Let R be a relation on the set N of natural numbers defined by 'nRm n is a factor of m'. Then which one of the following is correct ?
R is reflexive, symmetric but not transitive
R is transitive, symmetric but not reflexive
R is reflexive, transitive but not symmetric
R is an equivalence relation
Let R be a relation from A = {1, 2, 3, 4} to B = {1, 3, 5} such that R = {(a, b) : a < b, where a A and b B}. What is RoR' equal to ?
{(1, 3), (1, 5), (2, 3), (2, 5), (3, 5), (4, 5)}
{(3, 1), (5, 1), (3, 2), (5, 2), (5, 3), (5, 4)}
{(3, 3), (3, 5), (5, 3), (5, 5)}
{(3, 3), (3, 4), (4, 5)}
A five-digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3 and 4 without repetition of digits. What is the number of ways this can be done ?
96
48
32
No number can be formed
If the number 235 in decimal system is converted into binary system, then what is the resulting number ?
(11110011)2
(11101011)2
(11110101)2
(11011011)2
For 10 observations on price (x) and supply (y), the following data was obtained:
x = 130, y = 220, = 2288, y2 = 5506 and xy = 3467. What is the line of regression of y on x ?
y = 0.91x + 8.74
y = 1.02x + 8.74
y = 1.02x - 7.02
y = 0.91x - 7.02
Let f(x) = [x], where [.] is the greatest integer function and g(x) = sin(x) be two real valued functions over
Which one of the following statements is correct ?
Letf(x) = [x], where [.] is the greatest integer function and g(X) = sin(x) be two real valued functions over R.
Which of the following statements are correct ?
1. (fof) (x) = f (x).
2. (gog)(x) = g(x) only when x = 0.
3.(go(fog))(x) can take only three values.
Select the correct answer using the code given below :
1 and 2 only
2 and 3 only
1 and 3 only
1, 2 and 3
A binary number is represented by (cdccddcccddd)2, where c > d What is its decimal equivalent ?
1848
2048
2842
2872
For the variables x and y, the two regression lines are 6x + y = 30 and 3x + 2y = 25. What are the values of and r respectively ?