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CSE - Questions and solutions set-11

Computer science and engineering(CSE) - Question & solution set-11
Question:-
Option (A)
        12
Option (B)
        2
Option (C)
        6
Option (D)
        8
Correct Option:
A
Question Solution:
Each die face can come up with a head or a tail. The number of possible outcomes is therefore 6 + 6 = 12
        
Question:-
Option (A)
        240, 60
Option (B)
        60, 45
Option (C)
        60, 60
Option (D)
        240, 32
        
Correct Option:
B
Question Solution:
Let matrix A is of order m x n
        Let matrix B is of order n x p
        For matrix product AB,
        The number of addition operations = mp (n - 1)
        Here m = 3, n = 4, p = 5
        
Question:-
Option (A)
        0.076
Option (B)
        0.062
Option (C)
        0.072
Option (D)
        None of these
Correct Option:
A
Question Solution:
Root lies between the 0 and 1
        f' (x) = 2x - 4
        Let x0 = 0.3
        f(0.3) = (0.3)2 - 4(0.3) + 0.3 = -0.81
        f'(0.3) = 2(0.3) - 4 = -3.4
        Now x1 = = 0.3 - 0.238= 0.062
         f(0.062) = (0.062)2 - 4(0.062) + 0.3 =0.055
        f' (0.062) = 2(0.062) - 4 = -3.876
        x2 = =
        f(0.076) = (0.076)2 - 4(0.076) + 0.3 = 0.001
        f'(0.076) = 2(0.076) - 4 = -3.848
        x3 = =
        For the given expression root is 0.076.
        
Question:-
Option (A)
        only S1
Option (B)
        only S2
Option (C)
        Both S1 and S2
Option (D)
        None of these
Correct Option:
B
Question Solution:
Counter example: R = {(a, b) (a, c)}. The transitive closure of the symmetric closure of R is {(a, b) (a, c) (b, a) (b, c) (c, a) (c, b)}. The symmetric closure of the transitive closure of this relation is {a, b) (a, c) (b, a) (c, a)}