Question
Find the largest number that, when dividing 259, 323,
and 640, leaves remainders of 4, 8, and 10, respectively.Solution
The required number will divide 255 (259 - 4) , 315 (323 - 8) and 630 (640 - 10) completely.
Now, the greatest number that will divide 255, 315 and 630 completely, is the HCF of these numbers.
255 = 3 X 5 X 17
315 = 32Â X 5 X 7
630 = 2 x 32Â x 5 x 7
So, HCF of 255, 315 and 630 = 3 x 5 = 15
Therefore, required number is 15.
 Find the range of the given data:
18, 23, 36, 41, 55, 12, 62, 50, 48
 Find the value of 'a' in the given data if the mean of the given data is 20.
10, 15, 18, 22, 24, 19, 21, a, 16, 25
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