Average


  1. On a journey across Delhi, a taxi average 30 kmph for 60% of the distance, 20 kmph for 20% of it and 10 kmph for the remainder, the average speed for the whole journey is ?









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    Let total journey = y km
    Total time taken = time taken during 60% of distance + time taken during 20% of distance + time taken in remaining distance
    = [( 60y / 100 ) / 30] + [( 20y / 100 ) / 20] + [( 20y / 100 ) / 10]
    = ( y / 50 + y / 100 + y / 50 )hrs
    = y/20 hrs.

    Correct Option: A

    Let total journey = y km
    Total time taken = time taken during 60% of distance + time taken during 20% of distance + time taken in remaining distance
    = [( 60y / 100 ) / 30] + [( 20y / 100 ) / 20] + [( 20y / 100 ) / 10]
    = ( y / 50 + y / 100 + y / 50 )hrs
    = y/20 hours.

    Average speed = total distance traveled / total time taken.
    = [y / ( y/20 )] km/hr
    =20 km/hr.


  1. With an average speed of 40km/hr. a train reached its destination in time. If it goes whith an average speed of 35km/hr, it is late by 15 minute . The total journey is ?









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    Let total journey be y km.
    From question y/35 - y/40= 15/60

    Correct Option: C

    Let total journey be y km.
    From question y/35 - y/40= 15/60
    ⇒ y = ( 35 x 40 )/ ( 4 x 5 ) = 70
    ∴ Total Journey = 70 km



  1. The average of 10 number is calculate as 15. It is discovered later on that while calculating the average one number , namely 36 was wrongly read as 26. The correct average is ?









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    New sum of number = previous sum - 26 + 36
    =10 x 15 - 26 + 36
    = 160

    Correct Option: C

    New sum of numbers = previous sum - 26 + 36
    =10 x 15 - 26 + 36
    = 160
    ∴ Correct Average = 160 / 10 = 16.


  1. The average of 13 result is 68. The average of first seven is 63 and that of the last seven is 70 , the seventh result is ?









  1. View Hint View Answer Discuss in Forum

    Seventh Result = sum of first 7 results + sum of last 7 results - sum of all 13 results.

    Correct Option: A

    Seventh Result = sum of first 7 results + sum of last 7 results - sum of all 13 results.
    ⇒ Seventh Result = (7 x 63) + (7 x 70) - (13 x 68 )
    =47



  1. The average of 25 results is 18, that of first twelve is 14 and of last twelve is 17 . Thirteenth result is?









  1. View Hint View Answer Discuss in Forum

    Thirteenth Result = sum of all 25 results - sum of first 12 results - sum of last 12 results.

    Correct Option: C

    Thirteenth Result = sum of all 25 results - sum of first 12 results - sum of last 12 results.
    = 25 x 18 - 12 x 14 – 12 x 17
    =78