EAMCET Mathematics Practice Test 012

This Mathematics Practice Test is the twelfth 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

Quick Test

(1 of 40) Let L be the line passing through the points

i - 9 k

and

7 j + k

and

π

be the plane passing through the point

6 i + j

and perpendicular to the vector

i + j + k

. If

θ

is the angle between L and

π

, then

\sin θ =

$\frac{8 \sqrt{2}}{15}$
$\frac{3 \sqrt{3}}{8}$
$\frac{7}{13}$
$\frac{24}{25}$

(2 of 40) If

OA = 2 i - j + k, OB = 3 i - k and OC = 2 j + 3 k

are the position vectors of the points A, B and C, then a unit vector perpendicular to the plane containing A, B and C is

$\frac{8 i - 4 j + 2 k}{2 \sqrt{21}}$
$\frac{6 i + 2 j + 3 k}{7}$
$\frac{9 i + 2 j + 6 k}{11}$
$\frac{8 i + 2 j + 5 k}{\sqrt{93}}$

(3 of 40) Let

b = 3 i - 2 j + k

and

c = i - j - k

be two vectors. If

a

is a vector such that

a + b + c = 0, then |a \times b + b \times c + c \times a| =

15
$\sqrt{261}$
$\sqrt{234}$
33

(4 of 40) If each of the observations

x_{1}, x_{2}, . . . ., x_{n}

is increased or decreased by k, where k is a positive number, then the variance of the data thus obtained

increase by k
do not change
is equal to $k^{2}$
is equal to 2k

(5 of 40) If S be the sample space of a random experiment

ξ

and P be a probability function defined on the power set

P (S)

of S, then which one of the following is not satisfied by P?

(i) $P (ϕ) = 0$

(ii) If $E^{c}$ is the complementary event of E, then $P (E^{c}) = 1 - P (E)$

(iii) $0 \leq p (E) \leq 1, \forall E \subseteq S$

(iv) If $E_{1} \subseteq E_{2} then P (E_{2}) \leq P (E_{1})$

(iii)
(iv)
(ii)
(i)

(6 of 40) If A and B simultaneously toss one coin each every time, each 50 times, then the probability of not getting tail on both the coins is

${(\frac{3}{4})}^{50}$
${(\frac{2}{3})}^{50}$
${(\frac{1}{3})}^{50}$
${(\frac{1}{2})}^{50}$

(7 of 40) A pair of dice is thrown. Then the probability that either of the dice shows 2 when their sum is 6 is

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

(8 of 40)

If A and B are any two events of a sample space, then set-theoretic description for the event: "Exactly one of the events A, B to occur" is

(Here

E^{c}

denotes the compliment of the event E)

$A \cap B^{c}$
$(A - B) \cup (A \cup B)$
$(A \cap B^{c}) \cup (A^{c} \cap B)$
${(A \cap B)}^{c} \cup (A^{c} \cap B^{c})$

(9 of 40) If the mean and variance of the binomial variable X are 2.4 and 1.44 respectively, then the parameters n and p are respectively

6, $\frac{2}{5}$
4, $\frac{3}{5}$
6, $\frac{3}{5}$
8, $\frac{1}{3}$

(10 of 40)

If a Bernoulli trial is conducted n times, then

Which of the following is not suitable to use Poisson distribution?
(i) Each trail results in two mutually exclusive outcomes namely success, failure
(ii) The number 'n' of such trials is sufficiently large.
(iii) The trials are independent of each other.
(iv) The probability 'p' of success in each trial is very large.

(iv)
(iii)
(ii)
(i)

EAMCET Mathematics Practice Test 012

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