EAMCET Mathematics Practice Test 017

Test Description

This Mathematics Practice Test is the seventeenth 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) The range of the function

f (x) = \log_{0.5} (x^{4} - 2 x^{2} + 3)

$(- \infty, \infty)$
$(- \infty, - 1)$
$(- 1, \infty)$
$(- 1, 1)$

(2 of 40) If P is a non-singular matrix such that

1 + P + P^{2} + . . . + P^{n} = O

(O denotes the null matrix), then

P^{- 1} =

$P^{n}$
$- P^{n}$
$- (1 + P + . . . + P^{n})$
$- (1 + P + . . . + P^{n - 1})$

(3 of 40) If

z_{1} and z_{2}

are complex numbers such that

|z_{1} + z_{2}| = |z_{1}| + |z_{2}|

then the difference in the amplitudes of

z_{1} and z_{2}

$\frac{π}{4}$
$\frac{π}{3}$
$\frac{π}{2}$
0

(4 of 40) If

i = \sqrt{- 1}

then

1 + i^{2} + i^{4} + i^{6} + . . . + i^{2024} =

i
-i
1
-1

(5 of 40) If one root of the equation

4 x^{2} - 2 x + k - 4 = 0

is the reciprocal of the order, then the value of k is

-8
8
-4
4

(6 of 40) If the expression

x^{3} + 3 x^{2} - 9 x + λ

is of the form

{(x - α)}^{2} (x - β)

, then the values of

λ

are

27, -5
-27, -5
27, 5
-27, 5

(7 of 40) The number of ways of arranging all the letters of the word "SUNITHA" so that the vowels always occupy the first, middle, and last places is

5040
24
3
144

(8 of 40) If the term independent of x in the expansion of

{(\sqrt{x} - \frac{k}{x^{2}})}^{10}

is 405, then k=

$\pm 1$
0
$\pm 3$
$\pm 5$

(9 of 40) If

\frac{x^{4}}{(x - 1) (x - 2) (x - 3)} = p (x) + \frac{A}{x - 1} + \frac{B}{x - 2} + \frac{C}{x - 3}

, then

p (\frac{3}{2}) + C =

0
8
$- \frac{17}{2}$
48

(10 of 40) For

0 \leq x \leq π

, if

81^{\sin^{2} x} + 81^{\cos^{2} x} = 30

, then x=

$\frac{π}{6}$
$\frac{π}{4}$
$\frac{π}{15}$
$\frac{π}{8}$

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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