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 = ?
1
\(\frac{{x + y + z}}{{a + b + c}}\)
\(\frac{{a + b + c}}{{x + y + z}}\)
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What is \(\frac{{\frac{7}{8} \times \frac{7}{8} + \frac{5}{6} \times \frac{5}{6} + \frac{7}{8} \times \frac{5}{3}}}{{\frac{7}{8} \times \frac{7}{8} - \frac{5}{6} \times \frac{5}{6}}}\) equal to ?
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(4/9) × 1701 + (2/11) × 1386 = ?
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3
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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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4
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Find the value of \(\sqrt {248 + \sqrt {52 + \sqrt {144} } } = ?\)
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5
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The simplified value of
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6
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A body of 7300 troops is formed of 4 battalions so that 1/2 of the first, 2/3 of the second, 3/4 of the third and 4/5 of the fourth are all composed of the same number of men. How many men are there in the second battalion?
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7
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The value (1001)3 is = ?
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8
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853 + ? / 17 = 1000
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52 + 132 – 112 = (?)3 – 52
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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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