List of top Quantitative Aptitude Questions on Simplification asked in NCHMCT JEE

Find the value of: \(\frac{\sqrt[3]{3375}+\sqrt{144}}{\sqrt[3]{729}+\sqrt[3]{1728}}\)
If \(P = \frac{1}{2} + \frac{1}{6} + \frac{1}{12} + \frac{1}{20} + \frac{1}{30}\), then find the value of \(\sqrt{6(9-P)}\).
Simplify: \((27)^{\frac{-1}{3}} \times (27)^{\frac{-1}{3}} \times [27^{\frac{1}{3}} - 27^{\frac{2}{3}}]\)
Simplify: \(15 + 60 \div 15 \times 2 - 1\)
Solve: \( 2.8 - (7.4 \div 3.7 \times 5) \times 2 \)
Simplify \[ \frac{7}{8} \times \frac{7}{8} + \frac{5}{6} \times \frac{5}{6} + \frac{7}{8} \times \frac{5}{3} \div \left( \frac{7}{8} \times \frac{7}{8} - \frac{5}{6} \times \frac{5}{6}\right) \]
The fraction equivalent to \( \frac{2}{7}% \) is
The value of \( 35.7 - \left[ 3 + \frac{1}{3 + \frac{1}{3}} \right] - \left[ 2 + \frac{1}{2 + \frac{1}{2}} \right] \) is: