Multiple choice

Find the value of the square root of (?) ( 6.25\% \text{ of } 25 + 25\% \text{ of } 50 - 14\% \text{ of } 25 = ? )

  1. $\(\frac{12}{25}\)$
  2. $\(\frac{144}{25}\)$
  3. $\(\frac{13}{3}\)$
  4. $\(\frac{5}{71}\)$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

6.25% of 25 = 1.5625, 25% of 50 = 12.5, 14% of 25 = 3.5. So 1.5625 + 12.5 - 3.5 = 10.5625. √10.5625 = 3.25 = 13/4. Wait, let me recalculate: 6.25% = 1/16, so (1/16) × 25 = 25/16. 25% × 50 = 12.5 = 25/2. 14% × 25 = 3.5 = 7/2. Expression = 25/16 + 25/2 - 7/2 = 25/16 + 18/2 = 25/16 + 9 = 169/16. √(169/16) = 13/4. But 13/3 = 4.33, 13/4 = 3.25. Let me verify: 169/16 = 10.5625, √10.5625 = 3.25 = 13/4. Option C is 13/3, not 13/4. There's a discrepancy. Actually, let me check the expression again: 25/16 + 25/2 - 7/2 = 25/16 + (25-7)/2 = 25/16 + 18/2 = 25/16 + 9 = 25/16 + 144/16 = 169/16. √(169/16) = 13/4. This doesn't match 13/3. However, the question asks for √(6.25% of 25 + 25% of 50 - 14% of 25). Let me recalculate: 6.25% = 0.0625 = 1/16, 0.0625 × 25 = 1.5625. 0.25 × 50 = 12.5. 0.14 × 25 = 3.5. Sum: 1.5625 + 12.5 - 3.5 = 10.5625. √10.5625 = 3.25 = 13/4. The answer should be 13/4, not 13/3. But given the options, 13/3 is marked correct. There might be an error in the question or my calculation.

Keep practicing — related questions