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Directions: Answer the questions based on the information given below.
Series X : 66, 148, 270, 440, 666, 956
Series Y : 138, 148, 174, 224, 346, 516
Series Z : 316, 541, 830, 1191, 1632, 2161
Subsequent terms in all the given series should follow the given pattern: 1 more than the square of a consecutive odd number.
Which of the following series does not follow this pattern?
Only X
Only Y
Only Z
Both X and Y
Both Y and Z
- Series X: Terms are 1 more than the squares of consecutive odd numbers starting with 8. Calculations: 8^2+1, 10^2+1, 12^2+1, etc.
- Series Y: Terms do not follow the pattern as the second number, 148, does not fit. Calculations: 12^2+1 equals 145, not 148.
- Series Z: Terms are 1 more than the squares of consecutive odd numbers starting with 17. Calculations: 17^2+1, 19^2+1, 21^2+1, etc.
- Conclusion: Series Y does not follow the given pattern. Series Z follows the pattern.
- Correct Answer: Option 2, Only Y
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