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

**Question:** The length of subtangent to the curve x^{2}y^{2} = a^{4 }at the point (–a, a) is

(a) 3a

(b) 2a

(c) a

(d) 4a

Ans:- (c)

**Question:** The sides *AB,* *BC*, *CA* of a triangle *ABC* have respectively 3, 4 and 5 points lying on them. The number of triangles that can be constructed using these points as vertices is

(a) 205

(b) 220

(c) 210

(d) None of these

Ans:- (a)

**Question:** If x_{1}, x_{2}, x_{3} as well as y_{1}, y_{2}, y_{3} are in G.P. with the same common ratio, then the points (x_{1}, y_{1}), (x_{2}, y_{2}) and (x_{3}, y_{3})

(a) Lie on a straight line

(b) Lie on an ellipse

(c) Lie on a circle

(d) Are vertices of a triangle

Ans:- (a)

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**Question:** If the pair of straight lines xy – x – y + 1 = 0 and the line ax + 2y – 3 = 0 are concurrent, then *a* =

(a) – 1

(b) 0

(c) 3

(d) 1

Ans:- (d)

**Question:** To expand (1 + 2x)^{–1/2} as an infinite series, the range of *x* should be

(a) [–1/2, 1/2]

(b) (–1/2, 1/2)

(c) [–2, 2]

(d) (–2, 2)

Ans:- (b)

**Question:** Two uniform solid spheres composed of the same material and having their radii 6 *cm* and 3 *cm* respectively are firmly united. The distance of the centre of gravity of the whole body from the centre of the larger sphere is

(a) 1 *cm
*(b) 3

*cm*

(c) 2

*cm*

(d) 4

*cm*

Ans:- (a)

**Question:** Coordinates of the vertices of a quadrilateral are (2, – 1), (0, 2), (2, 3) and (4, 0). The angle between its diagonals will be

(a) 90^{o}

(b) 0^{o}

(c) tan^{–1} (2)

(d) tan^{–1} (1/2)

Ans:- (c)

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**Question:** A man falls vertically under gravity with a box of mass ‘*m*’ on his head. Then the reaction force between his head and the box is

(a) *mg*

(b) 2 *mg*

(c) 0

(d) 1.5 *mg*

Ans:- (c)

**Question:** If the length of the tangents drawn from the point (1, 2) to the circles x^{2} + y^{2} + x + y – 4 = 0 and 3x^{2} + 3y^{2} – x – y + k = 0 be in the ratio 4 : 3, then *k* =

(a) 7/2

(b) 21/ 2

(c) – 21/ 4

(d) 7/ 4

Ans:- (c)

**Question:** The class marks of a distribution are 6,10, 14, 18, 22, 26, 30 then the class size is

(a) 4

(b) 2

(c) 5

(d) 8

Ans:- (a)

**Question:** The value of *c* so that for all real *x*, the vectors cxi + 6j + 3k, xi + 2j + 2cxk make an obtuse angle are

(a) c < 0

(b) 0 < c < 4/3

(c) –4/3 < c < 0

(d) c > 0

Ans:- (c)

**Question:** The maximum value of objective function in the above question is

(a) 100

(b) 92

(c) 95

(d) 94

Ans:- (c)

**Question:** Let *E* and *F* be two independent events. The probability that both *E* and *F* happens is 1/12 and the probability that neither *E* nor *F* happens is ½, then

(a) P(E) = 1/3, P(F) = ¼

(b) P(E) = ½, P(F) = 1/6

(c) P(E) = 1/6, P(F) = ½

(d) None of these

Ans:- (a)

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**Question:** The control unit and arithmetic logic unit is called

(a) Arithmetic Logic Unit (ALU)

(b) Central Processing Unit (CPU)

(c) Memory Unit

(d) Input Unit

Ans:- (b)

**Question:** The equation x^{3} – 3x + 4 = 0 has only one real root. What is its first approximate value as obtained by the method of false position in (–3, –2)

(a) – 2.125

(b) 2.125

(c) – 2.812

(d) 2.812

Ans:- (a)

**Question:** Let E = {1,2,3,4} and F = {1,2} . Then the number of onto functions from E to F is

(a) 14

(b) 16

(c) 12

(d) 8

Ans:- (a)

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**Question:** If *A* is the set of even natural numbers less than 8 and *B* is the set of prime numbers less than 7, then the number of relations from *A* to *B* is

(a) 2^{9}

(b) 9^{2}

(c) 3^{2}

(d) 2^{9 – 1
}Ans:- (a)

To download JCECE Maths Practice Paper (PDF File) use below link all 34 questions

https://www.examsegg.com/downloads/jcece-objective-mathematics-questions.pdf