A vessel contains 100 coins of five different colours, each colour contributing 20 coins. Coins of four colours weigh one gram each. Coins of the remaining colour weigh 0.9 gram each. If we use a balance and suitable measuring weights, then what is the minimum number we need to find out the colour of the coins that weigh 0.9 gram?

A vessel contains 100 coins of five different colours, each colour contributing 20 coins. Coins of four colours weigh one gram each. Coins of the remaining colour weigh 0.9 gram each. If we use a balance and suitable measuring weights, then what is the minimum number we need to find out the colour of the coins that weigh 0.9 gram? Correct Answer One time

To get the minimum number to find out the colour of the coins that weigh 0.9 gram, we need to consider the best case.

Here, the best case would be if the coins are divided into three parts such that two parts of 40 coins each and one part of 20 coins.

The two parts of 40 coins each would weigh 40 grams each then the remaining part would weigh 18 grams.

Therefore, minimum once it is required to weigh to get the colour of coins that weigh 0.9 gram.

Hence, option 4 is the correct answer.

Related Questions

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the ratio of coconut oil and milk in the final beaker? If contents from four vessels poured in it. I. Vessel B has 10 ml more capacity than vessel A and the ratio of coconut oil and milk in vessel B is 2 ∶ 7. Vessel C has coconut oil and milk in the ratio 2 ∶ 3 and contains 38 ml more capacity than Vessel D II. Vessel A has milk and coconut oil in the ratio 3 ∶ 5. Vessel C has 12 ml more coconut oil than vessel D.