The following missing data table presents the annual cargo volume (in Thousand Metric Tonn… — State PSC Exam

The following missing data table presents the annual cargo volume (in Thousand Metric Tonnes, TMT) handled across three terminals (Terminal A, Terminal B, and Terminal C) at a major seaport for three distinct cargo categories: Bulk Cargo, Liquid Cargo, and Containerized Cargo.

Terminal	Bulk Cargo	Liquid Cargo	Containerized Cargo	Total
Terminal A	120	—	150	450
Terminal B	—	210	180	500
Terminal C	160	140	—	420
Total	390	530	450	1370

Based on the table above, what is the volume of Liquid Cargo (in Thousand Metric Tonnes) handled by Terminal A?

Answer: 180 Thousand Metric Tonnes

Answer

The volume of Liquid Cargo handled by Terminal A is 180 Thousand Metric Tonnes.

The row total for Terminal A is

450\text{ TMT}

. The known components are Bulk Cargo (

120\text{ TMT}

) and Containerized Cargo (

150\text{ TMT}

). Subtracting these from the total yields

450 - (120 + 150) = 180\text{ TMT}

. Alternatively, using the column total for Liquid Cargo (

530\text{ TMT}

) minus the Liquid Cargo of Terminal B (

210\text{ TMT}

) and Terminal C (

140\text{ TMT}

) gives

530 - 350 = 180\text{ TMT}

Step-by-Step Solution

Examine the row for Terminal A to find total cargo and known cargo types

Total cargo for Terminal A =

450\text{ TMT}

, Bulk Cargo =

120\text{ TMT}

, Containerized Cargo =

150\text{ TMT}

The sum of all cargo categories for a terminal equals the row total.

Calculate the sum of known cargo categories for Terminal A

120 + 150 = 270\text{ TMT}

Combining known entries simplifies finding the unknown value.

Subtract the sum of known categories from the row total

450 - 270 = 180\text{ TMT}

Liquid Cargo for Terminal A is the remaining portion of its total cargo volume.

Cross-verify using the column total for Liquid Cargo

Total Liquid Cargo =

530\text{ TMT}

. Liquid Cargo for Terminal B =

210\text{ TMT}

and Terminal C =

140\text{ TMT}

. Terminal A Liquid Cargo =

530 - (210 + 140) = 530 - 350 = 180\text{ TMT}

Cross-verification confirms numerical consistency.

Key Concept

Missing Data Interpretation via Row and Column Equations

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