The four digit smallest positive number which when divided by 4, 5, 6 or 7, it leaves always the remainder as 3:
A. 1000
B. 1257
C. 1263
D. 1683
Answer: Option C
Solution(By Examveda Team)
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
Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
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