RRB NTPC CBT-1 previous year question
The largest four-digit number which when divided by 14, 15 and 8 leaves remainder 4 in each case is:
Asked in RRB NTPC 2026 — 17 June Shift 2 · Quantitative Aptitude
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Correct answer: (D) 9244
LCM(14,15,8) = 840. The largest 4-digit number leaving remainder 4 with each divisor is the largest multiple of 840 below 9999, plus 4: floor((9999-4)/840)*840+4 = 9244.
हिंदी में प्रश्न
चार अंकों की वह सबसे बड़ी संख्या ज्ञात कीजिए, जिसे 14, 15 और 8 से भाग देने पर प्रत्येक स्थिति में शेषफल 4 प्राप्त हो?
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (D) 9244
LCM(14,15,8) = 840। प्रत्येक भाजक से 4 शेष छोड़ने वाली सबसे बड़ी 4-अंकीय संख्या 9999 से नीचे 840 के सबसे बड़े गुणज में 4 जोड़कर मिलती है: floor((9999-4)/840)*840+4 = 9244।
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