Question
Download Solution PDFनिम्नलिखित प्रश्न में प्रश्न चिह्न (?) के स्थान पर क्या मान आना चाहिए?
\(0.5\overline{27} - 0.3\overline{25} + 0.2\overline{24} = ?\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
0.527 - 0.325 + 0.224 = ?
प्रयुक्त सूत्र:
एक आवर्ती दशमलव 0.abc को (abc - a) / 990 के रूप में लिखा जा सकता है
एक आवर्ती दशमलव 0.ab को ab / 99 के रूप में लिखा जा सकता है
गणना:
0.527 = (527 - 5) / 990 = 522 / 990
0.325 = (325 - 3) / 990 = 322 / 990
0.224 = (224 - 2) / 990 = 222 / 990
⇒ ? = 522 / 990 - 322 / 990 + 222 / 990
⇒ ? = (522 - 322 + 222) / 990
⇒ ? = (200 + 222) / 990
⇒ ? = 422 / 990
सही उत्तर विकल्प (1) है।
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