Question

Arun wanted to find the largest number of 4 digits such that when added to 7249 generated a number that gave a remainder 0 when devided by 54, 12, 14, 21, 33. Find the number ?

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

Let us take LCM of 54,12,14,21,33

2||54,12,14,21,33

-------------------------

3||27,6,7,21,33

----------------------

7||9,2,7,7,11

-----------------

9,2,1,1,11

Therefore LCM

2×3×7×9×2×11=8316

Largest number of 4 digit to be added to 7249 will be

8316-7249=1067

Answer- Largest 4 digit number 1067 when added to 7249 will give 8316 which will give remainder 0 when divided by 54,12,14,21,33