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The largest number of five digits which, when divided by 10, 24, 30, or 36 leaves the same remainder 10 in each case, is :

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The largest number of five digits which, when divided by 10, 24, 30, or 36 leaves the same remainder 10 in each case, is :
1). 99279
2). 99370
3). 99269
4). 99350

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2 answers

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Answered by on | Votes 1 |
option 2 : - 99370

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1 vote
Answered by on | Votes 1 |
Using Rule 9, We will find the LCM of 16, 24, 30 and 36 LCM = 2 × 2 × 2 × 3 × 2 × 5 × 3 = 720 The largest number of five digits = 99999 On dividing 99999 by 720, the remainder = 639 The largest five-digit number divisible by 720 = 99999 – 639 = 99360 Required number = 99360 + 10 = 99370




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