Question
Download Solution PDF@ चिह्नों के क्रमिक रूप से परिवर्तन करने पर और दिए गए समीकरण को संतुलित करने के लिए गणितीय चिह्नों के सही संयोजन का चयन कीजिए।
[{(14 @ 6) @ (2 @ 3)} @ (1 @ 7)] @ 2 @ 4
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया कथन : [{(14 @ 6) @ (2 @ 3)} @ (1 @ 7)] @ 2 @ 4
प्ररश्नानुसार, '@' चिह्नों के परिवर्तन करने के बाद:
इसलिए,
- विकल्प - (1) : ×, ÷, ×, ×, −, +, =
[{(14 × 6) ÷ (2 × 3)} × (1 − 7)] + 2 = 4
[{84 ÷ 6} × (-6)] + 2 = 4
[14 × (-6)] + 2 = 4
-84 + 2 = 4
-82 ≠ 4 (बायाँ पक्ष ≠ दायाँ पक्ष)
- विकल्प - (2) : −, +, ×, ×, ×, ×, =
[{(14 − 6) + (2 × 3)} × (1 × 7)] × 2 = 4
[{8 + 6} × 7] × 2 = 4
[14 × 7] × 2 = 4
98 × 2 = 4
196 ≠ 4 (बायाँ पक्ष ≠ दायाँ पक्ष)
- विकल्प - (3) : ×, −, +, ×, ÷, ×, =
[{(14 × 6) − (2 + 3)} × (1 ÷ 7)] × 2 = 4
[{84 - 5} × 0.14] × 2 = 4
[79 × 0.14] × 2 = 4
11.28 × 2 = 4
22.57 ≠ 4 (बायाँ पक्ष ≠ दायाँ पक्ष)
- विकल्प - (4) : −, +, ×, ÷, ×, ×, =
[{(14 − 6) + (2 × 3)} ÷ (1 × 7)] × 2 = 4
[{8 + 6} ÷ 7] × 2 = 4
[14 ÷ 7] × 2 = 4
2 × 2 = 4
4 = 4 (बायाँ पक्ष = दायाँ पक्ष)
अतः सही उत्तर "विकल्प - (4)" है।
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