Question 1
What is the value of \(\sqrt{9801} - \sqrt{1681}\)
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What is the value of \(\sqrt{9801} - \sqrt{1681}\)
The investments of three partners, P, Q, and R, are initially in the ratio \(6 : 7 : 9.\) After a year, P adds ₹30,000, Q adds ₹25,000, and R adds some amount to their respective investments. The new ratio of their investments becomes \(8 : 9 : 11.\) Find the amount (in ₹) added by partner R.
An employee contributes 20% of their salary to charity. From the remaining amount, 40% is allocated to investments. The rest is divided for education and travel in the ratio 7: 5. If the expense on travel is ₹6000, what is the employee's total salary?
A certain amount increases to five times its initial value after 10 years of compounding interest. How many years will it take for it to grow to twenty-five times its original amount?
A software company developed 800 licenses for a new application at a total cost of ₹4,000,000. They provided 50 licenses free to their top beta testers. For the remaining licenses, they offered a 15% discount on the market price of ₹6000 per license. Additionally, they gave 1 license free for every 9 licenses bought. If all 800 licenses were distributed, what is the company’s overall gain or loss percentage?
The speeds of two motorcyclists are in the ratio \(5 : 3.\) If the slower motorcyclist has a 24 km head start, and his speed is 12 km/h, how far (in km) will the faster motorcyclist travel to overtake him?
A shopkeeper took a loan of ₹7500 from a bank on 1 April 2025 with simple interest at 9% per annum. He decided to clear the loan on 1 September 2025. How much amount did he pay back to the bank?
Which of these is both an Integer and a Whole number?
A, B, and C invested in a business in the ratio \(2 : 3 : 5.\) After a year, the total profit is Rs. 1,00,000. What is B’s share?
A solid pyramid is to be painted. If paint covers 2 m²/litre and total surface is 48 m², how much paint is needed, including 5% extra for retouch?