Question
How many integer pairs (x, y) satisfy the inequality
x2 + 4y2 < 100?Solution
y will lie in the range [-4, 4] When y = 4 or – 4, x will lie in the range [-5, 5] = 11 values. Total pairs = 22 When y = 3 or – 3, x will lie in the range [-7, 7] = 15 values. Total pairs = 30 When y = 2 or – 2, x will lie in the range [-9, 9] = 19 values. Total pairs = 38 When y = 1 or – 1, x will lie in the range [-9, 9] = 19 values. Total pairs = 38 When y = 0, x will lie in the range [-9, 9] = Total 19 pairs. Total pairs = 22 + 30 + 38 + 38 + 19 = 147
20% of 1500 – 75% of 200 = 125% of ?Â
24% of 150% of 500 + 140 = ? × 8Â
458.32 - 563.32 + 659.32 =?
What will come in the place of question mark (?) in the given expression?
(√1089 + 84 ÷ 2) % of 348 = 416 - ?
40% are the passing marks. A student gets 250 marks yet fails by 38 marks. What is the maximum marks?
(22.5 × 24) ÷ 40 + 51.50 = ? ÷ 5.25
36×?² + (25% of 208 +13) = 60% of 2400 + 17×18
What will come in the place of question mark (?) in the given expression?
√64 X 9 ÷ 3 + 12 X 3 = ? + 36(3/7) x 868 + 25% of 240 = (? + 65)
