EAMCET Mathematics Practice Test 007

Test Description

This Mathematics Practice Test is the seventh 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

π_{1}

be the plane determined by the vectors

i + 2 j

and

3 \bar{j} - 2 k

. Let

π_{2}

be the plane determined by the vectors

j + 2 k

and

3 k - 2 i

. If

θ

is the angle between

π_{1}

and

π_{2}

, then

cosθ =

$\frac{7}{26}$
$- \frac{14}{29}$
$- \frac{32}{5 \sqrt{2}}$
$\frac{23}{38}$

(2 of 40) If

a = 2 i + 3 j

b = 3 j + 4 k

and

c = 5 i + 4 k

are three vectors, then a vector which is perpendicular to

a

and

b \times c

$45 i - 30 j + 15 k$
$3 i - 2 j + k$
$- 30 i + 20 j + 4 k$
$- 45 i + 30 j + 4 k$

(3 of 40) Let

OA = 2 i - 3 j + k

OB = i - 4 j - 3 k

and

OC = - 3 i + j + 2 k

be the position vectors of three points A, B, C respectively. If G is the centroid of triangle ABC, then

{BC}^{2} + {CA}^{2} + {AB}^{2} + 9 {(OG)}^{2} =

(4 of 40) The variance of 20 observations is 5. If each one of the observations is multiplied by 2, then the variance of the resulting observations is

(5 of 40) If two subsets A and B are selected at random from a set S containing n elements, then the probability that

A \cap B = ϕ

and

A \cup B = S

, is

$\frac{1}{2^{n}}$
$2^{n}$
$\frac{1}{2^{n + 1}}$
$\frac{1}{2^{n} \times 2^{n}}$

(6 of 40) Bag

B_{1}

contains 4 white and 2 black balls. Bag

B_{2}

contains 3 white and 4 black balls. A bag is chosen at random and a ball is drawn from it at random, then the probability that the ball drawn is white, is

$\frac{1}{42}$
$\frac{42}{32}$
$\frac{33}{42}$
$\frac{23}{42}$

(7 of 40) If four dice are thrown simultaneously, then the probability that none of the dice shows the number 1 on its face, is

$\frac{625}{1296}$
$\frac{125}{648}$
$\frac{1250}{1296}$
$\frac{625}{2592}$

(8 of 40) The range of a random variable X is

\{0, 1, 2\}

. If

P (X = 0) = 3 C^{3}

P (X = 1) = 4 C - 10 C^{2}

and

P (X = 2) = 5 C - 1

, then the value of C is

$\frac{2}{3}$
$\frac{1}{3}$
$\frac{5}{3}$
$\frac{4}{3}$

(9 of 40) If eight coins are tossed simultaneously, then the probability of getting atleast six heads is

$\frac{37}{64}$
$\frac{37}{512}$
$\frac{37}{256}$
$\frac{37}{128}$

(10 of 40) If A (4,0) and B (-4,0) are two points, then the locus of a point P such that PA-PB=4 is

$3 x^{2} - y^{2} = 12$
$x^{2} - 3 y^{2} = 12$
$4 (x^{2} - 3 y^{2}) = 1$
$3 x^{2} - y^{2} = 1$

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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