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  • Question
  • A man who went out between 3 and 4 and returned between 8 and 9, found that the hands of the watch had exactly changed places. He returned at:


  • Options
  • A. 14 minutes past 8
  • B. 21 1 minutes past 8 . 13
  • C. 19 2 minutes past 8 . 13
  • D. 18 6 minutes past 8 . 13

  • Correct Answer
  • 18 6 minutes past 8 . 13 

    Explanation

    As per the given above question , we can say that
    1. In 1 min ,minute hand moves 6 Degree
    2. In 1 min,hour hand moves 0.5 Degree
    Let suppose man went out at y past three i.e. 3 hours y minutes
    then, minute hand will be at ( 6y ) Degree from origin.
    and hour hand will be at ( 3 × 30 + y × 0.5) Degree = ( 90 + 0.5y ) Degree
    Similarly ,man returned at z past eight i.e. 8 hours z minutes
    then, minute hand will be at ( 6z ) Degree from origin.
    and hour hand will be at ( 8 × 30 + z × 0.5 ) Degree = ( 240 + 0.5z ) Degree
    And as per the given condition :-
    6y = 90 + 0.5y ...... ( ? )
    and 6z = 240 + 0.5z ...... ( ? )
    Solve these equations , we get y = 16.36 and z =43.63


  • More questions

    • 1. 
      If m men working m h per day, can do m units of work in m days, then n men working n h per day would be able to complete how units of work in days?

    • Options
    • A. n3/m2
    • B. m3/n2
    • C. m4/n2
    • D. n4/m3
    • Discuss
    • 2. 
      The average age of two boys and their father is greater then average age of those two boys and their mother by 3 yr. The average age of the four is 19 yr. If the average age of the two boys be 5 1/ 2, then find the age of the father and mother.

    • Options
    • A. 37 yr and 28 yr
    • B. 47 yr and 38 yr
    • C. 50 yr and 41 yr
    • D. 35 yr and 32 yr
    • Discuss
    • 3. 
      387 x 387 + 114 x 114 + 2 x 387 x 114 =?

    • Options
    • A. 250001
    • B. 251001
    • C. 260101
    • D. 261001
    • Discuss
    • 4. 
      3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day should 4 pumps work in order to empty the tank in 1 day?

    • Options
    • A. 10
    • B. 12
    • C. 8
    • D. 15
    • Discuss
    • 5. 
      In how many different ways can the letters of word JUDGE be arranged so that the vowels always come together?

    • Options
    • A. 48
    • B. 24
    • C. 120
    • D. 60
    • Discuss
    • 6. 
      A sum of money amounts to Rs. 850 in 3 years and Rs. 925 in 4 year. The sum is?

    • Options
    • A. Rs. 600
    • B. Rs. 575
    • C. Rs. 625
    • D. Data inadequate
    • Discuss
    • 7. 
      If the diameters of a circle is increased by 100% . Its area is increased by?

    • Options
    • A. 100%
    • B. 200%
    • C. 300%
    • D. 400%
    • Discuss
    • 8. 
      The traffic lights at three different road crossings changes after every 48 sec., 72 sec. and 108 sec. respectively. If they all change simultaneously at 8 : 20 : 00 hrs, then they will again change simultaneously at?

    • Options
    • A. 8 : 27 : 12 hrs.
    • B. 8 : 27 : 24 hrs.
    • C. 8 : 27 : 36 hrs.
    • D. 8 : 27 : 48 hrs.
    • Discuss
    • 9. 
      Average weight of 19 men is 74 kg and the average weight of 38 women is 63 kg. What is the average weight(rounded off to the nearest integer) of all the men and the women together.

    • Options
    • A. 59 kg
    • B. 65 kg
    • C. 69 kg
    • D. 67 kg
    • Discuss
    • 10. Find the highest common factor of 36 and 84.

    • Options
    • A. 4
    • B. 6
    • C. 12
    • D. 18
    • Discuss


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