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Wrong Answers: | |
Unattempted: |
Question 1
What is the value of x if $(625)^1.5 × 5^5$ ÷ $25^2.5$ = $5^x$?
Question 2
If $8^{m + n} = 2097152$, and $8^{m - n} = 4096$, then what is m?
5.5.
6.0.
7.0.
8.0.
Ans: a
By inspection, both the expressions can be simplified to $8^{m + n} = 8^7$ and $8^{m - n} = 8^4$. 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 3
If $p^q = 36$, then what could be $(p - 1)^(q + 1)$?
Question 4
If $√54$ is approximately $7$, then what is $54^1.5$?
Question 5
If $√5329 = 73$, then what is the value of $√53.29$ + $√0.5329$ + $√0.005329$ + $√0.00005329$?
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Alphabet Number Series | Boats and Streams | Paper Folding | Analogies | Logarithms | Cubes and Dice | Time and Work | Square and Cube Roots | Clocks and Calendars | Volume and Surface Areas | More...
This Blog Post/Article "Surds and Indices Quiz Set 011" 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