If f : R → R is defined&n

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 Multiple Choice QuestionsMatch The Following

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81.

If f : R  R is defined byfx = x + 4    for      x < - 43x + 2  for - 4  x < 4x - 4    for      x  4

then the correct matching of List-I from List-II is :

        List-I                      list-II

(A)  f(- 5) + f(- 4)     (i)    14

(B)  ff- 8           (ii)     4

(C)  ff- 7 + f3    (iii)    - 11

(D)  f(f(f(f(0)))) + 1 (iv)    1

                              (v)     0

A. A B C D (i) (iii) (vi) (ii) (v)
B. A B C D (ii) (iii) (iv) (ii) (v)
C. A B C D (iii) (iv) (iii) (ii) (i)
D. A B C D (iv) (iii) (vi) (v) (ii)


A.

A B C D

(i)

B.

A B C D

(ii)

C.

A B C D

(iii)

D.

A B C D

(iv)


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 Multiple Choice QuestionsMultiple Choice Questions

82.

If x = 2 + 32 - 3, then x2(x - 4)2 is equal to :

  • 7

  • 4

  • 2

  • 1


83.

12 - 68 + 482 is equal to

  • 2 - 3

  • 2 + 2

  • 2 - 2

  • 6 - 28


84.

For all integers n > 1, which of the following is divisible by 9 ?

  • 8n + 1

  • 4n - 3n - 1

  • 32n + 3n + 1

  • 10n + 1


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85.

If 3x + 2x + 12x2 + 3 = Ax + 1 + Bx + C2x2 +3, thenA + C - B is equal to :

  • 0

  • 2

  • 3

  • 5


86.
  • x  - 32, 14

  • x  - 34, 14

  • x  - 34, 12

  • x < 14


87.

elogcos(h)- 12 is equal to

  • log2 - 3 

  • log3 - 2

  • log2 + 3

  • log2 + 5


88.

If R R and is defined by fx = 12 - cos3xfpr each x  R, then the range of f is

  • 13,  - 1

  • 13, 1

  • (1, 2)

  • 1, 2


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89.

If : R  R and g : R  R are defined by f(x) = x - [x] and g(x) = [x] for x  R, where[x] is the greatest integer not exceeding x, then for every x  R, f(g(x)) is equal to

  • x

  • 0

  • f(x)

  • g(x)


90.

2+ 5 - 6 - 35 + 14 - 65  = ?

  • 1

  • 2

  • 3

  • 4


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