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Playing with numbers — MATHS STD 6 — Question

Gujarat BoardEnglish MediumSTD 6MATHSPlaying with numbers1 Mark
MCQ
Mark the correct alternative in the following: The greatest five digit number exactly divisible by $9$ and $13$ is:
  • A
    $99945$
  • ✓
    $99918$
  • C
    $99964$
  • D
    $99972$
✓

Answer

Correct option: B.
$99918$
$LCM$ of $9$ and $13 = 9 \times 13 = 117$
Largest $5$-digit number is $99999$
Now, if we divide $99999$ by $117,$ we will get $854.69$ as quotient.
The integer just less than $854.69$ is $854$
$\therefore$ Required number $= 117 \times 854 = 99918$
Hence, the correct answer is option $(b).$

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