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A timer, having digits from 0 to 9 is replaced with a timer having digits from 0 to 4. Timers are used to count seconds. Hence, after the digit reaches a value of 4 in any position, it gets reset to zero and the digit to the left of this digit increases by 1. For example, at the completion of fourth second after the start, the counter will show 0004; but at the completion of fifth second it will show 0010. What will the counter show at the completion of 8th minute?
  • a)
    0013
  • b)
    0341
  • c)
    0143
  • d)
    1340
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A timer, having digits from 0 to 9 is replaced with a timer having di...
Since only digits 0 to 4 can be used, the problem boils down to conversion of the number 480 from base 10 to base 5. Hence, the answer is 0341.
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Community Answer
A timer, having digits from 0 to 9 is replaced with a timer having di...
Problem Analysis:
- The timer has digits from 0 to 4, and after reaching 4, it resets to 0 and the digit to its left increases by 1.
- The timer counts seconds, so after every 60 seconds, the digit to the left of the seconds place will increase by 1.

Solution:
To find the counter reading at the completion of 8 minutes, we need to determine the values of the digits in the minutes and seconds place.

Minutes:
- Since the timer has digits from 0 to 4, the minutes place can have values from 0 to 4.
- After every 60 seconds, the minutes place will increase by 1.

Seconds:
- The seconds place can have values from 0 to 4.
- After every 4 seconds, the seconds place will reset to 0 and the digit to its left (minutes place) will increase by 1.

Calculating the Minutes:
- Since 8 minutes have passed, the minutes place will be 8.
- The timer can have digits from 0 to 4, so we need to find the remainder when 8 is divided by 5.
- 8 divided by 5 gives a remainder of 3.
- Therefore, the minutes place will be 3.

Calculating the Seconds:
- The seconds place will be the number of seconds that have passed after the completion of 8 minutes.
- 8 minutes is equivalent to 8 * 60 = 480 seconds.
- The timer can have digits from 0 to 4, so we need to find the remainder when 480 is divided by 5.
- 480 divided by 5 gives a remainder of 0.
- Therefore, the seconds place will be 0.

Counter Reading:
The counter will show 0340 at the completion of 8 minutes.
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A timer, having digits from 0 to 9 is replaced with a timer having digits from 0 to 4. Timers are used to count seconds. Hence, after the digit reaches a value of 4 in any position, it gets reset to zero and the digit to the left of this digit increases by 1. For example, at the completion of fourth second after the start, the counter will show 0004; but at the completion of fifth second it will show 0010. What will the counter show at the completion of 8th minute?a)0013b)0341c)0143d)1340Correct answer is option 'B'. Can you explain this answer?
Question Description
A timer, having digits from 0 to 9 is replaced with a timer having digits from 0 to 4. Timers are used to count seconds. Hence, after the digit reaches a value of 4 in any position, it gets reset to zero and the digit to the left of this digit increases by 1. For example, at the completion of fourth second after the start, the counter will show 0004; but at the completion of fifth second it will show 0010. What will the counter show at the completion of 8th minute?a)0013b)0341c)0143d)1340Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A timer, having digits from 0 to 9 is replaced with a timer having digits from 0 to 4. Timers are used to count seconds. Hence, after the digit reaches a value of 4 in any position, it gets reset to zero and the digit to the left of this digit increases by 1. For example, at the completion of fourth second after the start, the counter will show 0004; but at the completion of fifth second it will show 0010. What will the counter show at the completion of 8th minute?a)0013b)0341c)0143d)1340Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A timer, having digits from 0 to 9 is replaced with a timer having digits from 0 to 4. Timers are used to count seconds. Hence, after the digit reaches a value of 4 in any position, it gets reset to zero and the digit to the left of this digit increases by 1. For example, at the completion of fourth second after the start, the counter will show 0004; but at the completion of fifth second it will show 0010. What will the counter show at the completion of 8th minute?a)0013b)0341c)0143d)1340Correct answer is option 'B'. Can you explain this answer?.
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