2024 May 22 EAPCET Engineering Afternoon Practice Test

Test Description

This EAPCET Engineering Practice Test was a previous year EAPCET exam conducted on 2024 May 22nd 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 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 EAPCET 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) The range of the real valued function

f (x) = \frac{15}{3 s i n x + 4 c o s x + 10}

[0, 3]
[-1, 3]
[1, 3]
[-1, 1]

(2 of 160) Define the functions f, g, and h from R to R such that

f (x) = x^{2} - 1, g (x) = \sqrt{x^{2} + 1}

and

h (x) = \{\begin{cases} 0, & if x \leq 0 \\ x, & if x \geq 0 \end{cases}

consider the following statements

(I)

f o g

is invertible
(II)

h

is an identify function
(III)

f o g

is not invertible
(IV)

(h o f o g) x = x^{2}

Then which one of the following is true?

II, IV
II, III
III, IV
I, II

(3 of 160) 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

(4 of 160)

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

and B is a matrix such that AB=BA. If AB is not an identity matrix, then the matrix that can be taken as B is

$[\begin{matrix} - 9 & - 3 & 6 \\ - 6 & 8 & - 4 \\ 12 & - 4 & - 2 \end{matrix}]$
$[\begin{matrix} 9 & - 3 & 6 \\ - 6 & 8 & - 4 \\ - 12 & - 4 & 2 \end{matrix}]$
$[\begin{matrix} 9 & - 3 & - 6 \\ - 6 & 8 & - 4 \\ - 12 & 4 & - 2 \end{matrix}]$
$[\begin{matrix} 9 & - 3 & - 6 \\ - 6 & - 8 & 4 \\ - 12 & 4 & - 2 \end{matrix}]$