In a bag containing red, green and blue pens, the ratio of red, blue and green pens, in the given order was 7:4:9. If the total number of pens in the bag was 320, how many of them were red ?
An arc of length 23.1 cm subtends an 18° angle at the centre. What is the area of the circle? (use \( \pi = \frac{22}{7} \))
Study the table and answer the questions. The table shows the number of candidates who appeared(App), Qualified(Qual) and selected(sel) in a competitive examination from 4 states Delhi, Goa, Karnataka, Maharashtra over the years 2012 to 2016.
| Years |
Delhi
|
Goa
|
Karnataka
|
Maharashtra
|
||||||||
| App | Qual | Sel | App | Qual | Sel | App | Qual | Sel | App | Qual | Sel | |
| 2012 | 8000 | 850 | 94 | 7800 | 810 | 82 | 7500 | 720 | 78 | 8200 | 680 | 85 |
| 2013 | 4800 | 500 | 48 | 7500 | 800 | 65 | 5600 | 620 | 85 | 6800 | 600 | 70 |
| 2014 | 9500 | 850 | 90 | 8800 | 920 | 86 | 7000 | 670 | 80 | 7800 | 720 | 84 |
| 2015 | 9000 | 800 | 70 | 7200 | 850 | 75 | 8500 | 950 | 80 | 5700 | 485 | 60 |
| 2016 | 7500 | 640 | 82 | 7400 | 560 | 70 | 4800 | 400 | 48 | 6500 | 525 | 65 |
The number of candidates selected from Maharashtra during the period under review is approximately what percentage of the number selected from Delhi during this period?
If \(
\tan\frac{\pi}{6} + \sec\frac{\pi}{6} = x,
\) then find x.
\(\sqrt{3}\)
\(\dfrac{1}{\sqrt{3}}\)
-\(\dfrac{1}{\sqrt{3}}\)
\(\dfrac{2}{\sqrt{3}}\)
15 men can complete a work in 25 days, and 25 women can complete the same work in 40 days. If all the 15 men and 25 women work together, in how many days will the work get completed?
\(15\dfrac{5}{13}\) days
\(10\dfrac{5}{13}\) days
\(15\dfrac{5}{12}\) days
\(15\dfrac{4}{13}\) days
Suhani pays tax at the rate of 30% on her entire income of ₹90,000 and Ritika pays tax at the rate of 40% on her entire income of ₹Y· If the overall tax rate on their combined income comes to 37%, then what is the value of y?
working 5 hours a day, A can complete a task in 8 days and working 6 hours a day, B can finish the same task in 10 days. working 8 hours a day, they can jointly complete the task in ____________