CAT Quant Practice Problems

Question: Let a, b, c be distinct digits. Consider a two-digit number ‘ab’ and a three-digit number ‘ccb’, both defined under the usual decimal number system, if (ab)2= ccb > 300, then the value of b is
  1. 1
  2. 0
  3. 5
  4. 6

Correct Option:1

$( \mathrm { AB } ) ^ { 2 } = \mathrm { CCB }$
The only number satisfying the given condition
$2 \mathrm { l } ^ { 2 } = 441 .$
So, $\mathrm { B } = 1$


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