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CDS II 2022 Mathematics Test - 5
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CDS II 2022 Mathematics Test - 5
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  • Question 1/10
    1 / -0.33

    In the given figure PQRS is a parallelogram with ∠PQR = 150o, APQ is an isosceles triangle and TS is a tangent at P. Find ∠APT?

    Solutions

    Since, PQRS is a parallelogram

     

  • Question 2/10
    1 / -0.33

    Solutions

     

  • Question 3/10
    1 / -0.33

    If x = 2 is a zero of the polynomials  then find the other two zero.

    Solutions

     

  • Question 4/10
    1 / -0.33

    A gun is fired at a distance of 6.64 km away from Ram. He hears the sound 20 seconds later. Then the speed of sound is

    Solutions

    Distance = 6.64 km = 6.64 × 1000 m = 6640 m

    Since, he hears the sound 20 seconds later.

    Therefore, required speed of the sound 

     

  • Question 5/10
    1 / -0.33

    A right circular cone whose diameter and slant height are 8 cm and 5 cm respectively has been cut axially. What is the ratio of area of axial cross section to that of semi-circular base?

    Solutions

     

  • Question 6/10
    1 / -0.33

    If p(x) is a polynomial of degree n and q(x) is a polynomial of degree m. Then which of the following is/are correct?

    Solutions

     

  • Question 7/10
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  • Question 8/10
    1 / -0.33

    Discriminant of a quadratic equation is found to be positive. Which of the following option is correct about the roots of equation?

    Solutions

    When discriminant is positive, roots are real and unequal.

     

  • Question 9/10
    1 / -0.33

    The number 703501230 is divisible by:

    Solutions

    Sum of the digits of 703501230 = 7 + 0 + 3 + 5 + 0 + 1 + 2 + 3 + 0 = 21 (divisible by 3)
    Hence, the given number is divisible by 3.

     

  • Question 10/10
    1 / -0.33

    A solid has 12 vertices and 30 edges. How many faces does it have?

    Solutions

    We know that F + V - E = 2

    Here F = number of faces, V = number of vertices and E = number of edges

    F + 12 - 30 = 2

    F = 2 + 18 = 20

    So required number of faces = 20

     

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