IIT2006 QN

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if r,s t are prime nos. and p,q,r are +ve integers such dat LCM of p,q is r²t⁴s² then the no. of ordered pairs (p,q) is.....patha nahin...y nothin strikes my big head

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AARTHI ·2009-03-26 23:47:30

options...are a)252 b)254 c)225 d)224

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AARTHI ·2009-03-26 23:48:26

ans is C)225

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Ð”Ð²Ò¥Ñ—ÑuÏ now in medical c ·2009-03-26 23:54:07

yup it is 225

no. of ways p and q has r as a factor giving r² as LCM

p having no r as factor
q having r² as factor

p---->r
q----->r²

p----->r²
q----->r

p------>r²
q----->r

p------>r²
q----->r²

total 5 ways

simillarly for s we have 5 ways

for t
p q
no t t⁴
t t⁴
t² t⁴
t³ t⁴
t⁴ t⁰,t,t²,t³t⁴

9 ways

total 5*5*9=225

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AARTHI ·2009-03-27 04:26:03

gr8 yaar abhirup...tx..a ton

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Ð”Ð²Ò¥Ñ—ÑuÏ now in medical c ·2009-03-27 04:28:22

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Basic Integral Calculus Operators Symbols Matrix Cases

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° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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IIT2006 QN

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