2023 May 13 EAMCET Engineering Afternoon Mathematics Practice Test

Test Description

This EAMCET Engineering Mathematics Practice Test was a previous year EAMCET exam conducted on 2023 May 13 Shift 2. This test consists of 80 objective type questions from both Intermediate First Year and Intermediate Second Year Mathematics. The questions are given in the same format as in the exam conducted by Telangana (AP) EAMCET exam in the year 2023.

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 80 multiple-choice questions.
Total time for the test is 1h 30m.
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 80) Which one of the following functions is a bijection?

$f : R - Z \to [0, 1]$ defined by $f (x) = \sqrt{x - [x]}$ . (Here [x] represents the greatest integer function)
$f : R \to (- \infty, 2)$ defined by $f (x) = 4 x - x^{2} - 3$
$f : (5, \infty) \to R - \{0\}$ defined by $f (x) = \frac{1}{\sqrt{x - 5}}$
$f : [0, 4] \to [0, 4]$ defined by $f (x) = \sqrt{16 - x^{2}}$

(2 of 80) The domain of the real valued function

f (x) = \frac{\sqrt{|x| - x}}{\sqrt{x - [x]}}

$ℤ$
$ϕ$
$ℝ - ℤ$
$ℝ$

(3 of 80)

The range of the function defined by

f (x) = \{\begin{cases} 2 x - 3, & i f x < - 1 \\ 1 - x^{2}, & i f - 1 \leq x \leq 1 \\ 3 x^{2} + 2, & i f x > 1 \end{cases}

$ℝ$
$(- \infty, - 5) \cup [0, 1] \cup (5, \infty)$
$(- \infty, - 1) \cup (1, \infty)$
$(- \infty, - 3) \cup (0, 1) \cup (3, \infty)$

(4 of 80) If

A = [\begin{matrix} b & a & 0 \\ c & 0 & b \\ a & a & b \end{matrix}]

and

B = [\begin{matrix} 0 & a & b \\ b & 0 & c \\ b & a & a \end{matrix}]

are two matrices such that

A B = [\begin{matrix} 2 & 2 & 7 \\ 1 & 8 & 5 \\ 3 & 6 & 10 \end{matrix}]

, then

a^{2} + b^{2} + c^{2} =

(5 of 80) If

A = [\begin{matrix} 1 & a & 3 \\ b & 2 & c \\ 3 & d & 4 \end{matrix}]

is a symmetric matrix and

B = [\begin{matrix} 0 & 5 & b \\ - 5 & 0 & - 7 \\ 6 & c & 0 \end{matrix}]

is a skew symmetric matrix, then AB=

$[\begin{matrix} 48 & 27 & 48 \\ 52 & 19 & 22 \\ - 59 & 43 & - 67 \end{matrix}]$
$[\begin{matrix} 48 & 26 & 36 \\ 32 & 19 & 22 \\ - 11 & 43 & - 67 \end{matrix}]$
$[\begin{matrix} 12 & 26 & 36 \\ 32 & 79 & 50 \\ - 11 & 43 & - 67 \end{matrix}]$
$[\begin{matrix} 12 & 32 & 41 \\ 32 & 19 & 22 \\ - 11 & 43 & - 67 \end{matrix}]$