Latest Questions

  1. Question: Rs. 2000 amount to Rs. 2600 in 5 years at simple interest.If the interest rate is increased by 3%,it would amount to how much ?

    A
    Rs.2900

    B
    Rs. 3200

    C
    Rs. 3600

    D
    None of these

    Note: Rate` = (600/2000 xx 100/5)` `= 6% New rate = 9%` `S.I = ((2000 xx 9 xx 5)/100)` `= 900` :. Amount = Rs. (200 + 900) = 2900.`
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  2. Question: On a certain sum, the simple interest at the end of `6 1/4` years becomes `3/8` of the sum.What is the rate percent ?

    A
    7%

    B
    6%

    C
    5%

    D
    `5 1/2 %`

    Note: Let the sum be x. Then, S.I` = (3x)/8` :. Rate` = ((100 xx (3x)/(8))/(x xx 25/4))` `= (300 x)/8 xx 4/(25x) = 6%`
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  3. Question: An amount of Rs.100000 is invested in two types of share.The first yields an interest of 9% per annum and the second yields 11% per annum.It the total interest at the end of one year is `9 3/4%`, then the amount invested in each ahare was :

    A
    Rs.72500, Rs. 27500

    B
    Rs.62500, Rs. 37500

    C
    Rs. 52500, Rs.47500

    D
    Rs. 82500, Rs. 17500

    Note: Let the first investment be Rs. x. Then, `(x xx 9 xx 1)/100 + ((100000 - x) xx 11 xx 1)/100` `= 100000 xx 39/4 xx 1/100` `=> (9x)/100 + (1100000 - 11x)/100` `= (975000)/100` `=> 1100000 - 2x` `= 975000 => x = 62500` :. The two amounts are Rs. 62500 and Rs. 37500
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  4. Question: A room is 6 m long,5 m broad and 4 m high.It has one door 2.5 high and 1.2 m broad and has one window I m broad and I m high. Find the area in sq. metres of the paper required to cover the four walls of the room.

    A
    84

    B
    100

    C
    120

    D
    None

    Note: Area to be papered `= 2 (6 + 5) xx 4 - [(2.5 xx 1.2) + (1 xx 1)] sq.m.` `= (88 - 4) = 84 m^2`
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  5. 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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  6. 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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  7. 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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  8. 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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  9. 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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