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Mathematics
List of top Mathematics Questions asked in AP POLYCET
If the points
(
a
,
0
)
,
(
0
,
b
)
(a,0),(0,b)
(
a
,
0
)
,
(
0
,
b
)
and
(
1
,
1
)
(1,1)
(
1
,
1
)
are collinear, then
1
a
+
1
b
=
\frac{1}{a}+\frac{1}{b} =
a
1
+
b
1
=
AP POLYCET - 2023
AP POLYCET
Mathematics
Collinearity of points
If four vertices of a parallelogram are (-3,-1),(a,b),(3,3) and (4,3) taken in order,then the ratio of a and b is
AP POLYCET - 2023
AP POLYCET
Mathematics
Area Of A Parallelogram
The X-axis divides the line joining the points A(2,-3) and B(5,6) in the ratio of
AP POLYCET - 2023
AP POLYCET
Mathematics
Lines and Angles
The points A(-5,0), B(5,0) and C(0,4) are the vertices of which triangle?
AP POLYCET - 2023
AP POLYCET
Mathematics
Triangles
If the geometric progressions 162, 54, 18, ..... and
2
81
,
2
27
,
2
9
\frac{2}{81},\frac{2}{27},\frac{2}{9}
81
2
,
27
2
,
9
2
,…have their nth term equal, then the value of n is
AP POLYCET - 2023
AP POLYCET
Mathematics
geometric progression
Which term of the geometric progression
2
,
2
2
,
4
,
…
.
.
2,2\sqrt{2},4,…..
2
,
2
2
,
4
,
…
..
is
128
?
128?
128
?
AP POLYCET - 2023
AP POLYCET
Mathematics
geometric progression
In an arithmetic progression, 25th term is 70 more than the 15th term, then the common difference is
AP POLYCET - 2023
AP POLYCET
Mathematics
Arithmetic Progressions
If the numbers n – 3, 4n – 2 and 5n + 1 are in arithmetic progression, then the value of n is
AP POLYCET - 2023
AP POLYCET
Mathematics
Arithmetic Progressions
If the sum and product of the roots of the quadratic equation
k
x
2
+
6
x
+
4
k
=
0
kx^2+6x+4k=0
k
x
2
+
6
x
+
4
k
=
0
are equal, then the value of k is
AP POLYCET - 2023
AP POLYCET
Mathematics
Quadratic Equations
If one root of the quadratic equation
a
(
b
−
c
)
x
2
+
b
(
c
−
a
)
x
+
c
(
a
−
b
)
=
0
a(b-c)x^2+b(c-a)x+c(a-b)=0
a
(
b
−
c
)
x
2
+
b
(
c
−
a
)
x
+
c
(
a
−
b
)
=
0
is 1, then the other root is
AP POLYCET - 2023
AP POLYCET
Mathematics
Quadratic Equations
Which of the following is not a quadratic equation?
AP POLYCET - 2023
AP POLYCET
Mathematics
Quadratic Equations
In a competitive examination, 1 mark is awarded for each correct answer while
1
2
\frac{1}{2}
2
1
mark is deducted for each wrong answer. If a student answered 120 questions and got 90 marks, then the number of questions that the student answered correctly is
AP POLYCET - 2023
AP POLYCET
Mathematics
Probability
The pair of linear equations
x
+
2
y
−
5
=
0
x+2y-5=0
x
+
2
y
−
5
=
0
and
3
x
+
12
y
−
10
=
0
3x+12y-10=0
3
x
+
12
y
−
10
=
0
has
AP POLYCET - 2023
AP POLYCET
Mathematics
Linear Equations
The number of zeroes of the polynomial shown in the graph is
AP POLYCET - 2023
AP POLYCET
Mathematics
Polynomials
If α , β and γ are the zeroes of the cubic polynomial
2
x
3
+
x
2
−
13
x
+
6
2x^3+x^2-13x+6
2
x
3
+
x
2
−
13
x
+
6
, then the value of
α
β
γ
αβγ
α
β
γ
is
AP POLYCET - 2023
AP POLYCET
Mathematics
Factorisation of Polynomials
If x – 2 is a factor of the polynomial
x
3
−
6
x
2
+
a
x
−
8
,
x^3-6x^2+ax-8,
x
3
−
6
x
2
+
a
x
−
8
,
, then the value of a is
AP POLYCET - 2023
AP POLYCET
Mathematics
Factorisation of Polynomials
If the sum and product of the zeroes of a quadratic polynomial are 3 and –10 respectively, then the polynomial is
AP POLYCET - 2023
AP POLYCET
Mathematics
Factorisation of Polynomials
If A and B are disjoint sets and
n
(
A
)
=
4
n(A)=4
n
(
A
)
=
4
,
n
(
A
∪
B
)
=
7
n(A∪B)=7
n
(
A
∪
B
)
=
7
, then the value of
n
(
B
)
n(B)
n
(
B
)
is
AP POLYCET - 2023
AP POLYCET
Mathematics
Operations on Sets
If
P
=
{
3
m
:
m
∈
N
}
P = \{3m : m \in \mathbb{N}\}
P
=
{
3
m
:
m
∈
N
}
and
Q
=
{
3
m
:
m
∈
N
}
Q = \{3m : m \in \mathbb{N}\}
Q
=
{
3
m
:
m
∈
N
}
are two sets, then
AP POLYCET - 2023
AP POLYCET
Mathematics
sets
Which of the following collections is not a set?
AP POLYCET - 2023
AP POLYCET
Mathematics
Natural Number
The value of
1
log
3
60
+
1
log
4
60
+
1
log
5
60
\frac{1}{\log_3{60}} + \frac{1}{\log_4{60}} + \frac{1}{\log_5{60}}
l
o
g
3
60
1
+
l
o
g
4
60
1
+
l
o
g
5
60
1
is
AP POLYCET - 2023
AP POLYCET
Mathematics
Exponential and Logarithmic Functions
If the LCM of 12 and 42 is 10m + 4, then the value of m is
AP POLYCET - 2023
AP POLYCET
Mathematics
Some Problems on HCF and LCM
For any natural number n,
9
n
9^n
9
n
cannot end with which one of the following digits?
AP POLYCET - 2023
AP POLYCET
Mathematics
Natural Number
The sum of the exponents of the prime factors in the prime factorization of 156 is
AP POLYCET - 2023
AP POLYCET
Mathematics
Laws of Exponents for Real Numbers
After how many decimal places, the decimal expansion of the rational number
25
2
2
×
5
\frac{25}{2^2\times 5}
2
2
×
5
25
will terminate?
AP POLYCET - 2023
AP POLYCET
Mathematics
Operations On Rational Numbers
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