EAMCET Mathematics Practice Test 006

Test Description

This Mathematics Practice Test is the sixth 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) Let

f : ℝ \to ℝ

be a function defined by

f (x) = \frac{2 x + 1}{3}

. If

α

is an element in the domain of f whose image is

\frac{1}{α}

, then the sum of all possible values of such

α

$\frac{- 1}{2}$
$\frac{1}{2}$
$\frac{5}{2}$
$0$

(2 of 40) Let

f (x) = |x|

and

g (x) = |x| + a

(a > o)

. For

0 \leq x \leq b

\{(x, y) / g (x) \leq y \leq f (x)\}

represents all the points in the interior of

a parallelogram
a triangle
a square
a circle

(3 of 40) If there exists a

k^{th}

order non-singular sub matrix in a matrix P of order

m \times n

, then the rank

(ρ)

of P

satisfies $k \leq ρ \leq m$
satisfies $k < ρ < n$
satisfies $k \leq ρ \leq \min \{m, n\}$
is equal to $k + 1$

(4 of 40) If

A = [\begin{matrix} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \end{matrix}]

and

B = [\begin{matrix} b_{11} & b_{12} & b_{13} \\ b_{21} & b_{22} & b_{23} \end{matrix}]

, then which one of the following is true?

$A^{T} {BB}^{T} A = B^{T} {AA}^{T} B$
The orders of $A^{T} {BB}^{T} A$ and $B^{T} {AA}^{T} B$ are equal
The orders of $A + B$ , $A^{T} B$ , ${BA}^{T}$ are equal
Rank of A and B are equal

(5 of 40) In a matrix A, if all the sub matrices of

k^{th}

order are singular and there is one non-singular sub matrix of order r (r < k), then the rank (

ρ

) of the matrix A

satisfies $r \leq ρ < k$
is equal to r
is equal to (k-1)
is equal to (k+1)

(6 of 40) If

\sqrt{- 3 - 4 i} = {re}^{iθ}

, then

r^{2} \tan θ =

-5
5
10
-10

(7 of 40) If

z_{1} = 2 - 3 i

and the roots of the equation

z^{3} + {bz}^{2} + cz + d = 0

are

i, z_{1}

and

z_{1}

, then b+c+d=

13
7
9 - 10i
10 - 10i

(8 of 40) If

ω

is a complex cube root of unity, then

\cos (Σ_{k = 1}^{7} (k - ω) (k - ω^{2}) \frac{π}{175}) =

-1
0
1
5

(9 of 40) Let the two values of

z = \sqrt{\frac{1 - i}{1 + i}}

z_{1}

and

z_{2}

. If

- \frac{π}{2} < Arg (z_{1}) < Arg (z_{2}) < π

, then

\arg (z_{1}) + \arg (z_{2}) =

$\frac{π}{4}$
$\frac{3 π}{2}$
$\frac{π}{3}$
$\frac{π}{2}$

(10 of 40) If

α

and

β

are the roots of the equation

x^{2} + x + 1 = 0

, then the quadratic equation whose roots are

α^{2023}

and

β^{1012}

$x^{2} + x + 1 = 0$
$x^{2} - x + 1 = 0$
$x^{2} - x + 2 = 0$
$x^{2} + x + 2 = 0$

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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