If \( \left( {x + \frac{1}{x}} \right){ \text{ = }}\sqrt {13} { \text{,}} \) then the value of \(\left( {{x^3} - \frac{1}{{{x^3}}}} \right)\) is = ?
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If \(\root 3 \of {{3^n}} { \text{ = 27,}}\) then the value of n is = ?
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2
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\(\frac{{20 + 8 \times 0.5}}{{20 - ?}}{ \text{ = 12}}\) Find the value in place of (?)
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3
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\(6\frac{5}{6} \times 5\frac{1}{3} \times 17\frac{2}{3} \times 4\frac{1}{2} = ?\)
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4
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200 ÷ 25 × 4 + 12 - 3 = ?
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5
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\(\left( {\frac{{785 \times 785 \times 785 + 435 \times 435 \times 435}}{{785 \times 785 + 435 \times 435 - 785 \times 435}}} \right)\) simplifies to = ?
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6
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The value of \({ \text{5}}\frac{1}{3} \div 1\frac{2}{9} \times \frac{1}{4} \left( {10 + \frac{3}{{1 - \frac{1}{5}}}} \right)\) = ?
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7
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Direction: In the question given below the given mathematical symbols are changed from '+' to '÷', '-' to '×', '÷' to '-' and from '×' to '+', then choose your answers from the following options.
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8
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\({ \text{If }}x = \frac{1}{{2 + \frac{1}{2}}}{ \text{ then }}\frac{1}{x} = ?\)
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9
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There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
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10
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If \(\left( {x + \frac{1}{x}} \right){ \text{ = 2,}}\) then \(\left( {x - \frac{1}{x}} \right)\) is equal to = ?
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