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What is the smallest number of four digits which is a perfect square?
- a)1016
- b)1024
- c)1036
- d)1048
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the smallest number of four digits which is a perfect square?a...
The smallest four digit no. = 1000
View all questions of this test32^2 is more than 1000 by 24;
So the least number to be added to 1000 is 24.
Therefore, 1000+24 = 1024 is the smallest four digit number which is a perfect square.
Most Upvoted Answer
What is the smallest number of four digits which is a perfect square?a...
Explanation:
To find the smallest four-digit perfect square, we need to find the smallest number that, when squared, gives a result greater than or equal to 1000.
Let's start by finding the square root of 1000 and rounding it up to the nearest whole number.
√1000 ≈ 31.62 → rounded up to 32
Now, let's square this number to see if it is a four-digit number:
32^2 = 1024
Analysis:
The options given are:
a) 1016
b) 1024
c) 1036
d) 1048
We can immediately eliminate options a), c), and d) because they are not perfect squares of any whole number.
Final Answer:
Therefore, the smallest number of four digits which is a perfect square is option b) 1024.
To find the smallest four-digit perfect square, we need to find the smallest number that, when squared, gives a result greater than or equal to 1000.
Let's start by finding the square root of 1000 and rounding it up to the nearest whole number.
√1000 ≈ 31.62 → rounded up to 32
Now, let's square this number to see if it is a four-digit number:
32^2 = 1024
Analysis:
The options given are:
a) 1016
b) 1024
c) 1036
d) 1048
We can immediately eliminate options a), c), and d) because they are not perfect squares of any whole number.
Final Answer:
Therefore, the smallest number of four digits which is a perfect square is option b) 1024.
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