Question

$\frac{\sqrt{784} \times 4^3}{7 \times 2^3}$

• A. 8
• B. 32
• C. 6
• D. 24

Answer 1

Answer:

B. 32

• Calculate the square root: The value of √784 is 28, as 28 × 28 = 784.
• Simplify the powers: 4³ = 4 × 4 × 4 = 64 and 2³ = 2 × 2 × 2 = 8.
• Substitute the values: The expression becomes (28 × 64) / (7 × 8).
• Perform the division: Simplify the terms: 28 / 7 = 4 and 64 / 8 = 8.
• Final calculation: Multiply the resulting values: 4 × 8 = 32.
• Mathematical Tip: For Kerala PSC exams, memorizing perfect squares up to 30 (e.g., 20²=400, 25²=625, 30²=900) saves significant time during quantitative aptitude sections.