Clock and Calendar

Q 5.when the hands are in the opposite directions,they are ------- minute spaces apart, A)60 B)15 C)30 D)0 Answer : Option C Explanation: There is no explanation Q 6.A clock is started at noon. By 10 minutes past 5, the hour hand has turned through A)32 8/11 B)36 8/11 C)34 8/11 D)33 8/11 Answer : Option A Explanation: Angle traced by hour hand in 12 hrs = 360º Angle traced by hour hand in 5 hrs 10 min. i.e 31/6 hrs =(360/12*31/6)° = 155° Q 7.At what time between 9 and 10 o'clock will the hands of a watch be together? A)(45 +1/11) min past 9 B) (49 +1/11) min past 9 C) (45 +7/11) min past 11 D) (49 + 3/11) min past 11 Answer : Option B Explanation: To be together between 9 and 10 o'clock, the minute hand has to gain 45 min. spaces. 55 min. spaces gained in 60 min. 45 min. spaces are gained in(60/55*45) min 491⁄11 or min Q 8. At 3.40, the hour hand and the minute hand of a clock form an angle of: A)120 B)140 C)130 D)135 Answer : Option C Explanation: Angle traced by hour hand in 12 hrs. = 360º. Angle traced by it in hrs =(360/12*11/3)º= 110º Angle traced by minute hand in 60 min. = 360º. Angle traced by it in 40 min =(360/60*40)º = 240º Required angle (240 - 110)º = 130º

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