Latest Elitmus Aptitude Question SOLUTION: a b c r in gp and (loga *logb *logc)/6=6 find number of solution

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(#M40040355) ELITMUS Numerical Ability question inequality Keep an EYE

a b c r in gp and (loga *logb *logc)/6=6

find number of solution

Asked In Elitmus aquib aslam (9 years ago)

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kumar  (9 years ago)

que was a b c r in gp and (loga +logb +logc)/log6=6

a,b,c are in gp mean (b)^2=ac

log(abc)/log6=6
=>log(abc) base 6=6
=>abc=(6)^6
=>b^3=6^6 (since b^2=ac)
=>b=36
mean ac=36*36=2*2*3*3*2*2*3*3
possible combination
take a=1,b=36 ,c=36*36
take a=2 ,b=36,c=36*18
take a=3,b=36,c=36*12

like that total soln =1+3*3 =10 ,you can check one one ,and keep in mind that abc should be in gp and in increasing order acc to question.

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shivam asthana  (9 years ago)

log(a+ar+ar^2)=36
a+ar+ar^2=10^36
a(1+r+r^2)=10^36
infinite solution are possible
supose
a = (10^36)/7, than r=2
(10^36)/7 * 7 = 10^36
so acc. to me infinite combination are there

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shivam asthana  (9 years ago)

@aquib bhai ek to galat ques type krte ho aur dusre ko bolte ho........isiliye tumse elitmus nahi nikal rha h.......tumhare ques ke acc mera ans bilkul sahi h........agar tumme dimag h to check kr lo......sale ques to dang se yaad ni rakh skte to ans khakh nikaloge.......sahi ques upper likha h dekh lo......agr mind h to yaad aa jayega ......

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Rabindra Gupta  (9 years ago)

Ques was abc are in GP and logalogblogclog66then we hav to find the possible combination of ab and csolif ab and c are in GP means b2acnowlogabclog66logb3log66logblog62b6236now b2ac ie 362acie ac6262 ie comb1ac9242 ie comb3ac12232 ie comb3ac18222 ie comb3ac3621 ie comb3ie total no of combination13

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aquib aslam  (9 years ago)

bhai tum gandu ho jo ininite nikal rhe hao ye option me nahi tha please share the relevant ans

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aquib aslam  (9 years ago)

abe tume nikal diya hai aur tum question nikalna ab sab kaam to hum nahi arenge na beta jaust chill aur baap se aisa nahi bolte

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ayush  (9 years ago)

fdfgg explain

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Ashutosh tarwey  (9 years ago)

Please provide options

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