Question
If 4x + 1/5x = 4, then find value of 125x³ +
1/64x³?Solution
4x + 1/5x = 4 By multiplying 5/4 , 4x × 5/4 + 1/5x × 5/4 = 4 × 5/4 5x + 1/4x = 5 On cubing both the sides, (5x+1/4x)^3 = (5)³ = 125x³ + 1/64x³ + 3 × 5x × 1/4x (5x+1/4x) = 125 = 125x³ + 1/64x³ + (3×5)/4 × 5 = 125 = 125x³ + 1/64x³ + 75/4 = 125 = 125x³ + 1/64x³ = 125 - 75/4 = 125x³ + 1/64x³ = (500-75)/4 = 125x³ + 1/64x³ = 425/4
44.89% of 600.25 + (29.98 × 5.67) + (√1940 – 10.29) = ?2
(32.18% of 2399.89 - √624 × 26.25) % of 149.79 = ?
9.95% of 1299.99 + 19.95 × 17.05 - 299.99 = ?
(124.99)² = ?
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
(439.98 ÷ 10.99) × 23.98= ? × (23.98) 2 ÷ 47.98
1120.04 – 450.18 + 319.98 ÷ 8.06 = ?
20.02% of (95.96 × 104.01 – 56.02 × 64.04) – ? = 12.02 × 39.96 + 103.03
What will come in place of the question mark (?) in the following series?
50, 25, 25, ?, 75, 187.5
