Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • A survey shows that  of the persons working in an office like coffee, whereas <img alt="65\; ^{o}/_{o}" src="http:/

A survey shows that 73\; ^{o}/_{o} of the persons working in an office like coffee, whereas 65\; ^{o}/_{o} like tea. If x denotes the percentage of them, who like both coffee and tea, then x cannot be :
Option: 1 63
Option: 2 36
Option: 3 54
Option: 4 38

Answers (1)

best_answer

\begin{aligned} &\mathrm{C} \rightarrow \text { person like coffee }\\ &\mathrm{T} \rightarrow \text { person like Tea }\\ &n(C)=73\\ &\mathrm{n}(\mathrm{T})=65\\ &n(C \cup T) \leq 100\\ &\mathrm{n}(\mathrm{C})+\mathrm{n}(\mathrm{T})-\mathrm{n}(\mathrm{C} \cap \mathrm{T}) \leq 100 \end{aligned}

\\73+65-x \leq 100 \\ x \geq 38 \\ 73-x \geq 0 \Rightarrow x \leq 73 \\ 65-x \geq 0 \Rightarrow x \leq 65 \\ 38 \leq x \leq 65

Posted by

himanshu.meshram

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

BTech aspirant from north-east or UT? Apply for CSAB NEUT counselling 2025 today
anam-khan

JoSAA round 2 cut-off 2025 out; BTech closing ranks for top engineering courses at IITs
anam-khan

Goa Engineering Admission 2025: 1,415 eligible for BE seats; merit list on June 27

Latest Question