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The greatest number of consecutive nonnegative integers which have a s
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19 May 2023, 02:03
19 May 2023, 02:03
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Question Stats:
44% (01:04) correct
55% (01:28) wrong based on 49 sessions
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Quantity A |
Quantity B |
The greatest number of consecutive nonnegative integers which have a sum less than 22 |
6 |
A Quantity A is greater.
B Quantity B is greater.
C The two quantities are equal.
D The relationship cannot be determined from the information given.
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Re: The greatest number of consecutive nonnegative integers which have a s
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28 May 2023, 13:31
28 May 2023, 13:31
Expert Reply
OE
Quantity A is the greatest number of consecutive nonnegative integers whose sum is less than 22, so start adding the numbers with the least value. However, Quantity A contains an important clue with the word nonnegative. This means that the number 0 could be a value. Start with 0 and add until the sum is the greatest it could be without exceeding 22. So 0 + 1 + 2 = 3; 3 + 3 = 6; 6 + 4 = 10; 10 + 5 = 15; and 15 + 6 = 21. Therefore, the consecutive nonnegative integers whose sum is less than 22 are 0, 1, 2, 3, 4, 5, and 6. That is 7 values. Quantity A is greater than Quantity B, and the correct answer is (A).
Quantity A is the greatest number of consecutive nonnegative integers whose sum is less than 22, so start adding the numbers with the least value. However, Quantity A contains an important clue with the word nonnegative. This means that the number 0 could be a value. Start with 0 and add until the sum is the greatest it could be without exceeding 22. So 0 + 1 + 2 = 3; 3 + 3 = 6; 6 + 4 = 10; 10 + 5 = 15; and 15 + 6 = 21. Therefore, the consecutive nonnegative integers whose sum is less than 22 are 0, 1, 2, 3, 4, 5, and 6. That is 7 values. Quantity A is greater than Quantity B, and the correct answer is (A).
gmatclubot
Re: The greatest number of consecutive nonnegative integers which have a s [#permalink]
28 May 2023, 13:31
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