BITSAT Exam Papers

Hi buddy here I am looking for BITSAT Exam Papers, asi have filled form to appear in this exam , so can any one provide me same ?

[sumit]

As you said have filled form for write BITSAT Exam and for its preparation of it looking for paper , so on your demand I am providing same:

Mathematics

1. If α, β are the roots of ax2 + bx + c = 0 then (-1/α), (-1/β) are the roots of

(a) ax2 – bx + c = 0
(b) cx2 – bx + a = 0
(c) cx2 + bx + a = 0
(d) ax2 – bx – c = 0

2. The number of real roots of the equation

(x – 1)2 + (x – 2)2 + (x – 3)2 = 0 is

(a) 1
(b) 2
(c) 3
(d) None of these

3. If S is the set containing values of x satisfying [x]2 – 5[x] + 6 ≤ 0 , where [x] denotes GIF then S contains

(a) (2, 4)
(b) (2, 4]
(c) [2, 3]
(d) [2, 4)

4. Seven people are seated in a circle. How many relative arrangements are possible?

(a) 7!
(b) 6!
(c) 7P6
(d) 7C6



5. In how many ways can 4 people be seated on a square table, one on each side?

(a) 4!
(b) 3!
(c) 1
(d) None of these

6. Four different items have to be placed in three different boxes. In how many ways can it be done such that any box can have any number of items?

(a) 34
(b) 43
(c) 4P3
(d) 4C3

7. What is the probability that, if a number is randomly chosen from any 31 consecutive natural numbers, it is divisible by 5?

(a) (6/31)
(b) (7/31)
(c) (6/31) or (7/31)
(d) None of these

8. The mean of a binomial distribution is 5, then its variance has to be

(a) > 5
(b) = 5
(c) < 5
(d) = 25

9. If a is the single A.M. between two numbers a and b and S is the sum of n A.M ‘s between them, then S/A depends upon

(a) n, a, b
(b) n, a
(c) n, b
(d) n

10. 21/4 41/8 81/16 161/32 .. upto ∞ equal to

(a) 1
(b) 2
(c) 3/2
(d) 5/2

11. The odds in favour of India winning any cricket match is 2 : 3. What is the probability that if India plays 5 matches, it wins exactly 3 of them?



12. For an A.P., S2n = 3 Sn. The value of (S3n/Sn) is equal to

(a) 4
(b) 6
(c) 8
(d) 10

13. 1 + sin x + sin2 x + sin 3 x + … = 4 + 2√3, 0 < x < π, x ≠ π/2 then x =

(a) (π/6, π/3)
(b) (π/6, 5π/6)
(c) (π/3, 2π/3)
(d) (π/3, 5π/6)

14.

(a) x2
(b) x
(c) loge(1 + x)
(d) loge x2

15. The ends of a line segment are P(1, 3) and Q(1, 1). R is a point on the line segment PO such that PR : QR = 1 : λ. If R is an interior point of the parabola y2 = 4x, then

(a) λ ∈ (0, 1)
(b) λ ∈ (-3/5, 1)
(c) λ ∈ (-1/2, -3/5)
(d) None of these

16. Set of values for which is true is

(a) φ
(b) nπ + (π/4), n ∈ Z
(c) (π/4)
(d) 2nπ + π/4, n ∈ Z

17. The distance between the lines 3x + 4y = 9 and 6x + 8y + 15 = 0 is

(a) 3/10
(b) 33/10
(c) 33/5
(d) None of these

18. Let A = (3, -4), B(1, 2) and P = (2k – 1, 2k + 1) is a variable point such that PA + PB is the minimum. Then k is

(a) 7/9
(b) 0
(c) 7/8
(d) None of these

19. The length of the y-intercept made by the circle x2 + y2 – 4x 6y – 5 = 0 is

(a) 6
(b) √14
(c) 2√14
(0 3

20. If x + y = k is normal to y2 =12x, then k =

(a) 3
(b) 6
(c) 9
(d) None of these

21. The number of values of c such that the straight line y = 4x + c touches the curve (x2/4 + y2 = 1)

(a) 1
(b) 1
(c) 2
(d) infinite

22.

(a) 0
(b) √2
(c) 1/2
(d) 1/√2

23. Locus of the point z satisfying Re (i/z) = k is a non-zero real number, is

(a) a straight line
(b) a circle
(c) an ellipse
(d) a hyperbola

24. The points of z satisfying arg lies on

(a) an arc of a circle
(b) a parabola
(c) an ellipse
(d) a straight line

25. The coefficients of the (3r)th term and the (r + 2)th term in the expansion (1 + x)2n are equal, then

(a) n = 2r
(b) n = 3r
(c) n = 2r + 1
(d) None of these

26.

(a) 2e
(b) e
(c) e – 1
(d) 3e

27. If a = 13, b = 12, c = 5 in ∠ABC, then sin(A/2) =

(a) (1/√5)
(b) (2/3)
(c) √(32/35)
(d) (1/√2)

28. 2tan-1 (3/4)

(a) sin-1(24/25)
(b) sin-1(12/13)
(c) cos-1(24/25)
(d) cos-1(12/13)

29. Two pairs of straight lines have the equations y2 + xy – 12x2 = 0 and ax2 + 2hxy + by2 = 0. One line will be common among them if

(a) a = -3(2h + 3b)
(b) a = 8(h – 2b)
(c) a = 2 (b + h)
(d) Both (a) and (b)

30. If a circle passes through the point (3, 4) and cuts x2 + y2 = 9 orthogonally, then the locus of its centre is 3x + 4y = λ X. Then λ =

(a) 11
(b) 13
(c) 17
(d) 23

31. For what value of x, the matrix A is singular



(a) x = 0, 2
(b) x = 1, 2
(c) x = 2, 3
(d) x = 0, 3

32. 1f 7 and 2 are two roots of the following equation then its third root will be

(a) -9
(b) 14
(c) 1/2
(d) None of these

33. Period of f(x) = sin4 x cos4 x

(a) π
(b) π/2
(c) 2π
(d) None of these

34. The range Of loge (sin x)

(a) (- ∞, ∞)
(b) (- ∞, 1)
(c) (- ∞, 0]
(d) (- ∞, 0)

35.

(a) (1/8)
(b) (-1/8)
(c) (2/3)
(d) (3/2)

36. Let y = log sin(x2), 0 < x ≤ π/2;. The value of (dy/dx) at x = (√π/2) is

(a) 0
(b) 1
(c) (π/-4)
(d)√π

37. For the curve x = t2 – 1, y = t2 – t tangent is parallel to x-axis where

(a) t = 0
(b) t = (1/√3)
(c) t = 1/2
(d) t = (-1/√3)

38. f(x) = x3 – 6x2 + 12x – 16 is strictly decreasing for

(a) x ∈ R
(b) X ∈ R – {1}
(c) x ∈ R+
(d) x ∈ (φ)

39. The value of b for which the function f(x) = sinx – bx + c is a strictly decreasing function ∀ x ∈ R is

(a) b ∈ (-1, 1)
(b) b ∈ (-α, 1)
(c) b ∈ (1, α)
(d) b ∈ [1, α)

40. Maximum value of the expression 2 sinx + 4 cosx + 3 is

(a) 2√5 + 3
(b) √5 – 3
(C) √5 + 3
(d) None of these

41. If sin θ = 3 sin(θ + 2 α) , then the value of tan(θ + α)+ 2 tanα is

(a) 3
(b) 2
(c) 1
(d) 0

42.

(a) 10
(b) (1/10)
(c) 1
(d) -1

43. If √1 + x2 + √1 + y2 = a then find (dy/dx) =



44. Length of the subtangent to the curve y = ex/a is

(a) ex/a
(b) a
(c) 2/a
(d) None of these

45. The value of c of mean value theorem when f(x) = x3 – 3x – 2 in [-2, 3] is

(a) (√7/3)
(b) (√3/7)
(c) (√7/3)
(d) (√3/7)