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  1. If q–a = 1 /r and r–b = 1 /s and s–c = 1 /q of abc is. the value of abc is _______ .
    1. (rps)–1
    2. 0
    3. 1
    4. r + q + s
Correct Option: C

q-a =
1
1
=
1
⇒ qa = r
rqar

r-b =
1
1
=
1
⇒ s = rb
qrcs

r-c =
1
1
=
1
⇒ sc = q
qscq

qa=r⇒(sc)a =r⇒ sac = r
(sac)b=s⇒sabc=s¹
∴ abc = 1
∴ Option (c) is correct



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