Given Exp. | = [(a + b)2 - 4ab], where a = 476 and b = 424 |
= [(476 + 424)2 - 4 x 476 x 424] | |
= [(900)2 - 807296] | |
= 810000 - 807296 | |
= 2704. |
1397 x 1397 | = (1397)2 |
= (1400 - 3)2 | |
= (1400)2 + (3)2 - (2 x 1400 x 3) | |
= 1960000 + 9 - 8400 | |
= 1960009 - 8400 | |
= 1951609. |
∴ x + 1365 = 6x + 15
⟹ 5x = 1350
⟹ x = 270
∴Smaller number = 270.
5358 x 51 | = 5358 x (50 + 1) |
= 5358 x 50 + 5358 x 1 | |
= 267900 + 5358 | |
= 273258. |
Given Exp. = 8988 x | 1 | x | 1 | = | 2247 | = 280.875 |
8 | 4 | 8 |
h = 8 m.
So, r = √l2 - h2 = √(10)2 - 82 = 6 m.
∴ Curved surface area = Πrl = (Π x 6 x 10) m2 = 60Π m2.
⟹ x = | 100 x 28 | = 140 |
20 |
(4915 - 1) = {(72)15 - 1} = (730 - 1), which is divisible by (7 +1), i.e., 8.
On dividing we get, 88) 9217 (104 88 ---- 417 352 ---- 65 ---- Therefore, Required number = 9217 + (88 - 65) // Because (88 - 65) < 65. = 9217 + 23 = 9240.
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