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यदि P(x) को (x−2) से भाग देने पर शेष 5 तथा (x−3) से भाग देने पर शेष 7 प्राप्त होता है, तो P(x) को (x−2)(x−3) से भाग देने पर शेषफल क्या होगा?
यदि x + 1/x = 3 है, तो x⁷ + 1/x⁷ ज्ञात कीजिए।
यदि f(f(x)) = 4x + 3 तथा f(x) = ax + b है, तो a + b का मान क्या है?
N ≡ 1 (mod 4), N ≡ 2 (mod 5), N ≡ 3 (mod 7) को संतुष्ट करने वाली सबसे छोटी धनात्मक संख्या क्या है?
100! में अंतिम शून्यों की संख्या कितनी है?
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