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 *Â is

(a) *n*

(b) n^{2}

(c) 2^{n}

(d) 2n

Ans:- (c)

**Ques. **If a, b are the real roots of x^{2} + px + 1 = 0 and c, d are the real roots of x^{2} + qx + 1 = 0 then (a â€“c) (b â€“c) (a + d) (b + d) is divisible by

(a) a â€“ b â€“ c â€“ d

(b) a + b + c â€“d

(c) a + b + c + d

(d) a â€“b â€“ c â€“ d

Ans. (c)

**Related:** Ohm law question

**Ques.** If (1+i/1â€“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} â€“ x â€“ 6| = x + 2, then the values of *x* are

(a) â€“ 2, 2, â€“ 4

(b) â€“ 2, 2, 4

(c) 3, 2, â€“ 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. **The area bounded by y = x e^{|x|} and lines |x| = 1, y = 0 is

(a) 4

(b) 6

(c) 1

(d) 2

Ans. (d)

**Ques.** In how many ways a team of 10 players out of 22 players can be made if 6 particular players are always to be included and 4 particular players are always excluded

(a) ^{22}C_{10}

(b)Â ^{18}C_{3
}(c)Â ^{12}C_{4}

(d)Â ^{18}C_{4
}**Ans.** (c)

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

(a) 1

(b) 0

(c) â€“1

(d) 2

Ans:- (b)

**Ques. **The equation of one of the bisector planes of an angle between the planes 2x â€“ 3y + 6z + 8 = 0 and x â€“ 2y + 2z + 5 = 0 is

(a) x + 5y + 4z + 11 = 0

(b) x â€“ 5y â€“ 4z + 11 = 0

(c) 13x + 23y + 32z â€“ 59 = 0

(d) none of these

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)

i am unable to find topicwise questions them can you please help