A, B, C, D and E are five rivers. A is shorter than B but longer than E. C is the longest and D is a little shorter than B and a little longer than A. Which is the shortest river?
E
Understanding the River Length Comparisons
The question asks us to determine which of the five rivers (A, B, C, D, and E) is the shortest based on the given relationships between their lengths.
Let's break down the statements one by one and establish inequalities representing the lengths:
- "A is shorter than B but longer than E." This gives us two comparisons:
- A < B
- A > E
- "C is the longest." This means C is longer than all other rivers (A, B, D, and E). So, C is the greatest length.
- "D is a little shorter than B and a little longer than A." This gives us two more comparisons:
- D < B
- D > A
Combining the Relationships to Find the Shortest River
Now let's combine the relationships we derived:
- From the first statement: E < A < B
- From the third statement: A < D < B
- From the second statement: C is the longest.
We have two sequences: E < A < B and A < D < B. Both sequences place A and D between E and B.
Let's compare A, D, and E directly:
- We know A > E.
- We know D > A.
This confirms the order E < A < D.
Now let's place these in relation to B:
- We know A < B.
- We know D < B.
So, E, A, and D are all shorter than B.
Our combined order for E, A, and D is E < A < D. Since both A and D are shorter than B, and E is shorter than A (which is shorter than D), E is also shorter than B and D.
Thus, based on E < A < D and all of them being less than B, the order from shortest to longer among these four rivers is E < A < D < B.
Finally, we know C is the longest river, so it is longer than B. Adding C to the sequence, we get the complete order from shortest to longest:
\( \text{E} < \text{A} < \text{D} < \text{B} < \text{C} \)
Looking at this combined order, the river with the smallest length is E.
Final Answer
Based on the analysis of the lengths of rivers A, B, C, D, and E, the river E is the shortest.
Important Questions from Scheduling
A team of six members is to be selected from ten members M1, M2, M3, M4, M5, M6, M7, M8, M9 and M10. M5 cannot be selected with M10. M6 cannot be selected with M1. M3 to be selected with M9. M4 to be selected with M7. M8 cannot be selected with M5.
Which of the following members can be selected in a team?
Seven games G1, G2, G3, G4, G5, G6 and G7 were played on seven different days of the same week from Monday to Sunday (not necessarily in the same order). Three games were played between G2 and G5. Two games were played between G6 and G4. G3 was played on Tuesday. G2 was played after G4. G7 was played on Friday. G6 was played after G2.
Which of the following statement is correct?
I. No game was played between G2 and G6.
II. G1 was played immediately before G5.
6 teachers P, Q, R, S, T, and U are to deliver the lecture. Each teacher will deliver lectures on one of the days from Monday to Saturday. Each teacher will deliver lectures on different days. There are 3 male and 3 female teachers. Each man is married to a woman. More than two persons deliver between T and U. R delivers on Friday but his wife does not deliver on Monday. P delivered on the next day of S. 2 people present between P and U. P's wife presents P's next day. T and U have the same gender. Which of the following statement is not correct?
Anuj, Ankit, Anu and Alka are teachers who teach Biology, History and Mathematics. Biology is the only subject taught by two teachers, one of whom is male. Two of the four are married to each other and they teach History and Biology respectively. Ankit teaches Biology and is unmarried.
Anu and Alka are females.Which subject does Anuj teach?
Six persons A, B, C, D, E and F work on six different days of a same week from Sunday to Friday (not necessarily in the same order). Three persons work between A and F. Two persons work between B and D. E works on Monday. C works after D, but before F.
Which of the following statement is correct?
I. B works on Friday.
II. C works on Wednesday.
