\({ \text{If }}\left( {{n^r} - tn + \frac{1}{4}} \right)\) be a perfect square, then the values of t are = ?
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If x = a + m, y = b + m, z = c + m, then the value of \(\frac{{{x^2} + {y^2} + {z^2} - yz - zx - xy}}{{{a^2} + {b^2} + {c^2} - ab - bc - ca}}\) is = ?
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2
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\(\frac{{225}}{{836}} \times \frac{{152}}{{245}} \div 1\frac{{43}}{{77}} = ?\)
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3
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Find the value of \(\sqrt {4 + \sqrt {44 + \sqrt {10000} } } \)
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4
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The value of x in the equation
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5
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If (2a+b)/(a+4b)=3 , then find the value of (a+b)/(a+2b)
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6
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Simplification of \(\frac{{{{\left( {3.4567} \right)}^2} - {{\left( {3.4533} \right)}^2}}}{{0.0034}} = ?\)
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7
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If \(\left( {a + \frac{1}{a}} \right) = 6, then \left( {{a^4} + \frac{1}{{{a^4}}}} \right)\) = ?
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8
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52 + 132 – 112 = (?)3 – 52
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9
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If the sum of two numbers is 22 and the sum of their squares is 404, then the product of two numbers is = ?
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10
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If a - b = 3 and a2 + b2 = 29, find the value of ab = ?
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