Question
The length of a rectangle is four times its breadth. If
its length is increased by 20 cm and breadth is increased by 20 cm, the area of the rectangle is increased by 900 cm2. Â Find the length of the rectangle. Â Â ÂSolution
Let Breadth = x  and Length =  4 x ∴ Original area = 4 x × x = 4 x² Now, New Area =  ( 4 x +20 ) x (x +20) ∴  ( 4 x +20 ) × (x +20) - 4x² = 900 ⇒ 100x=900 – 400 ⇒ x= 5 ∴ l =  4 × 5 = 20cm
23 45 89 155 ? 353
3, 10, 29, 66, ?
98, 122, 182, 278, 410, ?
In each of the following number series, one term is missing. Find the missing term.
3, 8, 15, 24, 35, ?
What should come in place of (?) question mark in the following number series.
4, 9, 19, 34, 54, ?
98, 89, 114, 50, 194, ?
15.975 ×27.825 + (76.01)² + 12.98×18.426 = ?+ (79.09)²
What will come in place of the question mark (?) in the following series?
4, 11, 32, 95, 284, 851, ?
16, 15, 24, -1, 48, ?
What will come in place of the question mark (?) in the following series?
112, 123, 144, 169, 190, ?