2025 May 2nd EAMCET Engineering Afternoon Practice Test

Test Description

This EAMCET Engineering Practice Test was a previous year EAMCET exam conducted on 2025 May 2nd shift 2. This test consists of 160 objective type questions from both Intermediate First Year and Intermediate Second Year Mathematics (80), Physics (40) and Chemistry (40). The questions are given in the same format as in the exam conducted by TELANGANA STATE (TS) EAMCET exam in the year 2025.

This test is completely free, and students can attempt as many times as needed and help students in preparing for EAMCET entrance tests and get admissions into various reputed colleges for Engineering in the state of Telangana.

Test Instructions

The test contains 160 multiple-choice questions.
Total time for the test is 3h 00m.
Each question carries equal marks.
There is no negative marking for wrong answers.
Use of calculator is not allowed.
Do not refresh the page during the test.
Make sure you have a stable internet connection.

Quick Test

(1 of 160) If

f : R - \{0\} \to R

is defined by

3 f (x) + 4 f (\frac{1}{x}) = \frac{2 - x}{x}

then

f (3) =

(2 of 160) The inverse of the function

y = \frac{10^{x} - 10^{- x}}{10^{x} + 10^{- x}} + 1

is X=

$\log (\frac{y}{2 - y})$
$\log_{10} (\frac{y}{2 - y})$
$\frac{1}{10} \log (\frac{y}{1 - y})$
$\frac{1}{2} \log_{10} (\frac{y}{2 - y})$

(3 of 160) The value of the greatest positive integer k, such that

49^{k} + 1

is a factor of

48 (49^{125} + 49^{124} + . . . + 49^{2} + 49 + 1)

(4 of 160) If

|\begin{matrix} 1 & 2 & 3 - λ \\ 0 & - 1 - λ & 2 \\ 1 - λ & 1 & 3 \end{matrix}| = A λ^{3} + B λ^{2} + C λ + D

, then D+A=

1
-4
-5
3

(5 of 160) If

A + 2 B = [\begin{matrix} 1 & 2 & 0 \\ 6 & - 3 & 3 \\ - 5 & 3 & 1 \end{matrix}]

and

2 A - B = [\begin{matrix} 2 & - 1 & 5 \\ 2 & - 1 & 6 \\ 0 & 1 & 2 \end{matrix}]

then tr(A)-tr(B)=

(6 of 160) A, C are

3 \times 3

matrices, B, D are

3 \times 1

matrices. If AX=B has unique solution and CX=D has infinte number of solutions, then

rank of [A : D]= rank of [C : B]
rank of A = rank of C
rank of [A : B] < rank of [B : D]
rank of [A : D] $\geq$ rank of [C : B]

(7 of 160) A and B are two non square matrices. If P=A+B,

Q = A^{T} B

R = {AB}^{T}

, then the matrices whose order is equal to the order of A are

PQ and QR
RQ and QP
PQ and RP
PQR and RPQ

(8 of 160)

ω

is a complex cube root of unity and Z is a complex number satisfying

|Z - 1| \leq 2

. The possible values of r such that

|Z - 1| \leq 2

and

|ω Z - 1 - ω^{2}| = r

have no common solution are

$0 \leq r \leq 4$
$r = |ω|$ only
r > 4
1 < r <2

(9 of 160) If

|Z| = 2, Z_{1} = \frac{Z}{2} e^{i α}

and

θ

is the amp (Z), then

\frac{Z_{1}^{n} - Z_{1}^{- n}}{Z_{1}^{n} + Z_{1}^{- n}} =

$2^{n} i t a n (n θ + n α)$
$i t a n (n θ - n α)$
$i t a n (n θ + n α)$
$t a n (n θ + n α)$

(10 of 160) If n,

K \in N

such that

n \neq 3 K

, then

{(\sqrt{3} + i)}^{2 n} + {(\sqrt{3} - i)}^{2 n} =

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

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Test Details

Duration

3h 00m

Questions

160 Multiple Choice Questions

Passing Score

N/A% or higher to pass

Attempts

Unlimited attempts allowed

Total Runs

100