91). \( \Large \left[ \sqrt[3]{2} \times \sqrt{2} \times \sqrt[3]{3} \times \sqrt{3} \right] \) is equal to:
A). \( \Large 6^{5} \) |
B). \( \Large 6^{\frac{5}{6}} \) |
C). 6 |
D). None of these |
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92). \( \Large \{ \left(-2\right)^{ \left(-2\right) } \}^{ \left(-2\right) } \) is equal to:
A). 16 |
B). 8 |
C). -8 |
D). -1 |
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93). The value of \( \Large \frac{0.796 \times 0.796-0.204 \times 0.204}{0.796-0.204} \) is
A). 0.408 |
B). 0.59 |
C). 0.592 |
D). 1 |
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94). \( \Large \frac{ \left(2.3\right)^{3}+0.027 }{ \left(2.3\right)^{^{2}}-0.69+0.09 } \) is equal to:
A). 2.6 |
B). 2 |
C). 2.33 |
D). 2.8 |
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95). \( \Large \frac{5.71 \times 5.71 \times 5.71-2.79 \times 2.79 \times 2.79}{5.71 \times 5.71+5.71 \times 2.79+2.79 \times 2.79} \) in simplified form:
A). 8.5 |
B). 8.6 |
C). 2.82 |
D). 2.92 |
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96). The value of \( \Large \frac{ \left(1.5\right)^{3}+ \left(4.7\right)^{3} + \left(3.8\right)^{3}-3 \times 1.5 \times 4.7 \times 3.8 }{ \left(1.5\right)^{2}+ \left(4.7\right)^{2}+ \left(3.8\right)^{2}-1.5 \times 4.7-4.7 \times 3.8-3.8 \times 1.5 } \) is:
A). 0 |
B). 1 |
C). 10 |
D). 30 |
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97). \( \Large \left[ \frac{ \left(0.73\right)^{3}+ \left(0.27\right)^{3} }{ \left(0.73\right)^{2}+ \left(0.27\right)^{2}- \left(0.73\right) \times \left(0.27\right) } \right] \) simplifies to:
A). 1 |
B). 0.4087 |
C). 0.73 |
D). 0.27 |
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98). \( \Large \left[ 3-4 \left(3-4\right)^{-1} \right]^{-1} \) is equal to:
A). 7 |
B). -7 |
C). \( \Large \frac{1}{7} \) |
D). \( \Large -\frac{1}{7} \) |
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99). What will be the number of two digits made from the unites and tens digits of the expression \( \Large 2^{12n}-6^{4n} \) where n is a positive integer?
A). 10 |
B). 100 |
C). 30 |
D). 2 |
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100). The smallest among \( \Large \sqrt{8}+\sqrt{5}, \sqrt{7}+\sqrt{6},\sqrt{10}+\sqrt{3} and \sqrt{11}+\sqrt{2}\) is:
A). \( \Large\sqrt{8}+\sqrt{5} \) |
B). \( \Large\sqrt{7}+\sqrt{6} \) |
C). \( \Large\sqrt{10}+\sqrt{3} \) |
D). \( \Large \sqrt{11}+\sqrt{2}\) |
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