Question 44
a,b,c d are 4 distinct even natural numbers less than 10. The highest power of 2 that will definitely divide the product of these 4 numbers is
Solution
We know that a, b, c and d are distinct even natural numbers less than 10. Therefore, they must be 2, 4, 6 and 8.
Product of the 4 numbers =$$ 2*4*6*8$$ = $$2*2*2*2*3*2*2*2$$ = $$2^7 * 3$$
Therefore, $$2^7 = 128$$ is the highest power of $$2$$ that will definitely divide the product. Hence, option C is the right answer.
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