Surds and Indices Questions Practice Question and Answer
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Q: If $$ {(\sqrt {3})^{5}× {9}^{2}={3^{n}{×3\sqrt {3}}}}$$ then value of n
1150 160f9300216158a5eedaeb848
60f9300216158a5eedaeb848- 15true
- 26false
- 33false
- 44false
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Answer : 1. "5"
Q: The value of which one of the following fractions falls in between $$ {3\over 5}$$ and $$ {7\over 8}$$?
965 0606aebf4c476de27c7ad7668
606aebf4c476de27c7ad7668- 1$$ {8\over 9}$$false
- 2$$ {4\over 7}$$false
- 3$$ {12\over 13}$$false
- 4$$ {6\over 7}$$true
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Answer : 4. "$$ {6\over 7}$$"
Q: $$ {({1\over25})^{-1\over2}}+{({8\over 27})^{-1\over3}}$$
948 060363caf24cd273bc4f0bd0f
60363caf24cd273bc4f0bd0f- 1$$ {9\over 2}$$false
- 2$$ {13\over 2}$$true
- 3$$ {13\over 15}$$false
- 4$$ {5\over 9}$$false
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Answer : 2. "$$ {13\over 2}$$"
Q: $$ {5^{1\over 4}×(125)^{0.25}}$$ is equal to
950 060363c4da0666c3c85061810
60363c4da0666c3c85061810- 1$$ {\sqrt{5}}$$false
- 2$$ {5\sqrt{5}}$$false
- 35true
- 425false
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Answer : 3. "5"
Q: Solve for x if $$ {x^{a^{3}}}.x^{b^{3}}.x^{3ab(a+b)}=(2^{5})^{25},a+b=5 $$
1141 0600e91ea7fb81d03bf730d5a
600e91ea7fb81d03bf730d5a- 12true
- 23false
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Answer : 1. "2"
Q: What is the value of a5 × a7 ?
974 05fe1b80e4c864b4aa0de2f66
5fe1b80e4c864b4aa0de2f66- 1$$ {a^{35}}$$false
- 2$$ {a^{2}}$$false
- 3$$ {a^{12}}$$true
- 4$$ {a^{5}}$$false
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Answer : 3. "$$ {a^{12}}$$"
Q: Find the value of $$ \sqrt{20+\sqrt{29-\sqrt{12+\sqrt{19-\sqrt{9}}}}}$$.
1243 05fc477e1070eb7152d7ea27b
5fc477e1070eb7152d7ea27b- 14false
- 23false
- 35true
- 41false
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Answer : 3. "5"
Q: If $$ {3^{4x-y}={3^{x+y}=\sqrt{27}}}$$, then the value of y is:
1740 05f644e3ae318e06cd33b42b7
5f644e3ae318e06cd33b42b7- 1$$ {9\over 10}$$true
- 2$$ {3\over 2}$$false
- 32false
- 4$$ {3\over 4}$$false
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Answer : 1. "$$ {9\over 10}$$"
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