2024 May 20 EAPCET Engineering forenoon Practice Test

Test Description

This EAPCET Engineering Practice Test was a previous year EAPCET exam conducted on 2024 May 20th 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 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) Let

f (x) = 3 + 2 x

and

g_{n} (x) = (f 0 f 0 f 0 . . . . . . . . n t i m e s) (x)

$\forall n \in N$ if all the lines $y = g_{n} (x)$ pass through a fixed point $(α, β)$ , then $α + β =$

-5
-4
-3
-6

(2 of 160) Let

a > 1

and

0 < b < 1

. If

f : ℝ \to [0, 1]

is defined by

f (x) = \{\begin{array}{l} a^{x}, - \infty < x < 0 \\ b^{x}, 0 \leq x < \infty \end{array},

then

f (x)

A bijection
One-one but not onto
Onto but not one-one
Neither one-one nor onto

(3 of 160)

\frac{1}{3.7} + \frac{1}{7.11} + \frac{1}{11.15} + . . . . . .

to 50 terms =

$\frac{50}{203}$
$\frac{50}{609}$
$\frac{150}{203}$
$\frac{25}{609}$

(4 of 160) If

A = [\begin{matrix} 1 & 0 & 2 \\ 2 & 1 & 3 \\ 3 & 2 & 4 \end{matrix}],

then

A^{2} - 5 A + 6 I =

$[\begin{matrix} 8 & 4 & 0 \\ 3 & 8 & 4 \\ 4 & 0 & 12 \end{matrix}]$
$[\begin{matrix} 8 & 4 & 0 \\ 3 & 6 & 4 \\ 4 & 0 & 14 \end{matrix}]$
$[\begin{matrix} 8 & 6 & 0 \\ 3 & 8 & 4 \\ 2 & 0 & 14 \end{matrix}]$
$[\begin{matrix} 8 & 4 & 0 \\ 3 & 8 & 4 \\ 4 & 0 & 14 \end{matrix}]$

(5 of 160) Sum of the positive roots of the equation:

|\begin{matrix} x^{2} + 2 x & x + 2 & 1 \\ 2 x + 1 & x - 1 & 1 \\ x + 2 & - 1 & 1 \end{matrix}| = 0

$\frac{1 + \sqrt{13}}{2}$
1
$\frac{\sqrt{13} - 1}{2}$
3

(6 of 160) If the solution of the system of simultaneous linear equations

x + y - z = 6, 3 x + 2 y - z = 5

and

2 x - y - 2 z + 3 = 0

x = α, y = β, z = γ

, then

α + β =

-7
2
1
-2

(7 of 160) If the point P represents the complex number

z = x + i y

in the argand plane and if

\frac{z + i}{z - 1}

is a purely imaginary number, then the locus of P is :

$x^{2} + y^{2} + x - y = 0$ and $(x, y) \neq (1, 0)$
$x^{2} + y^{2} - x + y = 0$ and $(x, y) \neq (1, 0)$
$x^{2} + y^{2} - x + y = 0$ and $(x, y) = (1, 0)$
$x^{2} + y^{2} + x + y = 0$

(8 of 160) The set represents:

S = \{z \in ℂ / |z + 1 - i| = 1\}

The circle with centre at (-1,1) and radius 1 unit
The circle with centre at (1,-1) and radius 1 unit
The closed circular disc with centre at (1,-1) and radius 1 unit
The closed circular disc with centre at (-1,1) and radius 1 unit

(9 of 160) If

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

then

{(\cos^{3} α + \cos^{3} β + \cos^{3} γ)}^{2} + {(\sin^{3} α + \sin^{3} β + \sin^{3} γ)}^{2} =

1
$\frac{3}{4}$
$\frac{9}{16}$
$\frac{9}{8}$

(10 of 160) If

α

and

β

are two double roots of

x^{2} + 3 (a + 3) x - 9 a = 0

for different values of

a (α > β),

then the minimum value of

x^{2} + α x - β = 0

$\frac{69}{4}$
$- \frac{69}{4}$
$- \frac{35}{4}$
$\frac{35}{4}$

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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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