SSC MTS 2024 PYQ — Question 9

SSC MTS - 08/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q9

The average weight of three friends Ram, Ramesh, and Shyam is 76 kg. Somesh joins them, and the average weight of the four friends becomes 74 kg. If Mohan, whose weight is 2 kg more than that of Somesh, replaces Ramesh, the average weight of Ram, Shyam, Somesh, and Mohan becomes 68 kg. Find the weight of Ramesh.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 94 kg.

Ram + Ramesh + Shyam = 76 × 3 = 228 kg

Ram + Ramesh + Shyam + Somesh = 74 × 4 = 296

Somesh = 296 – 228 = 68 kg

Mohan = 68 + 2 = 70 kg

Ram + Shyam + Somesh + Mohan = 68 × 4 = 272

Ram + Shyam + 68 + 70 = 272

Ram + Shyam = 272 – 138 = 134 kg

Ramesh = 228 – 134 = 94 kg