App Logo

No.1 PSC Learning App

1M+ Downloads

If (4y4y)=11(4y-\frac{4}{y})=11 , find the value of (y2+1y2)(y^2+\frac{1}{y^2}) .

If x1x=3x-\frac{1}{x} = 3, then the value of x31x3x^3-\frac{1}{x^3} is

f (a + b + c) = 12, and (a2 + b2 + c2) = 50, find the value of (a3 + b3 + c3 - 3abc)

If, (x+1x)=4(x+\frac{1}{x})=4, then the value of x4+1x4x^4+\frac{1}{x^4} is:

If x + y = 4, then the value of (x3 + y3 + 12xy) is

If x4+1x4=34x^4+\frac{1}{x^4}=34, then the value of (x1x)2(x-\frac{1}{x})^2 will be

If a is positive and a2+1a2=7a^2+\frac{1}{a^2}=7, thenfind a3+1a3a^3+\frac{1}{a^3}.

If a = 299, b = 298, c = 297 then the value of 2a3 + 2b3 + 2c3 – 6abc is:

If a = 0.125 then what is value of 4a24a+1+3a\sqrt{4a^2-4a+1}+3a ?

A sales executive marketed 84 items in a week on an average with a standard deviation of 18. Find the coefficient of variation:
Find the variance of first 30 natural numbers
What is the square of standard deviation is called
Calculate the sd of the following data 3, 4, 9, 11, 13, 6, 8, 10.
Which of the following is the minimum value of standard deviation

Which of the following not false

  1. the square root of the mean of squares of deviations of observations from their mean is standard deviation
  2. The variability of a data will decrease if sd increases
  3. The stability or the consistency of a data increases as sd decreases
  4. The data with less sd is better than a data with high sd provided that the two data were expressed with the same unit.
    the square root of the mean of squares of deviations of observations from their mean is called
    Find the mean deviation about the median for the following data 3, 9, 5, 3, 12, 10, 18, 4, 7, 19, 21
    Determine the mean deviation for the data value 5,3,7,8,4,9
    Find the range of numbers 8,6,5,2,1,10,16,19,22,26,25
    Calculate quartile deviation for the following data: 30,18, 23, 15, 11, 29, 37,42, 10, 21
    Find the quartiles and quartile deviation of the following data: 17, 2, 7, 27, 15, 5, 14, 8, 10, 24, 48, 10, 8, 7, 18, 28
    Find the range of 21,12,22,32,2,35,64,67,98,86,76
    Find the range 61,22,34,17,81,99,42,94
    Calculate the quartile deviation of the following data: 500, 630, 750, 300, 129, 357, 100, 110, 117
    Find the range of the following: 500, 630, 720, 520, 480, 870, 960,450

    The value of \6.35×6.35×6.35+3.65×3.65×3.6563.5×63.5+36.5×36.563.5×36.5\frac{6.35 \times 6.35 \times 6.35 + 3.65 \times 3.65 \times 3.65}{63.5 \times 63.5 + 36.5 \times 36.5 - 63.5 \times 36.5} is equal to

    If x + y + z = 19, xyz = 216 and xy + yz + zx = 114, then the value of x3+y3+z3+xyz\sqrt{x^3+y^3+z^3+xyz} is.

    Which of the following are measures of dispersion?

    1. Range
    2. Mean
    3. Variance
    4. Standard deviation

      The value of 5.35×5.35×5.35+3.65×3.65×3.6553.5×53.5+36.5×36.553.5×36.5\frac{5.35\times{5.35}\times{5.35}+3.65\times{3.65}\times{3.65}}{53.5\times{53.5}+36.5\times{36.5}-53.5\times{36.5}} is:

      Which of the following are the properties of dispersion?

      1. It should be rigidly defined
      2. It should be based on all the observations
      3. It should be simple to understand and easy to calculate
      4. It should be capable of further algebraic treatments
        The degree of scatter or variation of the observations in a data about a central value is called

        If 1138=a+b2\sqrt{11-3\sqrt{8}}=a+b\sqrt{2}, then what is the value of (2a+3b)?

        When 5 children from class A join class B, the number of children in both classes is the same. If 25 children from B, join A, then the number of children in A becomes double the number of children in B. The ratio of the number of children in A to those in B is:

        If (10a3 + 4b3) : (11a3 - 15b3) = 7 : 5, then (3a + 5b) : (9a - 2b) =?

        If 27(x + y)3 - 8(x - y)3 = (x + 5y)(Ax2 + By2 + Cxy), then what is the value of (A + B - C)?

        Two positive numbers differ by 1280. When the greater number is divided by the smaller number, the quotient is 7 and the remainder is 50. The greater number is:

        If a + b + c = 6, a3 + b3 + c3 - 3 abc = 342, and a2 + b2 + c2 = 50, then what is the value of ab + bc + ca?

        If a and b are two positive real numbers such that a + b = 20 and ab = 4, then the value of a3 + b3 is:

        If a = 355, b = 356, c = 357, then find the value of a3 + b3 + c3 - 3abc.

        If a + b = 10 and 37\frac{3}{7} of ab = 9, then the value of a3 + b3 is:

        If xy = 16 and x2 + y2 = 32, then the value of (x + y) is:

        Find the factors of the expression 3x2 – 5x – 8.

        If x4+1x4=25716x^4+\frac{1}{x^4}=\frac{257}{16} then find 813(x3+1x3)\frac{8}{13}(x^3+\frac{1}{x^3}), where x>0.

        If a + b = 8 and a + a2 b + b + ab2 = 128 then the positive value of a3 + b3 is:

        If x2+1x2=38x^2+\frac{1}{x^2}=38 , then what is the value of x1x\left| {x - \frac{1}{x}} \right|

        If 2x + y = 6 and xy = 4, then find the value of 8x3 + y3 is:

        If a - b = 4 and a3 - b3 = 88, then find the value of a2 - b2.

        If x + y + z = 10, x3+y3+z3=75x^3 + y^3 + z^3 = 75 and xyz = 15, then find the value of x2+y2+z2xyyzzxx^2 + y^2 + z^2-xy-yz-zx

        If mode is 12A and mode is 15A find Median:
        Find the mode of 2,8,17,15,2,15,8,7,8