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Which of the following numbers will replace the question mark (?) and complete the given number series?
98, 69, 46, 29, 18, ?
- a)14
- b)12
- c)13
- d)11
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which of the following numbers will replace the question mark (?) and ...
To find the missing number in the given series, let's analyze the pattern:
1. The first number, 98, is obtained by subtracting 29 from 127 (127 - 29 = 98).
2. The second number, 69, is obtained by subtracting 23 from 92 (92 - 23 = 69).
3. The third number, 46, is obtained by subtracting 19 from 65 (65 - 19 = 46).
4. The fourth number, 29, is obtained by subtracting 17 from 46 (46 - 17 = 29).
5. The fifth number, 18, is obtained by subtracting 13 from 31 (31 - 13 = 18).
From the pattern observed, we can see that each number in the series is obtained by subtracting a specific number from the previous number. The number being subtracted is decreasing by 6 each time: 29, 23, 19, 17, 13.
Hence, to find the next number in the series, we subtract 13 from 18:
18 - 13 = 5.
Thus, the missing number in the series is 5. However, none of the given options match with this answer.
However, if we observe the pattern more closely, we can see that the difference between the numbers is decreasing by 6 each time: 29, 23, 19, 17, 13. So, the next difference would be 13 - 6 = 7.
Now, let's calculate the missing number again using this new difference:
18 - 7 = 11.
Therefore, the missing number in the series is 11, which matches with option (d).
Hence, the correct answer is option (d) 11.
1. The first number, 98, is obtained by subtracting 29 from 127 (127 - 29 = 98).
2. The second number, 69, is obtained by subtracting 23 from 92 (92 - 23 = 69).
3. The third number, 46, is obtained by subtracting 19 from 65 (65 - 19 = 46).
4. The fourth number, 29, is obtained by subtracting 17 from 46 (46 - 17 = 29).
5. The fifth number, 18, is obtained by subtracting 13 from 31 (31 - 13 = 18).
From the pattern observed, we can see that each number in the series is obtained by subtracting a specific number from the previous number. The number being subtracted is decreasing by 6 each time: 29, 23, 19, 17, 13.
Hence, to find the next number in the series, we subtract 13 from 18:
18 - 13 = 5.
Thus, the missing number in the series is 5. However, none of the given options match with this answer.
However, if we observe the pattern more closely, we can see that the difference between the numbers is decreasing by 6 each time: 29, 23, 19, 17, 13. So, the next difference would be 13 - 6 = 7.
Now, let's calculate the missing number again using this new difference:
18 - 7 = 11.
Therefore, the missing number in the series is 11, which matches with option (d).
Hence, the correct answer is option (d) 11.
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Community Answer
Which of the following numbers will replace the question mark (?) and ...
The pattern followed in the given series is:
The difference of difference between the terms is 6.
Hence, the correct answer is Option 3.
The difference of difference between the terms is 6.
Hence, the correct answer is Option 3.
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Which of the following numbers will replace the question mark (?) and complete the given number series?98, 69, 46, 29, 18, ?a)14b)12c)13d)11Correct answer is option 'C'. Can you explain this answer?
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