Quantitative Aptitude — Approximation

To approximate the value, we round the numbers to their nearest integers or convenient values: 34.98% of 400.15 becomes 35% of 400 24.89 * 10.05 becomes 25 * 10 Now, calculate: 35% of 400 = (35/100) * 400 = 35 * 4 = 140 25 * 10 = 250 Add the results: 140 + 250 = 390 So, the approximate value is 390.

To approximate the value, we round the numbers to their nearest integers: 899.9 becomes 900 29.9 becomes 30 14.01 becomes 14 Now, calculate: (900 / 30) * 14 First, perform the division: 900 / 30 = 30 Then, perform the multiplication: 30 * 14 = 420 So, the approximate value is 420.

To approximate the value, we round the numbers to their nearest integers: 15.01 becomes 15 24.98 becomes 25 12.99 becomes 13 19.99 becomes 20 Now, calculate: 15 * 25 + 13 * 20 First, perform the multiplications: 15 * 25 = 375 13 * 20 = 260 Then, add the results: 375 + 260 = 635 So, the approximate value is 635.

To approximate the value, we round the numbers to their nearest integers or perfect squares/roots: 17.89 becomes 18 21.01 becomes 21 sqrt(1295.9) becomes sqrt(1296) (since 36^2 = 1296) Now, calculate: 18^2 + 21^2 - sqrt(1296) First, calculate the squares and square root: 18^2 = 324 21^2 = 441 sqrt(1296) = 36 Substitute these values back into the equation: 324 + 441 - 36 Perform addition: 324 + 441 = 765 Perform subtraction: 765 - 36 = 729 So, the approximate value is 729.

To approximate the value, we round the numbers to their nearest integers or convenient values: 59.98% of 650.05 becomes 60% of 650 29.99% of 350.01 becomes 30% of 350 14.99 * 8.01 becomes 15 * 8 Now, calculate: 60% of 650 = (60/100) * 650 = 6 * 65 = 390 30% of 350 = (30/100) * 350 = 3 * 35 = 105 15 * 8 = 120 Substitute these values back into the equation: 390 - 105 + 120 Perform subtraction: 390 - 105 = 285 Perform addition: 285 + 120 = 405 So, the approximate value is 405.

To approximate the value, we round the numbers to their nearest integers: 124.99 becomes 125 15.98 becomes 16 7.99 becomes 8 249.99 becomes 250 Now, calculate: (125 * 16) / 8 + 250 First, perform the multiplication inside the parenthesis: 125 * 16 = 2000 Then, perform the division: 2000 / 8 = 250 Finally, perform the addition: 250 + 250 = 500 So, the approximate value is 500.

To approximate the value, we round the numbers to their nearest integers or perfect squares/roots: 21.01 becomes 21 13.99 becomes 14 sqrt(289.01) becomes sqrt(289) (since 17^2 = 289) 3.99 becomes 4 Now, calculate: 21^2 - 14^2 + sqrt(289) * 4 First, calculate the squares and square root: 21^2 = 441 14^2 = 196 sqrt(289) = 17 Substitute these values back into the equation: 441 - 196 + 17 * 4 Perform multiplication: 17 * 4 = 68 Now, the expression is: 441 - 196 + 68 Perform subtraction: 441 - 196 = 245 Perform addition: 245 + 68 = 313 So, the approximate value is 313.

To approximate the value, we round the numbers to their nearest integers or convenient values: 34.99% of 499.99 becomes 35% of 500 cbrt(728.99) becomes cbrt(729) (since 9^3 = 729) 19.99 becomes 20 Now, calculate: 35% of 500 = (35/100) * 500 = 35 * 5 = 175 cbrt(729) = 9 9 * 20 = 180 Substitute these values back into the equation: 175 + 180 = 355 So, the approximate value is 355.

To approximate the value, we round the numbers to their nearest integers: 4.98 becomes 5 19.99 becomes 20 7.01 becomes 7 11.01 becomes 11 Now, calculate: 5^3 + 20^2 - 7^3 + 11^2 First, calculate the powers: 5^3 = 125 20^2 = 400 7^3 = 343 11^2 = 121 Substitute these values back into the equation: 125 + 400 - 343 + 121 Perform additions and subtractions from left to right: 125 + 400 = 525 525 - 343 = 182 182 + 121 = 303 So, the approximate value is 303.

To approximate the value, we round the numbers to their nearest integers or convenient values: 149.99 becomes 150 5.01 becomes 5 24.98 becomes 25 1.99 becomes 2 29.98% of 500.01 becomes 30% of 500 Now, calculate: (150 / 5) * (25 / 2) + 30% of 500 First, perform the divisions: 150 / 5 = 30 25 / 2 = 12.5 Then, perform the multiplication: 30 * 12.5 = 375 Calculate the percentage: 30% of 500 = (30/100) * 500 = 30 * 5 = 150 Finally, perform the addition: 375 + 150 = 525 So, the approximate value is 525.