Simplify: \(\left[(4x - 5y)^2 + 80xy\right] \div \left[(4x + 5y)^2\right]\)

Simplify 32 − 5 of (17 − 12) + 4 × 7 − 6 ÷ 3.

Simplify: \(6 \div \left[(9 - 6) \div \left\{(5 - 3) \div \left(2 + \dfrac{8}{13}\right)\right\}\right]\)

Simplify: \(0.65 \div 0.13 + 3.5 - 2.825\)

If \(x = \sqrt{5776}\) and \(y = \sqrt{2025}\), find \(\dfrac{x^{2} - y^{2}}{x - y}\).

Simplify: 272 ÷ 17 × 1.5 + 13 – 5

Sachin's monthly salary is ₹15,000. He spends ₹5,500 on house rent and ₹2,000 on utility bills, and saves the remaining amount each month. If, during his birthday month, he spends his entire monthly savings on his birthday celebration, find his total savings (in ₹) for the year.

Ram purchases 8 pens for ₹240 and 6 pencils for ₹54. How much money does he need to buy 1 pen and 3 pencils?

Simplify: \(2 \div \frac{4}{5} \times (5 + 8 \times 2 - 4) + \left[\frac{1}{5} \div \frac{7}{25} - \left\{\frac{3}{7} + \frac{16}{28}\right\}\right]\)

If P = 0.3 × 0.3 + 0.03 × 0.03 - 0.6 × 0.03 and Q = 0.54, then  \(\rm \frac{P}{Q}\) is equal to:

The value of \(\left(\frac{1}{2}\right)^{−2} \times\left(\frac{1}{3}\right)^{−2} \times\left(\frac{1}{4}\right)^{−2} \)  is

The solution of the equation \(\frac{2}{3 x-4}+\frac{2}{2 x-6}=0 \) is:

What will come in the place of question mark (?) in the given expression?

\(\sqrt{21+\sqrt{49}+\sqrt{64}} \space {\%\:of\:5000}=?\)