Related InterviewSolutions

• The number of solutions of the system of equations: x – 3y + 2z = 1, isx + 4y – 3z = 5A. 3B. 2C. 1D. none of these
• Solve:\(\frac{3(y\,-\,5)}{4}-4y=3-\frac{(y\,-\,3)}{2}\)3(y - 5)/4 - 4y = 3 - (y - 3)/2
• Solve:\(\frac{9x}{7\,-\,6x}=15\)9x/7 - 6x = 15
• Evaluate {(83)2 - (17)2}.
• Write 'T' for true and 'F' for false for each of the following:(i) (5 - 3x2) is a binomial. (ii) - 8 is a monomial. (iii) (5a - 9b) - ( - 6a + 2b) = ( - a - 7b).(iv) When x = 2 and y = 1, the value of \(\frac{-8}{7}x^3y^3\) is \(\frac{-64}{7}\)(v) \(\frac{x}{4}+\frac{x}{6}-\frac{x}{2}=\frac{3}{4}\) \(\Rightarrow x=-9\)(vi) 2x - 5 = 0 \(\Rightarrow x=\frac{2}{5}\)
• If \((x-\frac{1}{x})=4,\) find the value of(i) \((x^2+\frac{1}{x^2}),\)(ii) \((x^4+\frac{1}{x^4}),\)
• Find each of the following products: (i) (4a + 5b) x (5a - 6b) (ii) (6x2 - x + 8) × (x2 - 3)
• Fill in the blanks. (i) x2 - 18 x + 81 = (…) (ii) 4 - 36x2 = (…)(...) (iii) x2 - 14x + 13 = (…)(…) (iv) 9z2 - x2 - 4y2 + 4xy = (…)(…) (v) abc - ab - c + 1 = (…)(…)
• 10p2 + 11p + 3 = ? A. (2p + 3)(5p + 1) B. (5p + 3)(2p + 1) C. (5p - 3)(2p - 1) D. none of these
• 12x2 + 60x + 75 = ? A. (2x + 5)(6x + 5) B. (3x + 5)2 C. 3(2x + 5)2 D. none of these