Answer:
Same integers value would have same exponents. This means, m = 1 (common base 5), and n=2 (common base 3). Hence, from A, we can get the definite answer of m*n = 1*2 = 2.
Required: value of m*n?
Statement 1: 5^m * 3^n = 45
For the above equation to be valid m has to take value 1 and n has to take value 2
Hence, Sufficient.
Statement 2: 9 ^ ((m-1) * (n-2)) = 1
9^0 = 1
(m-1) * (n-2) = 0
1. m equals 1 or (not sufficient)
2. n equals 2 or (not sufficient)
3. both (sufficient)
Hence, Not sufficient
Ans A.
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
Same integers value would have same exponents. This means, m = 1 (common base 5), and n=2 (common base 3). Hence, from A, we can get the definite answer of m*n = 1*2 = 2.
Answer:
Required: value of m*n?
Statement 1: 5^m * 3^n = 45
For the above equation to be valid m has to take value 1 and n has to take value 2
Hence, Sufficient.
Statement 2: 9 ^ ((m-1) * (n-2)) = 1
9^0 = 1
(m-1) * (n-2) = 0
1. m equals 1 or (not sufficient)
2. n equals 2 or (not sufficient)
3. both (sufficient)
Hence, Not sufficient
Ans A.