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संख्या पद्धति Difficult Questions and Answers | Page - 3
संख्या पद्धति
चार क्रमागत सम संख्याओं का योग, तीन क्रमागत विषम संख्याओं के योग से 107 अधिक है। यदि सबसे छोटा सम संख्या था सबसे छोटा विषम संख्या का योग 55 है, तो सबसे छोटी सम संख्या क्या है।
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माना चार क्रमागत सम संख्याएँ a, a + 2, a + 4 व a + 6 तथा तीन क्रमागत विषम संख्याएँ b, b + 2 व b + 4 है।
सही विकल्प: D
माना चार क्रमागत सम संख्याएँ a, a + 2, a + 4 व a + 6 तथा तीन क्रमागत विषम संख्याएँ b, b + 2 व b + 4 है।
जब एक धन पूर्णांक n, 5 से विभाजित होता है, तो शेषफल 2 बचता है। जब संख्या 3n, 5 से विभाजित होता है, तो प्राप्त शेषफल क्या है ?
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माना n को 5 से भाग करने पर भागफल a है।
सही विकल्प: A
माना n को 5 से भाग करने पर भागफल a है।
यदि n एक धन पूर्णांक है, तो 32n + 1 + 22n + 1 के इकाई स्थान में क्या अंक होगा ?
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32n + 1 + 22n + 1 में इकाई के अंक के लिए, यदि n एक सम संख्या है। 2n . 3 + 22n . 2) में इकाई का अंक = 5
सही विकल्प: C
32n + 1 + 22n + 1 में इकाई के अंक के लिए, यदि n एक सम संख्या है। 2n . 3 + 22n . 2) में इकाई का अंक = 5 2n . 3 + 22n . 2) में इकाई का अंक = 5
चार अंकों की वह बड़ी -से -बड़ी संख्या क्या है, जो 7 से पूर्णतया विभाजित होती है तथा इस संख्या में 10 जोड़ने से प्रप्त गुणनफल 3 से विभाजित होता है ?
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इस प्रकार के प्रश्नों को विकल्प की सहायता से हल करना चाहिए।
सही विकल्प: D
इस प्रकार के प्रश्नों को विकल्प की सहायता से हल करना चाहिए।
नीचे दिए गए गुणा के प्रश्न के हल में 'a ' एक अंक है
'a ' का मान है
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क्योंकि गुणनफल का इकाई अंक 6 है, इसलिए a मान 3 या 8 हो सकता है। a के स्थान पर 8 रखने से हमें सही गुणनफल प्राप्त होता है अर्थात्
सही विकल्प: B
क्योंकि गुणनफल का इकाई अंक 6 है, इसलिए a मान 3 या 8 हो सकता है। a के स्थान पर 8 रखने से हमें सही गुणनफल प्राप्त होता है अर्थात्
जबकि a के स्थान पर 3 रखने पर सही गुणनफल प्राप्त नहीं होता है ।
∴ a का मान 8 होगा !
[ऐसे प्रश्नों को विकल्प की सहायता से हल करते हैं। ]
