Quantitative Aptitude
Ramu lent ₹3,000 to Raju and a certain sum to Ravi at the same time and at the same rate of simple interest of 8% per annum. After 5 years, he received a sum of ₹1,600 from Raju and Ravi together as interest. Find the sum lent to Ravi.
Simplify \(\dfrac{1 + \sin\theta - \cos\theta}{1 + \sin\theta + \cos\theta}\)
\(\cos\dfrac{\theta}{2}\)
\(\sin\dfrac{\theta}{2}\)
\(\cot\dfrac{\theta}{2}\)
\(\tan\dfrac{\theta}{2}\)
Refer the below table and answer the question that follows.
| India’s exports in 2020 | Value in million US $ |
| Electronics | 720 |
| Cotton | 680 |
| Jewellery | 500 |
| Steel | 450 |
| Software | 850 |
Jewellery was what percentage of the total exports? (rounded to two decimal places)
Find the gain percentage, given that Aditi sold her scooter for Rs.25,404 gaining \(\dfrac{1}{6}\)th of the selling price.
Study the given pie chart carefully and answer the question that follows.
The given pie chart depicts the expenditure incurred towards different hobby classes of an institute.
If the total expenditure is ₹10,70,000, then find the central angle of the sector representing ‘drawing’.
IF 10sin2θ+6cos2θ=7, 0<θ<90°, then find the value of tanθ