Seven students A ,B, C,D, E,F and G are sitting in a row. C is sitting between A and D . E is between F and G and B is between D and F . A and G are at the two ends. D is sitting between a) A and B b) B and E c) C and B d) C and F
Answers
the order they sit is ACDBFEG
D is sitting between C and B
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Answer:
Based on the given information, we can arrange the students in the following order:
A - C - D - B - F - E - G
From this arrangement, we can see that:
a) A and B are not adjacent, so D cannot be sitting between A and B.
b) B and E are adjacent, but D is not between them.
c) C is between A and D, but B is not adjacent to C.
d) C is between A and D, and F is adjacent to C. Therefore, the answer is d) C and F.
Step-by-step explanation:
Let's break down the information given and use it to determine where student D is sitting.
C is sitting between A and D: This means that A, C, and D are sitting next to each other in that order, with C in the middle. The possible arrangements for this part are:
A C D
D C A
E is between F and G: This means that F, E, and G are sitting next to each other in that order, with E in the middle. The possible arrangements for this part are
F E G
G E F
B is between D and F: This means that D, B, and F are sitting next to each other in that order, with B in the middle. Since we don't know the order of A, C, and D yet, we can't determine the exact location of B and F in the row. However, we do know that they are next to each other, so we can list all the possible arrangements for this part:
D B F
F B D
A C D B F
A C D F B
D C A B F
D C A F B
A and G are at the two ends: This means that A is on one end of the row and G is on the other end. We don't know which end each of them is on, but we can list both possibilities:
A ... G
G ... A
Now, let's put all the information together and list all the possible arrangements of the students in the row:
A C D B F E G
D C A B F E G
A C D F B E G
D C A F B E G
F B D C A E G
D B F C A E G
F B D C A G E
D B F C A G E
In all of these arrangements, D is sitting between C and F. So the answer is d) C and F.
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