lw657 wrote:
Set I consist of the integers from 11 through 100, inclusive.
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.
Explanation::To find out the multiples of a given number from a set = (Last number of the set i.e a multiple of the given number - First number of the set i.e a multiple of the same given number)/(Multiple of the given number)+ 1
Option A : multiple of 4 from 11 to 100, therefore : \({\frac{(100 - 12)}{4}}+ 1 = 23\) i.e. no. of integer that are multiples of 4 from 11 to 100 is 23)
Therefore 4 times the number of integers in set = \(4 * 23 = 92\)
Option B: multiple of 5 from 11 to 100, therefore :\({\frac{(100 - 15)}{5}}+ 1 = 18\) i.e. no. of integer that are multiples of 4 from 11 to 100 is 18)
Therefore 5 times the number of integers in set = \(5 * 18 = 90\)
Hence Option A is the answer
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