\(यदि (U={1,2,\ldots,100}) और (A={x:x\) 7 से विभाज्य नहीं है}), तो (|A'|) कितना है?
\(If (U={1,2,\ldots,100}) and (A={x:x\) is not divisible by 7}), what is (|A'|)?
Explanation opens after your attempt
Correct Answer
B. (14)
Concept
(A') is the set of numbers divisible by (7). Up to (100), there are \(\left\lfloor \frac{100}{7}\right\rfloor=14\) multiples of (7).
Why this answer is correct
The correct answer is B. (14). (A') is the set of numbers divisible by (7). Up to (100), there are \(\left\lfloor \frac{100}{7}\right\rfloor=14\) multiples of (7).
Exam Tip
(A') वे संख्याएँ हैं जो (7) से विभाज्य हैं। (100) तक (7) के \(\left\lfloor \frac{100}{7}\right\rfloor=14\) गुणज हैं।
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