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The clock at Ravi's house loses 3 minutes daily and his office clock gains 4 minutes daily. They are set right at 3 p.m. What time will the slower clock indicate the next day, when the office clock shows 9 p.m?
  • a)
    8:51 p.m.
  • b)
    8:55 p.m.
  • c)
    8:43 p.m.
  • d)
    8:58 p.m.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The clock at Ravi's house loses 3 minutes daily and his office clock ...
Problem:
The clock at Ravi's house loses 3 minutes daily and his office clock gains 4 minutes daily. They are set right at 3 p.m. What time will the slower clock indicate the next day when the office clock shows 9 p.m?

Solution:
To solve this problem, we need to understand the behavior of both clocks and find the time at which the slower clock catches up with the faster clock.

Understanding the clocks:

- The clock at Ravi's house loses 3 minutes daily. This means that every day, the clock will be 3 minutes behind the correct time. Therefore, after 24 hours, the clock will be 24 * 3 = 72 minutes behind the correct time.

- The office clock gains 4 minutes daily. This means that every day, the clock will be 4 minutes ahead of the correct time. Therefore, after 24 hours, the clock will be 24 * 4 = 96 minutes ahead of the correct time.

Setting the clocks:

- Both clocks are set right at 3 p.m.

- The slower clock loses 72 minutes in a day, so after 24 hours, it will indicate 3 p.m. - 72 minutes = 2:48 p.m.

- The faster clock gains 96 minutes in a day, so after 24 hours, it will indicate 3 p.m. + 96 minutes = 4:36 p.m.

Calculating the catching up time:

- The slower clock is 2 hours and 48 minutes behind the faster clock.

- We need to find the time at which the slower clock catches up with the faster clock.

- The difference between the two clocks is 4:36 p.m. - 2:48 p.m. = 1 hour and 48 minutes.

- Therefore, the slower clock catches up with the faster clock 1 hour and 48 minutes after 2:48 p.m.

Calculating the final time:

- The slower clock catches up with the faster clock 1 hour and 48 minutes after 2:48 p.m.

- Adding 1 hour and 48 minutes to 2:48 p.m., we get 4:36 p.m.

- Therefore, when the office clock shows 9 p.m., the slower clock will indicate 4:36 p.m.

The correct answer is option A) 8:51 p.m.
Free Test
Community Answer
The clock at Ravi's house loses 3 minutes daily and his office clock ...
In 24 hours, the difference is 7 minutes. When the faster clock shows 9 p.m. the next day, it shows 30 hours past 3 p.m.
But actually after 24 hours (1440 minutes), the clock shows 1444 minutes. So, when it shows 30 hours (1800 minutes), the correct time
The slower clock shows 1437 minutes for 1440 minutes past. So, when 1795.0139 minutes are past, it will show
= 29 hours 51.2 minutes, i.e. 8:51 p.m.
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The schematic diagram below shows 12 rectangular houses in a housing complex. Housenumbers are mentioned in the rectangles representing the houses. The houses are located in six columns - Column-A through Column-F, and two rows - Row-1 and Row-2.The houses are divided into two blocks - Block XX and Block YY. The diagram also showstwo roads, one passing in front of the houses in Row-2 and another between the twoblocks.Some of the houses are occupied. The remaining ones are vacant and are the only onesavailable for sale.The road adjacency value of a house is the number of its sides adjacent to a road. Forexample, the road adjacency values of C2, F2, and B1 are 2, 1, and 0, respectively. The neighbour count of a house is the number of sides of that house adjacent to occupiedhouses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.The base price of a vacant house is Rs. 10 lakhs if the house does not have a parkingspace, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house iscalculated as (base pric e) + 5 × (road adjacency value) + 3 × (neighbour count).The following information is also known.1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. The minimumquoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.2. Row-1 has two occupied houses, one in each block.3. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least oneoccupied house.4. There is only one house with parking space in Block YY.Which house in Block YY has parking space?

InstructionsThe schematic diagram below shows 12 rectangular houses in a housing complex. Housenumbers are mentioned in the rectangles representing the houses. The houses are located in six columns - Column-A through Column-F, and two rows - Row-1 and Row-2.The houses are divided into two blocks - Block XX and Block YY. The diagram also showstwo roads, one passing in front of the houses in Row-2 and another between the twoblocks.Some of the houses are occupied. The remaining ones are vacant and are the only onesavailable for sale.The road adjacency value of a house is the number of its sides adjacent to a road. Forexample, the road adjacency values of C2, F2, and B1 are 2, 1, and 0, respectively. The neighbour count of a house is the number of sides of that house adjacent to occupiedhouses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.The base price of a vacant house is Rs. 10 lakhs if the house does not have a parkingspace, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house iscalculated as (base pric e) + 5 × (road adjacency value) + 3 × (neighbour count).The following information is also known. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. The minimumquoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. Row-1 has two occupied houses, one in each block. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least oneoccupied house. There is only one house with parking space in Block YY.Which house in Block YY has parking space?

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The clock at Ravi's house loses 3 minutes daily and his office clock gains 4 minutes daily. They are set right at 3 p.m. What time will the slower clock indicate the next day, when the office clock shows 9 p.m?a)8:51 p.m.b)8:55 p.m.c)8:43 p.m.d)8:58 p.m.Correct answer is option 'A'. Can you explain this answer?
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