Question
Download Solution PDFनिम्नलिखित समीकरण को सही बनाने के लिए इसमें किन दो संख्याओं और दो चिह्नों को परस्पर बदला जाना चाहिए?
4 + 2 ÷ 7 + 8 × 9 = 25
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया समीकरण है : 4 + 2 ÷ 7 + 8 × 9 = 25
अब, चिह्नों और संख्याओं को परस्पर बदलकर:
- विकल्प - (1) : 4 और 9, + और ×
4 + 2 ÷ 7 + 8 × 9 = 25 ⇒ 9 × 2 ÷ 7 × 8 + 4 = 25
9 × 0.28 × 8 + 4 = 25
20.16 + 4 = 25
24.16 ≠ 25 (LHS (बायाँ पक्ष) ≠ RHS (दायाँ पक्ष))
- विकल्प - (2) : 4 और 7, ÷ और ×
4 + 2 ÷ 7 + 8 × 9 = 25 ⇒ 7 + 2 × 4 + 8 ÷ 9 = 25
7 + 2 × 4 + 0.88 = 25
7 + 8 + 0.88 = 25
15.88 ≠ 25 (बायाँ पक्ष ≠ दायाँ पक्ष)
- विकल्प - (3) : 4 और 9, ÷ और ×
4 + 2 ÷ 7 + 8 × 9 = 25 ⇒ 9 + 2 × 7 + 8 ÷ 4 = 25
9 + 2 × 7 + 2 = 25
9 + 14 + 2 = 25
25 = 25 (बायाँ पक्ष = दायाँ पक्ष)
- विकल्प - (4) : 4 और 7, + और ×
4 + 2 ÷ 7 + 8 × 9 = 25 ⇒ 7 × 2 ÷ 4 × 8 + 9 = 25
7 × 0.5 × 8 + 9 = 25
28 + 9 = 25
37 ≠ 25 (बायाँ पक्ष ≠ दायाँ पक्ष)
अतः, ''विकल्प - (3)'' सही उत्तर है।
Last updated on Jul 2, 2025
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