Latest Questions
 

  1. Question: If` (676)^2 = 456976,` the value of `sqrt(45.6976` is :

    A
    `0.00676`

    B
    `0.676`

    C
    `6.76`

    D
    `0.0676`

    Note: `sqrt(456976 = 676` `:. sqrt(45.6976 = sqrt(456976)/sqrt(10000)` `= (676)/(100)` `= 6.76`
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  2. Question: `((3sqrt(2))/(sqrt(6) - sqrt(3)) - (4sqrt(3))/(sqrt(6) - sqrt(2)) - 6/(sqrt(8) - sqrt(12))) = ?`

    A
    1

    B
    `- sqrt(3)`

    C
    `sqrt(3) + sqrt(2)`

    D
    `sqrt(3) - sqrt(2)`

    Note: Given Exp.` = (3sqrt(2)) (sqrt(6) + sqrt(3))/((sqrt(6) + sqrt(3)) ((sqrt(6) - sqrt(3)) - ((4sqrt(3)) ((sqrt(6) + sqrt(2))/((sqrt(6) - sqrt(2)) ((sqrt(6) + sqrt(2)) - 6/((sqrt(12) + sqrt(8)) xx ((sqrt(12) - sqrt(8))/((sqrt(12) - sqrt(8))` `= (sqrt(2) (sqrt(6) + sqrt(3)) - sqrt(3) (sqrt(6) + sqrt(2)) - 3/2 (sqrt(12) - sqrt(8)` `= sqrt(12) + sqrt(6) - 3sqrt(2) - sqrt(6) - 3sqrt(3) + 3sqrt(2)` `= 2sqrt(3) - 3sqrt(3) = - sqrt(3)`
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  3. Question: If`a = sqrt(6) + sqrt(5)` and` b = sqrt(6) - sqrt(5),` then `2a^2 - 5ab + 2b^2 = ?`

    A
    43

    B
    39

    C
    31

    D
    27

    Note: `a + b = 2sqrt(6)` and ab` = (6 - 5) = 1` `:. 2a^2 - 5ab + 2b^2` `= 2 (a + b)^2 - 9ab` `= 2(2sqrt(6))^2 - 9 xx 1` `= (48 - 9) = 39`
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  4. Question: If`a = sqrt(6) + sqrt(5)` and` b = sqrt(6) - sqrt(5),` then `2a^2 - 5ab + 2b^2 = ?`

    A
    43

    B
    39

    C
    31

    D
    27

    Note: `a + b = 2sqrt(6)` and ab` = (6 - 5) = 1` `:. 2a^2 - 5ab + 2b^2` `= 2 (a + b)^2 - 9ab` `= 2(2sqrt(6))^2 - 9 xx 1` `= (48 - 9) = 39`
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  5. Question: The price of cooking oil has increased by 25%. The percentage of reduction that a family should effect in the use of cooking oil so not to increase the expenditure on this account is :

    A
    25%

    B
    30%

    C
    20%

    D
    15%

    Note: Required reduction` = [r/((100 + r))] %` `= (25/125 xx 100) = 20%`
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  6. Question: `4598` is `95%` of

    A
    4800

    B
    4850

    C
    4840

    D
    None

    Note: Let` 95%` of x = 4598 Then, `x = (4598 xx 100/95)` `= 4840`
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  7. Question: In an organisation, 40% of the employees are matriculates 50% of the remain-ing are graduates and the remaining 180 are post-graduates. How many employees are graduates ?

    A
    360

    B
    240

    C
    300

    D
    180

    Note: Matriculates` = 40/(100) x = (2x)/5.` Remaining` = (x - (2x)/5) = (3x)/5` Graduates` = 50/(100) xx (3x)/5 = (3x)/10` `:. (2x)/5 + (3x)/10 + 180` `= x => x - (7x)/10` `= 180 => x = 600` :. Graduates` = 3/10 xx 600 = 180`
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  8. Question: If` 40%` of the people read newspaper x, 50% read newspaper Y and 10% read both the papers. what percentage of the people read neither newspaper ?

    A
    10%

    B
    15%

    C
    20%

    D
    25%

    Note: `n(A) = 40, n(B) = 50, n(AnnnB) = 10` `n(AuuuB) = n(A) + n(B) - n(AnnnB)` `= (40 + 50 - 10) = 80` n(not A and B) `= n(A^cnnnB^c)` `= n(AuuuB)^c` `= 100 - n(AuuuB)` `= (100 - 80) = 20`
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  9. Question: The population of a town increases by 5% annually. If its population in 1995 was 138915, what it was in 1992 ?

    A
    110000

    B
    100000

    C
    120000

    D
    90000

    Note: `x xx (1 + 5/(100))^3` `= 138915 => x xx 21/20 xx 21/20 xx 21/20` `= 138915` `:. x = ((138915 xx 20 xx 20 xx 20)/(21 xx 21 xx 21))` `= 120000`
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  10. Question: 25% of a certain is 15 less than 30% of the same number. What is that number ?

    A
    600

    B
    300

    C
    750

    D
    135

    Note: `30/(100) x - 25/(100) x = 15 => x = 300`
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