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GATE CE 2018 Set 2 — Question 3

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MCQ+1 / -0.33MediumNumerical Relations & ReasoningAnalytical AptitudeGeneral Aptitude

General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning

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Question

a+a+a+⋯+a⏟n times=a2b\underbrace{a + a + a + \dots + a}_{n \text{ times}} = a^2b and b+b+b+⋯+b⏟m times=ab2\underbrace{b + b + b + \dots + b}_{m \text{ times}} = ab^2, where a,b,na, b, n and mm are natural numbers. What is the value of (m+m+m+⋯+m⏟n times)(n+n+n+⋯+n⏟m times)(\underbrace{m + m + m + \dots + m}_{n \text{ times}}) (\underbrace{n + n + n + \dots + n}_{m \text{ times}})?
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