(1) Let z = (√(3+4i)) + (√(−3−4i)) , where
square root is taken with positive
real part. Then Re(z) is _
(a)3 (b) 4 (c) 2 (d) 1
(2)Suppose a,b,c are in AP and a^2 ,b^2 ,c^2
are in GP. If a<b<c and a+b+c=(3/2),
then a = _
(a) (1/(2(√2))) (b) (1/(2(√3))) (c) (((√3)−2)/(2(√3))) (d) (((√2)−2)/(2(√2)))
(3)A man sent 7 letters to his 7 friend
. The letters are kept in addressed
envelopes at random. The probability
that 3 friend receive correct letters
and 4 letters go to wrong destination
is _
(a) (1/8) (b) (1/(16)) (c) (3/(32)) (d) (5/(64))
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