There are 6 dishes p through u, among which 2 are starters, 2 are main course and 2 are desserts. they are arranged in circular order. -p is adjacent to u
-r is not adjacent to either q or t
- s is the main course and is adjacent to the desserts
-both the starters are adjacent to each other
-p is opposite a dessert which is not q
which is a correct combination?
Answers
Answer:
Step-by-step explanation:
P AND T
Given:
Six dishes: p, q, r, s, t, u
No. of starters = 2
No. of main courses = 2
No. of desserts = 2
To find:
The correct combination.
Solution:
Draw a circle with six points on it as shown in the figure. Place 'r' on any marked point of this circle. 't' and 'q' should not be adjacent to 'r' which means 't' and 'q' should not be placed on the left or right of 'r'. Let 't' be placed second to the left of 'r' and just left to it let 'q' be placed. 'p' should not be placed on the opposite side of 'q'. So, 'p' is placed on the opposite side of 't' which is a dessert. Now, two more positions are remaining where we have to place 's' and 'u'.
's' is the main course and is adjacent to the desserts, which means 's' is placed between 't' and 'r'. 't' is one of the two desserts and the other dessert should be 'r' and it is given that 'q' is not a dessert. Hence, 's' is placed between 't' and 'r'. The remaining position is between 'p' and 'q' and we place 'u' in that position.
Hence, the desserts are 'r' and 't'. Now, it is given that the starters are adjacent to each other. They could be 'p' and 'u' or 'u' and 'q'. Let us assume that 'p' and 'u' are starters and 'q' is the main course.
Hence, the combination is:
Starters: p and u
Main courses: s and q
Desserts: r and t
The correct combination is:
Starters: p and u
Main courses: s and q
Desserts: r and t