Question:
The table shows the marks of five engineering students in Thermodynamics and Hydraulics. What is the ratio between the total marks obtained by Parikh in Thermodynamics and Hydraulics together and the same by Tahir?
The table shows the marks of five engineering students in Thermodynamics and Hydraulics. What is the ratio between the total marks obtained by Parikh in Thermodynamics and Hydraulics together and the same by Tahir?
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When calculating ratios from tabular data, always compute totals first, then simplify or approximate to match the closest given option. If none match exactly, choose "None of these."
Updated On: Jun 5, 2025
- 3:2
- 4:3
- 5:3
- None of these
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The Correct Option is D
Solution and Explanation
Step 1: Calculate total marks obtained by Parikh.
Parikh's marks:
Thermodynamics = 130
Hydraulics = 80
$$ \text{Total for Parikh} = 130 + 80 = 210 $$ Step 2: Calculate total marks obtained by Tahir.
Tahir's marks:
Thermodynamics = 50
Hydraulics = 60
$$ \text{Total for Tahir} = 50 + 60 = 110 $$ Step 3: Find the ratio of their total marks.
$$ \text{Ratio} = \frac{210}{110} = \frac{21}{11} $$ Now compare with given options: % Option (A) 3:2 → $ \frac{3}{2} = 1.5 $
% Option (B) 4:3 → $ \frac{4}{3} \approx 1.33 $
% Option (C) 5:3 → $ \frac{5}{3} \approx 1.67 $
$ \frac{21}{11} \approx 1.909 $ — does not match any option
$$ \Rightarrow \text{Correct answer is } \boxed{\text{(D) None of these}} $$
Parikh's marks:
Thermodynamics = 130
Hydraulics = 80
$$ \text{Total for Parikh} = 130 + 80 = 210 $$ Step 2: Calculate total marks obtained by Tahir.
Tahir's marks:
Thermodynamics = 50
Hydraulics = 60
$$ \text{Total for Tahir} = 50 + 60 = 110 $$ Step 3: Find the ratio of their total marks.
$$ \text{Ratio} = \frac{210}{110} = \frac{21}{11} $$ Now compare with given options: % Option (A) 3:2 → $ \frac{3}{2} = 1.5 $
% Option (B) 4:3 → $ \frac{4}{3} \approx 1.33 $
% Option (C) 5:3 → $ \frac{5}{3} \approx 1.67 $
$ \frac{21}{11} \approx 1.909 $ — does not match any option
$$ \Rightarrow \text{Correct answer is } \boxed{\text{(D) None of these}} $$
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