EAMCET Mathematics Practice Test 009

Test Description

This Mathematics Practice Test is the ninth 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 a set A has n elements, then the number of functions defined from A to A that are not one-one is

${(n)}^{n^{2}}$
$n! - ({}^{n}C_{0} + {}^{n}C_{1} + {}^{n}C_{2} + . . . + {}^{n}C_{n})$
$n^{n} - n!$
$n^{n}$

(2 of 40) If f(x) is the signum function, then in terms of f(x), the constant function g(x)=1,

\forall x \in ℝ

$g (x) = \{\begin{cases} 2 - f (x), & x < 0 \\ f (x), & x \geq 0 \end{cases}$
$g (x) = \{\begin{cases} f (x) + f (- x), & x < 0 \\ f (x) f (- x), & x \geq 0 \end{cases}$
$g (x) = \{\begin{cases} 1 + f (x), & x < 0 \\ 1 - f (x), & x \geq 0 \end{cases}$
$g (x) = \{\begin{cases} f (x) + 2, & x < 0 \\ 1 + f (x), & x = 0 \\ f (x), & x > 0 \end{cases}$

(3 of 40) If

A = [\begin{matrix} 1 & 1 & 3 \\ 5 & 2 & 6 \\ - 2 & - 1 & - 3 \end{matrix}]

, then

A + A^{3} + A^{4} + A^{5} + 3 I =

$[\begin{matrix} 4 & 2 & 1 \\ 2 & 5 & 6 \\ - 3 & 2 & 3 \end{matrix}]$
$[\begin{matrix} 4 & 1 & 3 \\ 5 & 5 & 6 \\ - 2 & - 1 & 0 \end{matrix}]$
$[\begin{matrix} 3 & 1 & 4 \\ 3 & 1 & - 2 \\ - 1 & 2 & - 1 \end{matrix}]$
$[\begin{matrix} 4 & 1 & 3 \\ 2 & 3 & 5 \\ - 3 & - 2 & - 3 \end{matrix}]$

(4 of 40) If the solution for the system of equations x+2y-z=3, 3x-y+2z=1 and 2x-2y+3z=2 is

(α, β, γ)

, then

α^{2} + β^{2} + γ^{2} =

(5 of 40) If

[\begin{matrix} x & 4 & - 1 \end{matrix}] [\begin{matrix} 2 & 1 & 0 \\ 1 & 0 & 2 \\ 0 & 2 & 4 \end{matrix}] [\begin{matrix} x \\ 4 \\ - 1 \end{matrix}] = 0

, then x=

$- 1 + \sqrt{6}$
$8 \pm \sqrt{5}$
$- 2 \pm \sqrt{10}$
$3 \pm \sqrt{6}$

(6 of 40) For real numbers a and b, if

4 a + i (3 a - b) = b - 6 i

and

z = a + \frac{b}{4} i

, then

\frac{|z|}{a} =

$2 \sqrt{2}$
$6 \sqrt{2}$
$\sqrt{2}$
2

(7 of 40) If

z = {(1 - i)}^{3} (x + i)

is purely imaginary number for

x = x_{1}

and if z is a purely real number for

x = x_{2}

, then

x_{1} x_{2} =

-1
0
1
2

(8 of 40) If 1,

ω

ω^{2}

are the cube roots of unity, k is positive integer and

{(1 - ω + ω^{2})}^{3 k} + {(1 - ω^{2} + ω)}^{3 k} = {(1 - ω + ω^{2})}^{3 k + 1} + {(1 + ω - ω^{2})}^{3 k + 1}

, then k=

$r, r \in ℕ$
$2 r + 1, r \in ℕ$
$4 r + 1, r \in ℕ$
$3 r, r \in ℕ$

(9 of 40) If

α, β

are the two real roots of 4th roots of unity and

γ, δ

are the other two roots of it, then the sum of the eccentricities of the conics

|z - α| + |z - β| = 4

and

|z - γ| + |z - δ| = 6

$\frac{5}{6}$
$\frac{5}{12}$
$\frac{3}{7}$
$\frac{4}{5}$

(10 of 40) The set

\{x \in ℝ : 16 (2^{x}) > 16^{\frac{- 1}{x}}\} =

$\{x \in ℝ : x > 0\}$
$\{x \in ℝ : x < 0\}$
$ℝ$
$\{x \in ℝ : x > 2\}$

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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

Practice Tests

Test Details

Duration

Questions

Passing Score

Attempts

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