In each of questions two quantities I an...

In each of questions two quantities I and II are given compare both quantities choose correct option and give your answer accordingly
Quantity I:x :A pipe alone can fill a cistern in 60 min but due to leakage the pipe could fill only 80% of cistern in 1 hour x is capacity of cistern if due to leakge 60 litres out in 1 hour
QuantityII:250 litres

`quantityIltquantityII`

`quantity I gtquantityII`

`quantityIleqquantityII`

`quantityIgeqquantityII`

Text Solution

AI Generated Solution

The correct Answer is:

To solve the problem, we need to find the capacity of the cistern, denoted as \( x \), based on the information provided about the pipe and the leakage. ### Step-by-Step Solution: 1. **Understanding the Filling Capacity of the Pipe**: - A pipe can fill a cistern in 60 minutes (1 hour). Therefore, the filling rate of the pipe is \( \frac{x}{60} \) liters per minute. 2. **Calculating the Effective Filling Due to Leakage**: - Due to leakage, the pipe can only fill 80% of the cistern in 1 hour. This means in 1 hour, the pipe fills \( 0.8x \) liters. 3. **Considering the Leakage**: - We know that 60 liters leak out in 1 hour. Thus, the effective amount of water filled by the pipe after accounting for the leakage is: \[ \text{Effective filling} = \text{Filling by pipe} - \text{Leakage} \] - Therefore, we can write: \[ 0.8x = \frac{x}{60} \times 60 - 60 \] - Simplifying this gives: \[ 0.8x = x - 60 \] 4. **Rearranging the Equation**: - Rearranging the equation to isolate \( x \): \[ 0.8x + 60 = x \] \[ 60 = x - 0.8x \] \[ 60 = 0.2x \] 5. **Solving for \( x \)**: - Now, we can solve for \( x \): \[ x = \frac{60}{0.2} = 300 \text{ liters} \] 6. **Comparing with Quantity II**: - Now we compare \( x \) (300 liters) with Quantity II (250 liters): \[ 300 > 250 \] ### Conclusion: - Since \( x = 300 \) liters is greater than 250 liters, we conclude that Quantity I is greater than Quantity II. ### Final Answer: - The correct option is that Quantity I is greater than Quantity II. ---

Similar Questions

Explore conceptually related problems

Quantity I: 'x': A pipe alone can fill a cistern in 60 minutes. But due to leakage pipe filled only 80% of the cistern in 1 hour. 'x' is the capacity of cistern in litres of due to leakage 60 liter can be leaked out in 1 hour. Quantity II: 250 liters

Two pipes A and B can fill a cistern in 37(1/2) and 45 min, respectively. Both pipes are opened. The cistern will be filled in just half an hour, if pipe B is turned off after (a) 5 min

Two pipes X and Y can fill a cistern in 6 and 7 min, respectively. Starting with pipe X, both the pipes are opened alternately, each for 1 min. In what time will they fill the cistern?

Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers. Quantity I: A 63 litres mixture of wine and water contains wine and water in the ratio 5: 4 respectively. A lady added another 49 litres mixture of wine and water which contains wine and water in the ratio 4: 3 respectively. Another lady added 12 litres of wine and 1 litres of water into the mixture. The final mixture is divided into three containers in the ratio 2: 2: 1 respectively. Find the difference between quantities of water in the first and third container. Quantity II: Ratio of milk and water in a mixture is 13: 7 respectively. The milkman added 5 litres of milk and 15 litres of water to the mixture and hence the ratio becomes 7: 5 respectively. The milkman sold 50% of the new mixture and added 10 litres of milk and 8 litres of water to the remaining mixture. Find the difference between the quantities of milk and water in the final mixture.

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer 1) if the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question. 2) if the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question. 3) if the data either in statement I alone or in statement II alone are sufficient to answer the question. 4) if the data given in both statements I and II together are not sufficient to answer the question. 5) if the data in both statements I and II together are necessary to answer the question. Z is in which direction with respect of X? I. Y is to the South of X and Z is to the East of P, which is to the North of Y. II. P is to the South of X.

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer 1) if the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question. 2) if the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question. 3) if the data either in statement I alone or in statement II alone are sufficient to answer the question. 4) if the data even in both statements I and II together are not sufficient to answer the question. 5) if the data in both statements I and II together are necessary to answer the question. Pillar 'X’ is in which direction with respect to pillar 'Y'. I. Z is to the South of Y. II. M is to the West of Z and to the South of X.

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer 1) if the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question. 2) if the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question. 3) if the data either in statement I alone or in statement II alone are sufficient to answer the question, 4) if the data even in both statements I and II together are not sufficient to answer the question. 5) if the data in both statements I and II together are necessary to answer the question. Can Rohan retire from office ‘X’ in January 2000 with full pension benefits? I. Rohan will complete 30 years of service in office X' in April 2000 and desires to retire. II. As per office 'X' rules, an employee has to complete minimum 30 years of service and attain age of 60. Rohan has 3 years to complete of 60.

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. What is the distance between P and Q? I, Travelling on foot, Ram takes ten hours to reach P from his home but twenty hours to reach Q from his home. II. Ram walks at the speed of 4 km per hour. Give answer 1) if the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question. 2) if the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question. 3) if the data either in statement I alone or in statement II alone are sufficient to answer the question. 4) if the data even in both statements I and II together are not sufficient to answer the question. 5) if the data in both statements I and II together are necessary to answer the question.

Text Solution

Similar Questions

Recommended Questions