While preparing for a management entrance examination Romit attempted to solve three paper, namely Mathematics, Verbal English and Logical Analysis, each of which have the full marks of 100. It is observed that one-third of the marks obtained by Romit in Logical Analysis is greater than half of his marks obtained in Verbal English By 5. He has obtained a total of 210 marks in the examination and 70 marks in Mathematics. What is the difference between the marks obtained by him in Mathematics and Verbal English?
Explanation:
Let Romit score l and v marks in Logical Analysis and Verbal English respectively.
∴ l + v + 70 = 210
∴ l + v = 140 …(i)
Now, l3 = v2 + 5 ...(ii)
Solving i and ii, we get,
l = 90, and v = 50
Hence, required difference = 70 – 50 = 20
Hence, option (c).
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