Question:
Find the missing number in the following series: \(4,4,6,12,\ ?,\ 90,315\).
Find the missing number in the following series: \(4,4,6,12,\ ?,\ 90,315\).
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In number series, check whether multiplication factors are increasing regularly.
Updated On: May 6, 2026
- \(24\)
- \(26\)
- \(30\)
- \(32\)
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The Correct Option is C
Solution and Explanation
The given series is: \[ 4,\ 4,\ 6,\ 12,\ ?,\ 90,\ 315. \] Observe the multiplication pattern. First: \[ 4\times1=4. \] Next: \[ 4\times1.5=6. \] Next: \[ 6\times2=12. \] The multipliers are increasing by: \[ 0.5. \] So the next multiplier should be: \[ 2.5. \] Therefore: \[ 12\times2.5=30. \] Now check the next terms. After \(30\), multiplier should be: \[ 3. \] \[ 30\times3=90. \] After \(90\), multiplier should be: \[ 3.5. \] \[ 90\times3.5=315. \] The pattern is completely satisfied. Hence, the missing number is: \[ 30. \]
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