Squares And Square Roots Test

Result

Squares And Square Roots Test - 2

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Question 1
1 / -0

Boxes A, B and C have candies in the ratio 1 : 2 : 3 and the sum of their squares is 1400. Find how many candies are there in box B.

A
20

B
25

C
30

D
35

Solution

Let the number of candies in boxes A, B and C be x, 2x and 3x, respectively.
They are in the ratio 1 : 2 : 3.
As per the information given in the question,

x² + 4x² + 9x² = 1400
14x² = 1400
x = 10

So, candies in boxes A, B and C are 10, 20 and 30, respectively.
So, candies in box B = 20
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

Anamika was arranging cakes in rows to form a perfect square and while she was doing that, 41 cakes were left out. The total number of cakes was 12141. How many cakes were in a row?

A
110

B
121

C
131

D
141

Solution

Total number of cakes = 12141
Number of cakes left out = 41
Total number of cakes arranged = 12100
Let the number of cakes in row = x
x² = 12100
x = 110
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