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Solve this faster with the right shortcut first
Shortcut used: Identify the quantity asked, write the given values, then apply the direct arithmetic formula.
Solve in 3 steps:
- List the given numbers and units.
- Choose the formula that matches the asked value.
- Simplify carefully and compare with options.
Common mistake: Do not use a reasoning pattern shortcut in a quantitative question.
Question 1
Multiple Choice Question
Question
A pipe fills a tank in 10 hours, while a leak empties it in 15 hours. If both operate together, how long will the empty tank take to fill?
Explanation
Correct Answer: D
ANSWER
Correct Answer: D
Method / Topic: Pipes and Cisterns
The tank will fill in 30 hours.
Why this answer is correct
The answer follows from the arithmetic relation between the given values.
Short Explanation
The tank will fill in 30 hours.
Detailed Explanation
Question
A pipe fills a tank in 10 hours, while a leak empties it in 15 hours. If both operate together, how long will the empty tank take to fill?
ANSWER
Correct Answer: D
Method / Topic: Pipes and Cisterns
Net rate = 1/10-1/15 = 1/30 tank per hour. Therefore, time = 30 hours.
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Question 1
Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake
Learn + solve
Shortcut used, common trap, and the fastest solving route
Shortcut used: Identify the quantity asked, write the given values, then apply the direct arithmetic formula.
Solve in 3 steps:
- List the given numbers and units.
- Choose the formula that matches the asked value.
- Simplify carefully and compare with options.
Common mistake: Do not use a reasoning pattern shortcut in a quantitative question.
Question
A pipe fills a tank in 10 hours, while a leak empties it in 15 hours. If both operate together, how long will the empty tank take to fill?
Explanation
Correct Answer: D
ANSWER
Correct Answer: D
Method / Topic: Pipes and Cisterns
The tank will fill in 30 hours.
Why this answer is correct
The answer follows from the arithmetic relation between the given values.
Short Explanation
The tank will fill in 30 hours.
Detailed Explanation
Question
A pipe fills a tank in 10 hours, while a leak empties it in 15 hours. If both operate together, how long will the empty tank take to fill?
ANSWER
Correct Answer: D
Method / Topic: Pipes and Cisterns
Net rate = 1/10-1/15 = 1/30 tank per hour. Therefore, time = 30 hours.
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