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Question:

Select a figure from the options which will complete the given figure pattern.

7:20

6:40

7:40

7:00

Solution:

The correct answer is option B.
The concept to keep in mind here is for every minute an hour hand covers 0.5o, while a minute hand covers 6o in every minute.
➡From the 12 (in 1st figure) to 8 (in 2nd figure) on the clock the minute hand moves by 240o.
➡Then from 8 (in 2nd figure) to 4 (in 3rd figure) the minute hand again moves by 240o.
➡Hence in the 4th figure also the minute needs to move by 240o, which means it needs to be on 8 again. This narrows down the answer to options B or C.
➡In the 1st the hour hand is on 2 and moves by 90o to 11 in the 2nd figure. However in the 3rd figure it moves back only by 60o to 9.
➡Hence in the 4th figure we expect the hour hand to move by only 30o in keeping with the decreasing arithmetic progression of 90→60→30. That means we expect the hour hand to be on 8 in the 4th figure.
➡If both hour and minute hands are near 8 then the time is 7:40 (not 8:40, a common misconception).