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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (02:13) correct
27%
(02:32)
wrong
based on 353
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If \(x\) and \(y\) are integers and \(\frac{7^{x+1} - 7^{x-1}}{3}=(2^y)(49^6)\) what is the value of \(xy\)?
(A) 104
(B) 96
(C) 52
(D) 48
(E) 44
(A) 104
(B) 96
(C) 52
(D) 48
(E) 44
18 Apr 2022, 01:24
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GMATNinja
If \(x\) and \(y\) are integers and \(\frac{7^{x+1} - 7^{x-1}}{3}=(2^y)(49^6)\) what is the value of \(xy\)?
(A) 104 (B) 96 (C) 52 (D) 48 (E) 44
(A) 104 (B) 96 (C) 52 (D) 48 (E) 44
\([fraction]7^{x+1} - 7^{x-1}[/fraction]=(3)(2^y)(49^6)\)
in RHS 7^12
LHS x=13 we get power same as 7^12 (7^2-1) ; 7^12*2^4*3
we get
7^12*2^4*3= 3*2^y *7^12
y will be 4
so x*y ; 13*4 ; 52
option C
19 Apr 2022, 11:14
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Archit3110
GMATNinja
If \(x\) and \(y\) are integers and \(\frac{7^{x+1} - 7^{x-1}}{3}=(2^y)(49^6)\) what is the value of \(xy\)?
(A) 104 (B) 96 (C) 52 (D) 48 (E) 44
(A) 104 (B) 96 (C) 52 (D) 48 (E) 44
\([fraction]7^{x+1} - 7^{x-1}[/fraction]=(3)(2^y)(49^6)\)
in RHS 7^12
LHS x=13 we get power same as 7^12 (7^2-1) ; 7^12*2^4*3
we get
7^12*2^4*3= 3*2^y *7^12
y will be 4
so x*y ; 13*4 ; 52
option C
How you got x=13
how you got x=13?
how can we campare numerator with rhs of 7 ^12 only ...?
