2024 May 22 EAPCET Engineering Forenoon Practice Test

Test Description

This is a test for 2024 May 22 EAPCET Engineering

Test Instructions

The test contains 160 multiple-choice questions.
Total time for the test is 3h 00m.
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 160) The domain of the real valued function

f (x) = \sqrt{9 - \sqrt{x^{2} - 144}}

, is

$[- 15, - 12] \cup [12,15]$
$[- \infty, - 12] \cup [12, \infty]$
$[- 15, 15]$
$[- 12, 12]$

(2 of 160) If set A has 5 elements, set B has 7 elements then the number of many one functions that can be defined from A to B is

$7^{5} - 7$
$5^{7} - 5$
$5^{7} - {{}^{7}P}_{5}$
$7^{5} - {{}^{7}P}_{5}$

(3 of 160) 2 + 3 + 5 + 6 + 8 + 9 + ... + 2n terms =

$3 n^{2} + 2 n$
$4 n^{2} + 2 n$
$4 n^{2}$
$5 n^{2} + 2 n$

(4 of 160) If the set of equations

x + 2 y + 3 z = 6

x + 3 y + 5 z = 9

2 x + 5 y + az = b

has unique solution, then

$a = 8,b=15$
$a \neq 8, b \in R$
$a = 8, b \neq 15$
$a \neq 15, b = 8$

(5 of 160) If P and Q are two

3 \times 3

matrices such that

|P Q| = 1

and

|P| = 9

, then the determinant of adjoint of the matrix

P . A d j 3 Q

$9^{4}$
$\frac{1}{9^{4}}$
$9^{2}$
$\frac{1}{9^{2}}$

(6 of 160) If

A = [\begin{matrix} a & 1 & 2 \\ 1 & 2 & b \\ c & 1 & 3 \end{matrix}]

and

A d j A = [\begin{matrix} 7 & - 1 & - 5 \\ - 3 & 9 & 5 \\ 1 & - 3 & 5 \end{matrix}]

then

a^{2} + b^{2} + c^{2} =

(7 of 160) If Z is a complex number such that

|Z| \leq 3 a n d \frac{- π}{2} \leq a m p Z \leq \frac{π}{2}

, then the area of the region formed by locus of Z is

$9 π$
$\frac{9 π}{2}$
$3 π$
$\frac{9 π}{4}$

(8 of 160) The locus of the complex number Z such that

a r g (\frac{z - 1}{z + 1}) = \frac{π}{4}

a straight line
a circle
a parabola
an ellipse

(9 of 160) All the values of

(8 i) \frac{1}{3}

are

$\pm (\sqrt{3} + i), - 2 i$
$\pm \sqrt{3} + i, - 2 i$
$\pm (\sqrt{3} - i), 2 i$
$\pm (2 + i), i$

(10 of 160) If

α, β

are the roots of the equation

x^{2} - 6 x - 2 = 0, α > β a n d a_{n} = α^{n} - β^{n}, n \geq 1

, then the value of

\frac{a_{10} - 2 a_{8}}{2 a_{9}}

is equal to

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2024 May 22 EAPCET Engineering Forenoon Practice Test

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Test Details

Duration

3h 00m

Questions

160 Multiple Choice Questions

Passing Score

N/A% or higher to pass

Attempts

Unlimited attempts allowed

Total Runs

100