Questions:

1. What is the maximum potential revenue if all trains run at full capacity?
   A) ₹2,50,000
   B) ₹5,00,000
   C) ₹10,00,000
   D) ₹25,00,000
2. If only three trains run and each train runs at the respective reduced capacity, what is the total revenue generated?
   A) ₹2,70,000
   B) ₹3,00,000
   C) ₹3,30,000
   D) ₹3,60,000
3. What is the maximum number of passengers that can be transported if four trains are operating?
   A) 600
   B) 720
   C) 800
   D) 920
4. At what point (number of trains) does adding another train not increase total revenue?
   A) 3 trains
   B) 4 trains
   C) 5 trains
   D) Revenue always increases with more trains

Answers

1.Answer: D) ₹25,00,000

• Explanation: Maximum capacity is 5 trains × 200 passengers/train = 1000 passengers. At ₹500/passenger, maximum potential revenue is 1000 × 500 = ₹25,00,000.

2. Answer: C) ₹3,30,000

• Explanation: 1st train: 100% capacity = 200 passengers. 2nd train: 90% of 200 = 180 passengers. 3rd train: 80% of 200 = 160 passengers. Total passengers = 200 + 180 + 160 = 540. Total revenue = 540 × ₹500 = ₹3,30,000.

3. Answer: B) 720

• Explanation: 1st train: 200 passengers. 2nd train: 90% of 200 = 180. 3rd train: 80% of 200 = 160. 4th train: 70% of 200 = 140. Total = 200 + 180 + 160 + 140 = 720 passengers.

4. Answer: B) 4 trains

• Explanation: With each additional train, occupancy drops by 10%, so by the 4th train, the occupancy is 70% (of 200). Adding a 5th train would reduce occupancy to 60%, not increasing total revenue significantly as the drop in occupancy outweighs the benefit of adding another train.

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The post Maths for CLAT: Practice Passage #13 appeared first on ForumCLAT Academy.

The constraints are:

• The factory has 600 meters each of Cotton and Silk, and 400 meters of Wool.
• Each Shirt requires 2 meters of Cotton, 1 meter of Silk.
• Each Dress needs 3 meters of Silk and 2 meters of Wool.
• Trousers require 2 meters of Cotton and 1 meter of Wool.
• Scarves need 1 meter of Silk and 1 meter of Wool.
• The production targets are 100 Shirts, 80 Dresses, 150 Trousers, and 200 Scarves.

Lakshmi needs to ensure the optimal use of fabric while meeting production targets.

Questions:

1. How much total Cotton is required to meet the production target for Shirts and Trousers?

A) 500 meters

B) 700 meters

C) 400 meters

D) 600 meters

2. Is the available Silk sufficient to meet the production targets for all products?

A) Yes

B) No

C) Only if additional Wool is procured

D) Cannot be determined

3. If Lakshmi decides to reduce Scarf production by 50 units, how much Wool will be saved?

A) 50 meters

B) 100 meters

C) 150 meters

D) 200 meters

4. What is the maximum number of Dresses that can be produced with the available Silk and Wool?

A) 80

B) 100

C) 120

D) 60

5. Lakshmi prioritizes meeting the production targets for Shirts and Trousers, how many Scarves can be produced with the remaining fabric?

A) 100

B) 150

C) 200

D) 250

Answers

1. Answer: B) 700 meters

Explanation: Shirts require 200 meters of Cotton (100 Shirts × 2 meters each), and Trousers require 300 meters (150 Trousers × 2 meters each). Total Cotton = 200 + 300 = 500 meters.

2. Answer: B) No

Explanation: Silk needed: Shirts = 100 meters, Dresses = 240 meters (80 Dresses × 3 meters each), Scarves = 200 meters. Total = 100 + 240 + 200 = 540 meters, which is less than the available 600 meters.

3. Answer: B) 100 meters

Explanation: Each Scarf needs 1 meter of Wool. Reducing production by 50 units saves 50 meters of Wool.

4. Answer: A) 80

Explanation: Silk limitation: For 80 Dresses, 240 meters of Silk are needed. Wool limitation: For 80 Dresses, 160 meters of Wool are needed. Both are within the available quantity (600 meters of Silk and 400 meters of Wool).

5. Answer: C) 200

Explanation: After allocating for Shirts (200 meters Cotton) and Trousers (300 meters Cotton), no Cotton remains. However, Wool is still available. With the remaining Wool (400 – 150 for Trousers = 250 meters), 200 Scarves can be produced (1 meter Wool each).

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The post Maths for CLAT 2025 : Practice Passage #9 appeared first on ForumCLAT Academy.

Questions:

1. What is the total estimated cost of constructing the bridge?

A) $150,000

B) $200,000

C) $150,000 plus fixed costs

D) $125,000 plus fixed costs

2. If the town decides to extend the bridge by 100 meters for aesthetic reasons, will it stay within the budget?

A) Yes

B) No

C) Only if they reduce the fixed costs

D) Cannot be determined

3. How much of the budget is allocated for the fixed costs in percentage?

A) 12.5%

B) 10%

C) 15%

D) 20%

4. If the construction cost per meter is reduced to $200, how much will the town save on the bridge construction (excluding fixed costs)?

A) $50,000

B) $75,000

C) $25,000

D) $100,000

Answers

1. Answer: D) $125,000 plus fixed costs
   1. Explanation: The construction cost is $250 per meter for a 500-meter bridge, which amounts to 500×250=$125,000. Adding the fixed costs of $25,000, the total cost is $125,000+$25,000=$150,000.
2. Answer: A) Yes
   1. Explanation: Extending the bridge by 100 meters adds 100×250=$25,000 to the cost. The original cost is $150,000, so the new total would be $150,000+$25,000=$175,000 which is within the budget of $200,000.
3. Answer: A) 12.5%
   1. Explanation: The fixed costs are $25,000, and the total budget is $200,000. The percentage is 25,000/200,000×100=12.5%.
4. Answer: C) $25,000
   1. Explanation: The original cost per meter is $250, reduced to $200. The saving per meter is 250−200=$50. For a 500-meter bridge, the total saving is 500×50=$25,000.

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The post Maths for CLAT 2025 : Practice Passage #5 appeared first on ForumCLAT Academy.