Squares And Square Roots- 2 - Class 8 Maths Free MCQ Test with solutions

To determine the number of zeros in the square of 60, first calculate 60².

Calculating step-by-step:

• 60 × 60 = 3600

The result is 3600, which contains two zeros. Therefore, the number of zeros in the square of 60 is 2.

Total consecutive odd numbers (n) = 7 

We know that, Sum = n²

= 7²

= 49

Hence, the correct answer is 49 

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.

Square of 75 is 5625 square of 74 is 5476 so use must get 5476

5607 - x is 5476

x is 131

Square root of 5476 is 74

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

The inverse operation of squaring a number (raising it to the power of 2) is taking its square root, which returns the original number.

If a number has 1 or 9 in the unit’s place, then it’s square ends in 1

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.

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 root of 729 is 27.

According to the Property 1, A number having 2, 3, 7 or 8 at it's unit's place is never a perfect square. In other words, no square number ends in 2, 3, 7 or 8. 

- To find the natural numbers between 9² and 10², first calculate the squares:
- 9² = 81
- 10² = 100
- The natural numbers between 81 and 100 are:
- 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99
- There are 18 natural numbers in total.
- Thus, the correct answer is 18.

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

• A square root of a number is a value that, when multiplied by itself, equals that number.
• Check: 12 × 12 = 144.
• Other choices give wrong products (10×10=100, 14×14=196, 21×21=441).
• Therefore, the only correct option is 12.

The perfect squares between 4 and 50 are:

• 9 (3 x 3)
• 16 (4 x 4)
• 25 (5 x 5)
• 36 (6 x 6)
• 49 (7 x 7)

Among these, the largest is 49.

To find the square of 39, we can use the algebraic identity:

(a - b)² = a² - 2ab + b²

Let’s take:

• a = 40
• b = 1

Now, substituting these values into the identity:

(40 - 1)² = 40² - 2 * 40 * 1 + 1²

Calculating each term gives:

• 40² = 1600
• - 2 * 40 * 1 = -80
• 1² = 1

Putting it all together:

1600 - 80 + 1 = 1521.

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. 

Square root of 529 is 23

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.

To find perfect square numbers between 50 and 60, we look for squares of whole numbers.

The perfect squares close to this range are:

• 7² = 49
• 8² = 64

Both 49 and 64 are outside the range of 50 to 60. Therefore, there are no perfect squares between 50 and 60.