In a class of 60 students, the average height of 20 students is x centimeter, the average height of other 20 students is y centimeter and the average height of the remaining 20 students is z centimeter. Find the average height of the whole class.

This question was previously asked in
UGC NET Paper 1: Held on 11th Mar 2023 Shift 1
View all UGC NET Papers >
  1. (x + y + z)/60 cm
  2. 30 cm
  3. (x + y + z)/20 cm
  4. (x + y + z)/3 cm

Answer (Detailed Solution Below)

Option 4 : (x + y + z)/3 cm
Free
UGC NET Paper 1: Held on 21st August 2024 Shift 1
16.4 K Users
50 Questions 100 Marks 60 Mins

Detailed Solution

Download Solution PDF

Given:

The class has a total of 60 students

Calculation:

The average height of 20 students is x cm, Total height = 20x

Similarly total height of next 20 students = 20y and for next 20 students = 20z

The average height of the whole class = (20x + 20y + 20z)/60 = \(\frac{20 \times (x + y + z)}{60} \) = (x + y + z)/3 cm

∴ The correct answer is option 4

Latest UGC NET Updates

Last updated on Jul 17, 2025

-> The UGC NET June Result 2025 will be released on the official website ugcnet.nta.ac.in on 22nd July 2025.

-> The UGC NET Answer Key 2025 June was released on the official website ugcnet.nta.ac.in on 06th July 2025.

-> The UGC NET June 2025 exam will be conducted from 25th to 29th June 2025.

-> The UGC-NET exam takes place for 85 subjects, to determine the eligibility for 'Junior Research Fellowship’ and ‘Assistant Professor’ posts, as well as for PhD. admissions.

-> The exam is conducted bi-annually - in June and December cycles.

-> The exam comprises two papers - Paper I and Paper II. Paper I consists of 50 questions and Paper II consists of 100 questions. 

-> The candidates who are preparing for the exam can check the UGC NET Previous Year Papers and UGC NET Test Series to boost their preparations.

More Average Questions

Get Free Access Now
Hot Links: teen patti gold apk download teen patti jodi teen patti bindaas teen patti joy teen patti master apk