Squares, Square Roots, Cubes, Cube Roots Test-3

LCM of 2,4,6= 2 ×1 ×2 ×3=12
Least perfect square which is a multiple of 12 is 36.

Let the number of rows be x
Thus, the each row contains x plants.
The total number of plants in the garden = number of rows ×number of plants in each rows
Thus,
  2025=x ×x
=>x²   =2025
=>x=  3 ×3 ×3 ×3 ×5 ×5
​    =3 ×3 ×5
    =45
Thus, there are 45 rows and each row contains 45 plants.

By division method we find the root of 9999 and we get the remainder 198.So subtracting 198 from 9999 we get 9801 as the greatest 4-digit perfect square. 

The square of 400 is calculated as follows:

400² = (4 × 10² )²

This can be broken down into:

• 4² × (10² )²
• 16 × 10,000

Thus, the final result is:

160,000

The number 160,000 contains four zeros. Therefore, the correct answer is A .

The square of the numbers are

(66)²  = 4356

(67)²  = 4489

(68)²  = 4624

So, the least number to be added = 4624 - 4523 = 101

Hence, the correct answer is  "101 " .

The square of 7 is the largest number between 4 to 50.
3² 4² 5² 6² 7²  so clearly 7²  = 49

the given numbers are 10 consecutive odd numbers  
therefore the answer will be square of 10 = 100

Square root of 529 is 23

12² = 144.

So, the square root of 144 is 12. Therefore, the correct option is a) 12.

To determine which number has a units digit of 6 when squared, we evaluate each option:

• A) 19² = 361 (units digit is 1)
• B) 11² = 121 (units digit is 1)
• C) 24² = 576 (units digit is 6)
• D) 13² = 169 (units digit is 9)

Only option C meets the criteria, so the correct answer is C .