[求助]恳请帮助GWD29-13,22,28

yangyang921

Q13:

For any positive integer x, the 2-height of x is defined to be the greatest nonnegative integer n such that 2ⁿ is a factor of x.  If k and m are positive integers, is the 2-height of k greater than the 2-height of m ?

(1)     k > m

(2)    k/m is an even integer.

                  

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient  answer is b

Q22:

Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 4.  Three of the sandwiches were evenly divided among the students.  Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students.  If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich?

 

A.(m+4)/m(m-4)    

B(2m-4)/m(m-4).    

C(4m-4)/m(m-4).  

D(4m-8)/m(m-4)    answer is e

E(4m-12)/m(m-4)

Q28:

A certain company expects quarterly earnings of $0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development.  If earnings are greater than expected, shareholders will receive an additional $0.04 per share for each additional $0.10 of per share earnings.  If quarterly earnings are $1.10 per share, what will be the dividend paid to a person who owns 200 shares of the company’s stock?

 

A.       $92

B.       $96

C.     $104

D.     $120

E.      $240    answer is c

这三题意思没能理解．恳请各位帮帮我，不胜感激．谢谢

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xt142

Q13、k、m都是正整数，n是非负整数，2ⁿ是k（或m）的因子，此时n必须取它能取的最大值，此时的n即为the 2-height of k（或m），比较2-height of k和2-height of m。

情况a：当k（或m）为4的倍数时，n才能取得到大于1的正整数（n>1）；情况b：当k（或m）为2的倍数而非4的倍数时，n=1；情况c：当k（或m）为奇数时，n=0。

条件（1）k>m并不足以得出n(k)、n(m)大小比较的结论；条件（2）当k/m是偶数时，说明k肯定是偶数，而m则可能是三种情况之一：m为情况c时，k为情况a或情况b，n(k)>n(m)；m为情况a时，k也肯定为情况a，且k>m，所以n(k)>n(m)；m为情况b时，k依然为情况a，还是n(k)>n(m)。

Q22、m个人分4个饼，3个饼被m个人平均分完了，第4个饼被m-4个人平均分完了。Carol每个饼都分得一块，问她吃的这4块加起来占一块饼的比例是多少？

设一块饼大小为1，则Carol得到了3×(1/m) + 1/(m-4) = (4m-12)/m(m-4)

Q28、一家公司预计季度每股收益为0.8，一半作为股利发给股东，一半作为研发基金。如果实际每股收益高于预期，则每增加0.1的收益，股东将获得其中的0.04。如果每股收益为1.1，一个拥有200股的股东将会获得多少股利？

0.4×200 + [(1.1-0.8)/0.1]×0.04×200 = 104

yangyang921

谢谢啊,辛苦了

jiangmingjia

当k/m是偶数时,说明K比M至少多一个因子2，因此，可以确定。