A total of 774 doctorates in mathematics were granted to United States citizens by American universities in the 1972~1973 school year, and W of these doctorates were granted to women. The total of such doctorates in the 1986~1987 school year was 362, and ω of these were granted to women. If the number of doctorates in mathematics granted to female citizens of the United States by American universities decreased from the 1972~1973 school year to the 1986~1987 school year, was the decrease less than 10 percent ?()
(1)
(2)W=ω+5
A.条件(1)充分,但条件(2)不充分.
B.条件(2)充分,但条件(1)不充分.
C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.
D.条件(1)充分,条件(2)也充分.
E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.
参考答案:C
解析:
该题也即问[*]是否小于10%。(1)不充分,因为(1)中未涉及ω的值,所以无法判断上面的算式是否小于10%,(2)也不充分,因为由(2)中能得到W-ω=5,而得不到[*]的值,所以也无法判断是否小于10%;(1)+(2)充分:[*],因此[*]的值必然小于10%。