Find the missing number of the series 48, 24, 96, 48, 192, ... ?

Option c: 96. Solution: We are given the series: 48, 24, 96, 48, 192, ..., ? Let's analyze the operations between consecutive terms: - 48 / 2 = 24 - 24 × 4 = 96 - 96 / 2 = 48 - 48 × 4 = 192 The operations alternate between /2 and × 4 . Following this alternating pattern, the next operation must be /2 : 192 / 2 = 96 Alternatively, let's split the series into two alternating sequences: - Odd terms: 48, 96, 192 (doubling each time). - Even terms: 24, 48, 96 (doubling each time). The missing term is at the 6th position (which is an even position). Thus, its value is 48 × 2 = 96 . Hence, Option C is the correct answer.

Find the missing number of the series $48, 24, 96, 48, 192, \dots ?$

The correct answer is Option c: 96. We are given the series: $48, 24, 96, 48, 192, \dots, ?$ Let's analyze the operations between consecutive terms: - $48 / 2 = 24$ - $24 \times 4 = 96$ - $96 / 2 = 48$ - $48 \times 4 = 192$ The operations alternate between $/2$ and $\times 4$. Following this alternating pattern, the next operation must be $/2$: $$192 / 2 = 96$$ Alternatively, let's split the series into two alternating sequences: - **Odd terms:** $48, 96, 192$ (doubling each time). - **Even terms:** $24, 48, 96$ (doubling each time). The missing term is at the 6th position (which is an even position). Thus, its value is $48 \times 2 = 96$. Hence, **Option C** is the correct answer.

Number Series, Coding and DecodingMCQMTP May 19 Series IIQuestion 2042 of 217

All Questions

Find the missing number of the series $\displaystyle 48, 24, 96, 48, 192, \dots ?$

Options

A76

B90

C96

D120

For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option c — 96

All Options:

A76
B90
C96
D120

Detailed Solution & Explanation

We are given the series:

\displaystyle 48, 24, 96, 48, 192, \dots, ?

Let's analyze the operations between consecutive terms:
-

\displaystyle 48 / 2 = 24

\displaystyle 24 \times 4 = 96

\displaystyle 96 / 2 = 48

\displaystyle 48 \times 4 = 192

The operations alternate between

\displaystyle /2

and

\displaystyle \times 4

. Following this alternating pattern, the next operation must be

\displaystyle /2

192 / 2 = 96

Alternatively, let's split the series into two alternating sequences:
- **Odd terms:**

\displaystyle 48, 96, 192

(doubling each time).
- **Even terms:**

\displaystyle 24, 48, 96

(doubling each time).
The missing term is at the 6th position (which is an even position). Thus, its value is

\displaystyle 48 \times 2 = 96

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

About This Chapter: Number Series, Coding and Decoding

Paper

Paper 3: Quantitative Aptitude

Weightage

5 Marks

Key Topics

Number series, Coding & Decoding, Odd man out

This chapter covers Number series, Coding & Decoding, Odd man out and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.

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Find the missing number of the series 48,24,96,48,192,…?\displaystyle 48, 24, 96, 48, 192, \dots ?48,24,96,48,192,…?