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  • Question 1
    1 / -0

    Two coins are tossed simultaneously 300 times. Either one or two heads are obtained 198 times. The probability of getting no head is

    Solution

    Explanation:

    Number of times two coins are tossed simultaneously = 300

    Number of times either one or two heads are obtained = 198

    Number of times no heads are obtained = 300 - 198 = 102

    The probability of getting no head = 102 / 300 = 0.34

     

  • Question 2
    1 / -0

    In an examination, ten students scored the following marks: 60, 58, 90, 51, 47, 81, 70, 95, 87, 99. The range of this data is

    Solution

    Explanation:

    Difference between the maximum & minimum value of the observation is called as range.

    So, 99-47=52

     

  • Question 3
    1 / -0

    The minimum value of a data is 82 and range is 38, then the maximum value is

    Solution

    Explanation:

    Difference between the maximum & minimum value of the observation is called as range.

    Let maximum value be xx

    So,

    x−82=38x−82=38

    x=82+38x=82+38

    x=120

     

  • Question 4
    1 / -0

    The length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 high is

    Solution

    Explanation:

    Diagonal of cuboid 

    = √ ( L2 + B2 + C2 )

    = √ ( 122 + 92 + 82 )

    = √ 289

    = 17 m

    Thus, longest rod that could be placed would be along diagonal.i.e 17 m

     

  • Question 5
    1 / -0

    A rectangular pit of dimensions 30m × 15m × 12m  is dug and the earth taken out is disposed off in a carrier which can carry a maximum load of 3540m3 of earth. The least number of rounds the carrier had to make to dispose off the earth dug out is

    Solution

    Explanation:

    Volume of pit = 30×15×12=5400 m

    Number of round =  Volume of pit ÷ volume of carrier

    = 5400 ÷ 540 = 10

     

  • Question 6
    1 / -0

    If one angle of a triangle is equal to the sum of the other two angles, then the triangle is :

    Solution

    Explanation:

    The sum of the angles of triangle  is 180 degrees.

    let the angles of triangle be a ,  b, c

    we have given that one angle of a triangle is equal to the sum of the other two angles

    so we have

    c=a + b

    a + b + c = 180

    Substitute c for a +b

    c + c = 180

    2c = 180

    c = 90

    therefore the triangle is a right triangle.

     

  • Question 7
    1 / -0

    The point A(3, 4) lies in

    Solution

    Explanation:

    In 1st quadrant sign of both coordinates is positive i.e, (+,+)

    So ,(3,4) will lie in quadrant 1

     

  • Question 8
    1 / -0

    Which of the following is an irrational number?

    Solution

    Explanation:

    an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal)

     

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