Squares and Square Roots Test

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Squares and Square Roots Test - 4

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following numbers is definitely not a perfect square?

A
960400

B
23235722

C
23338561

D
1046529

Solution

If a number is a perfect square, it must end with 0, 1, 4, 9, 6 or 5.
23235722 ends with 2.
So, 23235722 can never be a perfect square.
Question 2
1 / -0

If one of the numbers in the Pythagorean triplet is 35, then which of the following triplets is correct?

A
13, 35, 37

B
14, 35, 38

C
12, 35, 36

D
12, 35, 37

Solution

Let m² - 1 = 35
∴ m² = 36
m = 6
So, 2m = 2 ×6 = 12
m² + 1 = 37
So, required Pythagorean triplet = 12, 35, 37
Question 3
1 / -0

Which of the following is the smallest square number, which is divisible by 66, 99 and 154?

A
(461)²

B
(462)²

C
(322)²

D
(576)²

Solution

We need to find the LCM of 66, 99 and 154.
LCM = 2 × 3 × 11 × 3 × 7

This is not a perfect square.
∴ We multiply it by 11 × 7 × 2 to make it a perfect square.

∴ Reguired square number = 2 × 2 × 3 × 3 × 7 × 7 × 11 × 11

= (2 × 3 × 7 × 11)²
= (462)²
Question 4
1 / -0

Sonia and Ravi have the same amount of money. If the product of their amounts (in rupees) is 6084, then how much money does Sonia have?

A
Rs. 68

B
Rs. 86

C
Rs. 78

D
Rs. 88

Solution

Let the amount of money (in rupees) with Sonia = x
Then, the amount of money (in rupees) with Ravi = x

∴ Product of their amounts = x² = 6084
Square Root of 6084 is 78

Amount of money with Sonia = Rs. 78
Question 5
1 / -0

What will be the number of zeros (at the end) in the squares of the following numbers, respectively?

720, 93600 and 731000

A
1, 2 and 3

B
2, 3 and 6

C
2, 4 and 6

D
2, 4 and 4

Solution

The number of zeros gets doubled after squaring a number.
∴ (720)² will have 2 zeros.
(93600)² will have 4 zeros.
(731000)² will have 6 zeros.

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Re-Attempt Weekly Quiz Competition

Squares and Square Roots Test - 4

Result

Squares and Square Roots Test - 4

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SHARING IS CARING

Question 1

960400

23235722

23338561

1046529

Solution

Question 2

13, 35, 37

14, 35, 38

12, 35, 36

12, 35, 37

Solution

Question 3

(461)2

(462)2

(322)2

(576)2

Solution

Question 4

Rs. 68

Rs. 86

Rs. 78

Rs. 88

Solution

Question 5

1, 2 and 3

2, 3 and 6

2, 4 and 6

2, 4 and 4

Solution

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(461)²

(462)²

(322)²

(576)²