Multiple choice general knowledge math & puzzles

A number is given as 987562153ab where a and b are digits. Which values of a and b, such that a + b = 11 and a < b, would result in 987562153ab being divisible by 4?

  1. a = 0 , b = 8

  2. a = 3 , b = 8

  3. a = 7 , b = 8

  4. a = 5 , b = 6

  5. a = 3 , b = 4
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A number is divisible by 4 if its last two digits ($ab$) form a number divisible by 4. Given $a + b = 11$ and $a < b$, possible pairs $(a,b)$ are $(2,9), (3,8), (4,7), (5,6)$. Among these, only $56$ is divisible by 4. Thus $a=5, b=6$ is the correct solution.

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