Question

Q.11 - What will be least number of marbles with Rohit if he can
arrange them in rows of 18, 10 and 15 marbles each as well as make a
perfect solid square out of all the marbles?

NO SPAMMING!!!

OR ELSE I WILL REPORT YOUR ANSWER​

Answer 1

Answer:

• 900 is the perfect solid square out of all the marbles.

Given :

• Rows of 18, 10 and 15 marbles each as well as make a perfect solid square out of all the marbles.

To find :

• The perfect solid square out of all the marbles =?

Step-by-step explanation:

We need the least number, which means we must first find LCM of 18,10 and 15.

3|18,10, 16

|__________

2|6, 10, 5

|__________

5|3, 5 , 5

|__________

|3, 1, 1

|__________

∴ LCM = 3 x 2 x 5 x 3 = 90.

90 is not a perfect square.

90 = 3 x 3 x 2 x 5

Here, there are two 3’s (this gives square of 3) but only one 2 and one 5

If we multiply by 2 and 5 then we gest, 3 × 3 × 2 × 2 × 5 × 5 = 900

900 is perfect square = number of marbles

Thus, 900 is the perfect solid square out of all the marbles.