IIT2006 QN

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

5 Answers

1
AARTHI ·

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

1
AARTHI ·

ans is C)225

13
Двҥїяuρ now in medical c ·

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

1
AARTHI ·

gr8 yaar abhirup...tx..a ton

13
Двҥїяuρ now in medical c ·

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