Multiple choice

What is the least possible number which when divided by 8, 9, 12, 15, its remainder is 5 in each case?

  1. 365

  2. 450

  3. 560

  4. 265
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To find the least number that leaves remainder 5 when divided by 8, 9, 12, and 15, first find the LCM of these divisors. Prime factorization: 8=2³, 9=3², 12=2²×3, 15=3×5. LCM = 2³×3²×5 = 360. Adding the remainder 5 gives 365, which satisfies all conditions (365÷8=45R5, 365÷9=40R5, etc.). Option A is correct.

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