Bunuel
Short Story : S1 : S2 : S3 : S4 : S5 : S6
Fraction of the total reading assignment : 1/3 : 1/4 : 1/6 : 1/9 : 1/12 :1/18
Hannah was given an assignment to read 6 stories this week. She does her reading on Wednesday and Thursday. Her teacher labeled the stories S1, S2, S3, S4, S5, and S6. the table above shows the percentage of each story as a fraction of the total number of the pages of the entire reading assignment. If Hannah read more than 1/2 of the entire assignment o Wednesday and she always completed a short story in one sitting, did she read S6 on Wednesday?
(1) Hannah read S1 and S4 on Thursday.
(2) Hannah read S2 and S5 on Wednesday.
Are You Up For the Challenge: 700 Level QuestionsShort Story : S1 : S2 : S3 : S4 : S5 : S6
Fraction of the total reading assignment : 1/3 : 1/4 : 1/6 : 1/9 : 1/12 :1/18
Let the total number of pages of all 6 stories combined = 36 (LCM of denominators!)
Multiplying the ratio with 36
--> S1, S2, S3, S4, S5, S6 = 12, 9, 6, 4, 3, 2 pages respectively
Hannah read more than half of pages on Wednesday
--> She reads more than 18 pages on Wednesday
--> Hannah read less than 18 on Thursday
(1) Hannah read S1 and S4 on Thursday.
--> S1 + S4 = 12 + 4 = 16
Case 1: Hannah read S6 on Thursday
--> S1 + S4 + S6 = 12 + 4 + 2 = 18 -->
Not Possible (She reads less than 18 on Thursday.
--> We can definitely conclude that she didn't read any other novel on Thursday
--> A Definite NO -->
Sufficient(2) Hannah read S2 and S5 on Wednesday.
--> S2 + S5 = 9 + 3 = 12
For Hannah to read more than 18 she has to read a novel with more than 6 pages or more than one novel that adds to >6 pages
Case1: S2 + S5 + S1 = 9 + 3 + 12 = 24 (Possible) -->S6 is not read
Case 2: S2 + S5 + S1 + S6 = 9 + 3 + 12 + 2 = 26 (Possible) --> S6 is read
-->
InsufficientOption A