2023 May 14 EAMCET Engineering Forenoon Mathematics Practice Test

Test Description

This EAMCET Engineering Mathematics Practice Test was a previous year EAMCET exam conducted on 2023 May 14 Shift 1. 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) If

{{}^{n}C}_{r}

denotes the number of combinations of n distinct things taken r at a time, then the domain of the function

g (x) = {}^{(16 - x)}C_{(2 x - 1)}

{1, 2, 3, 4, 5}
{0, 1, 2, 3, 4}
$\emptyset$
{0}

(2 of 80) Let

X = \{[\begin{matrix} a & b \\ c & d \end{matrix}] / a, b, c, d \in ℝ\}

. If

f : X \to ℝ

is defined by

f (A) = d e t (A) \forall A \in X

, then

f

one-one but not onto
onto but not one-one
one-one and onto
neither one-one nor onto

(3 of 80) If

f (x)

is a function such that

f (x + y) = f (x) + f (y)

and

f (1) = 7

then

Σ_{r = 1}^{n} f (r) =

$\frac{7 n}{2}$
$\frac{7 (n + 1)}{2}$
$7 n (n + 1)$
$\frac{7 n (n + 1)}{2}$

(4 of 80) If A is a square matrix of order 3, then

| A d j (A d j A^{2}) | =

${|A|}^{2}$
${|A|}^{4}$
${|A|}^{8}$
${|A|}^{16}$

(5 of 80) If A and B are two square matrices of the same order and

{(AB + BA)}^{T} + {(AB - BA)}^{T} = 2 BA

then

A and B are both symmetric matrices but not skew-symmetric matrices
A and B are both skew-symmetric matrices but not symmetric matrices
A and B are neither symmetric nor skew-symmetric matrices
A and B are any two non zero matrices

(6 of 80) If adj

[\begin{matrix} 1 & 0 & 2 \\ - 1 & 1 & - 2 \\ 0 & 2 & 1 \end{matrix}] = [\begin{matrix} 5 & m & - 2 \\ 1 & 1 & 0 \\ - 2 & - 2 & n \end{matrix}]

, then m+n=

2
-3
5
-5

(7 of 80) If

A = [\begin{matrix} 0 & 3 \\ 0 & 0 \end{matrix}]

and

f (x) = x + x^{2} + x^{3} + \dots \dots . + x^{2023}

, then

f (A) + I =

$[\begin{matrix} 0 & 0 \\ 0 & 0 \end{matrix}]$
$[\begin{matrix} 1 & 3 \\ 0 & 0 \end{matrix}]$
$[\begin{matrix} 1 & 3 \\ 0 & 1 \end{matrix}]$
$[\begin{matrix} 1 & 3 \\ 1 & 1 \end{matrix}]$

(8 of 80) If

i = \sqrt{- 1}

then

Σ_{n = 0}^{\infty} {(\frac{i}{3})}^{n} =

$\frac{9 - 3 i}{10}$
$9 - 3 i$
$9 + 3 i$
$\frac{9 + 3 i}{10}$

(9 of 80) If

i = \sqrt{- 1}

then

A r g [\frac{{(1 + i)}^{2025}}{{(1 - i)}^{2022}}] =

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

(10 of 80) The locus of z such that

|\frac{z - i}{z + i}| = 2

, where z=x+iy, is

$3 x^{2} + 3 y^{2} + 10 y + 3 = 0$
$3 x^{2} - 3 y^{2} - 10 y - 3 = 0$
$3 x^{2} + 3 y^{2} + 10 y - 3 = 0$
$x^{2} + y^{2} - 5 y + 3 = 0$

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Test Details

Duration

1h 30m

Questions

80 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

Total Runs

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