# Mathematics Objective Questions for Competitive Exams Paper 19

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Q-1. If 1. are the cube root of unity, then is equal to

(a) 1

(b)

(c)

(d) none of these

Q-2. is equal to

(a)

(b)

(c)

(d)

Q-3. The expression is equal to

(a)

(b)

(c)

(d) none of these

Q-4.

(a)

(b)

(c) |

(d)

Q-5. The number of real solution of

(a) 1

(b) 2

(c) 3

(d) 4

Q-6. If the roots of the equation, are of the form , then value of is

(a) 1, -27

(b) -1,27

(c) -1, -27

(d) 1,27

Q-7. If the root of the equation are negative of each other, then

(a)

(b)

(c)

(d)

Q-8.

(a) an odd integer devisable by 5

(b) an even integer

(c) multiple of 10

(d) an odd integer but not a multiple of 5

Q-9. If a, b, c, d, are in G. P. , then equals

(a)

(b)

(c)

(d)

Q-10. If pth term of an AP is q and qth term is P, then its rth term is

(a)

(b)

(c)

(d)

Q-11. If then the value of x is

(a) 2 or 6

(b) 2 or 11

(c) 7 or 11

(d) 6 or 7

Q-12. The value of expression

is equal to

(a)

(b)

(c)

(d)

Q-13. A box contain two white balls, three black balls and four red balls. The number of ways in which three balls can be drawn from the box so that one of the balls is black is

(a) 84

(b) 74

(c) 64

(d) 20

Q-14. A coin with tail on both sides is tossed twice. The probability of getting a “head” is

(a)

(b)

(c) 0

(d)

Q-15. The chance that an event “occur” or does not occur is

(a) 0

(b) 1

(c)

(d) none of these

Q-16. If

(a) 30

(b) 31

(c) 32

(d) 0

Q-17. If 2^{nd}, 3^{rd}, and 4^{th} terms is the expansion of are 240,720 and 1080 respectively, then the value of r is

(a) 20

(b) 15

(c) 10

(d) 1.5

Q-18. if the first three terms in the expansion of are 729,7290, and 30375 respectively, then the value of n is

(a) a

(b) 6

(c) 8

(d) none of these

Q-19. if a, b, c, are in A. P. , then is equal to

(a) 0

(b)

(c) 3

(d) none of these

Q-20. =

(a) 0

(b) 1

(c) -1

(d) none of these

Q-21. then

(a) 0

(b) 1

(c) -1

(d) none of these

Q-22. The determinant is

(a) 0

(b) a perfect square

(c) a perfect cube

(d) none of these

Q-23. if tan and tan then a value of is

(a)

(b)

(c)

(d) none of these

Q-24. The maximum value of in the interval is attained at x =

(a)

(b)

(c)

(d)

Q-25. is equal to

(a)

(b) 2

(c) 0

(d)

Q-26. The value of is

(a)

(b)

(c)

(d)

Q-27. Value of is equal to

(a) 1

(b) 2

(c) 3

(d) 4

Q-28. The range of the function is

(a) R

(b)

(c) [) - {1}

(d) none of these

Q-29. Range of the function is

(a) [)

(b) [)

(c) (-)

(d) none of these

Q-30. Range of the function

(a)

(b) [)

(c)

(d) none of these

Q-31. Domain of the function is

(a)

(b)

(c)

(d) none of these

Q-32. The function has

(a) Two maxima

(b) Two minima

(c) One maximum and one minimum

(d) Two maxima and no minima

Q-33. If then equal to

(a)

(b)

(c)

(d) none of these

Q-34. is equal to

(a) 0

(b) 1

(c) does not exit

(d) none of these

Q-35. Let then

(a) f if only right continuous at

(b) f is only left continuous at

(c) f is continuous at

(d) f is not continuous at

Q-36.

(a) b-a

(b) a-b

(c) a + b

(d) | b|-| a|

Q-37. is equal to

(a)

(b)

(c)

(d)

Q-38. The general solution of differential equation is

(a)

(b)

(c)

(d)

Q-39. is equal to

(a)

(b)

(c)

(d)

Q-40. The general solution of the differential equation is

(a)

(b)

(c)

(d)

Q-41. is equal to

(a)

(b) log 2

(c) 0

(d) 1

Q-42. The volume of parallelepiped whose continuous edges are then in equal to

(a) 3

(b) -3

(c) 2

(d) -2

Q-43. The vectors and

(a)

(b)

(c)

(d)

Q-44. If are any three non-coplanar vectors, then is equal to

(a) 2

(b) 0

(c) 1

(d) none of these

Q-45. The magnitude length of the projection of the vectors on the vector is

(a) 3

(b)

(c)

(4)