📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

  • google app store apple app store

    • Question

      The greatest number of four digits which when divided by

      6, 8, 10 leave remainders 3, 5, 7 respectively is:
      A 9995 Correct Answer Incorrect Answer
      B 9763 Correct Answer Incorrect Answer
      C 9957 Correct Answer Incorrect Answer
      D 9897 Correct Answer Incorrect Answer

      Solution

      The difference between divisor and the corresponding remainder is equal (i.e 3). LCM of 6, 8 and 10 = 120 Largest 4-digit number = 9999 After dividing 9999 by 120 we will get the remainder as 39. Therefore, the number divisible by 120 = 9999 – 39 = 9960 If 3 is subtracted from the number 9960 the resulting number will follow the condition in the question and that number is 9957.

      Practice Next
      ask-question