General Mathematics
 

  1. Question: A is twice as fast as B and B is thrice as fast as C. The journey covered by C in 42 minutes will be covered by A in :

    A
    7 min.

    B
    14 min.

    C
    28 min.

    D
    35 min.

    Note: Not available
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  2. Question: A car takes 5 hours to cover a distance of 300 km. How much should the speed in km/hr be maintained to cover the same distance in`4/5` th of the previous time ?

    A
    48

    B
    60

    C
    75

    D
    120

    Note: Distance = 300 km. Time required` = (4/5 xx 5) = 4` hours Speed` = (300/4) = 75` km/hr
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  3. Question: Two men start together to walk a certain distance at 3.75 km and 3 km per hour respectively. The former arrives 30 minutes before the later. The distance they walked is :

    A
    7.5 km

    B
    10 km

    C
    12.5 km

    D
    15 km

    Note: Suppose they walked x km.Then, `x/3 - x/(3.75)` `= 30/60 => (0.75 x)/(3 xx 3.75)` `= 1/2` `:. x = (3 xx 3.75)/(1.5)` `= 7.5 km`
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  4. Question: The wheel of a an engine`7 1/2` metres in circumference makes 7 revolutions in 9 seconds. The speed of the train in km per hour is :

    A
    150

    B
    132

    C
    130

    D
    135

    Note: Distance covered in 7 revolutions `= (7 xx 2 xx 22/7 xx 15/2) m` `= 330 m.` Distance covered in 9 sec m. Distance covered in 1 hour `= (330/9 xx (60 xx 60)/(1000)) m` `= 132 km`
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  5. Question: A train X starts from the same place at the speed of 50 km/hr.After how much time will Y cross X ?

    A
    3 hrs

    B
    `2 3/4 hrs`

    C
    `3 1/2 hrs`

    D
    `2 1/4 hrs`

    Note: Suppose they cross after x hours. Distance covered by Y in (x - 1) hours = Distance covered by X in x hours 70 (x - 1) = 50 x => x = 3 1/2`
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  6. Question: A person travels equal distance with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance (in km) is :

    A
    2

    B
    3

    C
    4

    D
    5

    Note: `x/3 + x/4 + x/5` `= 47/60 => 20x + 15x + 12x` `= 47 => x = 1` :. Total distance` = (1 + 1 + 1) km` `= 3 km`
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  7. Question: A person travels equal distance with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance (in km) is :

    A
    2

    B
    3

    C
    4

    D
    5

    Note: `x/3 + x/4 + x/5` `= 47/60 => 20x + 15x + 12x` `= 47 => x = 1` :. Total distance` = (1 + 1 + 1) km` `= 3 km`
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  8. Question: A train covers a distance between station A and B in 45 minutes.If the speed of the train is reduced by km/hr,then the same distance is covered in 48 minutes. What is the distance between the station A and B ?

    A
    60 km

    B
    64 km

    C
    80 km

    D
    55 km

    Note: Let the distance between A and B be x km. Speed` = x/((45∕60))` `= (4x)/3` km∕hr New speed` = ((4x)/3 - 5)` `= ((4x - 15)/3)` km∕hr. `:. 48/60 xx (4x - 15)/3` `= x => 16x - 60` `= 15x => x = 60`
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  9. Question: Which of the following trains is the fastest ?

    A
    25 m∕sec.

    B
    1500 m∕min

    C
    90 km∕hr

    D
    None

    Note: 1500 m∕min 90 km∕hr` = (90 xx 5/18)` m∕sec. = 25 m∕sec. So,all the given speeds are equal.
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  10. Question: A train passes over a bridge of length 200 m in 40 seconds.If the speed of the train is 81 km per hour, its length is :

    A
    900 m

    B
    1800 m

    C
    700 m

    D
    600 m

    Note: Speed of the train `= (81 xx 5/18)` m∕sec. `= 45/2` m∕sec Let the length of the train be x metres. `(x + 200)/40` `= 45/2 => 2x + 400` `= 1800 => x = 700 m.`
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