Question
I.70x² - 143x + 72 = 0 II. 80 y² - 142y + 63 =
0Solution
I. 70x² - 143x + 72 = 0 70x² - 63x - 80 x + 72 = 0 7x(10 x – 9) – 8(10 x – 9) = 0 (7x – 8) (10 x – 9) = 0 ∴x = 9/10 ,8/7 II. 80 y² - 142y + 63 = 0 80 y² - 70 y - 72y + 63 = 0 10y(8 y – 7) – 9(8 y – 7) = 0 (10 y – 9) (8 y – 7) = 0 ∴y = 9/10 ,7/8 Hence, x≥y.
6000 3002 1503 ? 378.75 191.375 97.6875
...1, 27, ?, 343, 729, 1331
(32.03 + 111.98) ÷ 18.211 = 89.9 – 20.23% of ?
51 53 109 332 ? 6686
...9 4.5 4.5 9 36 ?
5 16 ? 66 119 200
...1 1 8 4 27 9 ?
...What will be the next number in the series?
2, 7, 23, 70, ?
There are three series given below which are following with the same pattern.
Series I: 1, 12, 38, 193, 1355
Series II: 6, B, C, D, E
...Direction: Which of the following will replace ‘?’ in the given question?
5, 18, ‘?’, 126, 296, 586, 1044
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