SAT数学题求解答How many integers between 100 and 150, inclusive, c

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SAT数学题求解答
How many integers between 100 and 150, inclusive, can be evenly divided by neither 3 nor 5?
A 33 B 26 C 24 D 28 E 27

问题是问100到150（100与150都包括）的整数既不被3整除又不被5整除的数有多少.
首先,100到150中被3整除的数有102,105,...,150,即共(150-102)/3+1=17个.
其次,100到150中被5整除的数有100,105,...,150,即共(150-100)/5+1=11个.
再次,100到150中被3*5=15整除的数有105,120,...,150,即共(150-105)/15+1=4个.
所以被3整除或者被5整除的数共17+11-4=24个,所以既不被3整除又不被5整除的数有51-24=27个,选E.

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