- waltz2salsa
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If 3^a * 4^b = c, what is the value of b?
(1) 5^a = 25
(2) c = 36
i dont have the OA ... but as quoted by an expert here https://www.beatthegmat.com/exponent-values-t69282.htmlit should be [spoiler] 'c[/spoiler]'
According to me it should be [spoiler]'e' [/spoiler] . Can someone please tell me where am i going wrong.
stmt 1 is clearly insufficient ( it just gives a=2)
stmt 2 :
3^a * 4^b = 36 = 3^2 * 4^1
or (3^a * 4^b)/ (3^2 * 4^1) = integer
i.e. 3^(a-2) * 4^(b-1) = int
or a>=2 and b > = 1
clearly insufficient
stmt 1 & stmt 2 for choice 'c': a = 2 , b>=1
'again insufficient as we can have infinite values for 'b' (greater than equal to 1)
Can some one please clarify
Regards,
Shashwat
(1) 5^a = 25
(2) c = 36
i dont have the OA ... but as quoted by an expert here https://www.beatthegmat.com/exponent-values-t69282.htmlit should be [spoiler] 'c[/spoiler]'
According to me it should be [spoiler]'e' [/spoiler] . Can someone please tell me where am i going wrong.
stmt 1 is clearly insufficient ( it just gives a=2)
stmt 2 :
3^a * 4^b = 36 = 3^2 * 4^1
or (3^a * 4^b)/ (3^2 * 4^1) = integer
i.e. 3^(a-2) * 4^(b-1) = int
or a>=2 and b > = 1
clearly insufficient
stmt 1 & stmt 2 for choice 'c': a = 2 , b>=1
'again insufficient as we can have infinite values for 'b' (greater than equal to 1)
Can some one please clarify
Regards,
Shashwat












