Section - Mathematics
A hollow spherical shell is made of a metal of density 40 g/cm3. Its internal and external radii are 1 cm and 4 cm, respectively. What is the mass (in kg) of the shell? (Take π =\( \frac{22}{7} \))
An amount of ₹936 is divided among three persons in the ratio of 2 : 4 : 3. The difference between the largest and the smallest shares (in ₹) in the distribution is:
By how much is 65% of 75 greater than \( \frac{3}{5} \) of 15?
The distance between two electric poles of length 25 metres and 36 metres is x metres. If the two angles of elevation of their respective top from the bottom of the other are complementary to each other, then the value of x (in metres) is:
A supplier offers a trade discount of 20% on a product priced at ₹5,000. Additionally, there is a scheme discount of 10% on the already discounted price. What is the final price of the product after both discounts?
If the third proportional of 9 and 30 be x, then what is the value of x?
Zeeshan travels 252 km at 63 km/hr, the next 150 km at 30 km/hr and the next 680 km at 68 km/hr. What is his average speed (in km/hr, rounded off to two decimal places) for the whole journey?
What is the difference between a single discount of 48% on ₹1,450 and two successive discounts of 10% and 40% on the same amount?
Simplify: 4((\( \frac{3}{4} \))x² − 25x + 17) − 3(x² + 8x − 13)
Shahid and Mira have to travel from Delhi to Kanpur in their respective cars. Shahid is driving at 42 km/hr while Mira is driving at 98 km/hr. Find the time taken by Mira to reach Kanpur if Shahid takes 14 hours.