Correct Answers: | |
Wrong Answers: | |
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Question 1
If $4^{m + n} = 16384$, and $4^{m - n} = 256$, then what is m?
5.5.
6.0.
7.0.
8.0.
Ans: a
By inspection, both the expressions can be simplified to $4^{m + n} = 4^7$ and $4^{m - n} = 4^4$. The bases are same, so powers should be same as well. So these expressions lead us to two simultaneous equations $m + n = 7$ and $m - n = 4$. Solving, we get $m = {7 + 4}/2$ = 5.5. Note: The trick in such type of questions is to keep an eye on the "bases".
Question 2
What is $({11/26})^0.03 × ({11/26})^x = ({11/26})^0.14$?
Question 3
If $√7744 = 88$, then what is the value of $√77.44$ + $√0.7744$ + $√0.007744$ + $√0.00007744$?
Question 4
What is $({16/7})^2.9 × ({16/7})^x = ({16/7})^1.6$?
Question 5
If $√4761 = 69$, then what is the value of $√47.61$ + $√0.4761$ + $√0.004761$ + $√0.00004761$?
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This Blog Post/Article "Surds and Indices Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-13