Class 08 PUZZLES

 PUZZLES 

I have two digits. I am a square. I am also a cube. What number am I? 

2. I am a two digit number. I am the square of the sum of my digits. What number am I?

3. The sum of the squares of six consecutive whole numbers is 1111. Find the six whole numbers. 

4. Great Grandmother wouldn't tell when she was born. She did say that she was A years old in the year A? What year was she born? (Hint: A is between 40 and 50)

5. The difference of the squares of two consecutive even numbers is 20. What are these even numbers? 

I have two digits. I am a square. I am also a cube. What number am I? 

Solution : 

64 = 8² = 43

2. I am a two digit number. I am the square of the sum of my digits. What number am I?

Solution : 81 = (8+1)² = 9²

3. The sum of the squares of six consecutive whole numbers is 1111. Find the six whole numbers. 

11² + 12² + 13² + 14² + 15² + 16² = 121+144+169+196+225+256=

4. Great Grandmother wouldn't tell when she was born. She did say that she was A years old in the year A²? What year was she born? (Hint: A is between 40 and 50)

Solution: 49 ( because only square number 49 is between 40 &50)

5. The difference of the squares of two consecutive even numbers is 20. What are these even numbers? 

Solution: 6² - 4² =  36 – 16 = 20