Which of the following pairs of students has the smallest ratio of their…
2024
Which of the following pairs of students has the smallest ratio of their Physics marks, taken in the stated order?
Answer: D. Priyanka : Sujata — ConceptA ratio a : b compares two quantities in a fixed order and has the numerical value a divided by b. To identify the smallest ratio, compute the quotient…
- A.
Radhika : Karan
- B.
Neeraj : Karan
- C.
Sujata : Neeraj
- D.
Priyanka : Sujata
Show answer & explanation
Correct answer: D
Concept
A ratio a : b compares two quantities in a fixed order and has the numerical value a divided by b.
To identify the smallest ratio, compute the quotient for every ordered pair using the same subject marks, and then compare the resulting values.
Application
For Radhika : Karan, the Physics-mark ratio is 90/92 = 45/46, approximately 0.9783.
For Neeraj : Karan, the Physics-mark ratio is 86/92 = 43/46, approximately 0.9348.
For Sujata : Neeraj, the Physics-mark ratio is 77/86, approximately 0.8953.
For Priyanka : Sujata, the Physics-mark ratio is 63/77 = 9/11, approximately 0.8182.
Comparing the four quotients, 0.8182 is the least. Therefore, the required pair is Priyanka : Sujata.
Cross-check
Compare the two smallest candidates without rounding: 63/77 is less than 77/86 because 63 × 86 = 5418, while 77 × 77 = 5929. The other two quotients exceed 0.93, so the result is confirmed.