This VIT Engineering Entrance Exam Maths Practice question paper is based on VITEEE Maths syllabus and consist 34 questions.

**Ques.** If a set *A *has *n *elements, then the total number of subsets of *A * is

(a) *n*

(b) n^{2}

(c) 2^{n}

(d) 2n

Ans:- (c)

**Ques.** 150 workers were engaged to finish a piece of work in a certain number of days. 4 workers dropped the second day, 4 more workers dropped the third day and so on. It takes eight more days to finish the work now. The number of days in which the work was completed is

(a) 15

(b) 20

(c) 25

(d) 30

Ans:- (c)

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**Ques.** The number log_{2} 7 is

(a) An integer

(b) A rational number

(c) An irrational number

(d) A prime number

Ans:- (c)

**Ques.** For the straight lines given by the equation (2 + k)x + (1 + k)y = 5 + 7k, for different values of *k* which of the following statements is true

(a) Lines are parallel

(b) Lines pass through the point (– 2, 9)

(c) Lines pass through the point (2, – 9)

(d) None of these

Ans:- (b)

**Ques.** If (1+i/1–i)^{x} = 1, then

(a) *x* = 4*n*, where *n* is any positive integer

(b) *x* = 2*n*, where *n* is any positive integer

(c) *x* = 4*n + *1, where *n* is any positive integer

(d) *x* = 2*n *+ 1, where *n* is any positive integer

Ans:- (a)

**Ques.** A light rod *AB* of length 30 *cm* rests on two pegs 15 *cm* apart. At what distance from the end *A* the pegs should be placed so that the reaction of pegs may be equal when weight 5*W* and 3*W* are suspended from *A* and *B* respectively

(a) 1.75 *cm*., 15.75 *cm*

(b) 2.75 *cm.*, 17.75 *cm*

(c) 3.75 *cm.*, 18.75 *cm*

(d) None of these

Ans:- (c)

**Ques.** If |x^{2} – x – 6| = x + 2, then the values of *x* are

(a) – 2, 2, – 4

(b) – 2, 2, 4

(c) 3, 2, – 2

(d) 4, 4, 3

Ans:- (b)

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**Ques.** A man in a balloon, rising vertically with an acceleration of 4.9 *m/sec*2 releases a ball 2 *seconds* after the balloon is let go from the ground. The greatest height above the ground reached by the ball is

(a) 14.7 *m*

(b) 19.6 *m*

(c) 9.8 *m*

(d) 24.5 *m*

Ans:- (a)

**Ques.** The number of ways in which five identical balls can be distributed among ten identical boxes such that no box contains more than one ball, is

(a) 10 !

(b) 10!/5!

(c) 10!/(5!)^{2}

(d) None of these

Ans:- (c)

**Ques.** A five digit number is formed by writing the digits 1, 2, 3, 4, 5 in a random order without repetitions. Then the probability that the number is divisible by 4 is

(a) 3/5

(b) 18/5

(c) 1/5

(d) 6/5

Ans:- (c)

**Ques.** Let *p* a non singular matrix 1 + p + p^{2} + … + p^{n} = O, then p^{–1} =

(*O* denotes the null matrix)

(a) p^{n
}(b) –p^{n
}(c) –(1 + p + … + p^{n})

(d) None of these

Ans:- (a)

**Ques.** The mean of 5 numbers is 18. If one number is excluded, their mean becomes 16. Then the excluded number is

(a) 18

(b) 25

(c) 26

(d) 30

Ans:- (c)

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**Ques.** The value of *k*, for which (cos x + sin x)^{2} + k sin x cos x – 1 = 0 is an identity, is

(a) – 1

(b) – 2

(c) 0

(d) 1

Ans:- (b)

**Ques.** Karl Pearson’s coefficient of correlation is dependent

(a) Only on the change of origin and not on the change of the scale

(b) Only on the change of scale and not on the change of origin

(c) On both the change of origin and the change of scale

(d) Neither on the change of scale nor on the change of origin

Ans:- (d)

**Ques.** For the curve y^{n} = a^{n – 1} x, the subnormal at any point is constant. The value of *n* must be

(a) 2

(b) 3

(c) 0

(d) 1

Ans:- (a)

**Ques.** The objective function for the above question is

(a) 10x + 14y

(b) 5x + 10y

(c) 3x + 5y

(d) 5y + 3x

Ans:- (c)

**Ques.** If is the set of all rational numbers other than 1 with the binary operation * defined by a * b = a + b – ab for all *a, b *in Q_{1}, then the identity in Q_{1} *w.r.t.* * is

(a) 1

(b) 0

(c) –1

(d) 2

Ans:- (b)

**Ques.** The decimal equivalent of the binary number (101101.10101)_{2} is

(a) (45.625)_{10}

(b) (45.065)_{10}

(c) (65.625)_{10}

(d) (45.65625)_{10
}Ans:- (d)

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https://www.examsegg.com/downloads/viteee-maths-sample-paper-for-practice.pdf (PDF File)

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