If `( 1 - iota ) x + ( 1 + iota ) y = 1 - 3 iota `, then ( x ,y ) is equal to
( a )   ( 2 , -1 )   ( b )   ( -2 , 1 )   ( c )  ( -2 , -1 )  ( d )  ( 2, 1 )

If ( x + 3 , 4 + y ) = ( 1 , 7 ) then ( x - 3 , 4 - y ) is equal to ( A )   ( -2 , 3 )   ( B )   ( -5, 1 )   ( C )   ( 3, 4 )   ( D )   ( 1, 5 )  

If x ÷ 1 = 8 , then x is equal to ( a )   8   ( b )   1   ( c )   -8   ( d )   -1  

If y - 9 = ( - 4 ) , then y is equal to : ( a )   3   ( b )   4   ( c )   5   (d )   7  

If R = ( a^3 + 1 )/( a - 1 ) and S = ( a^2 - a + 1 )/ ( a + 1 ) , then R ÷ S is : ( a )   ( a - 1 ) / ( a + 1 )   ( b )  1 / ( a^2 + a + 1 )   ( c )  1   ( d )   ( a + 1 )^2 / ( a - 1 )

Find the value of ( 1+ 1/iota )^4 is : ( a )   0   ( b )  -4   ( c )   4   ( d )   3

Find the value of   [ ( x/y - 1 ) / ( 1 - x/y ) ] ( a )   0   ( b )   1   ( c )   -1   ( d )   x/y

If ( -6 ) ÷ x = 1 , then x is equal to (A)   -6   (B)   6   (C)   -1/6   (D)   7

Find the value of [ 8^(-4/3) ÷ 2^-2 ]^(1/2) ( a )  1/2   ( b )   2   ( c )   1/4   ( d )  4

If f(x) = { x , x ( 1 )  1   ( 2 )   4/3   ( 3 )   5/3   ( 4 )   5/2  

Find the value of the following : ( a )   ( 2/3 )^5   ( b )   ( 3/4 )^4   ( d )   ( -7/8 )^2   ( c ) ( -8/9 )^2