Mathematics Objective Questions Paper 19

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

(a) 1

(b) Equation

(c) Equation

(d) none of these

Q-2. Equation is equal to

(a) Equation

(b) Equation

(c) Equation

(d) Equation

Q-3. The expression Equation is equal to

(a) Equation

(b) Equation

(c) Equation

(d) none of these

Q-4. Equation

(a) Equation

(b) Equation

(c) | Equation

(d) Equation

Q-5. The number of real solution of Equation

(a) 1

(b) 2

(c) 3

(d) 4

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

(a) 1, -27

(b) -1, 27

(c) -1,-27

(d) 1,27

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

(a) Equation

(b) Equation

(c) Equation

(d) Equation

Q-8. Equation

(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 Equation equals

(a) Equation

(b) Equation

(c) Equation

(d) Equation

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

(a) Equation

(b) Equation

(c) Equation

(d) Equation

Q-11. If Equation 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

Equation

is equal to

(a) Equation

(b) Equation

(c) Equation

(d) Equation

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) Equation

(b) Equation

(c) 0

(d) Equation

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

(a) 0

(b) 1

(c) Equation

(d) none of these

Q-16. If Equation

(a) 30

(b) 31

(c) 32

(d) 0

Q-17. If 2nd, 3rd, and 4th terms is the expansion of Equation 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 Equation 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 Equation is equal to

(a) 0

(b) Equation

(c) 3

(d) none of these

Q-20. Equation =

(a) 0

(b) 1

(c) -1

(d) none of these

Q-21. Equation then Equation

(a) 0

(b) 1

(c) -1

(d) none of these

Q-22. The determinant Equation is

(a) 0

(b) a perfect square

(c) a perfect cube

(d) none of these

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

(a) Equation

(b) Equation

(c) Equation

(d) none of these

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

(a) Equation

(b) Equation

(c) Equation

(d) Equation

Q-25. Equation is equal to

(a) Equation

(b) 2

(c) 0

(d) Equation

Q-26. The value of Equation is

(a) Equation

(b) Equation

(c) Equation

(d) Equation

Q-27. Value of Equation is equal to

(a) 1

(b) 2

(c) 3

(d) 4

Q-28. The range of the function Equation is

(a) R

(b) Equation

(c) [ Equation )-{1}

(d) none of these

Q-29. Range of the function Equation is

(a) Equation

(b) Equation

(c) (- Equation )

(d) none of these

Q-30. Range of the function Equation

(a) Equation

(b) Equation

(c) Equation

(d) none of these

Q-31. Domain of the function Equation is

(a) Equation

(b) Equation

(c) Equation

(d) none of these

Q-32. The function Equation has

(a) Two maxima

(b) Two minima

(c) One maximum and one minimum

(d) Two maxima and no minima

Q-33. If Equation then Equation equal to

(a) Equation

(b) Equation

(c) Equation

(d) none of these

Q-34. Equation is equal to

(a) 0

(b) 1

(c) does not exit

(d) none of these

Q-35. Let Equation ’ then

(a) f if only right continuous at Equation

(b) f is only left continuous at Equation

(c) f is continuous at Equation

(d) f is not continuous at Equation

Q-36. Equation

(a) b-a

(b) a-b

(c) a+b

(d) |b|-|a|

Q-37. Equation is equal to

(a) Equation

(b) Equation

(c) Equation

(d) Equation

Q-38. The general solution of differential equation Equation is

(a) Equation

(b) Equation

(c) Equation

(d) Equation

Q-39. Equation is equal to

(a) Equation

(b) Equation

(c) Equation

(d) Equation

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

(a) Equation

(b) Equation

(c) Equation

(d) Equation

Q-41. Equation is equal to

(a) Equation

(b) log 2

(c) 0

(d) 1

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

(a) 3

(b) -3

(c) 2

(d) -2

Q-43. The vectors Equation and Equation

(a) Equation

(b) Equation

(c) Equation

(d) Equation

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

(a) 2

(b) 0

(c) 1

(d) none of these

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

(a) 3

(b) Equation

(c) Equation

(4) Equation