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A number ending in 9 will have the units...

A number ending in 9 will have the units place of its square as

A

3

B

9

C

1

D

6

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The correct Answer is:
To determine the unit place of the square of a number that ends in 9, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the number ending in 9**: Let's denote a number that ends in 9 as \( n \). For example, \( n \) could be 9, 19, 29, etc. 2. **Square the number**: We need to find \( n^2 \). The unit place of \( n^2 \) will depend on the unit place of \( n \). 3. **Calculate the square of 9**: - \( 9^2 = 81 \) - The unit place of 81 is **1**. 4. **Calculate the square of 19**: - \( 19^2 = 361 \) - The unit place of 361 is **1**. 5. **Calculate the square of 29**: - \( 29^2 = 841 \) - The unit place of 841 is **1**. 6. **Generalize the pattern**: - From the calculations above, we see that regardless of the number (as long as it ends in 9), the unit place of its square is always **1**. ### Conclusion: Therefore, if a number ends in 9, the unit place of its square will always be **1**. ---
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NCERT EXEMPLAR-SQUARE - SQUARE ROOT AND CUBE-CUBE ROOT-Exercise (Write the correct answer from the given four options.)
  1. 196 is the square of

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  2. Which of the following is a square of an even number?

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  3. A number ending in 9 will have the units place of its square as

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  4. Which of the following will have 4 at the units place?

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  5. How many natural numbers lie between 52 and 62?

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  6. Which of the following cannot be a perfect square?

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  7. The one’s digit of the cube of 23 is

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  8. A square board has an area of 144 square units. How long is each side ...

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  9. Which letter best represents the location of sqrt 25 on a number line?

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  10. True (T) or false (F) If one member of a pythagorean triplet is 2m, th...

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  11. The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is

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  12. The sum of first n odd natural numbers is

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  13. Which of the following numbers is a perfect cube?

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  14. The hypotenuse of a right triangle with its legs of lengths 3x xx 4x ...

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  15. The next two numbers in the number pattern 1, 4, 9, 16, 25 ... are

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  16. Which among 43^2, 67^2, 52^2, 59^2 would end with digit 1?

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  17. A perfect square can never have the following digit in its ones place.

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  18. Which of the following numbers is not a perfect cube?

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  19. root3(1000) is equal to

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  20. If m is the square of a natural number n, then n is

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