Mr. Mithilesh had to arrange his books in uniform groups. He makes groups of 4 books each. But 3 books are left. He tries it with groups of 5 books each. But still 3 books are left. 3 books are…
Question and options
Mr. Mithilesh had to arrange his books in uniform groups. He makes groups of 4 books each. But 3 books are left. He tries it with groups of 5 books each. But still 3 books are left. 3 books are still left when he tried with groups of 9 or 10 books each. How many books does he have?
- 90
- 183
- 420
- 900
Answer and explanation
Correct answer: B - 183
The number is 3 more than a multiple of LCM(4, 5, 9, 10) = 180, i.e. 180k + 3. Of the options only 183 fits: 90, 420 and 900 do not leave remainder 3.
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