1. The number of binary operations on the set {a, b} are

2. The period of the function f(x) = sin⁴ 3x + cos⁴ 3x is

3. If f(x) = log₃ x and A = (3, 27) then f(A) =

4. Let A = {-2, -1, 0} and f(x) = 2x – 3 then the range of f is

5. The function f(x) = sin (‎πx/2) + cos (πx/2) is periodic with period

6. A relation R is defined from the set of integers to the set of real numbers as (x, y) = R if x² + y² = 16 then the domain of R is

7.  The domain of the function f = {(1, 3), (3, 5), (2, 6)} is 

8. If A = [a, b], B = [c,d], C = [d, e] then {(a, c), (a, d), (a,e), (b,c), (b, d), (b, e)} is equal to

9. If f (0) = 0, f (1) = 1, f (2) = 2 and f (x) = f (x – 2) + f (x – 3) for x = 3, 4, 5,&.., then f(9) = 

10. The domain of the function f(x) = sin^-1 (tan x) is

11. The domain of tan^-1 (2x + 1) is

12. The point on the curve y = x² which is nearest to (3, 0) is

13. the function f(x) = x – [x] has period of

14.  Let A = {1, 2, 3} then total number of element in A x A is

15. The range of the function ^7-xP_x-3 is

16. If f is an even function and g is an odd function the fog is a/an

17. Let R be the set of real numbers. If f(x) = x² and g(x) = 2x + 1, then fog(x) is equal to

18. Let S = {1, 2, 3}. The function f : S → S defined as below have inverse for 

19. The domain of the function f(x) = 1/(x² – 3x + 2) is

20. If f(x) =(3x – 2)/(2x – 3) then the value of f(f(x)) is