Latest Questions
 

  1. 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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  2. 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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  3. 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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  4. 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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  5. Question: A 180 m long train crosses a man standing on the platform in 6 seconds. What is the speed of the train ?

    A
    90 km∕hr

    B
    108 km∕hr

    C
    120 km∕hr

    D
    88 km∕hr

    Note: Speed of the train` = (180/6)` m∕sec. = 30 m∕sec. `= (30 xx 18/5)` km∕hr = 108 km∕hr.
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  6. Question: Two trains are running at 40 km∕hr and 20 km∕hr respectively in the same direction.Fast train completely passes a man sitting in the slow train in 5 seconds.What is the length of the fast train ?

    A
    `23 2/9 m`

    B
    27 m

    C
    `27 7/9 m`

    D
    23 m

    Note: Relative speed` = (40 - 20)` = 20 km∕hr `= (20 xx 5/18)` m∕sec. Length of the train` = (20 xx 5/18 xx 5) m` `= 27 7/9 m.`
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  7. Question: A train passes a 50 m long platform in 14 seconds in 14 seconds and a man standing on the platform in 10 seconds.The speed of the train in km∕hr is :

    A
    24

    B
    36

    C
    40

    D
    45

    Note: Let the length of train be x metres.Then `x/10 = (50 + x)/14 => 14x` `= 500 + 10x => x = 125.` :. Speed` = (125/10)` m∕sec. `= (125/10 xx 18/5)` km∕hr `= 45` km∕hr.
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  8. Question: A train travelling with a constant speed crosses a 96 m long platform in 12 seconds and another 141 m long platform in 15 seconds.The length of the train is :

    A
    80 m

    B
    64 m

    C
    84 m

    D
    90 m

    Note: Let the length of the train be x metres.Then, `(96 + x)/12` `= (141 + x)/15 => 15 (96 + x)` `= 12 (141 + x) => x = 84 m.`
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  9. Question: A sum of Rs. 2400 amounts to Rs.3264 in four years at a certain rate of simple interest.If the rate of interest is increased by 1% the same sum n the same time would amounts to :

    A
    Rs. 3288

    B
    Rs. 3312

    C
    Rs. 3340

    D
    Rs. 3360

    Note: Original rate` = ((864 xx 100)/(2400 xx 4))` `= 9%` New rate` = 10%` Now S.I` = (2400 xx 10 xx 4/100) = 960` :. Amount` = Rs. (2400 + 960)` `= Rs. 3360.`
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  10. Question: A sum of Rs. 2400 amounts to Rs.3264 in four years at a certain rate of simple interest.If the rate of interest is increased by 1% the same sum n the same time would amounts to :

    A
    Rs. 3288

    B
    Rs. 3312

    C
    Rs. 3340

    D
    Rs. 3360

    Note: Original rate` = ((864 xx 100)/(2400 xx 4))` `= 9%` New rate` = 10%` Now S.I` = (2400 xx 10 xx 4/100) = 960` :. Amount` = Rs. (2400 + 960)` `= Rs. 3360.`
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