5 Views

Question : The average weight of three men, A, B and C is 84 kg. Another man, D, joins the group and the average now becomes 80 kg. If another man, E, whose weight is 3 kg more than that of D, replaces A, then the average weight of B, C, D and E becomes 79 kg. Then the weight of A is:

Option 1: 72 kg

Option 2: 74 kg

Option 3: 75 kg

Option 4: 76 kg


Team Careers360 24th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 75 kg


Solution : Given: The average weight of three men, A, B, and C, is 84 kg. Another man, D, joins the group and the average now becomes 80 kg. If another man, E, whose weight is 3 kg more than that of D, replaces A, then the average weight of B, C, D, and E becomes 79 kg.
Total weight of A + B + C = (84 × 3) = 252 kg
Total weight of A + B + C + D = (80 × 4) = 320 kg
So, the weight of D = (320 – 252) = 68 kg
Now weight of E = (68 + 3) = 71 kg
Total weight of B + C + D + E = (79 × 4) = 316 kg
So, the total weight of B + C = (316 – 68 – 71) = 177 kg
$\therefore$ The weight of A = (252 – 177) = 75 kg
Hence, the correct answer is 75 kg.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
GRE ® Registrations 2024
Apply
Apply for GRE® Test now & save 10% with ApplyShop Gift Card | World's most used Admission Test for Graduate & Professional Schools
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books