EAMCET Mathematics Practice Test 001

Test Description

This Mathematics Practice Test is the first 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)

If $f (x) = x^{3} - x$ and $g (x) = \sin 2 x$ , then $f (g (\frac{π}{12})) =$

0
1
$- \frac{3}{8}$
2

(2 of 40) For

x \in ℝ

f (x) = \sqrt{\log_{10} (\frac{3 - x}{x})}

, then the domain of f is

$[0, \frac{3}{2}]$
$(0, \frac{3}{2}]$
$[0, 1]$
$(0, 1]$

(3 of 40) If

S = [\begin{matrix} 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0 \end{matrix}]

and

A = \frac{1}{2} [\begin{matrix} b + c & c - a & b - a \\ c - b & c + a & a - b \\ b - c & a - c & a + b \end{matrix}]

, then

{SAS}^{- 1} =

$[\begin{matrix} a & 0 & 0 \\ 0 & b & 0 \\ 0 & 0 & c \end{matrix}]$
$\frac{1}{2} [\begin{matrix} a & 0 & 0 \\ 0 & b & 0 \\ 0 & 0 & c \end{matrix}]$
$2 [\begin{matrix} a & 0 & 0 \\ 0 & b & 0 \\ 0 & 0 & c \end{matrix}]$
$[\begin{matrix} a & b & c \\ b & c & a \\ c & a & b \end{matrix}]$

(4 of 40)

If $A = [\begin{matrix} i & 0 \\ 0 & - i \end{matrix}]$ , $B = [\begin{matrix} 0 & - 1 \\ 1 & 0 \end{matrix}]$ and $C = [\begin{matrix} 0 & i \\ i & 0 \end{matrix}]$ then

$A^{2} + B^{2} + C^{2} = 3 A^{2} B^{2} C^{2}$
$A^{2} + B^{2} + C^{2} = 3 ABC$
$A^{2} + B^{2} + C^{2} = 3 I$
$A^{2} + B^{2} + C^{2} = 2 ABC$

(5 of 40) The number of all possible solutions of the equation

z^{3} + \bar{z} = 0

(6 of 40)

{[\sqrt{2} (\cos 56 ° 15' + i \sin 56 ° 15')]}^{8} =

(7 of 40)

{(1 + i)}^{2024} + {(1 - i)}^{2024} =

$- 2^{1012}$
$2^{1013}$
$2^{2024} i$
$- 2^{2024} i$

(8 of 40) If the values of k for which the equation

x^{2} + 2 (k + 2) x + 6 k + 7 = 0

has equal roots are

k_{1}

and

k_{2}

, then

k_{1}^{2} + k_{2}^{2} =

(9 of 40)

α

and

β

are the roots of the equation

x^{2} - ax + b = 0

. If

α^{2} + β^{2}

and

α^{3} + β^{3}

are the roots of the equation

{Ax}^{2} + Bx + C = 0

, then

C =

$a^{5} - 5 a^{3} b + 6 {ab}^{2}$
$a^{5} + 5 a^{3} b - 6 {ab}^{2}$
$a^{5} - 5 a^{3} b - 6 {ab}^{2}$
$a^{5} + 5 a^{3} b + 6 {ab}^{2}$

(10 of 40) The minimum value of

f (x) = \frac{x^{2} - 2 x + 3}{x^{2} - 4 x + 7}

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

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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

Test Description

Test Instructions

Quick Test

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Test Details

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Passing Score

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