Bihar Police Constable practice question
The sum of the digits of a three-digit number is 14. The hundreds digit is twice the units digit, and the units digit exceeds the tens digit by -2. Find the number.
From a Bihar Police Constable Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (D) 824
Let the hundreds, tens and units digits be h, t and u, so the number is 100h + 10t + u. Given h = 2u, u = t + -2, and h + t + u = 14. Substituting h and t = u - -2: 2u + (u - -2) + u = 14, so 4u - -2 = 14, giving u = 4. Then h = 2 × 4 = 8 and t = 4 - -2 = 2. The number is 100 × 8 + 10 × 2 + 4 = 824.
हिंदी में प्रश्न
एक तीन अंकों की संख्या के अंकों का योग 14 है। सैकड़े का अंक, इकाई के अंक का दोगुना है, और इकाई का अंक दहाई के अंक से -2 अधिक है। संख्या ज्ञात कीजिए।
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सही उत्तर: (D) 824
मान लीजिए सैकड़े, दहाई और इकाई के अंक क्रमशः h, t और u हैं, तो संख्या 100h + 10t + u है। दिया गया है h = 2u, u = t + -2, और h + t + u = 14। h और t = u - -2 प्रतिस्थापित करने पर: 2u + (u - -2) + u = 14, अतः 4u - -2 = 14, जिससे u = 4 प्राप्त होता है। फिर h = 2 × 4 = 8 और t = 4 - -2 = 2। संख्या = 100 × 8 + 10 × 2 + 4 = 824।
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