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Playing with Numbers — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsPlaying with Numbers3 Marks
Question
Replace A, B, C by suitable numerals.
$ \ \ \ \ \ \ \text{AB}\\\underline{ \ \ \ \times \ 3}\\\underline{ \ \ \text{CAB}}$
✓

Answer

(B × 3) = B
Then, B can either be 0 or 5.
If B is 5, then 1 will be carried.
Then A × 3 + 1 = A will not be possible for any number.
$\therefore$ B = 0
A × 3 = A is possible for either 0 or 5.
If we take A = 0, then all number will become 0. however this not a possible.
$\therefore$ A = 5
Then, 1 will be carried.
$\therefore$ C = 1
$\therefore$ A = 5, B = 0 and C = 1

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