The given table shows the percentage of marks obtained by three students in three different subjects in an institute. (maximum marks are given in brackets) Subject → History (175) | Geography (200) | Botany (125) Ram — 54 | 87 | 71 Mohan — 51 | 79 | 78 Shyam — 75 | 49 | 76 If in order to pass the exam, a minimum of 105 marks are needed in History, how many students pass in the exam?

Correct — C. The table gives percentages, while the pass mark is given in marks — convert one to the other before comparing anything.

History is out of 175.
Pass mark 105 ⁄ 175 = 0.6 = 60%.

Now read the History column against 60%:
Ram 54% — below
Mohan 51% — below
Shyam 75% — above

Only Shyam clears the bar, so 1 student passes — option (c).

Why the others are wrong

• (a)
  2 — 2 lets Ram through, but 54% of 175 is 94.5 marks, short of the 105 needed. Only Shyam is above the line.
• (b)
  3 — 3 passes everyone, yet Mohan's 51% of 175 is 89.25 marks and Ram's 54% is 94.5 — both under 105.
• (d)
  0 — 0 would need Shyam below the line too, but his 75% of 175 is 131.25 marks, comfortably past 105.

A table DI set traps the unit, not the arithmetic. Every cell here is a percentage, while 105 is an absolute score.

Two routes settle it, and the second is faster: convert each percentage into marks (54% of 175 = 94.5), or convert the pass mark into a percentage once (105 ⁄ 175 = 60%) and then simply read the column.

Geography and Botany appear in the table but this question never touches them.

Key facts

• The table records percentage scores, not marks, with each subject's maximum in brackets.
• The History paper is out of 175, so a 105-mark pass line is exactly 60%.
• Only Shyam, at 75% in History, is above that 60% line.

Common traps

• Comparing 105 directly against the numbers in the table, which are percentages
• Assuming History is out of 100 rather than the bracketed 175

No directly related past PYQ was found.