A school gives a ‘Merit Scholarship’ to a Class 11 student when, and only when, all three of these conditions hold: (i) the student scored at least 85% in the Class 10 board examination; (ii) the student’s family earns less than ₹4,00,000 a year; (iii) the student joined the school in Class 9 or in an earlier class. Which of the following students will get the Merit Scholarship?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Tara scored 88% in the Class 10 board examination. Her family earns ₹3,20,000 a year. She joined the school in Class 6.
The scholarship is given only when all three conditions hold: (i) at least 85% in Class 10, (ii) family income less than ₹4,00,000 a year, (iii) joined the school in Class 9 or earlier.
Tara scored 88% (at least 85%), her family earns ₹3,20,000 (less than ₹4,00,000), and she joined in Class 6 (earlier than Class 9). All three conditions hold.
Why the other options are incorrect
Option (2) Kabir scored 92% in the Class 10 board examination. His family earns ₹4,50,000 a year. He joined the school in Class 1. — Incorrect. Kabir’s family earns ₹4,50,000, which is not less than ₹4,00,000, so condition (ii) fails.
Option (3) Ira scored 84% in the Class 10 board examination. Her family earns ₹2,00,000 a year. She joined the school in Class 8. — Incorrect. Ira scored 84%, which is below 85%, so condition (i) fails.
Option (4) Dev scored 90% in the Class 10 board examination. His family earns ₹3,00,000 a year. He joined the school in Class 10. — Incorrect. Dev joined in Class 10, which is later than Class 9, so condition (iii) fails.