Maths Practice Question and Answer

Q:

In a triangle, lengths of all the three medians are 9 cm, 12 cm. and 15 cm respectively. Then what will be the area of the triangle?

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  • 1
    54 $$cm^2$$
    Correct
    Wrong
  • 2
    60 $$cm^2$$
    Correct
    Wrong
  • 3
    36 $$cm^2$$
    Correct
    Wrong
  • 4
    72 $$cm^2$$
    Correct
    Wrong
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Answer : 4. "72 $$cm^2$$"

Q:

In ΔABC θ is an acute angle and tanθ is equal to three times of cotθ. Find the value of $$ {sin^{2}θ+cosec^{2}θ-{1\over 2}cot^{2}θ}$$.

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  • 1
    $$ {23\over 12}$$
    Correct
    Wrong
  • 2
    $$ {23\over 9}$$
    Correct
    Wrong
  • 3
    $$ {23\over 11}$$
    Correct
    Wrong
  • 4
    $$ {23\over 8}$$
    Correct
    Wrong
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Answer : 1. "$$ {23\over 12}$$"

Q:

Direction : Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. 

What will the area of a regular pentagon?
I. The length of each side is 12 cm.
II. The measure of each angle is 108 degrees.

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  • 1
    The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
    Correct
    Wrong
  • 2
    The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
    Correct
    Wrong
  • 3
    The data in statement I alone or in statement II alone is sufficient to answer the question.
    Correct
    Wrong
  • 4
    The data in both the statements I and II is not sufficient to answer the question.
    Correct
    Wrong
  • 5
    The data in both the statements I and II together is necessary to answer the question.
    Correct
    Wrong
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Answer : 1. "The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question."

Q:

∠A, ∠B, ∠C are three angles of a triangle. If ∠A -∠B =18°, ∠B – ∠C = 45°, then, ∠B, ∠A and ∠C are

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  • 1
    69° ,88° , 24°
    Correct
    Wrong
  • 2
    69°, 88°, 23°
    Correct
    Wrong
  • 3
    69°, 87°, 24°
    Correct
    Wrong
  • 4
    69°, 89°, 22°
    Correct
    Wrong
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Answer : 3. "69°, 87°, 24°"

Q:

Find the value of the given expression.

 $$\sqrt { 8+\sqrt { 1681} \ } \ $$

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

Q:

If a linear equation is of the form x = k, where k is a constant, then graph of the equation will be 

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  • 1
    a line making positive acute angle with x - axis
    Correct
    Wrong
  • 2
    a line parallel to y - axis
    Correct
    Wrong
  • 3
    a line parallel to x - axis
    Correct
    Wrong
  • 4
    a line cutting both the axes
    Correct
    Wrong
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Answer : 2. "a line parallel to y - axis "

Q:

The average of the three numbers is 60. The first number is one-fourth of the sum of the remaining two numbers, the first number is-

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  • 1
    30
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    42
    Correct
    Wrong
  • 4
    45
    Correct
    Wrong
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Answer : 2. "36"

Q:

In ΔPQR , ∠R=54° the perpendicular bisector of PQ at S meets QR at T. If ∠TPR =46°, then what value of (in degree) ∠PQR?

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  • 1
    25
    Correct
    Wrong
  • 2
    50
    Correct
    Wrong
  • 3
    75
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 4. "40"

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