2025 May 3rd EAMCET Engineering forenoon Practice Test

Test Description

This EAMCET Engineering Practice Test was a previous year EAMCET exam conducted on 2025 May 3rd shift 1. 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

D⊆ R

and

f : D→ R

defined by

f (x) = \frac{x^{2} + x+a}{x^{2} - x+a}

is a surjection then 'a' lies in the interval

$R$
$(0, ∞)$
$(- ∞, 0)$
$(0, 1)$

(2 of 160) If the domain of the real valued function

f (x) = \frac{1}{\sqrt{\log_{\frac{1}{3}} (\frac{x - 1}{2 - x})}}

(a, b)

, then 2b=

a - 1
a
a + 1
a + 2

(3 of 160) If

\frac{1}{2.7} + \frac{1}{7.12} + \frac{1}{12.17} + \frac{1}{17.22} + . . .

to 10 terms = k, then k =

$\frac{2}{51}$
$\frac{5}{51}$
$\frac{5}{52}$
$\frac{1}{26}$

(4 of 160) If the system of simultaneous linear equations

x + λ y - 2 z = 1

x - y + λ z = 2

and

x - 2 y + 3 z = 3

is inconsistent for

λ = λ_{1}

and

λ_{2}

, then

λ_{1} + λ_{2} =

5
$\sqrt{5}$
1
-1

(5 of 160) The system of linear equations

(\sin θ) x + y - 2 z = 0

2 x - y + (\cos θ) z = 0

and

- 3 x + (\sec θ) y + 3 z = 0

, where

θ≠ (2n+1) \frac{π}{2}

, has non-trivial solution for

no value of $θ$
$θ=nπ+ \frac{π}{4}$ , $n∈z$
$θ = {Tan}^{-1} (\frac{3}{4})$
$θ = {Tan}^{-1} (\frac{4}{3})$

(6 of 160) If

A= [\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}]

, then

Adj (Adj (Adj A)) =

$A$
$A^{- 1}$
$|A| A^{- 1}$
$\frac{A^{- 1}}{|A|}$

(7 of 160) The sum of all the roots of the equation

|\begin{matrix} x & - 3 & 2 \\ - 1 & - 2 & (x - 1) \\ 1 & (x - 2) & 3 \end{matrix}| = 0

(8 of 160) One of the values of

\sqrt{24 - 70 i} + \sqrt{- 24 + 70 i}

2 + 12i
12 - 2i
-12 + 2i
-12 -2i

(9 of 160) The set of all values of

θ

such that

\frac{1-i cos θ}{1+2i sin θ}

is purely imaginary is

$\{n π + {(-1)}^{n} \frac{π}{4}, n∈z\}$
$\{\frac{n π}{2} + {(-1)}^{n} \frac{π}{4}, n∈z\}$
$\{n π + {(-1)}^{n} \frac{π}{2}, n∈z\}$
$\{2 n π \pm \frac{π}{4}, n∈z\}$

(10 of 160) If

cos α + cos β + cos γ = 0 = sin α + sin β + sin γ

, then

sin 2α + sin 2β + sin 2γ =

$cos (α+β) + cos (β+γ) + cos (γ+α)$
${cos}^{2} α + {cos}^{2} β + {cos}^{2} γ$
${sin}^{2} α + {sin}^{2} β + {sin}^{2} γ$
$cos (2α-β-γ) + cos (2β-γ-α) + cos (2γ-α-β)$

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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

Test Description

Test Instructions

Quick Test

Practice Tests

Test Details

Duration

Questions

Passing Score

Attempts

Total Runs

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