EAMCET Mathematics Practice Test 024

Test Description

This Mathematics Practice Test is the twenty fourth mock test in the series of many Mathematics tests. This test consists of 40 objective type questions from both Intermediate First Year and Intermediate Second Year Mathematics. This test provides questions in the format of Andhra Pradesh (AP) EAPCET and Telangana (TS) EAMCET.

This test is completely free, and students can attempt as many times as needed and help students in preparing for entrance tests and get admissions into various reputed colleges for Engineering.

Test Instructions

The test contains 40 multiple-choice questions.
Total time for the test is 0h 45m.
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 40) The domain of the function

f (x) = {Sin}^{- 1} (\log_{2} (\frac{x^{2}}{2}))

$[- 2, 0) \cup (0, 1)$
$[1, \infty) \cap [- 2, 2]$
$[- 2, - 1] \cup [1, 2]$
$(- \infty, 1] \cap [- 2, 2]$

(2 of 40) The range of the function

f (x) = - \sqrt{- x^{2} - 6 x - 5}

[0, 2]
[- 2, 0]
[- 2, 2]
$(- \infty, 2]$

(3 of 40) If

f : ℝ \to ℝ

is defined by

f (x) = 2 x + \sin x, x \in R

, then

f

One - one and onto
One - one but not onto
Onto but not one - one
Neither one - one nor onto

(4 of 40)

|\begin{matrix} \sqrt{3} & 2 \sqrt{5} & \sqrt{5} \\ \sqrt{15} & 5 & \sqrt{10} \\ 3 & \sqrt{15} & 5 \end{matrix}| =

$5 \sqrt{2} - 3 \sqrt{3}$
$5 \sqrt{3} - 3 \sqrt{5}$
$10 \sqrt{3} - 15 \sqrt{2}$
$15 \sqrt{2} - 25 \sqrt{3}$

(5 of 40) If A is a non-singular matrix such that (A-2I) (A-3I) = O, then

\frac{1}{5} A + \frac{6}{5} A^{- 1} =

(6 of 40) Let be a matrix such that AB is a scalar matrix where

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

and det(3A) = 27. Then

3 A^{- 1} + A^{2} =

$[\begin{matrix} 4 & - 6 \\ 0 & 2 \end{matrix}]$
$[\begin{matrix} 9 & - 4 \\ 0 & 3 \end{matrix}]$
$[\begin{matrix} 10 & - 6 \\ 0 & 2 \end{matrix}]$
$[\begin{matrix} 10 & - 6 \\ 0 & 4 \end{matrix}]$

(7 of 40) If A is a symmetric matrix with real entries, then

$A^{- 1}$ is symmetric, if it exists
$A^{- 1}$ always exists and is symmetric
$A^{- 1}$ is skew symmetric, if it exists
$A^{- 1}$ always exists and is skew - symmetric

(8 of 40)

Arg (\sin \frac{6 π}{5} + i (1 + \cos \frac{6 π}{5})) =

$\frac{5 π}{6}$
$\frac{6 π}{5}$
$\frac{2 π}{5}$
$\frac{9 π}{10}$

(9 of 40) If

x + i y = \sqrt{\frac{3 + i}{1 + 3 i}}

, then

{(x^{2} + y^{2})}^{2} =

(10 of 40) If the imaginary part of

\frac{2 z + 1}{i z + 1}

is -2, then the locus of the point representing z in the Argand plane is

A circle
A straight line
A parabola
An ellipse

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Test Details

Duration

0h 45m

Questions

40 Multiple Choice Questions

Passing Score

N/A% or higher to pass

Attempts

Unlimited attempts allowed

Total Runs

100