This Maths Practice sample paper is based on EAMCET syllabus and consist 34 questions, you can download all 34 questions in PDF format using link below last question.

**Ques. **Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chairs marked 1 to 4 and then men select the chairs from amongst the remaining. The number of possible arrangements is

(a) ^{6}C_{3} x ^{4}C_{2}

(b) ^{4}C_{2} x ^{4}P_{3}

(c) ^{4}C_{2} x ^{4}P_{3}

(d) None of these

Ans:- (d)

**Ques.** The number of proper subsets of the set {1, 2, 3} is

(a) 8

(b) 7

(c) 6

(d) 5

Ans:- (c)

**Ques. **One side of a rectangle lies along the line 4x + 7y + 5 = 0. Two of its vertices are (–3, 1) and (1, 1). Then the equations of other two sides are

(a) 7x – 4y + 25 = 0, 4x + 7y = 11 and 7x – 4y – 3 = 0

(b) 7x + 4y + 25 = 0, 7y + 4x – 11 = 0 and 7x – 4y – 3 = 0

(c) 4x – 7y + 25 = 0, 7x + 4y – 11 = 0 and 4x – 7y – 3 = 0

(d) None of these

Ans:- (a)

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**Ques.** Let u = i + j, v = i – j and w = i + 2j + 3k. If n is a unit vector such that u.n = 0 and v.n = 0 then | w . n | is equal to

(a) 0

(b) 1

(c) 2

(d) 3

Ans:- (d)

**Ques. **If the equation x^{2} + y^{2} + 2gx + 2fy + 1 = 0 represents a pair of lines, then

(a) g^{2} – f^{2} = 1

(b) f^{2} – g^{2} = 1

(c) g^{2} + f^{2} = 1

(d) f^{2} + g^{2} = ½

Ans:- (c)

**Ques.** The resultant of three forces represented in magnitude and direction by the sides of a triangle *ABC* taken in order with *BC* = 5 *cm*, *CA* = 5 *cm*, and *AB* = 8 *cm*, is a couple of moment

(a) 12 unit

(b) 24 unit

(c) 36 unit

(d) 16 unit

Ans:- (b)

**Ques. **A variable circle passes through the fixed point A (p, q) and touches *x*-axis. The locus of the other end of the diameter through *A* is

(a) (y – q)^{2} = 4px

(b) (x – q)^{2} = 4py

(c) (y – p)^{2} = 4qx

(d) (x – p)^{2} = 4qy

Ans:- (d)

**Ques.** A hockey stick pushes a ball at rest for 0.01 second with an average force of 50 *N*. If the ball weighs 0.2 *kg*, then the velocity of the ball just after being pushed is

(a) 3.5 m/sec

(b) 2.5 m/sec

(c) 1.5 m/sec

(d) 4.5 m/sec

Ans:- (b)

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**Ques. **Locus of the foot of the perpendicular drawn from the centre upon any tangent to the ellipse x^{2}/a^{2} + y^{2}/b^{2} = 1, is

(a) (x^{2} + y^{2})^{2} = b^{2}x^{2} + a^{2}y^{2}

(b) (x^{2} + y^{2})^{2} = b^{2}x^{2} – a^{2}y^{2}

(c) (x^{2} + y^{2})^{2} = a^{2}x^{2} – b^{2}y^{2}

(d) (x^{2} + y^{2})^{2} = a^{2}x^{2} + b^{2}y^{2
}Ans:- (d)

**Ques.** If a party of *n* persons sit at a round table, then the odds against two specified individuals sitting next to each other are

(a) 2 : (n – 3)

(b) (n – 3) : 2

(c) (n – 2) : 2

(d) 2 : (n – 2)

Ans:- (b)

**Ques. **The differential equation (d^{2}y/dx^{2})^{2} – (dy/dx)^{1/2} = y^{3} has the degree

(a) ½

(b) 2

(c) 3

(d) 4

Ans:- (d)

**Ques.** The mean weight per student in a group of seven students is 55 *kg* If the individual weights of 6 students are 52, 58, 55, 53, 56 and 54; then weights of the seventh student is

(a) 55 kg

(b) 60 kg

(c) 57 kg

(d) 50 kg

Ans:- (c)

**Ques. **When the correlation between two variables is perfect, then the value of coefficient of correlation *r* is

(a) – 1

(b) + 1

(c) 0

(d) __+__1

Ans:- (d)

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**Ques.** The vertices of a feasible region of the above question are

(a) (0, 18), (36, 0)

(b) (0, 18), (10, 13)

(c) (10, 13), (8, 14)

(d) (10, 13), (8, 14), (12, 12)

Ans:- (c)

**Ques. **In the process of finding the root of the equation x^{3} – x – 1 = 0 in the interval [1, 2] by bisection method, the first aproximation after the initial approximation is

(a) 1.5

(b) 1.75

(c) 1.25

(d) 1.375

Ans:- (c)

**Ques.** In the group G = {1, 3, 7, 9} under multiplication modulo 10, the inverse of 7 is

(a) 7

(b) 3

(c) 9

(d) 1

Ans:- (b)

**Ques. **The binary equivalent of decimal number (0.65625)_{10} is

(a) (0.10101)_{2}

(b) (0.110101)_{2}

(c) (0.10011)_{2}

(d) (0.10110)_{2
}Ans:- (a)

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