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In a nuclear power plant a technician is allowed an interval of maximum 100 minutes. A timerwith a bell rings at specific intervals of time such that the minutes when the timer rings are notdivisible by 2, 3, 5 and 7. The last alarm rings with a buzzer to give time for decontamination ofthe technician. How many times will the bell ring within these 100 minutes and what is the valueof the last minute when the bell rings for the last time in a 100 minute shift?
- a)25 times, 89
- b)21 times, 97
- c)22 times, 97
- d)19 times, 97
Correct answer is option 'C'. Can you explain this answer?
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In a nuclear power plant a technician is allowed an interval of maximu...
This question is based on prime numbers:
There are 25 prime numbers between 1-100(minutes)
But here rang bell is not divisible by 2,3,5,7 so we have to subtract 25-4+1(bcz 1 is also not divisible by any above mentioned number)= 21
moreover last time bell will ring is at 97 min.
There are 25 prime numbers between 1-100(minutes)
But here rang bell is not divisible by 2,3,5,7 so we have to subtract 25-4+1(bcz 1 is also not divisible by any above mentioned number)= 21
moreover last time bell will ring is at 97 min.
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In a nuclear power plant a technician is allowed an interval of maximu...
Given:
- The technician is allowed a maximum interval of 100 minutes.
- The timer rings at specific intervals of time.
- The minutes when the timer rings are not divisible by 2, 3, 5, and 7.
- The last alarm rings with a buzzer to give time for decontamination of the technician.
To find:
- The number of times the bell rings within the 100-minute shift.
- The value of the last minute when the bell rings for the last time.
Solution:
To solve this problem, we need to identify the minutes when the timer rings and count the number of times it rings within the 100-minute shift. We also need to determine the value of the last minute when the bell rings.
Step 1: Identify the minutes when the timer rings
To find the minutes when the timer rings, we need to check for numbers that are not divisible by 2, 3, 5, and 7. We can use the concept of the Sieve of Eratosthenes to find these numbers.
Starting from 1, we eliminate all numbers divisible by 2, then all numbers divisible by 3, then all numbers divisible by 5, and finally all numbers divisible by 7. We are left with the prime numbers and their multiples.
The prime numbers less than or equal to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.
Step 2: Count the number of times the bell rings within the 100-minute shift
From the list of prime numbers, we can see that there are 24 primes less than or equal to 100. However, we need to exclude the last alarm that rings with a buzzer for decontamination. So the number of times the bell rings within the 100-minute shift is 24 - 1 = 23 times.
Step 3: Determine the value of the last minute when the bell rings
The last minute when the bell rings will be the largest prime number less than or equal to 100, which is 97.
Final Answer:
The bell rings 23 times within the 100-minute shift, and the value of the last minute when the bell rings is 97. Therefore, the correct answer is option C) 22 times, 97.
- The technician is allowed a maximum interval of 100 minutes.
- The timer rings at specific intervals of time.
- The minutes when the timer rings are not divisible by 2, 3, 5, and 7.
- The last alarm rings with a buzzer to give time for decontamination of the technician.
To find:
- The number of times the bell rings within the 100-minute shift.
- The value of the last minute when the bell rings for the last time.
Solution:
To solve this problem, we need to identify the minutes when the timer rings and count the number of times it rings within the 100-minute shift. We also need to determine the value of the last minute when the bell rings.
Step 1: Identify the minutes when the timer rings
To find the minutes when the timer rings, we need to check for numbers that are not divisible by 2, 3, 5, and 7. We can use the concept of the Sieve of Eratosthenes to find these numbers.
Starting from 1, we eliminate all numbers divisible by 2, then all numbers divisible by 3, then all numbers divisible by 5, and finally all numbers divisible by 7. We are left with the prime numbers and their multiples.
The prime numbers less than or equal to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.
Step 2: Count the number of times the bell rings within the 100-minute shift
From the list of prime numbers, we can see that there are 24 primes less than or equal to 100. However, we need to exclude the last alarm that rings with a buzzer for decontamination. So the number of times the bell rings within the 100-minute shift is 24 - 1 = 23 times.
Step 3: Determine the value of the last minute when the bell rings
The last minute when the bell rings will be the largest prime number less than or equal to 100, which is 97.
Final Answer:
The bell rings 23 times within the 100-minute shift, and the value of the last minute when the bell rings is 97. Therefore, the correct answer is option C) 22 times, 97.
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In a nuclear power plant a technician is allowed an interval of maximum 100 minutes. A timerwith a bell rings at specific intervals of time such that the minutes when the timer rings are notdivisible by 2, 3, 5 and 7. The last alarm rings with a buzzer to give time for decontamination ofthe technician. How many times will the bell ring within these 100 minutes and what is the valueof the last minute when the bell rings for the last time in a 100 minute shift?a)25 times, 89b)21 times, 97c)22 times, 97d)19 times, 97Correct answer is option 'C'. Can you explain this answer?
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In a nuclear power plant a technician is allowed an interval of maximum 100 minutes. A timerwith a bell rings at specific intervals of time such that the minutes when the timer rings are notdivisible by 2, 3, 5 and 7. The last alarm rings with a buzzer to give time for decontamination ofthe technician. How many times will the bell ring within these 100 minutes and what is the valueof the last minute when the bell rings for the last time in a 100 minute shift?a)25 times, 89b)21 times, 97c)22 times, 97d)19 times, 97Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In a nuclear power plant a technician is allowed an interval of maximum 100 minutes. A timerwith a bell rings at specific intervals of time such that the minutes when the timer rings are notdivisible by 2, 3, 5 and 7. The last alarm rings with a buzzer to give time for decontamination ofthe technician. How many times will the bell ring within these 100 minutes and what is the valueof the last minute when the bell rings for the last time in a 100 minute shift?a)25 times, 89b)21 times, 97c)22 times, 97d)19 times, 97Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a nuclear power plant a technician is allowed an interval of maximum 100 minutes. A timerwith a bell rings at specific intervals of time such that the minutes when the timer rings are notdivisible by 2, 3, 5 and 7. The last alarm rings with a buzzer to give time for decontamination ofthe technician. How many times will the bell ring within these 100 minutes and what is the valueof the last minute when the bell rings for the last time in a 100 minute shift?a)25 times, 89b)21 times, 97c)22 times, 97d)19 times, 97Correct answer is option 'C'. Can you explain this answer?.
In a nuclear power plant a technician is allowed an interval of maximum 100 minutes. A timerwith a bell rings at specific intervals of time such that the minutes when the timer rings are notdivisible by 2, 3, 5 and 7. The last alarm rings with a buzzer to give time for decontamination ofthe technician. How many times will the bell ring within these 100 minutes and what is the valueof the last minute when the bell rings for the last time in a 100 minute shift?a)25 times, 89b)21 times, 97c)22 times, 97d)19 times, 97Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In a nuclear power plant a technician is allowed an interval of maximum 100 minutes. A timerwith a bell rings at specific intervals of time such that the minutes when the timer rings are notdivisible by 2, 3, 5 and 7. The last alarm rings with a buzzer to give time for decontamination ofthe technician. How many times will the bell ring within these 100 minutes and what is the valueof the last minute when the bell rings for the last time in a 100 minute shift?a)25 times, 89b)21 times, 97c)22 times, 97d)19 times, 97Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a nuclear power plant a technician is allowed an interval of maximum 100 minutes. A timerwith a bell rings at specific intervals of time such that the minutes when the timer rings are notdivisible by 2, 3, 5 and 7. The last alarm rings with a buzzer to give time for decontamination ofthe technician. How many times will the bell ring within these 100 minutes and what is the valueof the last minute when the bell rings for the last time in a 100 minute shift?a)25 times, 89b)21 times, 97c)22 times, 97d)19 times, 97Correct answer is option 'C'. Can you explain this answer?.
Solutions for In a nuclear power plant a technician is allowed an interval of maximum 100 minutes. A timerwith a bell rings at specific intervals of time such that the minutes when the timer rings are notdivisible by 2, 3, 5 and 7. The last alarm rings with a buzzer to give time for decontamination ofthe technician. How many times will the bell ring within these 100 minutes and what is the valueof the last minute when the bell rings for the last time in a 100 minute shift?a)25 times, 89b)21 times, 97c)22 times, 97d)19 times, 97Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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