Question

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 1

Answer:

C. 1263

The least possible number (LCM of 4, 5, 6 and 7) + 3 = 420 + 3 = 423 The next higher number = (420 m) + 3 Now put the least possible value of m, such that (420 m + 3) ≥ 1000 So, at m = 3, the required value, = 1260 + 3 = 1263