List of top Quantitative Aptitude Questions on Algebra asked in NIFT

If \( a^3 + b^3 = c^3 \), then \( (a + b - c)^3 + 27abc \) is equal to:
If \[ \frac{28.5}{5} \, \frac{21.5}{15} = \frac{15.5}{30} = \left( \frac{x}{4} \right)^3 - 3, \] then the value of \(x\) is:
Evaluate the following expression: \[ \frac{0.963 \times 0.963 - 0.963 \times 0.037 + 0.037 \times 0.037}{0.963 \times 0.963 \times 0.963 + 0.037 \times 0.037 \times 0.037} \]
If \( \frac{x}{y} = 0.45 \), then the value of \[ \frac{3y - x}{3y + x} + \frac{6}{23} \] is:

The value of $ \frac{1}{1 + p^{(y-z)} + p^{(x-z)}} + \frac{1}{1 + p^{(x-y)} + p^{(z-y)}} + \frac{1}{1 + p^{(y-x)} + p^{(z-x)}}, $ is:

If \[ \left( \frac{0.007}{0.049} + \frac{0.049}{0.007} \right)^2 = \frac{2500}{K - 1}, \text{then the value of } k \text{ is:} \]
The single digit value of \( k \) satisfying the algebraic relation \( k + 1k + 2k + 4k + k^2 = 19k \), is:
If the sum of two numbers is 12 and their difference is 8, then the product of the two numbers is: