GATE Civil Engineering
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$\underbrace{a+a+a+ \dots +a}_{\text{n times}}=a^2b$ and $\underbrace{b+b+b+ \dots +b}_{\text{m times}} = ab^2$, where $a, b, n, m$ are natural numbers. What is the value of $\Bigg( \underbrace{m+m+m+ \dots +m}_{\text{n times}} \Bigg) \Bigg( \underbrace{n+ n+ n+ \dots + n}_{\text{m times}} \Bigg)?$

  1. $2a^{2}b^{2}$
  2. $a^{4}b^{4}$
  3. $ab(a+b)$
  4. $a^{2}+b^{2}$
in Numerical Ability by (4k points)
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