How many two-digit numbers satisfy this property : The last digit (units digit) of the square of the two-digit number is 8 ?a)1b)2c)3d)None of theseCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

Yes, there are zero two digit numbers. The last digit of any two digit number must be lies between 1 to 9, and the square of any number between 1 to 9 can not give last digit as 8.

Answer

D

Answer

Perfect squares doesn't had 2, 3, 7, 8 at their unit place

Answer

Because the square of 1-9 digits doesnt give 8 as its last digit..

Answer

Every perfect square has 1,4,5,6,9 or even no. of zeros at its unit place

Answer

Introduction:
We need to find the number of two-digit numbers whose square ends in 8.

Approach:
To find the numbers satisfying the given property, we need to consider all the two-digit numbers and check if their squares end in 8. We can do this by squaring each two-digit number and checking the units digit.

Explanation:
Let's consider all the two-digit numbers from 10 to 99 and check if their squares end in 8.

Case 1: Numbers ending in 2 or 8
- Numbers ending in 2: 12, 22, 32, ..., 92
- Numbers ending in 8: 18, 28, 38, ..., 98
- Squaring each of these numbers, we find that the units digit of their squares is always 4 or 6, not 8. Therefore, we can conclude that no two-digit numbers ending in 2 or 8 satisfy the given property.

Case 2: Numbers ending in 4 or 6
- Numbers ending in 4: 14, 24, 34, ..., 94
- Numbers ending in 6: 16, 26, 36, ..., 96
- Squaring each of these numbers, we find that the units digit of their squares is always 6 or 4, not 8. Therefore, we can conclude that no two-digit numbers ending in 4 or 6 satisfy the given property.

Case 3: Numbers ending in 0
- Numbers ending in 0: 10, 20, 30, ..., 90
- Squaring each of these numbers, we find that the units digit of their squares is always 0, not 8. Therefore, we can conclude that no two-digit numbers ending in 0 satisfy the given property.

Conclusion:
After considering all the cases, we find that there are no two-digit numbers whose square ends in 8. Hence, the correct answer is option 'D' (None of these).

Answer

Squares of numbers from 1 to 9 won't produce 8 ..thus 8 isn't a perfect square...so 8 cannot become the last digit of any perfect square having 2 digits...

Answer

Square of any whole number can never have 8 at its ones place.
it can only happen in case of a cube of the whole number.

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Just focus on the last digit. be it any number in the unit digit it's square will never yield an 8 in unit digit , the tens digit number doesn't matter.

Answer

Actually, there is no such number which can have a square with unit digit 8.
Squaring first 10 whole numbers:
units digits are:
0 1 4 9 6 5 6 9 4 1
if we take any two digit no. unit digit of that no. will be out of the whole no.s 0 1 2 3 4 5 6 7 8 9. since we cannot have any unit digit which can give 8 as unit digit after squaring we can say that there no such no. which can give 8 as unit digit after squaring.

Answer

Because when we do the square of any two digit number, the number on unit place will lie between 0-9 and when we calculate square of these numbers we get :- 0,1,4,9,6,5,6,9,4,1 respectively (on unit place). So as we see there is no 8 on unit place.
Hence, the answer is None of these

Answer

D is right

Answer

None of the other 2digit number is calculated will be 8 so the answer is d.

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