Question

A student has 1234 marbles. He wants to arrange them in equal numbers of rows and columns. The minimum number of marbles that he need more for this purpose are:
1. 62
2. 9
3. 3
4. 1

Answer 1

Correct Answer - Option 1 : 62

Given :

A student has marbles = 1234 

He wants to arrange them in equal numbers of rows and columns.

The minimum number of marbles that he need more for this purpose = ?

Calculation :

Total number of marbles = 1234 

For arranging in equal number of rows and columns, we should find the nearest square

⇒ 35² = 1225, But it is less than 1234

Take the next number 

36² =1296

Minimum number of marbles required = 1296 - 1234 = 62

∴ The minimum number of marbles that he need more for this purpose = 1296 - 1234 = 62