Which one of the following functions is neither even nor odd ? f

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

31.

Let f : [- 6, 6]  R be defined by f(x) = x2 - 3.

Consider the following :

I. (f o f o f)( - 1) = (f o f o f)(1)

2. (f o f o f)( - 1) - 4(f o f o f)(1) = (f o f)(0)

Which of the above is/are correct ?

  • 1 only

  • 2 only

  • both 1 and 2

  • neither 1 nor 2


32.

Let f(x) = px + q and g(x) = mx + n. Then f(g(x)) = g(f(x)) is equivalent to

  • f(p) = g(m)

  • f(q) = g(n)

  • f(n) = g(q)

  • f(m) = g(p)


33.

Let fa = a - 1a + 1

Consider the following :

1. f2a = fa + 12. f1a = - fa

Which of the above is/are correct ?

  • 1 only

  • 2 only

  • both 1 and 2

  • beither 1 nor 2


Advertisement

34.

Which one of the following functions is neither even nor odd ?

  • x2 - 1

  • x + 3x

  • x

  • x2(x - 3)


B.

x + 3x

We Know, the formula for a given function to determine if the function is even, odd or neither.

    1. If the function satisfies It is even.
    2. If the function satisfies  It is odd.
    3. If the function does not satisfy either rule, it is neither even nor odd.

Thus, x + 3x is neither even nor odd.


Advertisement
Advertisement
35.

The remainder and the quotient of the binary division (101110)2 : (110)2, are respectively :

  • 1112 and 1002

  • 1002 and 1112

  • 1012 and 1012

  • 1002 and 1002


36.

If we define a relation R on the set N x N as (a, b) R(c, d)  a + d = b + c for all (a, b), (c, d)  N x N, then the relation is :

  • symmetric only

  • symmetric and transitive only

  • equivalence relation

  • reflexive only


37.

The inverse of the function y - 5ln(x) is :

  • x = y1ln5, y > 0

  • x = yln5, y > 0

  • x = y1ln5, y< 0

  • x = 5lny, y > 0


38.

A function is defined in (0, ) by : 

fx = 1 - x2                   for 0< x  1lnx                       for 1 < x  2ln2 - 1 + 0.5x for 2 < x < 

Which one of the following is correct in respect of the derivative of the function, i.e., f'(x) ?

  • f'(x) = 2x for 0 < x  1

  • f'(x) = - 2x for 0 < x  1

  • f'x = - 2x for 0 < x 1

  • f'x = 0 for 0 < x < 


Advertisement
39.

The function f (x) = x - x3 is : 

  • odd

  • even

  • both even and odd

  • neither even nor odd


40.

The maximum value of lnxx is :

  • e

  • 1e

  • 2e

  • 1


Advertisement