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Class 8 Exam  >  Class 8 Tests  >  Test: Squares And Square Roots- 2 - Class 8 MCQ

Test: Squares And Square Roots- 2 - Class 8 MCQ


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20 Questions MCQ Test - Test: Squares And Square Roots- 2

Test: Squares And Square Roots- 2 for Class 8 2024 is part of Class 8 preparation. The Test: Squares And Square Roots- 2 questions and answers have been prepared according to the Class 8 exam syllabus.The Test: Squares And Square Roots- 2 MCQs are made for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Squares And Square Roots- 2 below.
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Test: Squares And Square Roots- 2 - Question 1
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Find the least number that must be subtracted from 5607 so as to get a perfect square.

Detailed Solution for Test: Squares And Square Roots- 2 - Question 1

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

Test: Squares And Square Roots- 2 - Question 2
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What will be the number of zeros in the square of 60?

Detailed Solution for Test: Squares And Square Roots- 2 - Question 2

The square of 60 is 3600. Therefore, the number of zeroes is 2. 

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Test: Squares And Square Roots- 2 - Question 3
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How many natural numbers lie between 92 and 102?

Detailed Solution for Test: Squares And Square Roots- 2 - Question 3

- 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.

Test: Squares And Square Roots- 2 - Question 4
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Find the square of 39.
Detailed Solution for Test: Squares And Square Roots- 2 - Question 4

(40-1)2 = 1600+1-80 = 1521

Test: Squares And Square Roots- 2 - Question 5
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Without adding, find the sum. 1 + 3 + 5 + 7 + 9 + 11 + 13
Detailed Solution for Test: Squares And Square Roots- 2 - Question 5

Total consecutive odd numbers (n) = 7 

We know that, Sum = n2

= 72

= 49

Hence, the correct answer is 49 

Test: Squares And Square Roots- 2 - Question 6
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Find the square root of 729.
Detailed Solution for Test: Squares And Square Roots- 2 - Question 6

The square root of 729 is 27.

Test: Squares And Square Roots- 2 - Question 7
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If a number has 1 or 9 in the unit’s place, then it’s square ends in ________.
Detailed Solution for Test: Squares And Square Roots- 2 - Question 7

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

Test: Squares And Square Roots- 2 - Question 8
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None of the square numbers end with _________ at unit’s place.
Detailed Solution for Test: Squares And Square Roots- 2 - Question 8

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. 

Test: Squares And Square Roots- 2 - Question 9
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________ is the inverse operation of square.
Detailed Solution for Test: Squares And Square Roots- 2 - Question 9

The inverse of squaring a number is square root. 

Test: Squares And Square Roots- 2 - Question 10
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Find the perfect square numbers between 50 and 60.
Detailed Solution for Test: Squares And Square Roots- 2 - Question 10

Since we have 72=49 and 82=64. And both numbers lies outside 50 and 60 There is no perfect square between 50 and 60.

Test: Squares And Square Roots- 2 - Question 11
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What is the least perfect square which is divisible by 2, 4 and 6?
Detailed Solution for Test: Squares And Square Roots- 2 - Question 11

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

Test: Squares And Square Roots- 2 - Question 12
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2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of plants in each row.
Detailed Solution for Test: Squares And Square Roots- 2 - Question 12

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.

Test: Squares And Square Roots- 2 - Question 13
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Find the greatest 4-digit number which is a perfect square.
Detailed Solution for Test: Squares And Square Roots- 2 - Question 13

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. 

Test: Squares And Square Roots- 2 - Question 14
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What will be the number of zeros in the square of 400?
Detailed Solution for Test: Squares And Square Roots- 2 - Question 14

Square of 400 = 160000

Hence, the number of zeroes is 4 

Test: Squares And Square Roots- 2 - Question 15
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What is the least number to be added to 4523 to make it a perfect square?
Detailed Solution for Test: Squares And Square Roots- 2 - Question 15

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".

Test: Squares And Square Roots- 2 - Question 16
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The largest perfect square between 4 and 50 is
Detailed Solution for Test: Squares And Square Roots- 2 - Question 16

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

Test: Squares And Square Roots- 2 - Question 17
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Without adding, find the sum of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19
Detailed Solution for Test: Squares And Square Roots- 2 - Question 17

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

Test: Squares And Square Roots- 2 - Question 18
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Find the square root of 529.
Detailed Solution for Test: Squares And Square Roots- 2 - Question 18

Square root of 529 is 23

Test: Squares And Square Roots- 2 - Question 19
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What is the square root of 144?
Detailed Solution for Test: Squares And Square Roots- 2 - Question 19

122 = 144.

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

Test: Squares And Square Roots- 2 - Question 20
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Which of the following numbers will have 6 at unit place?
Detailed Solution for Test: Squares And Square Roots- 2 - Question 20

Answer: C

Explanation: 242 = 24 x 24 = 576

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