2024 May 21 EAPCET Engineering forenoon Practice Test

Test Description

This EAPCET Engineering Practice Test was a previous year EAPCET exam conducted on 2024 May 21th 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 Andhra Pradesh (AP) EAPCET exam in the year 2024.

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 Andhra Pradesh.

Test Instructions

The test contains 160 multiple-choice questions.
Total time for the test is 3hrs 00min.
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) The domain of the real valued function

f (x) = \log_{2} \log_{3} \log_{5} (x^{2} - 5 x + 11)

$(2, \infty)$
$(- \infty, 3)$
$(2, 3)$
$(- \infty, 2) \cup (3, \infty)$

(2 of 160) The range of the real valued function

f (x) = \frac{x^{2} + 2 x - 15}{2 x^{2} + 13 x + 15}

$ℝ - \{- 5, - \frac{3}{2}\}$
$ℝ - \{- 5,\frac{1}{2}\}$
$ℝ - \{\frac{1}{2}, \frac{8}{7}\}$
$ℝ - \{- \frac{3}{2}, \frac{8}{7}\}$

(3 of 160)

\frac{1}{1.5} + \frac{1}{5.9} + \frac{1}{9.13} + . . . . . . .

upto

n

terms =

$\frac{1}{4 n + 1}$
$\frac{4}{4 n + 1}$
$\frac{n}{4 n + 1}$
$\frac{4 n + 1}{5 (4 n + 1)}$

(4 of 160) If

A = [\begin{matrix} 2 & 3 & 4 \\ 1 & k & 2 \\ 4 & 1 & 5 \end{matrix}]

is singular matrix, then the quadratic equation having the roots k and

\frac{1}{k}

$6 x^{2} + 13 x + 6 = 0$
$12 x^{2} - 25 x + 12 = 0$
$6 x^{2} - 13 x + 6 = 0$
$2 x^{2} - 5 x + 2 = 0$

(5 of 160) Let

A

be a

4 \times 4

matrix and

P

be its adjoint matrix. If

|P| = |\frac{A}{2}|

, then

|A^{- 1}| =

$\pm \frac{1}{4}$
$\pm 8$
$\pm 2$
$\pm 4$

(6 of 160) The system

x + 2 y + 3 z = 4, 4 x + 5 y + 3 z = 5, 3 x + 4 y + 3 z = λ

is consistent and

3 λ = n + 100

, then

n =

(7 of 160) The complex conjugate of

(4 - 3 i) (2 + 3 i) (1 + 4 i)

$7 + 74 i$
$- 7 + 74 i$
$- 7 - 74 i$
$7 - 74 i$

(8 of 160) If the amplitude of

(Z - 2)

\frac{π}{2}

, then the locus of

Z

$x = 0, y > 0$
$x = 2, y > 0$
$x > 0, y = 2$
$x > 0, y = 0$

(9 of 160) If

ω

is the cube root of unity,

\frac{a + b ω + c ω^{2}}{c + a ω + b ω^{2}} + \frac{a + b ω + c ω^{2}}{b + c ω + a ω^{2}} =

2
-2
1
-1

(10 of 160) Roots of the equation

a (b - c) x^{2} + b (c - a) x + c (a - b) = 0

are

$\frac{a (b - c)}{c (a - b)}, 1$
$\frac{b (c - a)}{c (a - b)}, 1$
$\frac{c (a - b)}{a (b - c)}, 1$
$\frac{c (a - b)}{b (c - a)}, 1$

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Test Details

Duration

3hrs 00min

Questions

160 Multiple Choice Questions

Passing Score

N/A% or higher to pass

Attempts

Unlimited attempts allowed

Total Runs

100