RRB Technician Grade 3 previous year question
If a + b + c = 13 and ab + bc + ca = 4, then what is the value of ab(a + b) + bc(b + c) + ca(c + a) + 3abc?
Asked in RRB Technician Grade 3 (10 Mar 2026 Shift 2) · Quantitative Aptitude
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Correct answer: (D) 52
Using the algebraic identity ab(a+b)+bc(b+c)+ca(c+a)+3abc = (a+b+c)(ab+bc+ca), substituting the given values gives 13 × 4 = 52.
हिंदी में प्रश्न
यदि a + b + c = 13 और ab + bc + ca = 4 है, तो ab(a + b) + bc(b + c) + ca(c + a) + 3abc का मान कितना होगा?
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सही उत्तर: (D) 52
बीजगणितीय सर्वसमिका ab(a+b)+bc(b+c)+ca(c+a)+3abc = (a+b+c)(ab+bc+ca) का उपयोग करने पर, दिए गए मान रखने पर 13 × 4 = 52 प्राप्त होता है।
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