3, 12, 48, 192, __________ find which of the following term is equal to 12288?
G.P. Series: 4, 16, 64, 256 …………….. 16384 Tn = arn – 1 GP Series: 4, 16, 64, 256 __________ 16384 Tn = arn – 1 ⇒ 16384 = 4 × (4)n – 1 ⇒ 4096 = 4 n – 1 ⇒ 46 = 4 n – 1 ⇒ 6 = n – 1 ⇒ n = 7
I. 7x² + 27x + 18 = 0
II. 19y² - 27y + 8 = 0
Quantity I: A vessel contains a mixture of milk and water in the ratio of 7 : 5. If 9 litre of mixture is sold and replaced by same amount of water the...
I. p² - 10p +21 = 0
II. q² + q -12 = 0
I. 2x² - 15x + 27 = 0
II. 2y² - 13y + 20 = 0
I. x² + 11x + 24 = 0
II. y² + 17y + 72 = 0
I. x² + 3x – 154 = 0
II. y² + 5y – 126 = 0
I. 165x² + 97x + 10 = 0
II. 117y² - 163y + 56 = 0
I. 20x² - 93x + 108 = 0
II.72y² - 47y - 144 = 0
I. 6x² - 49x + 99 = 0
II. 5y² + 17y + 14 = 0
I. 6x2 – 7x - 20 = 0
II. 3y2 - y - 14 = 0