In the figure, O is the centre of the circle. Its two chords AB and CD intersect each other at the point P within the circle. If AB = 20 cm, PB = 12 cm and CP = 8 cm, then find the measure of PD.
In a linear race of 1000 m, A beats B by 50 m or 5 seconds. What is the difference between the speeds (in m/s) of A and B?
\( 1 \tfrac{10}{19} \)
\( \frac{10}{19} \)
\( \frac{9}{19} \)
\( \frac{9}{10} \)
The table given below shows the cost price and selling price of 5 different articles.
| Article | Cost price | Selling price |
| A1 | 350 | 450 |
| A2 | 550 | 550 |
| A3 | 450 | 650 |
| A4 | 250 | 550 |
| A5 | 150 | 650 |
What is the ratio of cost price of A1 to the selling price of A4?
The selling price of 28 items is equal to the cost price of 17 items. What is the percentage of profit or loss?
\( 39\tfrac{2}{7}\% \) loss
\( 39\tfrac{2}{7}\% \) profit
\( 33\tfrac{2}{7}\% \) profit
\( 33\tfrac{2}{7}\% \) loss
A sum amounts to ₹767 in 3 years, and to ₹806 in 4 years on simple interest at 6% per annum. What is the sum?
Study the pie chart and answer the questions.
The chart represents the spending of a state on various sports during a particular year.
How much percent more is spent on cricket than on tennis (correct up to 2 decimal places)?
Simplify the following:
cot13° cot27° cot45° cot63° cot77° = ?