Question
When both length and breadth of a rectangle are
increased by 3 m, the area rises by 189 m². The ratio of perimeters (square : rectangle) is 5:6. Find the side of the square.Solution
ATQ, Let length = x m, breadth = y m (x + 3)(y + 3) – xy = 189 ⇒ 3x + 3y + 9 = 189 ⇒ 3x + 3y = 180 ⇒ x + y = 60 Perimeter of rectangle = 2(x + y) = 120 m Perimeter of square = (5/6) × 120 = 100 m Side of square = 100 ÷ 4 = 25 m
4 5 12 39 160 ?
...36, 49, 23, 62, ?, 75
6Â Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â Â 40Â Â Â Â Â Â Â Â Â Â Â 32Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 249Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 240
(45)2 ÷ ∛729 + (35)2 ÷ 1.4 =?
If 4 2 x 1.5 0.5
Then, 1/3 x + 2.5 = ?
13, 26, 104, ?, 13312, 425984
100Â Â Â 180Â Â Â 294Â Â Â 448Â Â Â 648Â Â Â ?
1156Â Â Â Â Â Â Â 372Â Â Â Â Â Â Â Â Â 997Â Â Â Â Â Â Â Â Â 513Â Â Â Â Â Â Â Â Â 874Â Â Â Â Â Â Â Â Â 618
1936     a        �...
30, 39, 66, ? , 174, 255
A series follows a specific pattern as shown below, but one of the terms is incorrect. There is another series that follows the s...
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