doctorates

[ritula]

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 w 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?

(A) 1/10 < W/774 < 1/9

(B) W = w + 5

[parallel_chase]

I think the answer should be C.

774 doctorates 1972-73
W - women doctrates

362 doctorates 1986-87
w - women doctrates

(W-w)/W *100 < 10% ?????


Statement I

1/10 < W/774 < 1/9

774/10 < W < 774/9

77.4 < W < 86

Insufficient, we dont know anything about w.

Statement II

W = w+5

Insufficient.

Combining I & II

W = w+5
W-w=5

77.4 < W < 86

(W-w)/W *100

5/78 * 100 = 6.4%

Therefore for any value of W between 77.4 and 86 the % decrease will always be less than 10%.

Hence C.

Whats the OA?