Verified Solution • 2025–26 Session moderate

QJEEM20Ma0503: JEE Main 2020 Mathematics - Class 11 JEEM20Ma0503 Solution: A survey shows that 73% of the persons working in an office…

A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of them, who like both coffee and tea, then x cannot be :

Multiple Choice Options

  • A 63
  • B 36
  • C 54
  • D 38

Step-by-Step Verified Solution

C →\to person like coffee

T →\to person like Tea

n(C) = 73

n(T) = 65

n(C ∪\cup T) ≤\le 100

n(C) + n(T) – n (C ∩\cap T) ≤\le 100

73 + 65 – x ≤\le 100

x ≥\ge 38

73 – x ≥\ge 0 ⇒\Rightarrow x ≤\le 73

65 – x ≥\ge 0 ⇒\Rightarrow x ≤\le 65

∴\therefore 38 ≤\le x ≤\le 65

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