EAMCET Mathematics Practice Test 021

Test Description

This Mathematics Practice Test is the twenty first 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 roots of the equation

x^{3} - 14 x^{2} + 56 x - 64 = 0

are in

arithmetic-geometric progression
harmonic progression
arithmetic progression
geometric progression

(2 of 40) The number of all four digit numbers that can be formed with the digits 0, 1, 2, 3, 4, 5 when the repetition of the digits is not allowed, is

(3 of 40) The number of rational terms in the binomial expansion of

{(\sqrt[4]{5} + \sqrt[5]{4})}^{100}

(4 of 40)

\frac{(1 + \tan 32 °)}{(1 - \tan 48 °)} =

(5 of 40) In a triangle ABC, if

r_{1} = 2 r_{2} = 3 r_{3}

, then

\frac{a}{b} + \frac{b}{c} + \frac{c}{a} =

$\frac{75}{60}$
$\frac{155}{60}$
$\frac{176}{60}$
$\frac{191}{60}$

(6 of 40) The position vectors of the points A, B are

a, b

respectively. If the position vector of the point C is

\frac{a}{2} + \frac{b}{3}

, then

C lies inside $∆ OAB$
C lies outside $∆ OAB$ but inside $∠ AOB$
C lies outside $∆ OAB$ but inside $∠ OAB$
C lies outside $∆ OAB$ but inside $∠ OBA$

(7 of 40) If

|a| = 1, |b| = 2, {|a - b|}^{2} + {|a + 2 b|}^{2} = 20

then

(a, b) =

$\frac{π}{3}$
$\frac{π}{4}$
$\frac{π}{6}$
$\frac{2 π}{3}$

(8 of 40) In a non-leap year, the probability of getting 53 Sundays or 53 Tuesdays or 53 Thursdays is

$\frac{1}{7}$
$\frac{2}{7}$
$\frac{3}{7}$
$\frac{4}{7}$

(9 of 40) If each of the points (a,4), (-2,b) lies on the line joining the points (2,-1) and (5,-3) then the point (a,b) lies on the line

6x+6y-25=0
x+3y+1=0
2x+6y+1=0
2x+3y-5=0

(10 of 40) If

C (α, β) (α < 0)

is the centre of the circle that touches the Y-axis at (0,3) and makes an intercept of length 2 units on positive X-axis, then

(α, β) =

$(- 3, \sqrt{10})$
$(- 3, - \sqrt{10})$
$(- \sqrt{10}, 3)$
$(- \sqrt{10}, - 3)$

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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