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Previous year question hub

Binomial Theorem - Algebra PYQ | AP EAPCET

Practice Binomial Theorem PYQ from AP EAPCET: 20 papers, 3 years, 42 multiple-choice questions for algebra exam practice and mock test.

20Papers
3Years
42Questions
1Topics

Binomial Theorem question pattern

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Questions by year

Year-wise coverage for Binomial Theorem. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 42 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 42 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
42 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
42 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Binomial Theorem
42 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

AP EAPCET 2025 27TH MAY MORNING SHIFT
4 Qs
AP EAPCET 2025 21ST MAY EVENING SHIFT
3 Qs
AP EAPCET 2025 23RD MAY EVENING SHIFT
3 Qs
AP EAPCET 2025 21ST MAY MORNING SHIFT
2 Qs
AP EAPCET 2025 22ND MAY EVENING SHIFT
2 Qs
AP EAPCET 2025 22ND MAY MORNING SHIFT
2 Qs
AP EAPCET 2025 23RD MAY MORNING SHIFT
2 Qs
AP EAPCET 2025 24TH MAY MORNING SHIFT
2 Qs
AP EAPCET 2025 26TH MAY EVENING SHIFT
2 Qs
AP EAPCET 2025 26TH MAY MORNING SHIFT
2 Qs
AP EAPCET 2024 18TH MAY MORNING SHIFT
3 Qs
AP EAPCET 2024 22TH MAY EVENING SHIFT
3 Qs
AP EAPCET 2024 20TH MAY EVENING SHIFT
2 Qs
AP EAPCET 2024 21TH MAY MORNING SHIFT
2 Qs
AP EAPCET 2024 22TH MAY MORNING SHIFT
2 Qs
AP EAPCET 2024 23TH MAY MORNING SHIFT
2 Qs
AP EAPCET 2024 19TH MAY EVENING SHIFT
1 Qs
AP EAPCET 2024 20TH MAY MORNING SHIFT
1 Qs
AP EAPCET 2024 21TH MAY EVENING SHIFT
1 Qs
AP EAPCET 2022 4TH JULY EVENING SHIFT
1 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
AP EAPCET 2025 21ST MAY EVENING SHIFT20253View paper
AP EAPCET 2025 21ST MAY MORNING SHIFT20252View paper
AP EAPCET 2025 22ND MAY EVENING SHIFT20252View paper
AP EAPCET 2025 22ND MAY MORNING SHIFT20252View paper
AP EAPCET 2025 23RD MAY EVENING SHIFT20253View paper
AP EAPCET 2025 23RD MAY MORNING SHIFT20252View paper
AP EAPCET 2025 24TH MAY MORNING SHIFT20252View paper
AP EAPCET 2025 26TH MAY EVENING SHIFT20252View paper
AP EAPCET 2025 26TH MAY MORNING SHIFT20252View paper
AP EAPCET 2025 27TH MAY MORNING SHIFT20254View paper
AP EAPCET 2024 18TH MAY MORNING SHIFT20243View paper
AP EAPCET 2024 19TH MAY EVENING SHIFT20241View paper
AP EAPCET 2024 20TH MAY EVENING SHIFT20242View paper
AP EAPCET 2024 20TH MAY MORNING SHIFT20241View paper
AP EAPCET 2024 21TH MAY EVENING SHIFT20241View paper
AP EAPCET 2024 21TH MAY MORNING SHIFT20242View paper
AP EAPCET 2024 22TH MAY EVENING SHIFT20243View paper
AP EAPCET 2024 22TH MAY MORNING SHIFT20242View paper
AP EAPCET 2024 23TH MAY MORNING SHIFT20242View paper
AP EAPCET 2022 4TH JULY EVENING SHIFT20221View paper

All Binomial Theorem previous year questions

Practice every matching question in batches of 20, with every available option.

1
2022 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2022 4TH JULY EVENING SHIFT

The least value of \(n\) so that \({ }^{(n-1)} C_3+{ }^{(n-1)} C_4>{ }^n C_3\)

A
11
B
9
C
8
D
7
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2
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 18TH MAY MORNING SHIFT
The square root of independent term in the expansion of $ \left( 2x^2 + \frac{5}{x} \right)^5 $ is
A
$\frac{15}{\sqrt{10}}$
B
$\frac{10}{\sqrt{15}}$
C
$\frac{30}{\sqrt{5}}$
D
$\frac{20}{\sqrt{5}}$
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3
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 18TH MAY MORNING SHIFT
The coefficient of $x^5$ in $\left(3+x+x^2\right)^6$ is
A
18
B
540
C
0
D
2178
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4
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 18TH MAY MORNING SHIFT
The absolute value of the difference of the coefficients of $x^4$ and $x^6$ in the expansion of $x^2 - 2x^2 + (x + 1)^4(x^2 - 1)^2$, is
A
13
B
4
C
9
D
1
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5
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 19TH MAY EVENING SHIFT
Numerically greatest term in the expansion of $(5+3 x)^6$ When, $x=1$, is
A
$3^5 \times 5^3$
B
$3^3 \times 5^5$
C
$3^2 \times 5^5$
D
$3^4 \times 5^4$
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6
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 20TH MAY EVENING SHIFT
If the coefficients of $x^5$ and $x^6$ are equal in the expansion of $\left(a+\frac{x}{5}\right)^{65}$, then the coefficient of $x^2$ in the expansion of $\left(a+\frac{x}{5}\right)^4$ is.
A
1
B
$\frac{32}{25}$
C
2
D
$\frac{24}{25}$
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7
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 20TH MAY EVENING SHIFT
If $|x|<\frac{2}{3}$, then the 4th term in the expansion of $(3 x-2)^{\frac{2}{3}}$ is :
A
$\frac{\sqrt[3]{4}}{6} x^3$
B
$-\frac{\sqrt[3]{4}}{6} x^3$
C
$\frac{\sqrt[3]{4}}{8} x^3$
D
$-\frac{\sqrt[3]{4}}{8} x^3$
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8
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 20TH MAY MORNING SHIFT
The coefficient of $x^5$ in the expansion of $\left(2 x^3-\frac{1}{3 x^2}\right)^5$ is
A
8
B
9
C
$\frac{80}{9}$
D
$\frac{29}{3}$
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9
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 21TH MAY EVENING SHIFT
If the ratio of the terms equidistant from the middle term in the expansion of $(l+x)^{12}$ is $\frac{1}{256}(x \in N)$, then sum of all the terms of the expansion $(1+x)^{12}$ is
A
$4^{12}$ or $6^{12}$
B
$3^{12}$ or $5^{12}$
C
$6^{12}$ or $7^{12}$
D
$12^{12}$
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10
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 21TH MAY MORNING SHIFT
The sum of the rational terms in the binomial expansion of $\left(\sqrt{2}+3^{1 / 5}\right)^{10}$ is
A
41
B
39
C
32
D
30
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11
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 21TH MAY MORNING SHIFT
If the eleventh term in the binomial expansion of $(x+a)^{15}$ is the geometric mean of the eighth and twelfth terms, then the greatest term in the expansion is
A
7 th term
B
8 th term
C
9 th term
D
10 th term
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12
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 22TH MAY EVENING SHIFT
If $P$ is the greatest divisor of $49^n+16 n-1$ for all $n \in N$, then the number of factors of $P$ is
A
12
B
15
C
7
D
13
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13
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 22TH MAY EVENING SHIFT

If the coefficients of $r$ th, $(r+1)$ th and $(r+2)$ th terms in the expansion of $(1+x)^n$ are in the ratio of $4: 15: 42$, then $n-r$ is equal to

A
18
B
15
C
14
D
17
Open complete paper
14
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 22TH MAY EVENING SHIFT

If the coefficients of $(2 r+6)$ th and $(r-1)$ th terms in the expansion of $(1+x)^{21}$ are equal, then the value of $r$ is equal to

A
7
B
5
C
6
D
8
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15
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 22TH MAY MORNING SHIFT
If the $2 \mathrm{nd}, 3 \mathrm{rd}$ and 4 th terms in the expansion of $(x+a)^n$ are $96,216,216$ respectively and $n$ is a positive integer, then $a+x=$
A
$n+1$
B
$n$
C
$n-1$
D
$\frac{n}{2}$
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16
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 22TH MAY MORNING SHIFT
If $|x|<1$, then the number of terms in the expansion of $\left[\frac{1}{2}\left(1 \cdot 2+2 \cdot 3 x+3 \cdot 4 x^2+\ldots . \infty\right)\right]^{-25}$
A
Infinite
B
101
C
76
D
51
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17
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 23TH MAY MORNING SHIFT
For $|x|<\frac{1}{\sqrt{2}}$, the coefficient of $x$ in the expansion of $\frac{(1-4 x)^2\left(1-2 x^2\right)^{1 / 2}}{(4-x)^{3 / 2}}$ is
A
$\frac{61}{64}$
B
$-\frac{61}{64}$
C
$\frac{69}{64}$
D
$-\frac{69}{64}$
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18
2024 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2024 23TH MAY MORNING SHIFT
The independent term in the expansion of $\left(1+x+2 x^2\right)\left(\frac{3 x^2}{2}-\frac{1}{3 x}\right)^9$ is
A
$\frac{18}{7}$
B
$\frac{7}{18}$
C
$-\frac{7}{18}$
D
$-\frac{18}{7}$
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19
2025 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2025 21ST MAY MORNING SHIFT

If $(1+x)^n=\sum_{r=0}^n C, x^r$, then the value of $C_0+\left(C_0+C_1\right)+\left(C_0+C_1+C_2\right)+\ldots+ \left(C_0+C_1+C_2+\ldots+C_n\right)$ is

A

$n R^{n-1}$

B

$2^n+n$

C

$(n+2) 2^n$

D

$(n+2) 2^{n-1}$

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20
2025 · Mathematics · Algebra · Binomial Theorem
AP EAPCET 2025 21ST MAY MORNING SHIFT

If $x$ is so large that terms containing $x^{-3}, x^{-4}, x^{-5}, \ldots$ can be neglected, then the approximate value of $\left(\frac{3 x-5}{4 x^2+3}\right)^{-1 / 5}$ is

A

$\left(\frac{3}{4 x}\right)^{4 / 5}\left(1-\frac{4}{3 x}-\frac{7}{5 x^2}\right)$

B

$\left(\frac{4 x}{3}\right)^{4 / 5}\left(1+\frac{4}{3 x}+\frac{13}{5 x^2}\right)$

C

$\left(\frac{4 x}{3}\right)^{4 / 5}\left(1+\frac{4}{3 x}-\frac{13}{5 x^2}\right)$

D

$\left(\frac{3}{4 x}\right)^{4 / 5}\left(1-\frac{4}{3 x}+\frac{7}{5 x^2}\right)$

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Showing 20 of 42 questions