Question 1
What is the value of \(4\) \({}+ 44\) \({}+ 444\) \({}+ 4444\) \({}+ 44444?\)
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What is the value of \(4\) \({}+ 44\) \({}+ 444\) \({}+ 4444\) \({}+ 44444?\)
Simplify: \(\left(1\frac{2}{5} + 2.6\right) - 1\frac{3}{4}\)
Evaluate the expression:
\(\frac{1}{3-\sqrt{8}} - \frac{1}{\sqrt{8}-\sqrt{7}}\) \({}+ \frac{1}{\sqrt{7}-\sqrt{6}} - \frac{1}{\sqrt{6}-\sqrt{5}}\) \({}+ \frac{1}{\sqrt{5}-2} = ?\)
Determine the ratio of the number of students who play Football to the number of students who play Basketball in a survey of 120 students from the following table:
| Category | Number |
|---|---|
| Play Football and Basketball | 25 |
| Play Football but not Basketball | 45 |
| Play Basketball but not Football | 35 |
| Play neither sport | 15 |
Tina and Meera started a business with ₹1,00,000 and ₹80,000 respectively. After 6 months, Meera added ₹40,000 more. Tina withdrew ₹20,000 at the same time. What is the profit-sharing ratio at the end of 1 year?
A invests ₹20,000, while B invests ₹30,000. A receives an additional 20% for management. The total profit is ₹60,000. What is A's share?
A batsman's average score for a certain number of innings is 44. If he scores 132 runs in the next innings, his average becomes 48. How many innings did he play earlier?
The average of 13 numbers is 70. The average of the first five numbers is 60. The average of the next five numbers is 25 % higher than the average of the first five numbers. The 11th number is 6 less than the 13th number, and the 12th number is 4 greater than the 13th number. What is the average of the 11th and 12th numbers?
In an election, 80% of eligible voters cast their votes. Of these votes, 5% were declared invalid. If a winning candidate received 11,400 votes, which accounted for 60% of the total valid votes, what was the total number of eligible voters enrolled in that election?
The compound interest on a sum at 18% p.a. for \(1\frac{1}{2}\) years, compounded yearly, is ₹2,862. Find the principal.