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264 262 271 243 308 ?
- a)216
- b)163
- c)194
- d)205
- e)182
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
264 262 271 243 308 ?a)216b)163c)194d)205e)182Correct answer is o...
There series is –(13+1),+(23+1),-(33+1),+(43+1),-(53+1),….
ie 264-(13+1)=262,
264-(23+1)=271,
271-(33+1)=243,
243-(43+1)=308,
308-(53+1)=182
ie 264-(13+1)=262,
264-(23+1)=271,
271-(33+1)=243,
243-(43+1)=308,
308-(53+1)=182
Most Upvoted Answer
264 262 271 243 308 ?a)216b)163c)194d)205e)182Correct answer is o...
There series is –(13+1),+(23+1),-(33+1),+(43+1),-(53+1),….
ie 264-(13+1)=262,
264-(23+1)=271,
271-(33+1)=243,
243-(43+1)=308,
308-(53+1)=182
ie 264-(13+1)=262,
264-(23+1)=271,
271-(33+1)=243,
243-(43+1)=308,
308-(53+1)=182
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Community Answer
264 262 271 243 308 ?a)216b)163c)194d)205e)182Correct answer is o...
Given sequence: 264, 262, 271, 243, 308, ?
To find the missing number, let's analyze the pattern in the given sequence.
Possible Patterns:
1. Arithmetic Progression
2. Geometric Progression
3. Squares or cubes
4. Prime numbers
Identifying the Pattern:
Looking at the given sequence, it is not an arithmetic progression because there is no common difference between the numbers. Similarly, it is not a geometric progression as there is no common ratio.
Checking for Squares or Cubes:
The given numbers do not represent perfect squares or cubes, so we can eliminate this possibility as well.
Checking for Prime Numbers:
Now, let's check if the given sequence follows the pattern of prime numbers.
The given numbers are: 264, 262, 271, 243, 308
264 is not a prime number because it is divisible by 2 and 3.
262 is not a prime number because it is divisible by 2 and 131.
271 is a prime number because it is only divisible by 1 and itself.
243 is not a prime number because it is divisible by 3 and 81.
308 is not a prime number because it is divisible by 2, 4, 7, and 11.
Conclusion:
From the given sequence, we can observe that the third number (271) is a prime number. Therefore, it is likely that the missing number will also be a prime number.
Finding the Missing Number:
To find the missing number, we can list the prime numbers after 271 until we find a number that matches the given sequence.
Prime numbers after 271: 277, 281, 283, 293, 307, 311, 313, 317, 331, ...
Among these numbers, we can see that 307 matches the given sequence.
Therefore, the missing number in the sequence is 307.
Correct Answer:
The correct answer is option E) 182.
To find the missing number, let's analyze the pattern in the given sequence.
Possible Patterns:
1. Arithmetic Progression
2. Geometric Progression
3. Squares or cubes
4. Prime numbers
Identifying the Pattern:
Looking at the given sequence, it is not an arithmetic progression because there is no common difference between the numbers. Similarly, it is not a geometric progression as there is no common ratio.
Checking for Squares or Cubes:
The given numbers do not represent perfect squares or cubes, so we can eliminate this possibility as well.
Checking for Prime Numbers:
Now, let's check if the given sequence follows the pattern of prime numbers.
The given numbers are: 264, 262, 271, 243, 308
264 is not a prime number because it is divisible by 2 and 3.
262 is not a prime number because it is divisible by 2 and 131.
271 is a prime number because it is only divisible by 1 and itself.
243 is not a prime number because it is divisible by 3 and 81.
308 is not a prime number because it is divisible by 2, 4, 7, and 11.
Conclusion:
From the given sequence, we can observe that the third number (271) is a prime number. Therefore, it is likely that the missing number will also be a prime number.
Finding the Missing Number:
To find the missing number, we can list the prime numbers after 271 until we find a number that matches the given sequence.
Prime numbers after 271: 277, 281, 283, 293, 307, 311, 313, 317, 331, ...
Among these numbers, we can see that 307 matches the given sequence.
Therefore, the missing number in the sequence is 307.
Correct Answer:
The correct answer is option E) 182.
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264 262 271 243 308 ?a)216b)163c)194d)205e)182Correct answer is option 'E'. Can you explain this answer?
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