Multiple choice

Find smallest number which leaves remainder 4 when divided by 16, 18, 20, 25, but divisible by 7:

  1. 19000

  2. 18004

  3. 17004

  4. 18000

  5. 18002
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Find LCM(16, 18, 20, 25) = 3600. The number is of the form 3600k + 4. Testing multiples: 3600*5 + 4 = 18004. Check divisibility by 7: 18004 / 7 = 2572. Since it is divisible by 7, 18004 is the answer.

AI explanation

Find the least common multiple of 16, 18, 20 and 25, which is 3600, so any number satisfying the first condition has the form 3600k plus 4. Checking the provided options, 18004 equals 3600 times 5 plus 4. Since 18004 divided by 7 gives a quotient of 2572 with no remainder, it is the required number.

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