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CDS I 2022 Mathematics Test - 20
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CDS I 2022 Mathematics Test - 20
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  • Question 1/10
    1 / -0.33

    If log10x + log10x2 = 2log10 x + 1, then what is the value of x?

    Solutions

     

  • Question 2/10
    1 / -0.33

    Solutions

    The following expression can be written in a way as described below so that the given log values can be used-

     

  • Question 3/10
    1 / -0.33

    How many digits are there in (216)10 ?

    Solutions

    Let x = (216)10

    Taking Logarithms on both sides

    We can observe that

     

  • Question 4/10
    1 / -0.33

    If  where k, p and t are real numbers and x ≠ 0, then k/p is equal to?

    Solutions

    Notice that the three quantities in brackets are non-negative. And sum of all non-negative quantities is zero only when each of that quantity is equal to zero individually.

    Which means,

    Now, the identity is:

     

  • Question 5/10
    1 / -0.33

    Solutions

     

  • Question 6/10
    1 / -0.33

    Solutions

     

  • Question 7/10
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    Solutions

     

  • Question 8/10
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    The roots of the equation 

    Solutions

    We have,

     

  • Question 9/10
    1 / -0.33

    A man riding a car completes on lap of a circular field along its circumference at the speeds of 14.4 km/h in 1 minutes 28 sec. then what will be the area of the field

    Solutions

     

  • Question 10/10
    1 / -0.33

    If the roots of the equation Ax2 + Bx + C = 0 are -1 and 1, then which one of the following is correct?

    Solutions

    Hence A and C are of opposite sign.

     

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