
A couple gets dressed for a new year party and takes a last look at themselves in the mirror with the wife standing to the right of the husband. For a better look, each one moves at 90 angle thrice with the lady moving in the clockwise direction and the husband in the anticlockwise direction. What will be their positions now with respect to each other as reflected in the mirror?
(a) Back to back
(b) Side by side
(c) Face to face
(d) Cannot be determined
Answer
594.3k+ views
Hint: Here, we will draw a rough sketch of the wife and husband facing in the mirror where the wife is standing on the right side of the husband. So, we will get as
Then we will rotate the wife 90 degree thrice in clockwise direction and draw the figure accordingly. Similarly, we will rotate the husband in an anticlockwise direction in 90 degree and draw the figure. Thus, we will get the answer.
Complete step-by-step answer:
Here, first we will draw a rough figure of husband and wife standing in front of a mirror where the wife is on the right side of the husband. So, we get as
So, here both are facing in the mirror. Now, first we will rotate wife i.e. wife 90 degree in clockwise direction. We get as
The above shown angle is known as clockwise direction. So, we get wife as
Now, we will rotate husband thrice in anticlockwise direction which is given as
So, we will draw for the husband. We get as
So, ultimately, we get both husband and wife in front of mirror as
Thus, we can say that in the mirror both will be reflecting as face to face.
So, the correct answer is “Option A”.
Note: In this type of problem, imagination power is required. So, each and every step Diagram is must to draw then only we will be able to solve it. So, draw according to data given then only the answer will be correct. If we draw the diagram as wife is standing on left of husband, then whole scenario will be changed i.e.
Here, the answer will be back to back side instead of face to face. So, we need to imagine first then draw and try to solve.
Then we will rotate the wife 90 degree thrice in clockwise direction and draw the figure accordingly. Similarly, we will rotate the husband in an anticlockwise direction in 90 degree and draw the figure. Thus, we will get the answer.
Complete step-by-step answer:
Here, first we will draw a rough figure of husband and wife standing in front of a mirror where the wife is on the right side of the husband. So, we get as
So, here both are facing in the mirror. Now, first we will rotate wife i.e. wife 90 degree in clockwise direction. We get as
The above shown angle is known as clockwise direction. So, we get wife as
Now, we will rotate husband thrice in anticlockwise direction which is given as
So, we will draw for the husband. We get as
So, ultimately, we get both husband and wife in front of mirror as
Thus, we can say that in the mirror both will be reflecting as face to face.
So, the correct answer is “Option A”.
Note: In this type of problem, imagination power is required. So, each and every step Diagram is must to draw then only we will be able to solve it. So, draw according to data given then only the answer will be correct. If we draw the diagram as wife is standing on left of husband, then whole scenario will be changed i.e.
Here, the answer will be back to back side instead of face to face. So, we need to imagine first then draw and try to solve.
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