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In this questions, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the black spaces.
Q. 3, 6, 5, 20, 7, 34, 9, (____)
- a)48
- b)66
- c)60
- d)54
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In this questions, a number series is given with one term missing. Cho...
The sequence is a combination of two series:
I. 3, 5, 7, 9
II. 6, 20, 42, (____)
I. 3, 5, 7, 9
II. 6, 20, 42, (____)
Consider II sequence
1st term = 6
2nd term = 6 + 14 = 20
3rd term = 20 + 14 = 34
1st term = 6
2nd term = 6 + 14 = 20
3rd term = 20 + 14 = 34
Thus, the missing term is 4th term = 34 + 14 = 48
Most Upvoted Answer
In this questions, a number series is given with one term missing. Cho...
Pattern Analysis:
The given number series seems to be a mix of two different patterns:
- Pattern 1: Alternate terms are increasing by a factor of 3 (3, 5, 7, 9, ...)
- Pattern 2: Other terms are obtained by multiplying the previous term with 2 (6=3x2, 20=5x4, 42=20x2, ...)
Using these patterns, we can fill in the missing term as follows:
- The 8th term should be larger than 42 (last term obtained by Pattern 2)
- The 8th term should be divisible by 3 (to follow Pattern 1)
- The 7th term is 9, which is obtained by multiplying the previous term (42) with 2
Based on these observations, we can try different options and see which one satisfies all the conditions:
a) 72 = 42x2x2/3, satisfies all conditions
b) 66 = 42x2 - 3, does not satisfy condition 1
c) 60 = 42x2/3, satisfies condition 2 but not 1
d) 54 = 42x2/3 - 3, does not satisfy condition 1
Therefore, the correct answer is option A (72).
The given number series seems to be a mix of two different patterns:
- Pattern 1: Alternate terms are increasing by a factor of 3 (3, 5, 7, 9, ...)
- Pattern 2: Other terms are obtained by multiplying the previous term with 2 (6=3x2, 20=5x4, 42=20x2, ...)
Using these patterns, we can fill in the missing term as follows:
- The 8th term should be larger than 42 (last term obtained by Pattern 2)
- The 8th term should be divisible by 3 (to follow Pattern 1)
- The 7th term is 9, which is obtained by multiplying the previous term (42) with 2
Based on these observations, we can try different options and see which one satisfies all the conditions:
a) 72 = 42x2x2/3, satisfies all conditions
b) 66 = 42x2 - 3, does not satisfy condition 1
c) 60 = 42x2/3, satisfies condition 2 but not 1
d) 54 = 42x2/3 - 3, does not satisfy condition 1
Therefore, the correct answer is option A (72).
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Community Answer
In this questions, a number series is given with one term missing. Cho...
Bcoz there is a table of 2
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In this questions, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the black spaces.Q. 3, 6, 5, 20, 7, 34, 9, (____)a)48b) 66 c)60 d)54Correct answer is option 'A'. Can you explain this answer?
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