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Set T consists of the integers from 11 through 100, inclusive. Quantit
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15 Feb 2024, 03:25
15 Feb 2024, 03:25
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Set T consists of the integers from 11 through 100, inclusive.
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.
Quantity A |
Quantity B |
4 times the number of integers in set T that are multiples of 4. |
5 times the number of integers in set T that are multiples of 5. |
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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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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Re: Set T consists of the integers from 11 through 100, inclusive. Quantit
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15 Feb 2024, 10:19
15 Feb 2024, 10:19
1
To find the number of integers that are multiples of n, the formula is:
1 + [(Greatest multiple of n in the range) - (Least multiple of n in the range) / n ]
Quantity A
The greatest multiple of 4 is 100 and the least multiple of 4 is 12.
\(1 + \frac{100-12}{4} = 23\) <-- The number of integers that are multiples of 4
4 times the number is \(23 * 4 = 92\)
Quantity B
The greatest multiple of 5 is 100 and the least multiple of 5 is 15.
\(1 + \frac{100-15}{5} = 18\) <-- The number of integers that are multiples of 5
5 times the number is \(18 * 5 = 90\)
Since 92 > 90, Quantity A is greater.
1 + [(Greatest multiple of n in the range) - (Least multiple of n in the range) / n ]
Quantity A
The greatest multiple of 4 is 100 and the least multiple of 4 is 12.
\(1 + \frac{100-12}{4} = 23\) <-- The number of integers that are multiples of 4
4 times the number is \(23 * 4 = 92\)
Quantity B
The greatest multiple of 5 is 100 and the least multiple of 5 is 15.
\(1 + \frac{100-15}{5} = 18\) <-- The number of integers that are multiples of 5
5 times the number is \(18 * 5 = 90\)
Since 92 > 90, Quantity A is greater.
gmatclubot
Re: Set T consists of the integers from 11 through 100, inclusive. Quantit [#permalink]
15 Feb 2024, 10:19
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