Multiple choice

Passage

Directions: Read the data given below carefully and answer the question. The data shows the volume and dimensions (length, breadth, and height) of four cuboidal tanks: A, B, C, and D. The data also depicts the time taken to fill or empty the tanks by inlet pipes X, Y, and the outlet pipe Z. 1. The breadth of tank D is 14 m. Tank Data: Tank Volume (m³) Dimensions: L × B × H (m) Time taken by pipe X to fill (hours) Ratio of time taken by pipe Y to fill and pipe Z to empty A 3,600 20 × 15 × ---- 10 2 : 3 B ----- 25 × 12 × 12 3 : 2 C 4,500 ---- × 6 × 15 18 1 : 4 D 16,800 14 × ---- × ---- ----- 3 : 5

Another tank E has its height 20% more than that of tank C and its length and breadth are each 15% more than those of tank A. What is the sum of the lateral surface area of tanks A and E together (approx.)?

  1. 2,189 m2

  2. 2,289 m2

  3. 2,560 m2

  4. 3,589 m2

  5. 4,990 m2
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B Correct answer
Explanation

Lateral surface area of a cuboid is 2h(l+b). Calculate dimensions for A and E based on the provided data and percentage increases, then sum them.

AI explanation

Using the previous tank dimensions, tank A has a length of 20 m, breadth of 15 m, and height of 12 m. The lateral surface area of tank A is 2 * (20 + 15) * 12 = 840 sq m. For tank E, the height is 20% more than tank C's height of 15 m, making it 18 m. The length and breadth of tank E are 15% more than tank A's dimensions, yielding 23 m and 17.25 m respectively. The lateral surface area of tank E is 2 * (23 + 17.25) * 18 = 2 * 40.25 * 18 = 1449 sq m. The sum of the lateral surface areas of tanks A and E is 840 + 1449 = 2289 sq m.

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