GWD1-Q29, Q31

请帮我看看下面的题好么

Q29:

June 25, 1982, fell on a Friday.  On which day of the week did June 25, 1987, fall?  (Note: 1984 was a leap year.)

A.    Sunday

B.    Monday

C.    Tuesday

D.    Wednesday

E.    Thursday

E

A positive integer n is said to be “prime-saturated” if the product of all the different positive prime factors of n is less than the square root of n.  What is the greatest two-digit prime-saturated integer?

A.    99

B.    98

C.    97

D.    96

E.    95

Q29:

we can simply think of 365 days/year for normal year which gives us
365/7=52 weeks + 1 day,means next year we will get the same date 1 day ahead but for leap year we get
366/7 = 52 weeks + 2 days.
here there are totally 5 years,in which 1 is leap year
so we have to move totally 6 days ahead..
that gives us..... thursday.

Answer is E.

Hope it helps

Q31:

A. Distinct Prime Factors of 99: 2,3,11
Product = 2*3*11 = 66 > sqrt(99) Eliminate A

B. Distinct Prime Factors of 98: 2,7
Product = 14 > sqrt(98)

C. Distinct Prime factors of 97: 97
Product = 97 > sqrt(97)

D. Distinct Prime factors of 96: 2,3
Product = 6 < sqrt(96) ANS [96 = 2×2×2×2×2×3 so 2×3 is 6 which is less than root 96]

E. Distinct Prime Factors of 95: 5,19
Product = 95 > sqrt(95)

Ans is D

谢谢

我的答案是 wednesday/    一共 365*5+1=1725天   1725/7=243余数是5   若能整除则星期相同 为周五  余一时，周六，余2，周日，，余5 ，周三。。

我还用电脑的万年历测试了一下 。。。这样算是对的

第一个题,一般过一年往后推一个,闰年推两个

第二题96的质因数只有2和3 乘积为6 ,6*6=36<96

不知道对不对哦～～～呵呵

谢谢