For the following questions answer them individually
Which of the following options can be the value of k if $$\frac{(143 \div 13 \times k - 3 \times 3)}{(6^2 - 7 \times 5 + k^2)} = 1$$
A dealer marks his goods 30% higher than their cost price. In order to sell his goods at a no profit no loss basis, what discount percentage should he allow (correct up to 2 decimal places)?
A cloth merchant bought 42 shirts, each at a price of ₹520. He sold each of them for₹ 548. Find his percentage profit on each shirt. (Rounded off to two decimal places)
P can do a piece of work in 15 days, while Q can do it in 10 days. If they work on alternate days beginning with P, in how many days will the work befi nished?
How many digits will be there after the decimal point in the product of 0.124 and 1.0204?
A cop sees a thief at a distance of 120 m. He starts chasing the thief who is running at a speed of 6 m/sec. The cop is chasing him with a speed of 8 m/sec. Find the distance covered by the thief before the cop catches him.
Renu purchased two watches and each of them at the same price and sold one of them at a profit of 20% and the other at a profit of 24.2%. If the difference between their selling prices is ₹189, then what is the cost price of each of the watches?
A police officer follows a thief who is at a distance of 800 m from him. If they run at the aspeeds of 8 km/h and 7 km/h, respectively, what distance (in metre) does the police officer run to catch the thief?
In 2021, in a city 30% of the people were vaccinated by Covid 19 vaccinations in the month of June, 50% of the remaining in July and 20% of the remaining in August. Still 84000 are left for vaccination. Find the total population of the city.(Everyone in the town is eligible for the vaccination)
The largest distance between any two points on a sphere is 6 units. What is the volume of the sphere?