Copy Set-1 CP Star-2012 XII going [SAT+MAT] - Career Point

Q.73 The probability that a married man watches a
certain TV show is 0.4 and the probability that a
married woman watches the show is 0.5. The
probability that a man watches the show, given
that his wife does, is 0.7. Then -
(1) the probability that married couple watches
the show is 0.35
(2) the probability that a wife watches the show
given that her husband does is 7/8
(3) the probability that atleast one person of a
married couple will watch the show is 0.55
(4) none of these
Q.73 ,d fookfgr O;fDr ds }kjk ,d fuf'pr TV 'kks
ns[kus dh izkf;drk 0.4 gS rFkk fookfgr efgyk ds
}kjk 'kks ns[kus dh izkf;drk 0.5 gSA O;fDr ds }kjk
'kks ns[kus dh izkf;drk] fn;k x;k gS fd mldh iRuh
ns[krh gS] 0.7 gS] rc -
(1) fookfgr tksM+s ds }kjk 'kks ns[kus dh izkf;drk
0.35 gSA
(2) iRuh ds }kjk 'kks ns[kus dh izkf;drk] fn;k x;k
gS] fd mldk ifr ns[krk gS] 7/8 gSA
(3) ,d fookfgr tksM+s esa ls de ls de ,d lnL;
ds }kjk 'kks ns[kus dh izkf;drk 0.55 gSA
(4) buesa ls dksbZ ugha
Q.74 If P, Q, R are subsets of set A then R × (P c ∪ Q c ) c
is -
(1) (R × P) ∩ (R × Q)
(2) (R × Q) ∩ (R × P)
(3) (R × P) ∪ (R × Q)
(4) R × (P ∩ Q)
Q.75 If z 1 and z 2 are two complex numbers such that
|z 1 + z 2 | 2 = |z 1 | 2 + |z 2 | 2 , then
(1) z 1 z 2
is purely imaginary
(2) z 1 / z 2
is purely imaginary
(3) z 1 z 2
+ z 1 z 2
= 0
(4) O, z 1 , z 2 are vertices of a right triangle
Q.74 ;fn P, Q, R leqPp; A ds mileqPp; gS] rc
R × (P c ∪ Q c ) c cjkcj gS -
(1) (R × P) ∩ (R × Q)
(2) (R × Q) ∩ (R × P)
(3) (R × P) ∪ (R × Q)
(4) R × (P ∩ Q)
Q.75 ;fn z 1 ,oa z 2 nks lfEeJ la[;k,sa bl izdkj gS fd
|z 1 + z 2 | 2 = |z 1 | 2 + |z 2 | 2 , rc
(1) z 1 z 2
fo'kq) dkYifud gSA
(2) z 1 / z 2
fo'kq) dkYifud gSA
(3) z 1 z 2
+ z 1 z 2
= 0
(4) O, z 1 , z 2 ledks.k f=kHkqt ds 'kh"kZ gSA
Space for rough work
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