The diagonal of a rectangle is 12 cm long, and it is twice as long as one of the sides of the rectangle. What is the area of this rectangle?
\(25\sqrt{3}\ \text{cm}^2\)
\(30\sqrt{3}\ \text{cm}^2\)
\(36\sqrt{3}\ \text{cm}^2\)
\(42\sqrt{3}\ \text{cm}^2\)
A solid sphere whose radius is 21 cm is melted and recast into a regular pyramid of square base. If height of the pyramid is 66 cm, then what is the length of each side of the base of the pyramid? \( \text{use } \pi = \frac{22}{7} \)
Two mixers and one TV cost ₹500, while two TVs and one mixer cost ₹700. The cost of one TV is:
The following table shows the numbers of pairs of shoes of 6 different brands sold by a shop during a given week.
The shop also sells brand B7 now. The number of pairs of shoes sold of B7 are 20% more than the average number of shoes sold of the other 6 brands. What is the number of shoes sold of B7?
| Brand | Shoes |
| B1 | 42 |
| B2 | 58 |
| B3 | 61 |
| B4 | 49 |
| B5 | 71 |
| B6 | 49 |
The following pie cha1i shows the expenditure of Ayush on various heads, including Savings, as percentages of his income.
If the expenditure of Ayush on Food is ₹18,000, then what would his savings be?
The following bar chart shows the number of hospital beds in a state in 5 consecutive years.
The number of hospital beds in Y6 will be 20% more than the number of such beds in Y5, and the number of hospital beds in Y7 will be 25% more than the number of such beds in Y6. What is the ratio of the number of hospital beds in Y2 to the number of hospital beds in Y7?