Square Root And Cube Root Test

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Square Root And Cube Root Test - 3

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Weekly Quiz Competition

Question 1
2 / -0.83

Find the least number that must be subtracted from 5607 so as to get a perfect square.

A
130

B
135

C
131

D
none of these

Solution

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
Question 2
2 / -0.83

What will be the number of zeros in the square of 60?

A
1

B
2

C
3

D
none of these

Solution

The square of 60 is 3600. Therefore, the number of zeroes is 2.
Question 3
2 / -0.83

How many natural numbers lie between 9² and 10² ?

A
36

B
27

C
9

D
18

Solution

- To find the natural numbers between 9 ²and 10 ², first calculate the squares:
- 9 ²= 81
- 10 ²= 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.
Question 4
2 / -0.83

Find the square of 39.

A
1500

B
78

C
1521

D
none of these

Solution

(40-1)² = 1600+1-80 = 1521
Question 5
2 / -0.83

Without adding, find the sum. 1 + 3 + 5 + 7 + 9 + 11 + 13

A
36

B
49

C
25

D
19

Solution

Total consecutive odd numbers (n) = 7
We know that, Sum = n²
= 7²
= 49
Hence, the correct answer is 49
Question 6
2 / -0.83

Find the square root of 729.

A
29

B
28

C
27

D
30

Solution

The square root of 729 is 27.
Question 7
2 / -0.83

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

A
3

B
9

C
1

D
none of these

Solution

If a number has 1 or 9 in the unit ’s place, then it ’s square ends in 1
Question 8
2 / -0.83

None of the square numbers end with _________ at unit ’s place.

A
3

B
2

C
7

D
2, 3, 7 or 8

Solution

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.
Question 9
2 / -0.83

________ is the inverse operation of square.

A
Square root

B
Cube root

C
Square

D
none of these

Solution

The inverse of squaring a number is square root.
Question 10
2 / -0.83

Find the perfect square numbers between 50 and 60.

A
64

B
49

C
no number

D
none of these

Solution

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.
Question 11
2 / -0.83

What is the least perfect square which is divisible by 2, 4 and 6?

A
36

B
64

C
16

D
18

Solution

LCM of 2,4,6= 2 ×1 ×2 ×3=12
Least perfect square which is a multiple of 12 is 36.
Question 12
2 / -0.83

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.

A
55

B
65

C
45

D
none of these

Solution

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.
Question 13
2 / -0.83

Find the greatest 4-digit number which is a perfect square.

A
9990

B
9801

C
9999

D
none of these

Solution

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.
Question 14
2 / -0.83

What will be the number of zeros in the square of 400?

A
4

B
1

C
3

D
2

Solution

Square of 400 = 160000
Hence, the number of zeroes is 4
Question 15
2 / -0.83

What is the least number to be added to 4523 to make it a perfect square?

A
101

B
105

C
110

D
238

Solution

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 " .
Question 16
2 / -0.83

The largest perfect square between 4 and 50 is

A
25

B
36

C
49

D
45

Solution

The square of 7 is the largest number between 4 to 50.
3² 4² 5² 6² 7² so clearly 7² = 49
Question 17
2 / -0.83

Without adding, find the sum of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19

A
100

B
64

C
49

D
81

Solution

the given numbers are 10 consecutive odd numbers
therefore the answer will be square of 10 = 100
Question 18
2 / -0.83

Find the square root of 529.

A
24

B
23

C
25

D
none of these

Solution

Square root of 529 is 23
Question 19
2 / -0.83

What is the square root of 144?

A
21

B
14

C
12

D
10

Solution

12² = 144.
So, the square root of 144 is 12. Therefore, the correct option is a) 12.
Question 20
2 / -0.83

Which of the following numbers will have 6 at unit place?

A
19²

B
11²

C
24²

D
13²

Solution

Answer: C
Explanation: 24² = 24 x 24 = 576

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Square Root And Cube Root Test - 3

Result

Square Root And Cube Root Test - 3

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SHARING IS CARING

Question 1

130

135

131

none of these

Solution

Question 2

1

2

3

none of these

Solution

Question 3

36

27

9

18

Solution

Question 4

1500

78

1521

none of these

Solution

Question 5

36

49

25

19

Solution

Question 6

29

28

27

30

Solution

Question 7

3

9

1

none of these

Solution

Question 8

3

2

7

2, 3, 7 or 8

Solution

Question 9

Square root

Cube root

Square

none of these

Solution

Question 10

64

49

no number

none of these

Solution

Question 11

36

64

16

18

Solution

Question 12

55

65

45

none of these

Solution

19²

11²

24²

13²