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The four digit smallest positive number which when divided by 4, 5, 6 or 7, it leaves always the remainder as 3:
Answer & Solution
Correct Answer:
Option
C
The least possible number = (LCM of 4, 5, 6 and 7) + 3
= 420 + 3
= 423 The next higher number is, (420m + 3), now we put a least value of m such that (420m + 3) ≥ 1000 At m = 3, value = 420 × 3 + 3 = 1263
= 423 The next higher number is, (420m + 3), now we put a least value of m such that (420m + 3) ≥ 1000 At m = 3, value = 420 × 3 + 3 = 1263
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