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CSE - Questions and solutions set-9

Computer science and engineering(CSE) - Question & solution set-9
Question:-
Option (A)
        0
Option (B)
        1
Option (C)
        2
Option (D)
        M
Correct Option:
C
Question Solution:
In the given matrix determinant of sub-matrix = zero
        Except the single sub-matrix [1]
Question:-
Option (A)
        0.1394
Option (B)
        0.1395
Option (C)
        0.1399
Option (D)
        None of these
Correct Option:
D
Question Solution:
Let f(x) = x2 - 3x + 0.4
        f(0) = (0)2 - 3(0) + 0.4 = 0 - 0 + 0.4 = 0.4
        f(1) = (1)2 - 3(1) + 0.4 = 1 - 3 + 0.4 = -1.6
        So the root lies between the 0 and 1
        f' (x) = 2x - 3
        Let x0 = 0.4
        f(0.4) = (0.4)2 - 3(0.4) + 0.4 = -0.64
        f '(0.4) = 2(0.4) - 3 = -2.2
        Now x1 = = = 0.110
         f(0.110) = (0.110)2 -3(0.110) + 0.4 =0.082
        f '(0.110) = 2(0.110) -3 = -2.78
        x2 = x1 - = 0.110 - = 0.110 + 0.029
        x2 = 0.139
        f'(0.139) = 2(0.139) -3 = -2.722
        x3 =
        =
        = 0.139 + 0.0007= 0.1397
        For the given expression root is 0.1397.
Question:-
Option (A)
            6
Option (B)
            0
Option (C)
            7
Option (D)
            1
Correct Option:
C
Question Solution:
Cardinality means the number of elements in a set.
Question:-
Option (A)
        Summer follows spring.
Option (B)
        A quarter is a coin
Option (C)
        There are 360 days in a year
Option (D)
        All of the above
Correct Option:
D