Engineering Entrance Sample Papers

Maths EAMCET Sample Paper Maths EAMCET Sample paper (PDF) has 80 objective type questions with answers. Correct answer is bold marked.

Ques. If 2z1 – 3z2 + z3 = 0 then z1, z2, z3 are represented by
(a) three vertices of a triangle
(b) three collinear points
(c) three vertices of a rhombus
(d) none of these
Ans: (b)

Ques. A chord of the circle x2 + y2 = a2 cuts it at two points A and B such that angle AOB is a right angle where O is the centre of the circle. If there is a moving point P on this circle then the locus of orthocentre of △PAB will be a
(a) parabola
(b) circle
(c) straight line
(d) none of these
Ans: (b)

Ques. If one root of the equation x2 + px + 12 = 0 is 4, while the equation x2 + px + q = 0 has equal roots, then the value of q is
(a) 49/4
(b) 4/49
(c) 4
(d) none of these
Ans: (a)

Related: KITS Maths Sample Paper

Ques. If 7x – y + 3 = 0, x + y – 3 = 0 are the equations of two equal sides of an isosceles triangle and (1, 0) is on the base, then the equation of the third side is
(a) x + 3y – 1 = 0
(b) 3x + y – 3 = 0
(c) 7x – y – 7 = 0
(d) x – 7y = 1
Ans: (b)

Ques. If x–coordinate of a point P on the join of Q (2, 2, 1) and R(5, 1, –2) is 4, then its z–coordinate is
(a) –2
(b) –1
(c) 1
(d) 2
Ans: (b)

Ques. The tangent to y2 = 4x at the points (1, 2) and (4, 4) meet on the line
(a) x = 3
(b) y = 3
(c) x + y = 4
(d) y – 2 = 0
Ans: (b)

Ques. From an urn containing 3 white and 5 black balls, 4 balls are transferred into an empty urn. From this urn a ball is drawn and found to be white. The probability that out of four balls transferred, 3 are white and 1 is black, is
(a) 1/3
(b) 1/7
(c) 2/3
(d) none of these
Ans: (b)

Ques. The radical axis of the two circles having centres at C1 and C2 and radii r1 and r2 is neither intersecting nor touching any of the circles, if
(a) C1C2 = 0
(b) 0 < C1C2 < |r1 – r2|
(c) C1C2 = |r1 – r2|
(d) |r1 – r2| < C1C2 < r1 + r2
Ans: (b)

Ques. In a test an examine either guesses or copies or knows the answer to a multiple choice question with 4 choices. The probability that he makes a guess is 1/3 and the probability that he copies the answer is 1/6. The probability that his answer is correct given that he copied it is 1/8. the probability that he know the answer to the question given that he correctly answered it.
(a) 24/29
(b) 8/29
(c) 13/29
(d) none of these
Ans: (a)

Ques. The locus of an end of latus-rectum of all ellipses having a given major axis is
(a) straight line
(b) parabola
(c) ellipse
(d) circle
Ans: (b)

Ques. Let f(x) = x3 + 3x2 + 33x + 2 for x > 0 and ‘g’ be its inverse, then the value of ‘K’ such that Kg’ (2) = 1, is
(a) 33
(b) 42
(c) 12
(d) all of the above
Ans: (a)

Ques. Numbers of zeros at the end of 300 ! is equal to
(a) 75
(b) 89
(c) 74
(d) 98
Ans: (c)

Ques. If f(x) = max {|16 – x2 |, |x|}, the minimum value of f(x) in the interval [–3, 3] is
(a) 2
(b) 6
(c) 4
(d) none of these
Ans: (a)

Ques. If the straight line y = mx is outside the circle x2 + y2 – 20y + 90 = 0, then
(a) m > 3
(b) m < 3
(c) |m| > 3
(d) |m| < 3
Ans: (d)

Ques. Let f(x) = a – (x – 3)8/9, then greatest value of f(x) is
(a) 3
(b) a
(c) no maximum value
(d) none of these
Ans: (b)

Ques. The largest value of a third order determinant whose elements are equal to 1 or 0 is
(a) 1
(b) 2
(c) 3
(d) none of these
Ans: (b)

Ques. The differential equation corresponding to the family of curves y = ex (a cos x + b sin x), a and b being arbitrary constant is
(a) 2y2 + y1 – 2y = 0
(b) y2 – 2y1 + 2y = 0
(c) 2y2 – y1 + 2y = 0
(d) none of these
Ans: (b)

Ques. Which one is True?
(a) sin 1 > sin 2 > sin 3
(b) sin 1 < sin 2 < sin 3
(c) sin 1 < sin 3 < sin 2
(d) sin 3 < sin 1 < sin 2
Ans: (b)

Ques. If the vertex is (2, 0) and the extremities of the latus rectum are (3, 2) and (3, –2), then the parabola is
(a) y2 = 2x – 4
(b) x2 = 4y – 8
(c) y2 = 4x – 8
(d) none of these
Ans: (c)

Ques. A pregnancy test is done on 100 pregnant women and 100 non-pregnant women. Test suggests out of 100 pregnant woman, 2 are pregnant and 8 out of 100 non-pregnant woman are pregnant. A woman is selected randomly and test is done which says woman is pregnant. What is the probability woman is non-pregnant.
(a) ½
(b) 92/100
(c) 8/100
(d) none of these
Ans: (c)

Ques. The value of tan 42o tan66o tan78o is equal to
(a) 1
(b) tan6 o
(c) cot6 o
(d) tan18 o
Ans: (c)

Ques. The graph of the function y = f(x) is symmetrical about x = 2, then
(a) f(x + 2) = f(x – 2)
(b) f(2 + x) = f(2 – x)
(c) f(x) = f(–x)
(d) none of these
Ans: (b)

Ques. Value of 10Cr/11CR, when numerator and denominator takes their greatest value, is
(a) 6/11
(b) 5/11
(c) 10/6
(d) 10/5
Ans: (a)

Ques. If a variable line has its intercepts on the co–ordinates axes e, e’ , where e/2, e’/2 are the eccentricities of a hyperbola and its conjugate hyperbola, then the line always touches the circle x2 + y2 = r2, where r =
(a) 1
(b) 2
(c) 3
(d) cannot be decided
Ans: (b)

Ques. If a1, a2, a3, … is an A.P. such that a1 + a5 + a10 + a15 + a20 + a24 = 225 then a1 + a2 + a3 + … + a23 + a24 is equal to
(a) 909
(b) 75
(c) 750
(d) 900
Ans: (d)

Ques. If a, b, c are in A.P. 10ax + 10, 10bx + 10, 10cx + 10 are in
(a) A.P.
(b) G.P. when x > 0
(c) G.P. for all x
(d) G.P. when x < 0
Ans: (c)

Ques. Sum of coefficients in the expansion of (x + 2y + z)10 is
(a) 210
(b) 310
(c) 1
(d) none of these
Ans: (d)