Question

In the first row, 256 chocolates are distributed among the students of class 5. If the number of chocolates obtained by each student is the same as the number of students in the class, find the number of students in the class?

a) 8
b) 16
c) 32
d) 64

Answer 1

The number of students in the class must be the square root of 256, which is 16. Therefore, the correct answer is option b) 16, since 16 squared equals 256.

Step-by-step explanation:

To determine the number of students in the class, we need to find a number such that the product of the number of students and the number of chocolates each student gets is equal to 256. Let's denote the number of students in the class as n. Since each student receives n chocolates, the total chocolates distributed would be n times n, which equals n2. We are looking for a perfect square that matches 256, and we know that:

• 82 = 64,
• 162 = 256,
• 322 = 1024, and
• 642 = 4096.

From these calculations, we see that the only perfect square that is equal to 256 is 162. Therefore, the number of students in the class is 16, which corresponds to option b).