Multiple choice

Find the greatest number of five digits which when divided by 24, 60, 75 and 90 gives remainder 4 in each case.

  1. 98904

  2. 99204

  3. 99404

  4. 99004
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Find LCM of 24, 60, 75, 90 = 1800. Greatest 5-digit number is 99999. 99999 ÷ 1800 = 55 remainder 999. 999 - 4 = 995. 99999 - 995 = 99004. Check: 99004 ÷ 24 = 4125 R4, ÷ 60 = 1650 R4, ÷ 75 = 1320 R4, ÷ 90 = 1100 R4.

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