• #### INDIAN NAVY SAILORS Numerical Ability Study Material

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a) P = q
b) P = q , r = s
c) P = r , q = s
d) P = s , q = r

##### If I = , J = and B = , then B equals?

a) I sin θ + J cos θ
b) I cos θ - J sin θ
c) I cos θ + J sin θ
d) (-I cos θ + J sin θ)

a) 5/3
b) 3/5
c) 15
d) 8

##### If A and B are two matrices such that A + B and AB are both defined, then

a) Number of columns of A = Number of rows of B
b) A and B are square matrices of same order
c) A and B are two matrices not necessarily of same order
d) None of these

a)
b)
c)
d)

a)
b)
c)
d)

a) 0, 12, -12
b) 0, 5, -5
c) 0, 1, -1
d) 0, 4, -4

a) 0
b) 1
c) 2
d) 3

##### If A = diag (2, -1, 3), B = diag (-1, 3, 2), then (A2)B = ?

a) B
b) Diag (3, 1, 8)
c) Diag (-4, 3, 18)
d) Diag (5, 4, 11)

##### If A and B are square matrices of order 2, then (A + B)2 = ?

a) A2 + AB + BA + B2
b) A2 + 2BA + B2
c) A2 + 2AB + B2
d) A2 + BA + B2