Free Practice Question
PS · Problem Solving
705-805
Divisibility/Multiples/Factors
What is the remainder when is divided by 11?
Answer Choices
Correct answer marked belowA
2
B
4
C
5
7
Correct
E
9
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Explanation
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Official Explanation
Official
We can write 1344452457 = 5k + 2, for some odd integer k.
= = 4 × = 4 × = 4 × .
Since k is an odd integer, will be of the form 11B + 10 for some positive integer B.…
= = 4 × = 4 × = 4 × .
Since k is an odd integer, will be of the form 11B + 10 for some positive integer B.…
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What it tests
Your understanding of divisibility rules, least common multiples, and greatest common factors.
Common trap
Forgetting that 1 is not prime and that every integer divides 0.
Details
Difficulty
705-805
Type
PS
Category