Question

In a communication network. 4 T1 streams are multiplexed to form 1 T2 stream and 7 T1 streams are multiplexed to form 1 T3 stream. Further 6 T3 streams are multiplexed to form 1 T4 stream. If each T1 stream is of 1.544 Mbps, the data rate of 1 T4 stream should be 
1. 211.8 Mbps
2. 232.6 Mbps
3. 243.4 Mbps
4. 274.2 Mbps

Answer 1

Correct Answer - Option 4 : 274.2 Mbps

Given:

T₁ = 1.544 Mbps
4T₁ = 1T₂
7T₂ = 1T₃
6T₃ = 1T₄
T₂ = 4T₁ = 4 x 1.544

T₃ = 7T₂ = 7 x 4 x 1.544

T₄ = 6T₃ = 4 × 7 × 6 × 1.544
∴ T₄≈ 274.2 Mbps
Note:

The question statement is little wrong. It must be “7T₂ streams are multiplexed to form 1T₃ stream”.