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24. After 9 O'clock a 9 pm and 10 pm will the ter 9 o'clock at what time between 9 pm and 10 pm hour and minute hands of a clock point in opposite directions ? (1) 15 min past 9 (2) 16 min past 9 (3) 16 min past 9 (4) 17min past 9 11 no

Solution 24. (3) At 9 o'clock, the min hand is 9 x 5 = 45 min spaces behind the hour hand. Therefore, the minute hand will have to gain 45 - 30 = 15 min spaces over the hour hand. Gain of 55 min spaces equals 60 min. ... Gain of 15 min spaces equals x 15 . 180 = 164 11 11 Therefore, hour and minute hands of a clock point in opposite directions after 9 O'clock at 16 min past 9.
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