Comprehension
The following are the criteria for admitting students to an engineering college:
The student candidate must: 
1) have passed 12th standard science examination having secured more than 65% in Mathematics and at least 60% in the aggregate. 
2) be of 20 years age or more as on January 01, 2020 
3) have obtained at least 65% in the interview and more than 60% in the entrance test.
However, if a student fulfills all the above criteria, EXCEPT: 
4) at (1) and/or (2) above but has obtained at least 75% in the interview and more than 65% in the entrance test, the case should be referred to the Principal. 
5) at (2) and/or (3) above but is an SC candidate securing more than 70% in the aggregate as well as in Mathematics in 12th standard science examination, the case should be referred to the Director. 
Based on the criteria given above and without assuming any additional information, you have to take a decision for the candidates whose profiles have given in the five questions. Mark your answer by choosing the appropriate option in each case.
Question: 1

Priya was born in an SC family in 1998 and passed her 12\textsuperscript{th standard science examination securing 82% in the aggregate and 66% in Mathematics. She obtained 65% in the interview as well as the entrance test. What decision would be taken for her?}

Show Hint

Always check if the candidate fulfills all the criteria before making a decision, and consider special cases like SC category or exceptional performance.
Updated On: Apr 19, 2025
  • She would be admitted
  • She would not be admitted
  • Her case is to be referred to the Principal
  • Her case is to be referred to the Director
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The Correct Option is A

Solution and Explanation

Priya fulfills all the criteria mentioned. As she belongs to an SC family and has secured more than 65% in the entrance test, interview, and meets the aggregate requirement, she would be admitted.
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Question: 2

Aditya, an SC candidate, was born in 1997 and passed the 12\textsuperscript{th standard examination in science securing 65% in the aggregate as well as in Mathematics. He obtained 65% in the entrance test and 68% in the interview. What decision would be taken for him?}

Show Hint

Ensure that the candidate meets all the criteria, especially in special categories like SC, for easier decision-making.
Updated On: Apr 19, 2025
  • He would be admitted
  • He would not be admitted
  • His case is to be referred to the Principal
  • His case is to be referred to the Director
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The Correct Option is A

Solution and Explanation

Aditya fulfills the criteria set for SC candidates, where the minimum requirements are 65% in the entrance test and 60% in the interview. Since he meets these, he would be admitted.
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Question: 3

Ashok is an SC candidate, who secured 65% in the interview and 60% in the entrance test. He passed the 12\textsuperscript{th standard science examination in 2018 at the age of 19 securing 80% aggregate marks and 70% in Mathematics. What decision would be taken for him?}

Show Hint

Check the age eligibility and other fixed criteria in addition to the academic performance before making a decision.
Updated On: Apr 19, 2025
  • He would be admitted
  • He would not be admitted
  • His case is to be referred to the Principal
  • His case is to be referred to the Director
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The Correct Option is B

Solution and Explanation

Ashok meets the interview and entrance exam criteria but has missed the age criterion (he passed in 2018, making him 20 at the time of application). Thus, he would not be admitted.
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Question: 4

Manju Tripathi passed the 12\textsuperscript{th standard science examination securing 65% in the aggregate as well as in Mathematics at the age of 18 in 2017. She secured 75% in the interview and 68% in the entrance test. What decision would be taken in her case?}

Show Hint

Review the candidate's age and performance against the standard criteria before making a final decision.
Updated On: Apr 19, 2025
  • She would be admitted
  • She would not be admitted
  • Her case is to be referred to the Principal
  • Her case is to be referred to the Director
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The Correct Option is A

Solution and Explanation

Manju fulfills all criteria and has passed the entrance test and interview successfully. She is within the permissible age range and meets all other conditions, so she would be admitted.
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Question: 5

Nitesh, who belongs to the SC community, passed the 12\textsuperscript{th standard science examination in July 2019 at the age of 19 years securing 72% in Mathematics as well as in the aggregate. He obtained 65% in the entrance test and 76% in the interview. What decision would be taken for him?}

Show Hint

Always review age limits in addition to the interview and entrance test results, especially for SC category candidates.
Updated On: Apr 19, 2025
  • He would be admitted
  • He would not be admitted
  • His case is to be referred to the Principal
  • His case is to be referred to the Director
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The Correct Option is D

Solution and Explanation

Nitesh belongs to the SC category, meets the criteria for the entrance test and interview, but as he has passed in 2019 and is above the age limit (18 years for admission), his case should be referred to the Director for a final decision.
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