Question
[31]. A sweet-maker has 84 ladoos and 126 barfis and wants to pack them into identical boxes so that every box holds the same number of sweets, no box mixes the two kinds, and nothing is left unpacked. What is the largest number of sweets that can go in each box? / एक हलवाई के पास 84 लड्डू और 126 बर्फी हैं, और वह उन्हें एक जैसे डिब्बों में इस प्रकार पैक करना चाहता है कि हर डिब्बे में बराबर संख्या में मिठाइयाँ हों, किसी डिब्बे में दोनों प्रकार न मिलें और कुछ भी बिना पैक न रहे। हर डिब्बे में अधिकतम कितनी मिठाइयाँ रखी जा सकती हैं?
Option 1 : 42 / 42
Detailed Solution
सही उत्तर 42 / 42 है।
The box size must divide both 84 and 126. 84 = 2² × 3 × 7, 126 = 2 × 3² × 7, so HCF = 2 × 3 × 7 = 42. / डिब्बे का आकार 84 और 126 दोनों को विभाजित करे। 84 = 2² × 3 × 7, 126 = 2 × 3² × 7, इसलिए HCF = 2 × 3 × 7 = 42।
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prepsnap.in • Mock TestQuestion:
[31]. A sweet-maker has 84 ladoos and 126 barfis and wants to pack them into identical boxes so that every box holds the same number of sweets, no box mixes the two kinds, and nothing is left unpacked. What is the largest number of sweets that can go in each box? / एक हलवाई के पास 84 लड्डू और 126 बर्फी हैं, और वह उन्हें एक जैसे डिब्बों में इस प्रकार पैक करना चाहता है कि हर डिब्बे में बराबर संख्या में मिठाइयाँ हों, किसी डिब्बे में दोनों प्रकार न मिलें और कुछ भी बिना पैक न रहे। हर डिब्बे में अधिकतम कितनी मिठाइयाँ रखी जा सकती हैं?
Correct Answer: 42 / 42
The box size must divide both 84 and 126. 84 = 2² × 3 × 7, 126 = 2 × 3² × 7, so HCF = 2 × 3 × 7 = 42. / डिब्बे का आकार 84 और 126 दोनों को विभाजित करे। 84 = 2² × 3 × 7, 126 = 2 × 3² × 7, इसलिए HCF = 2 × 3 × 7 = 42।