Of the following series of partial sums which might arise in the addition of 36 and 25, the one that is incorrect is: A) 11, 31, 61 B) 11, 4, 6, 61 C) 11, 41, 61 D) 36, 56, 61

Question

Mathematics

Jaylan Travis

5 November, 09:34

Of the following series of partial sums which might arise in the addition of 36 and 25, the one that is incorrect is: A) 11, 31, 61 B) 11, 4, 6, 61 C) 11, 41, 61 D) 36, 56, 61

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Answers (1)

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Julio · Answer 1

Note that

25 + 36 = 61.

The partial sums of 61 are

1, 3, 6, 10, 15, 21, 28, 36, 45, 55.

These numbers arise in partial sums of 61.

4 = 1 + 3

6 is a partial sum

11 = 1 + 10

31 = 10 + 21

36 is a partial sum

41 cannot be obtained from partial sums.

56 = 28 + 28

61 is a partial sum

Test the given answers.

A) 11,31,61 qualify as partial sums. It is correct.

B) 11,31,61 qualify as partial sums. It is correct.

C) 11 and 61 qualify as partial sums, but 41 does not. It is incorrect.

D) 36,56,61 qualify as partial sums. It is correct.

Answer:

C) is incorrect.