[GMAT math practice question]
$$LetA\ =2^{50},B=3^{30},\ and\ C=5^{20}$$ . Which of the following is true?
A. A < B < C
B. A < C < B
C. C < A < B
D. B < C < A
E. C < B < A
Let A=2^50, B=3^30, and C=5^20.
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If we wish to compare these numbers, we need to either make their bases the same or make their exponents the same. In this case, it is easiest to make all exponents the same as follows:
A=2^50 = (2^5)^10 = 32^10
B=3^30 = (3^3)^10 = 27^10
C=5^20 = (5^2)^10 = 25^10
Since 32 > 27 > 25, we must have A > B > C.
Therefore, the answer is E.
Answer: E
If we wish to compare these numbers, we need to either make their bases the same or make their exponents the same. In this case, it is easiest to make all exponents the same as follows:
A=2^50 = (2^5)^10 = 32^10
B=3^30 = (3^3)^10 = 27^10
C=5^20 = (5^2)^10 = 25^10
Since 32 > 27 > 25, we must have A > B > C.
Therefore, the answer is E.
Answer: E
Math Revolution
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Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]