Question

88^88 - 74^88 is exactly divisible by which of the following ? 14 18 both 2&3 12
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Answer 1

88⁸⁸ - 74⁸⁸ is exactly divisible by both 14 and 18. so the corect option is (3) both (2) and (3).

We have to find out by which number , 88⁸⁸ - 74⁸⁸ is exactly divisible.

1. 14
2. 18
3. both (2) and (3)
4. 12

We know, if a polynomial is xᵃ - nᵃ , where n is a real number and a is an even number then (x - a) and (x + a) ,both will be factors of (xᵃ - nᵃ).

Here, 88⁸⁸ - 74⁸⁸ , where 88 is an even number.

∴ (88 - 74) and (88 + 74) both will be factors of 88⁸⁸ - 74⁸⁸.

∴ 88⁸⁸ - 74⁸⁸ is exactly divisible by (88 - 74) = 14  and (88 + 74) = 162 = 18 × 9

Therefore it is clear that 88⁸⁸ - 74⁸⁸ is exactly divisible by 14 as well as 18.

Answer 2

during a festival celebration in a school the cordinator had bought a number of brownies and put in a bag if they were equally divided among 17 children there are 13 brownies left if they were equally divided among 20 children there are 7 brownies left obviously this can be satisfied if any multiple of 160 brownies are added to the bag what is a reminder when the minimum visible number of brownies in a bag isdivisible by 8