1. Question: `((0.05)^2 + (0.41)^2 + (0.073)^2)/((0.005)^2 + (0.041)^2 + (0.0073)^2 )= ?`

    A
    100

    B
    10

    C
    1000

    D
    None

    Note: Not available
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  2. Question: One litre of water weights 1 kg. How many cubic millimetres of water will weight 0.1 gram ?

    A
    10

    B
    100

    C
    0.1

    D
    1

    Note: 1000 Cu cm weighs 1000 gms. i,e 1000 gms is the weight of` (1000 xx 1000)` Cu mm 0.1 gm is the weight of` ((1000 xx 1000)/1000 xx 0.1)` Cu mm = 100 Cu mm.
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  3. Question: Out of a tank which is` 3/4` th full, 21 litres of water is drawn out. The tank is now `2/5` th full. what is the capacity of the tank in litres ?

    A
    200

    B
    120

    C
    40

    D
    60

    Note: Let the capacity of the tank be x litres. Then, `3/4 x - 21 = 2/3 x => (3x)/4 - (2x)/5` `= 21 => x = 60`
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  4. Question: Talekar is as much heaver than Suresh as he is lighter than Gokhale. If the total weight of Suresh and Gokhale is 140 kg, what is the weight of Talekar ?

    A
    55 kg

    B
    65 kg

    C
    70 kg

    D
    Data insufficient

    Note: `T - S = G - T =>G + S = 2T` `:. 2% = 140 => T = 70`
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  5. Question: If` a = 1.2, b = 2.1` and `c = - 3.3` then the value of` (a^3 + b^3 + c^3 - c abc) is :

    A
    1

    B
    2

    C
    3

    D
    0

    Note: `a + b + c = 1.2 + 2.1 - 3.3 = 0` `=> a^3 + b^3 + c^3 ` `= 3abc => a^3 + b^3 + c^3 - 3abc = 0`
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  6. Question: If` a = 1.2, b = 2.1` and `c = - 3.3` then the value of` (a^3 + b^3 + c^3 - c abc)` is :

    A
    1

    B
    2

    C
    3

    D
    0

    Note: Not available
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  7. Question: Find out the numbers indicated by x and in `3 1/x xx y 2/5 = 13 3/4`fractions being in their lowest terms.

    A
    `x = 4, y = 8`

    B
    `x = 4, y = 4`

    C
    `x = 2, y = 4`

    D
    `x = 8, y = 4`

    Note: Take y = 4. Then,` 3 1/x xx 4 2/5 = 13 3/4` `:. (3x + 1)/x` `= (35/4 xx 5/22) => (3x + 1)/x` `= (3x + 1)/x = 25/8` `=> 24x + 8 = 25x => x = 8` `:. x = 8, y = 4`
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  8. Question: Find out the numbers indicated by x and in `3 1/x xx y 2/5 = 13 3/4`fractions being in their lowest terms.

    A
    `x = 4, y = 8`

    B
    `x = 4, y = 4`

    C
    `x = 2, y = 4`

    D
    `x = 8, y = 4`

    Note: Take y = 4. Then,` 3 1/x xx 4 2/5 = 13 3/4` `:. (3x + 1)/x` `= (35/4 xx 5/22) => (3x + 1)/x` `= (3x + 1)/x = 25/8` `=> 24x + 8 = 25x => x = 8` `:. x = 8, y = 4`
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  9. Question: `(sqrt(31) - sqrt(29))/(sqrt(31) + sqrt(29)) = ?`

    A
    `60 - 2 sqrt(899)`

    B
    `30 - sqrt(899)`

    C
    `30 + sqrt(899)`

    D
    `1/(30 - sqrt(899))`

    Note: Given Exp.` ((sqrt(31) - sqrt(29))/((sqrt(31) + sqrt(29)) xx ((sqrt(31) - sqrt(29))/((sqrt(31) - sqrt(29))` `= ((sqrt(31) - sqrt(29)^2)/((31 - 29))` `= (31 + 29 - 2 sqrt(31) xx sqrt(29))/2` `= 30 - sqrt(899)`
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  10. Question: `(1 - 1)/(1 + sqrt(2)) + 1/(1 - sqrt(2)) = ?`

    A
    `2sqrt(2) -1`

    B
    `1 - 2sqrt(2)`

    C
    `1 - sqrt(2)`

    D
    `- 2sqrt(2)`

    Note: Not available
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