Question

find out the largest number of which divided by 15,18,21 and 24 respectively,leave the remainder 11,14,17 ans 20 Respectively​

Answer 1

Answer:

Step-by-step explanation:

LCM of (15, 18, 21, 24)

⇒ 5 × 3 × 6 × 7 × 4 = 2520

⇒ In such type of questions,we take the difference between given number and remainder of that number.

Number Remainder

⇒ (15 - 11) = 4

⇒ (18 - 14) = 4

⇒ (21 - 17) = 4

⇒ (24 - 20) = 4

     It will be same always

Now, Largest 4 digit number is 9999

⇒ On dividing 9999 by LCM (2520) we get remainder

⇒ 2439

Subtract remainder from 9999 we get largest 4 digit number, which is divisible by given number

= 9999 - 2439 = 7560 (9999 but required number gives difference on dividing)

So, our required number = 7560 - 4(difference) = 7556

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