Question

In Mahesh’s opinion, his weight is greater than 55 kg but less than 62 kg and the weight is considered in an integer. His brother does not agree with Mahesh and he thinks that Mahesh’s weight is greater than 50 kg but less than 60 kg. His mother’s view is that his weight is less than 58 kg. If all of them are correct in their estimation, then find the average of different probable weights of Mahesh?
1. 50
2. 56.5
3. 56
4. Data inadequate

Answer 1

Correct Answer - Option 2 : 56.5

Given:

Mahesh’s opinion = weight is greater than 55 kg but less than 62 kg

His brother’s opinion = weight is greater than 50 kg but less than 60 kg

His mother’s opinion = weight is less than 58 kg

Calculations:

Let Mahesh’s weight be x kg.

According to Mahesh his age is 55 < x < 62

According to Mahesh’s brother 50 < x < 60

According to Mahesh’s mother x < 58

⇒ From above three statements 55 < x < 58

⇒ Probable weights are either 56 kg or 57 kg

Required Average = (56 + 57)/2

⇒ 113/2

⇒ 56.5 kg

The average of different probable weights of Mahesh is 56.5 kg.