Question

Complete the series: \[ 5760, \, 2880, \, 960, \, 240, \, 48, \, ? \]

• A. 8
• B. 17
• C. 12
• D. 16

Hint:

In number series problems: - Check if the pattern is based on multiplication/division, - Observe whether divisors or multipliers are increasing or decreasing systematically.

Answer 1

The Correct Option is C

Step 1: Find the pattern between terms.
Let's look at the ratio between consecutive terms: \[ \frac{2880}{5760} = \frac{1}{2} \] \[ \frac{960}{2880} = \frac{1}{3} \] \[ \frac{240}{960} = \frac{1}{4} \] \[ \frac{48}{240} = \frac{1}{5} \] Clearly, the divisors are increasing by 1 at each step: \(2, 3, 4, 5\).
Step 2: Find the next divisor.
Following the pattern, the next divisor should be \(6\). \[ 48 \div 6 = 8 \] However, none of the options match \(8\) except option (A), which is \(8\).
Thus, the correct answer should be (A) 8.