General Mathematics
 

  1. Question: The length of a rectangle plot of land is `2 1/2` times its breadth.If the area of the plot is 1000 sq. metres, What is the length of the plot in metres ?

    A
    20

    B
    25

    C
    30

    D
    50

    Note: Let the length of the plot be x metres Breadth` = 2/5 x` `:. x xx 2/5 x = 1000 => x^2` `= (1000 xx 5/2)` `= 2500 => x = 50` :. Length = 50 m.
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  2. Question: Tiling work of a rectangle hall 60 m long and 40 m broad is to be complete with a square tile of 0.4 m side.If each tile costs Rs. 5, find the total cost of the tiles ?

    A
    Rs.60000

    B
    Rs.65000

    C
    75000

    D
    12000

    Note: Number of tiles` = ((60 xx 40)/(0.4 xx 0.4))` `15000` Total cost `= Rs.(15000 xx 5)` ` = Rs. 75000`
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  3. Question: A room is 6 m long,5 m broad and 4 m high.If all its walls are to be covered with paper 50 cm wide, the length of the paper is :

    A
    96 m

    B
    176 m

    C
    421 m

    D
    208 m

    Note: Area of the paper `= 2 (6 + 5) xx 4 = 88 m^2` Length of the paper` = 88/(1/2) m` `= 176 m`
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  4. Question: The perimeters of a circular and another square field are equal.Fine the area in sq.cm of the circular field if the area of the square field is 484 sq.cm.

    A
    888

    B
    770

    C
    616

    D
    None of these

    Note: Side of square field` = sqrt(484) = 22 cm. :. Permeter` = 22 xx 4 = 88 cm. `2 xx 22/7 xx R = 88 => R = (88 xx 7/44)` `= 14 cm.` Area` = (22/7 xx 14 xx 14) cm^2 = 616 cm^2`
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  5. Question: Two cylindrical buckets have their diameters in the ratio 3 : 1 and their heights are as 1 : 3.Their volumes are in the ratio of :

    A
    1 : 2

    B
    2 : 3

    C
    3 : 1

    D
    3 : 4

    Note: Let their diameters be 3R and R and heights be H and 3H. Then. Ratio of their volumes` = (pi xx (3R)^2 xx H)/(pi xx R^2 xx (3H))` `= 3/1`
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  6. Question: In a 100 m race, A covers the distance in 36 seconds and B in seconds.In this race A beats B by :

    A
    20 m

    B
    25 m

    C
    22.5 m

    D
    9 m

    Note: Distance covered by in 9 sec. `= (100/45 xx 9) m` `= 20 m` :. A beats B by 20 metres.
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  7. Question: In a 200 metres race A beats B by 35 m or 7 seconds.A's time over the course is :

    A
    40 sec

    B
    47 sec

    C
    33 sec

    D
    None of these

    Note: B runs 35 m in 7 sec. :. B covers 200 m in` (7/35 xx 200)` `= 40 sec.` :. B's time over the course = 40 sec A's time over the course = (40 - 7) sec `= 33 sec.`
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  8. Question: In a 30 m race A beats B by 22.5 m or 6 seconds.B's time over the course is :

    A
    86 sec

    B
    80 sec

    C
    76 sec

    D
    None of these

    Note: B runs` 45/2` m in 6 sec. :. B covers 300 m in` (6 xx 2/45 xx 300) sec` `= 80 sec`
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  9. Question: A can run 22.5 m while B runs 25 m.In a kilometer race B beats A by :

    A
    100 m

    B
    `111 1/9 m`

    C
    25 m

    D
    50 m

    Note: When be runs 25 m, A runs `45/2 m` When B runs 1000 m, A runs` (45/2 xx 1/25 xx 1000) m` `= 900 m.` :. B beats A by 100 m.
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  10. Question: In a 500 m race, the ratio of the speeds two contestants A and B is 3 : 4 A has a start of 140 m. Then, A wins by :

    A
    60 m

    B
    40 m

    C
    20 m

    D
    10 m

    Note: To reach the winning post A will have to cover a distance of (500 - 140) m, i,e 360 m. While A covers 3m, B covers 4 m While A covers 360 m, B covers` ( 4/3 xx 360) m` = 480 m. Thus when A reaches the winning post, B covers 480 m and therefore remains 20 m behind. :. A wins by 20 m.
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