Maths Practice Question and Answer

Q:

A right triangle with sides 5 cm, 12 cm and   13 cm is rotated about the side 12 cm to from a cone. The volume of the cone so formed is :

1670 0

  • 1
    $$ {81 π \ cm^{3}}$$
    Correct
    Wrong
  • 2
    $$ {100 π \ cm^{3}}$$
    Correct
    Wrong
  • 3
    $$ {91 π \ cm^{3}}$$
    Correct
    Wrong
  • 4
    $$ {110 π \ cm^{3}}$$
    Correct
    Wrong
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Answer : 2. "$$ {100 π \ cm^{3}}$$"

Q:

ΔABC is an equilateral triangle in which D, E and F are the points on sides BC, AC and AB, respectively, such that AD ⊥ BC, BE ⊥ AC and CF ⊥ AB. Which of the following is true?

1670 1

  • 1
    $$ {4 AC^{2}=5{BE}^{2}}$$
    Correct
    Wrong
  • 2
    $$ {3 AC^{2}=4{BE}^{2}}$$
    Correct
    Wrong
  • 3
    $$ {2 AB^{2}=3{AD}^{2}}$$
    Correct
    Wrong
  • 4
    $$ {7 AB^{2}=9{AD}^{2}}$$
    Correct
    Wrong
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Answer : 2. "$$ {3 AC^{2}=4{BE}^{2}}$$"

Q:

Directions: The bar graph given below shows the spending of family income on various items and savings during 1993. Observe the graph and answer the following questions:

The percent of income spent on food is: 

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  • 1
    5 %
    Correct
    Wrong
  • 2
    10 %
    Correct
    Wrong
  • 3
    12.5 %
    Correct
    Wrong
  • 4
    20 %
    Correct
    Wrong
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Answer : 4. "20 % "

Q:

The length of the portion of the straight line 3x + 4y = 12 intercepted between the axes is : 

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  • 1
    4
    Correct
    Wrong
  • 2
    7
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 3. "5 "

Q:

Find the value of the given expression.

 $$\sqrt { 8+\sqrt { 1681} \ } \ $$

1669 0

  • 1
    5
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    7
    Correct
    Wrong
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Answer : 4. "7"

Q:

The graphs of x = a and y = b intersect at 

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  • 1
    (-a, b)
    Correct
    Wrong
  • 2
    (b, a)
    Correct
    Wrong
  • 3
    ( a, b )
    Correct
    Wrong
  • 4
    (a, -b)
    Correct
    Wrong
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Answer : 3. "( a, b ) "

Q:

The angles of elevation of the top of a tower as observed from the bottom and top of a building of height 80 metre are 60° and 45° respectively. The distance of the base of the tower from the base of the building is:-

1668 0

  • 1
    $$ 40 {(\sqrt{3}-1)}\ metre $$
    Correct
    Wrong
  • 2
    $$ 40 {(3+\sqrt{3})}\ metre $$
    Correct
    Wrong
  • 3
    $$ 40 {(3-\sqrt{3})}\ metre $$
    Correct
    Wrong
  • 4
    $$ 40({\sqrt{3}}+1)\ meter$$
    Correct
    Wrong
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Answer : 4. "$$ 40({\sqrt{3}}+1)\ meter$$"

Q:

A mathematics teacher calculated the total marks obtained by 35 students of 8th class . The average marks of the students were 72. But 36 marks for Reena was calculated in place of 86 obtained by her. What was the correct average of all the students? 

1668 0

  • 1
    73.41
    Correct
    Wrong
  • 2
    74.31
    Correct
    Wrong
  • 3
    72.43
    Correct
    Wrong
  • 4
    73.42
    Correct
    Wrong
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Answer : 4. "73.42 "

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