Number Series, Coding, Odd Man OutMTP Dec 2023 Series IIQuestion 2143 of 217
All Questions

Find the missing term 5760, 960, ?, 48, 16, 8

Options

A120
B160
C192
D240
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Correct Answer

✅ Option c — 192

All Options:

  • A120
  • B160
  • C192
  • D240

Detailed Solution & Explanation

Let's identify the relationship between consecutive terms in the series by working from left to right:
- First term to second term: 5760÷6=960\displaystyle 5760 \div 6 = 960
- Second term to third term: 960÷5=192\displaystyle 960 \div 5 = 192
- Third term to fourth term: 192÷4=48\displaystyle 192 \div 4 = 48
- Fourth term to fifth term: 48÷3=16\displaystyle 48 \div 3 = 16
- Fifth term to sixth term: 16÷2=8\displaystyle 16 \div 2 = 8

We can see a clear pattern of dividing each term by a decreasing integer sequence (6,5,4,3,2\displaystyle 6, 5, 4, 3, 2) to obtain the next term.

Thus, the missing term is:
960÷5=192960 \div 5 = 192

Hence, **Option C** is the correct answer.

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