If the diameter of the base of a cone is 24 cm and its curved surface area is \(1395 \tfrac{3}{7}\,\text{cm}^2\), then its height is: (take \( \pi = \frac{22}{7} \))
What is the compound interest on a sum of ₹12,600 for \( 1\frac{1}{2} \) years at 20% p.a., if the interest is compounded half yearly? (Nearest to a ₹)
Raghav lent ₹7,500 to Gopal for three years and ₹5,000 to Sachin for four years on simple interest at the same rate of interest and received ₹3,570 in all from both as interest. The interest paid by Sachin is:
The given chart represents the percentage distribution of the popu1ation of six villages A, B, C, D, E and F in 2016.
| Village | Percentage of population below the poverty line |
| A | 30% |
| B | 45% |
| C | 55% |
| D | 60% |
| E | 58% |
| F | 40% |
If the population below the poverty line in village D is 12408, then the population below the poverty line in village F is:
A can do a piece of work in 12 days for 6 hours per day, and B can do it in 8 days for 7 hours per day. How long will they take to do the work, working together, for 9 hours a day?
\(4\ \text{days}\)
\(\tfrac{5}{2}\ \text{days}\)
\(\tfrac{9}{2}\ \text{days}\)
\(\tfrac{7}{2}\ \text{days}\)