Question:medium

Average of 5 integers is 38 and all the numbers are between 0 and 50 (both inclusive). In these 5 numbers, a is the minimum. If exactly 3 of them are more than 32, find the difference between the minimum and the maximum value of a.

Updated On: Jan 12, 2026
Show Solution

Solution and Explanation

The average marks for all students is \(38\).
The total marks are \(5\times38=190\).
The maximum scores of the remaining students are \(= 50 +49 +48 + 32 = 179\).
The minimum possible score is \(= 190 - 179 = 11\).
\(⇒\) The maximum possible score is \(=31\).
The difference between the minimum and the maximum value is \(31-11 = 20\).

Therefore, the answer is \(20\).

Was this answer helpful?
1

Top Questions on Averages

Questions Asked in CAT exam

The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage.
In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. In a globalized era of the modern world, artists draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred.
Cultural appropriation occurs when elements from a particular culture are borrowed without proper understanding, respect, or acknowledgment. This leads to the commodification of sacred symbols, the reinforcement of stereotypes, and the erasure of the cultural context from which these elements originated. It is essential to recognize that the impact of cultural appropriation extends beyond the realm of artistic expression, influencing societal perceptions and perpetuating power imbalances.
View Solution