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The least number that must be subtracted from 1294 so that

Home » Aptitude » Number System » Question
  1. The least number that must be subtracted from 1294 so that the remainder when divided by 9, 11 and 13 will leave in each case the same remainder 6, is :
    1. 2
    2. 3
    3. 1
    4. 4
Correct Option: C

LCM of 9, 11 and 13 = 9 × 11 × 13 = 1287
∴  Required lowest number that leaves 6 as remainder = 1287 + 6 = 1293
∴  Required answer = 1294 – 1293 = 1



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