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  • Question
  • The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:


  • Options
  • A. 0°
  • B. 10°
  • C. 5°
  • D. 20°

  • Correct Answer
  • 10° 

    Explanation

    Angle traced by hour hand in 13 hrs = 360 x 13 ° = 130°.
    3 12 3

    Angle traced by min. hand in 20 min. = 360 x 20 ° = 120°.
    60

    ∴ Required angle = (130 - 120)° = 10°.


    Clock problems


    Search Results


    • 1. Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

    • Options
    • A. 2 years
    • B. 4 years
    • C. 6 years
    • D. 8 years
    • Discuss
    • 2. Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?

    • Options
    • A. 2 times
    • B.
      1 times
      2
    • C.
      3 times
      4
    • D. 3 times
    • Discuss
    • 3. The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:

    • Options
    • A. 12 years
    • B. 14 years
    • C. 18 years
    • D. 20 years
    • Discuss
    • 4. A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?

    • Options
    • A. 7
    • B. 8
    • C. 9
    • D. 10
    • E. 11
    • Discuss
    • 5. The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

    • Options
    • A. 8, 20, 28
    • B. 16, 28, 36
    • C. 20, 35, 45
    • D. None of these
    • Discuss
    • 6. At what angle the hands of a clock are inclined at 15 minutes past 5?

    • Options
    • A.
      58 1 °
      2
    • B. 64°
    • C.
      67 1 °
      2
    • D.
      72 1 °
      2
    • Discuss
    • 7. A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

    • Options
    • A.
      59 7 min. past 3
      12
    • B. 4 p.m.
    • C.
      58 7 min. past 3
      11
    • D.
      2 3 min. past 4
      11
    • Discuss
    • 8. How many times in a day, the hands of a clock are straight?

    • Options
    • A. 22
    • B. 24
    • C. 44
    • D. 48
    • Discuss
    • 9. At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?

    • Options
    • A. 45 min. past 4
    • B. 40 min. past 4
    • C.
      50 4 min. past 4
      11
    • D.
      54 6 min. past 4
      11
    • Discuss
    • 10. At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?

    • Options
    • A. 5 min. past 7
    • B.
      5 2 min. past 7
      11
    • C.
      5 3 min. past 7
      11
    • D.
      5 5 min. past 7
      11
    • Discuss


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