Question

Least count of instrument or set of measuring device is least quantity it is able to measure correctly. Assume you have three containers of capacity 11 liters, 6 liters and 3 liters. Minimum quantity that it can measure correctly is x liters. Then find the value of x. [There are no markings on the containers]

Answer 1

1

Answer 2

The least quantity that can be measured correctly using a set of containers is the Greatest Common Divisor (GCD) of their capacities. We need to find the GCD of 11, 6, and 3.

First, find the GCD of 6 and 3: $\text{GCD}(6, 3) = 3$ (since 3 divides 6 evenly).

Next, find the GCD of the result (3) and the remaining capacity (11): $\text{GCD}(11, 3)$. The divisors of 11 are 1 and 11. The divisors of 3 are 1 and 3. The greatest common divisor is 1. $\text{GCD}(11, 3) = 1$.

Therefore, $x = \text{GCD}(11, 6, 3) = 1$. This means the minimum quantity that can be measured correctly is 1 liter.