EAMCET Mathematics Practice Test 010

This Mathematics Practice Test is the tenth 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) The set

\{x \in ℝ : 4 + 11 x - 3 x^{2} > 0\}

is the interval

$(- \frac{1}{3}, 4)$
$(\frac{1}{3}, 4)$
$(- 4, \frac{1}{3})$
$(- 4, \frac{- 1}{3})$

(2 of 40) If the sum of the cubes of the roots of the equation

x^{3} - {ax}^{2} + bx - c = 0

is zero, then

a^{3} + 3 c =

-2ab
2ab
-3ab
3ab

(3 of 40) If

α, β, γ

are the roots of

x^{3} + 2 x + 5 = 0

, then

\sum_{} \frac{β + γ}{α^{2}} =

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

(4 of 40) If the numerically greatest term in the expansion of

{(2 - 3 x)}^{9}

when x=1 is

P_{1}^{α} P_{2}^{β} P_{3}^{γ} P_{4}^{δ} (P_{1} < P_{2} < P_{3} < P_{4}

are the first four prime numbers), then

α + β + γ + δ =

(5 of 40) The number of all 8 digit odd numbers is

$45 \times 10^{6}$
$90 \times 10^{6}$
$9 \times 10^{8}$
$9 \times 10^{6}$

(6 of 40) The degree of the polynomial

{(x + \sqrt{x^{4} - 1})}^{9} + {(x - \sqrt{x^{4} - 1})}^{9}

(7 of 40) The number of all four digit numbers which begin with 4 and end with either zero or five is

(8 of 40) If f (n) =n! (31-n)!, where

n \in \{0, 1, 2, . . . . . 31\}

, then the minimum value of f (n) is

(15!) (15!)
(15!) (14!)
(14!) (16!)
(15!) (16!)

(9 of 40)

\frac{\tan A}{1 - \cot A} + \frac{\cot A}{1 - \tan A} =

sec A cosec A - 1
tan A + cot A
tan A + cot A + 1
sec A + cosec A + 1

(10 of 40)

Match the ranges of the function given in List - A with those of the items given in List - B

List - A	List - B
(I) $3 \sin^{2} x + 4 \cos^{2} x - 2$	(a) $[\frac{1}{4}, 1]$
(II) $\cos^{2} x + \sin^{4} x$	(b) $[- \frac{1}{4}, \frac{1}{4}]$
(III) $\sin^{6} x + \cos^{6} x$	(c) $[1, 2]$
(IV) $\cos x \cos (\frac{2 π}{3} + x) \cos (\frac{2 π}{3} - x)$	(d) $[\frac{3}{4}, 1]$ (e) $[0, 1]$

(I) - (c), (II) - (a), (III) - (d), (IV) - (b)
(I) - (c), (II) - (d), (III) - (a), (IV) - (b)
(I) - (b), (II) - (d), (III) - (a), (IV) - (e)
(I) - (b), (II) - (e), (III) - (d), (IV) - (c)

EAMCET Mathematics Practice Test 010

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