VITEEE Maths Sample Paper for Practice

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) n2
(c) 2n
(d) 2n
Ans:- (c)

Ques. If a, b are the real roots of x2 + px + 1 = 0 and c, d are the real roots of x2 + qx + 1 = 0 then (a –c) (b –c) (a + d) (b + d) is divisible by
(a) a – b – c – d
(b) a + b + c –d
(c) a + b + c + d
(d) a –b – c – d
Ans. (c)

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Ques. If (1+i/1–i)x = 1, then
(a) x = 4n, where n is any positive integer
(b) x = 2n, where n is any positive integer
(c) x = 4n + 1, where n is any positive integer
(d) x = 2n + 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 5W and 3W 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 |x2 – 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/sec2 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) 22C10
(b) 18C3
(c) 12C4
(d) 18C4
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 yn = an – 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 – ab for all a, b in Q1, then the identity in Q1 w.r.t. * is
(a) 1
(b) 0
(c) –1
(d) 2
Ans:- (b)

Ques. The equation of one of the bisector planes of an angle between the planes 2x – 3y + 6z + 8 = 0 and x – 2y + 2z + 5 = 0 is
(a) x + 5y + 4z + 11 = 0
(b) x – 5y – 4z + 11 = 0
(c) 13x + 23y + 32z – 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)

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