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Published on: 29/10/2025
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Take MCQ Mathematics Test
1.
The graph of y=6 is a line:
parallel to x-axis at a distance 6 units from the origin
parallel to y-axis at a distance 6 units from the origin
passing through the point (6,0)
passing through the origin
2.
Equation of line which is at 5 units distance above the x-axis is:
x=5
x+5=y
y=5
x-y=0
3.
x=4 is a line:
parallel to y=-4
parallel to x-axis
passing through origin
parallel to x=-4
4.
The graph of 0.x+3y=6 is parallel to:
5.
The graph of the line y=m is parallel to:
x-axis
y-axis
both axes
passes through origin
6.
Where does the line 2x+3y=6 cut x-axis?
at(3,0)
at (0,3)
at (0,0)
at(3,3)
7.
The point of intersection of the lines represented by the equations 3x=2y+1 and 2x=3y-1 is:
(2,3)
(3,2)
(1,1)
(0,0)
8.
Any point on the line y=x is of the form:
(a,a)
(0,a)
(a, 0)
(a, -a)
9.
The equation of the line, whose graph passes through the origin is:
2x+3y=1
2x+3y=0
2x+3y=6
None of these
10.
Which one of the following graphs represents the graph of x + y = 0?
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11.
The numerator of a fraction is 1 less than the denominator.Write a linear equation in two variables to represent the statement.
x=y-1
x+y=0
x=y
x+y+1=0
12.
The salary of Dr.Harikisham is thrice the salary of Manish Goyal.Write a linear equation in two variables to represent the statement.
x=3
x+3y=0
x=3y+3
x=y+3
13.
which of the following is a linear equation?
x2+4x-3=-(x2-1)
x2=3x+4
x+\(1\over x\)=5
(x-1)=1-x
14.
The equation y=3 in two variables can be written as:
1.x+1.y=3
0.x+1.y=3
0.x+0.y=3
1.x+0.y=3
15.
Which of the following points lies on the negative side of x - axis?
(-4,0)
(3,2)
(0,-4)
(5,-7)
16.
In which quadrant does the point (-1,-1) lie?
I
II
III
IV
17.
Where do the four quadrants meet?
at O
in x - axis
in y axis
do not meet
18.
The line of intersection of III and IV quadrants is
y - axis
x - axis
horizontal axis
None of these
19.
If x and y, both are positive, then the point (x,y) lies in
I quadrant
II quadrant
III quadrant
IV quadrant
20.
Which of the following is an example of a geometrical line?
Black Board
Sheet of paper
Meeting place of two walls
Tip of the sharp pencil
21.
If \(x^{\frac{1}{3}}+y^{\frac{1}{3}}+z^{\frac{1}{3}}=0\) then which one of the following expressions is correct?
\(x^3+y^3+z^3=0\)
\(x+y+z=3x^{\frac{1}{3}}+y^{\frac{1}{3}}+z^{\frac{1}{3}}\)
\(x+y+z=3xyz\)
\(x^3+y^3+z^3=3xyz\)
22.
For what value of a, is the polynomial \(x^3+2x^2-3ax-8\) divisible by x-4?
\(\frac{22}{3}\)
\(\frac{11}{3}\)
11
3
23.
In which of the following (x+2) is a factor?
\(4x^3-13x+6\)
\(x^3+x^2+x+4\)
\(4x^3+13x-25\)
\(-2x^3+x^2-x-19\)
24.
The value of the polynomial \(x^2-x-1\) at x=-1 is:
-3
1
-1
0
25.
Zero of the polynomial p(x) = cx + d is:
-d
-c
\(\frac{d}{c}\)
\(-\frac{d}{c}\)
26.
The degree of the polynomial \(2-y^2-y^3+2y^7\) is:
2
7
0
3
27.
A cubic polynomial is a polynomial with degree:
1
3
0
2
28.
\(\sqrt{2}\) is an example of:
2
0
1
\(\frac{1}{2}\)
29.
Which of the following is a trinomial in x?
\(x^3+1\)
\(x^3+x^2+x\)
\(x\sqrt{x}-\sqrt {x}+1\)
\(x^3+2x\)
30.
Which of the following is a polynomial?
In (a), negative power of x; in (b) and (c), fractional powers of x
\(x^2+x+\frac{3}{x^2}\)
\(\sqrt{x}+5\)
\(x^{3/4}-7x+4\)
\(\frac{3}{2}x^3-\frac{4}{3}x^2+2x-1\)
31.
The simplified form of \(\frac { { 13 }^{ \frac { 1 }{ 5 } } }{ { 13 }^{ \frac { 1 }{ 3 } } } \) is
\({ 13 }^{ \frac { 2 }{ 15 } }\)
\({ 13 }^{ \frac { 8 }{ 15 } }\)
\({ 13 }^{ \frac { 1 }{ 3 } }\)
\({ 13 }^{ \frac { 2 }{ 15 } }\)
32.
The value of \(\sqrt { \left( { 3 }^{ -2 } \right) } \)
1/9
9
-3
1/3
33.
The value of \({ \left( 243 \right) }^{ \frac { 1 }{ 3 } }\) is equal to:
5
3
6
1
34.
If a = 2 and b = 3, then the value of ba is
4
9
2
3
35.
Rationalization of the denominator of \(\frac { 1 }{ \sqrt { 5 } +\sqrt { 2 } } \) gives:
\(\frac { 1 }{ \sqrt { 10 } } \)
\(\sqrt { 5 } +\sqrt { 2 } \)
\(\sqrt { 5 } -\sqrt { 2 } \)
\(\frac { \left( \sqrt { 5 } -\sqrt { 2 } \right) }{ 3 } \)
36.
\(\left( a+\sqrt { b } \right) \left( a-\sqrt { b } \right) \) is equal to:
\({ b }^{ 2 }-{ a }^{ 2 }\)
\({ a }^{ 2 }-{ b }^{ 2 }\)
\({ a }^{ 2 }-b\)
\({ b }^{ 2 }-a\)
37.
The sum of \(0.\overline { 3 } \) and \(0.\overline { 2 } \)
\(\frac { 5 }{ 99 } \)
\(\frac { 5 }{ 9 } \)
\(\frac { 5 }{ 10 } \)
\(\frac { 5 }{ 100 } \)
38.
\(5.3\overline { 7 } \) lies most accurately
between 5.37 and 5.38
between 5.3 and 5.4
between 5.377 and 3.378
between 5.3777 and 5.3778
39.
Which of the following is a rational number?
\(\sqrt { 5 } \)
\(\pi \)
0.101 001 0001 00001...
0.853 853 853....
40.
A rational number lying between \(\sqrt { 2 } \) and \(\sqrt { 3 } \) is:
\(\frac { \sqrt { 2 } +\sqrt { 3 } }{ 2 } \)
\(\sqrt { 6 } \)
1.6
1.9
1.
Equation of x-axis is y=0
2.
Equation of x-axis is y=0
3.
x=4 and x=-4 both are parallel to y-axis
4.
Equation of x-axis is y=0
5.
Equation of x-axis is y=0
6.
Put y=0 2x+3(0)=6
⇒ x=3
7.
(1, 1) satisfies 3x=2y+1 and 2x=3y-1 both
8.
(a,a) satisfies y=x
9.
(0,0) satisfies 2x+3y=0
10.
(-1,1) satisfies y=x+y=0
11.
(a)
x=y-1
12.
(a)
x=3
13.
x-1=1-x ⇒ x=1 so a linear equation
14.
Evident
15.
(a)
(-4,0)
16.
(c)
III
17.
(a)
at O
18.
(a)
y - axis
19.
(a)
I quadrant
20.
(c)
Meeting place of two walls
21.
If a+b+c=0 then \(a^3+b^3+c^3=3abc\)
22.
\(f(x)=x^3+2x^2-3ax-8\)
\(\Rightarrow \ f(4)=0\)
\(\Rightarrow \ 4^3+2 (4)^2-3a(4)-8=0\)
\(\Rightarrow \ 64+32-12a-8=0\)
\(\Rightarrow \ 12a=88\)
\(\Rightarrow \ a=\frac{22}{3}\)
23.
Use factor theorem
24.
Value\(=(-1)^2-(-1)-1=1\)
25.
\(cx+d=0\ \Rightarrow\ x=-\frac{d}{c}\)
26.
Highest power of y=7
27.
Definition of cubic polynomial
28.
\(\sqrt{2}\) is a constant polynomial
29.
\(x^3+x^2+x\) has three terms
30.
(d)
\(\frac{3}{2}x^3-\frac{4}{3}x^2+2x-1\)
31.
(d)
\({ 13 }^{ \frac { 2 }{ 15 } }\)
32.
(d)
1/3
33.
(b)
3
34.
(b)
9
35.
(d)
\(\frac { \left( \sqrt { 5 } -\sqrt { 2 } \right) }{ 3 } \)
36.
(c)
\({ a }^{ 2 }-b\)
37.
(b)
\(\frac { 5 }{ 9 } \)
38.
(d)
between 5.3777 and 5.3778
39.
(d)
0.853 853 853....
40.
(c)
1.6
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