Carl missed his Mathematics examination.

Step 3: Applying Condition III

  • Based on Condition III, we can surmise that the student who missed Hindi and Science should have similar average scores in these two subjects.

  • We notice that Alva has the same score of 75 in both Hindi and Science.

  • The same can be said about Deep, who has a score of 90 in both these subjects.

  • Thus, one out of Alva and Deep missed out on Hindi and Science examination, while the second individual missed out only on the Hindi examination.

Step 4: Determining Who Missed English

  • Since we know that Carl, Alva and Deep are unlikely to have missed out on the English exam, we can divert our attention to determining which individual out of Bithi, Esha and Foni failed to appear for this subject.

  • However, we notice that Bithi's English score is greater than the rest of her scores, thereby helping us eliminate her as the potential candidate.

For Esha:

  • Best 3 out of 4 → 85 (Hindi), 95 (Mathematics), 60 (Science)

  • Avg. = 240/3 = 80 which matches the given value

  • ∴ Esha most likely missed her English examination.

For Foni:

  • Best 3 out of 4 → 78 (Mathematics), 83 (Social Science), 88 (Science)

  • Avg. = 249/3 = 83 which matches the given value

  • ∴ Foni most likely missed her English examination.

Step 5: Applying Condition I

  • Based on Condition I, we know that exactly two candidates missed the examinations for English, Hindi, Science, and Social Science.

  • For English, we determined these individuals to be Esha and Foni.

  • For Hindi, we determined these individuals to be Alva and Deep.

  • For Science, we know one of the individuals is either Alva or Deep.

  • Given that Carl, Alva and Deep cannot be a part of the group that missed Science or Social Science exam, we can proceed by carefully scrutinizing the rest of the group that includes Bithi, Esha and Foni.

Step 6: Checking Bithi and Foni

  • We notice that Bithi has a similar score in both Science and Social Science examination.

  • Assuming that she did miss these exams, let us proceed to check if this was actually the case.

For Bithi:

  • Best 2 out 3 → 90 (English), 80 (Hindi)

  • Avg. = 170/2 = 85 which matches the given value

  • ∴ Bithi is likely to have missed her Science and Social Science examinations.

  • We additionally notice that Foni has a similar score in English and Social Science.

  • On considering the best 2 out of 3 scores, the average value of the score for both the subject holds (equal to 83).

  • Thus, we can conclude that Bithi and Foni missed their Social Science examination.

Step 7: Final Conclusion

  • The students who missed just one exam were:

    • Carl (Mathematics)

    • Esha (English)

    • One out of Alva and Deep (Hindi)

  • Hence of the six students, we can correctly determine the missed subjects for four of them (except Alva and Deep):

    • Mathematics → Carl

    • English → Esha & Foni

    • Hindi → Alva & Deep

    • Science → Bithi & one out of Alva and Deep

    • Social Science → Foni & Bithi

Hence, the correct answer to this question is Option A: Bithi & one out of Alva and Deep.

CAT Mini Mock Test - 1 - Question 19
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Who among the following did not appear for the Mathematics examination?

Detailed Solution: Question 19

 

Step 1: Understanding the Condition

  • Based on Condition II, we understand that the student who missed the Mathematics examination did not miss any other examination.

  • This indicates that the Maths score is bound to be the average of the best 3 out of the 4 exam scores obtained by this candidate.

  • Based on this inference, we can proceed with identifying the Math score that can be represented as an average of the rest of the scores.

  • We can straightaway eliminate Deep and Esha as potential candidates, given that their Mathematics score is greater than the rest of the exam scores.

Step 2: Checking Each Candidate

For Alva

  • Best 3 out of 4: 80 (English), 75 (Hindi), 75 (Science)

  • Average = 230 ÷ 3 = 76.67 ≠ 70

For Carl

  • Best 3 out of 4: 80 (Hindi), 90 (Social Science), 100 (Science)

  • Average = 270 ÷ 3 = 90, which matches the given value

  • ∴ Carl most likely missed his Mathematics examination.

For Foni

  • Best 3 out of 4: 83 (English), 83 (Social Science), 88 (Science)

  • Average = 254 ÷ 3 = 84.67 ≠ 78

Step 3: Conclusion

  • Hence, we observe that only Carl has missed his Mathematics examination.

  • Therefore, Option B is the correct answer.

CAT Mini Mock Test - 1 - Question 20
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What BEST can be concluded about the students who did not appear for the Hindi examination?

Detailed Solution: Question 20

 

Step 1: Identify who missed Mathematics

  • Condition II: The student who missed the Mathematics exam did not miss any other exam.
    → Therefore, their Math score must equal the average of their best 3 out of 4 scores.

  • Observation:

    • Deep and Esha can be eliminated, as their Mathematics score is higher than their other scores.

    • After checking others, only Carl’s scores fit this condition.

  • For Carl:
    Best 3 out of 4 = Hindi (80), Social Science (90), Science (100)
    Average = 270 ÷ 3 = 90, which matches the given Math score.
    ∴ Carl missed the Mathematics exam.

Step 2: Identify who missed Hindi and Science

  • Condition III: The student who missed Hindi and Science must have similar averages in both.

  • Observations:

    • Alva → Hindi = 75, Science = 75

    • Deep → Hindi = 90, Science = 90
      → Therefore, one of them missed both Hindi & Science, while the other missed only Hindi.

Step 3: Identify who missed English

  • Carl, Alva, and Deep did not miss English.

  • Remaining candidates: Bithi, Esha, and Foni.

  • Elimination:

    • Bithi’s English score is higher than her other scores → cannot be the missed one.

  • Check remaining:

    • Esha: Best 3 out of 4 = Hindi (85), Math (95), Science (60)
      Average = 240 ÷ 3 = 80 (matches) → Esha missed English.

    • Foni: Best 3 out of 4 = Math (78), Social Science (83), Science (88)
      Average = 249 ÷ 3 = 83 (matches) → Foni missed English.

∴ Esha and Foni missed English.

Step 4: Identify who missed Social Science

  • Condition I: Exactly 2 students missed each of the exams (English, Hindi, Science, Social Science).

  • Already known:

    • English → Esha & Foni

    • Hindi → Alva & Deep

    • Science → (to be confirmed)

    • Social Science → (to be confirmed)

  • Check candidates:

    • Bithi: Science (85), Social Science (85) → possible.
      Best 2 out of 3 = English (90), Hindi (80) → Avg = 85 (matches).
      ∴ Bithi missed Science & Social Science.

    • Foni: English (83), Social Science (83) → also fits.
      Best 2 out of 3 average = 83 (matches).
      ∴ Foni also missed Social Science.

Step 5: Final Allocation of Missed Subjects

  • Carl → Mathematics

  • Esha → English

  • Foni → English & Social Science

  • Bithi → Science & Social Science

  • Alva & Deep → One missed Hindi & Science, the other missed only Hindi

Final Answer

Hence, the correct option is:
Option B: Alva and Deep

CAT Mini Mock Test - 1 - Question 21
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Convert  in p/q form

Detailed Solution: Question 21

► All the digits written once = 2116
► All the digits without Bar written once = 21
► Number of digits with bar after decimal = 2
► Number of digits without bar after decimal = 0
► Rational form = 

CAT Mini Mock Test - 1 - Question 22
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The value of the expression (153.212)/(352.34) is

Detailed Solution: Question 22

tep 1 – Factor each number into primes

  • 15 = 3 × 5 → 153 = 33 × 53

  • 21 = 3 × 7 → 212 = 32 × 72

  • 35 = 5 × 7 → 352 = 52 × 72

  • 34 stays as 34

Step 2 – Write entire expression in prime factors

Numerator: 153 × 212 = (33 × 53) × (32 × 72) = 35 × 53 × 72
Denominator: 352 × 34 = (52 × 72) × 34 = 34 × 52 × 72

Step 3 – Simplify by subtracting exponents

  • 3: 35 ÷ 34 = 31 = 3

  • 5: 53 ÷ 52 = 51 = 5

  • 7: 72 ÷ 72 = 1

So the expression simplifies to 3 × 5 = 15

CAT Mini Mock Test - 1 - Question 23
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Directions for Question : A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes.

Q. If only half the pipes of set X are closed and only half the pipes of set Y are open and all other pipes are open, how long will it take to fill 49% of the tank?

Detailed Solution: Question 23

►Set X will do 5% per minute and Set Y will do 6.25% per minute, while set Z will do 5% per minute (negative work).

►Hence, Net work will be 6.25% per minute. To fill 49% it will take slightly less than eight minutes and the value will be a fraction.

►None of the first three options matches this requirement. 

CAT Mini Mock Test - 1 - Question 24
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A person buys tea of three different qualities at ₹ 800, ₹ 500, and ₹ 300 per kg, respectively, and the amounts bought are in the proportion 2 : 3 : 5. She mixes all the tea and sells one-sixth of the mixture at ₹ 700 per kg. The price, in INR per kg, at which she should sell the remaining tea, to make an overall profit of 50%, is

Detailed Solution: Question 24

Considering the three kinds of tea are A, B, and C.

The price of kind A = Rs 800 per kg.

The price of kind B = Rs 500 per kg.

The price of kind C = Rs 300 per kg.

They were mixed in the ratio of 2 : 3: 5.

1/6 of the total mixture is sold for Rs 700 per kg.

Assuming the ratio of mixture to A = 12kg, B = 18kg, C =30 kg.

The total cost price is 800 * 12 + 500 * 18 + 300 * 30 = Rs 27600.

Selling 1/6 which is 10kg for Rs 700/kg the revenue earned is Rs 7000.

In order to have an overall profit of 50 percent on Rs 27600.

Thes selling price of the 60 kg is Rs 27600 * 1.5 = Rs 41400.

Hence he must sell the remaining 50 kg mixture for Rs 41400 – Rs 7000 = 34400.

Hence the price per kg is Rs 34400/50 = Rs 688

CAT Mini Mock Test - 1 - Question 25
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The average age of a class of 30 students and a teacher reduces by 0.5 years if we exclude the teacher. If the initial average is 14 years, find the age of the class teacher. 

Detailed Solution: Question 25

Let the age of the teacher be T.

The initial total age of the class (including the teacher) is (30+1)*14 = 434 years.

If we exclude the teacher, the total age of the 30 students is 30*(14-0.5) = 405 years.

So the teacher's age, T, must be:

434 - 405 = 29 years

Therefore, the age of the class teacher is 29 years.

CAT Mini Mock Test - 1 - Question 26
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E owns a house worth Rs. 20,000. He sells it to R at a profit of 25%. After some time, R sells it back to E at 25% loss. Find E’s loss or gain per cent.

Detailed Solution: Question 26

The correct answer is Option B - 31.56% gain

Let the original value be ₹20,000.

When sold at 25% profit, the selling price is ₹20,000 × 1.25 = ₹25,000.

When bought back at 25% loss by R (loss on R's cost), the buy-back price is ₹25,000 × 0.75 = ₹18,750.

E's net cash gain after both transactions is ₹25,000 - ₹18,750 = ₹6,250.

The percentage gain on E's original amount is (₹6,250 / ₹20,000) × 100 = 31.25%.

Therefore the correct overall result is a 31.25% gain, so none of the supplied options exactly equals the correct value.

CAT Mini Mock Test - 1 - Question 27
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Q. A man takes 5 hours 45 min in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways, is:

Detailed Solution: Question 27

Let the distance be x km. Then,
(Time taken to walls x km) + (Time taken to ride x km) = 23/4 hrs
⇒  (Time taken to walls 2x km) + Time taken to ride 2x km  =  23/2 hrs
but time taken to ride 2x km = 15/4 hrs 
Therefore, Time taken to walk 2x km = (23/2 - 15/4) hrs = 31/4 hrs =7 hr 45 min.

CAT Mini Mock Test - 1 - Question 28
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The area of similar triangles, ABC and DEF are 144cm2 and 81 cm2 respectively. If the longest side of the larger △ABC be 36 cm, then the longest side of the smaller △DEF is:

Detailed Solution: Question 28

CAT Mini Mock Test - 1 - Question 29
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The inequality of p2 + 5 < 5p + 14 can be satisfied if:

Detailed Solution: Question 29

We have, p2 + 5 < 5p + 14

=> p2 – 5p – 9 < 0

=> p<6.4 or p>-1.4
Hence, p ≤ 6, p > −1 will satisfy the inequalities

CAT Mini Mock Test - 1 - Question 30
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A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw? 

Detailed Solution: Question 30

The bag contains 2 White, 3 Black and 4 Red balls.

So, total 9 balls are there in the bag; among them 3 are Black and 6 are non-Black balls.

Three balls can randomly be drawn in (9C3) = 84 ways.

1 Black and 2 non-Black balls can be drawn in (3C1)*(6C2) = 45 ways.

1 non-Black and 2 Black balls can be drawn in (6C1)*(3C2) = 18 ways.

3 Black balls can be drawn in (3C3) = 1 way.

So, three balls drawn in (45 + 18 + 1) = 64 ways will have at least one Black ball among the drawn ones.

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