Find the least number which when divided by 12, 15,36 and 45 leaves in each case remainder 8

Find the least number which when divided by 12, 15,36 and 45 leaves in each case remainder 8

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We observe that 12 - 8 = 4, 18 - 14 = 4, 36 - 32 = 4 and 45 - 41 = 4

Hence, the required number should be LCM (12, 18, 36, 45) – 4

The LCM of 12, 18, 36 and 45 = 180.

Hence, required number = 180 – 4 = 176

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Find the least number which when divided by 12, 15,36 and 45 leaves in each case remainder 8

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13.

The difference between the greatest and least five-digit numbers formed by the digits 2, 5,0, 6, 8 is (repetition of digits are not allowed)

C.

65952

The difference five digit number formed by the digits 2, 5, 0, 6 and 8 = 86520The least five digit number formed by the digits 2, 5, 0, 6 and 8 = 20568

Find the least number which when divided by 12, 15,36 and 45 leaves in each case remainder 8
 Required difference  = 86520 - 20568


                                  = 65952