Question

What value comes in place of question mark (?) in the following statements and arrange them in descending order.

A. $\frac{5}{9} \times (225.4 - 45.4) = (?)^2$ B. $\sqrt{1024} \times 40 + (20)^2 + 0.5\% \text{ of } 9600 + 469 = (?)^3$ C. $8^{12} \div 16^2 \text{ of } 32^3 \times \sqrt{256} = (2)^?$ D. $18\frac{1}{3} + 9\frac{2}{3} - 10\frac{1}{3} = 1\frac{2}{3} + ?$

Choose the correct answer from the options given below :

Accepted Answer

D. Evaluating each term: For A: $\frac{5}{9} 	imes 180 = 100 = (?)^2 \implies ? = 10$. For B: $32 	imes 40 + 400 + 48 + 469 = 1280 + 400 + 48 + 469 = 2197 = (?)^3 \implies ? = 13$. For C: $8^{12} \div (16^2 	ext{ of } 32^3) 	imes \sqrt{256} = 2^{36} \div (2^8 	imes 2^{15}) 	imes 2^4 = 2^{36 - 23 + 4} = 2^{17} = 2^? \implies ? = 17$. For D: $18\frac{1}{3} + 9\frac{2}{3} - 10\frac{1}{3} = 17\frac{2}{3} = 1\frac{2}{3} + ? \implies ? = 16$. Arranging in descending order: $C (17) > D (16) > B (13) > A (10)$.

Descending Order of Algebraic Expressions

Explanation

Practise this under exam conditions