Find out the wrong number 2, 10, 18, 54, 162, 486, 1458

Option b: 10. Solution: Let's analyze the series of numbers: 2, 10, 18, 54, 162, 486, 1458 . Let's check the ratio between consecutive numbers starting from the first term 2 : - 2 × 3 = 6 (the series lists 10 , which is incorrect) - 6 × 3 = 18 - 18 × 3 = 54 - 54 × 3 = 162 - 162 × 3 = 486 - 486 × 3 = 1458 The correct series forms a geometric progression with a starting term of 2 and a common ratio of 3 : 2, 6, 18, 54, 162, 486, 1458 . The term 10 violates this pattern and is the wrong term. Hence, Option B is the correct answer.

Find out the wrong number $2, 10, 18, 54, 162, 486, 1458$

The correct answer is Option b: $10$. Let's analyze the series of numbers: $2, 10, 18, 54, 162, 486, 1458$. Let's check the ratio between consecutive numbers starting from the first term $2$: - $2 \times 3 = 6$ (the series lists $10$, which is incorrect) - $6 \times 3 = 18$ - $18 \times 3 = 54$ - $54 \times 3 = 162$ - $162 \times 3 = 486$ - $486 \times 3 = 1458$ The correct series forms a geometric progression with a starting term of $2$ and a common ratio of $3$: $2, 6, 18, 54, 162, 486, 1458$. The term $10$ violates this pattern and is the wrong term. Hence, **Option B** is the correct answer.

Number Series, Coding and DecodingMCQMTP Nov. 21Question 2188 of 217

All Questions

Find out the wrong number $\displaystyle 2, 10, 18, 54, 162, 486, 1458$

Options

\displaystyle 18

\displaystyle 10

\displaystyle 54

\displaystyle 162

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Correct Answer

✅ Option b — $\displaystyle 10$

All Options:

A $\displaystyle 18$
B $\displaystyle 10$
C $\displaystyle 54$
D $\displaystyle 162$

Detailed Solution & Explanation

Let's analyze the series of numbers:

\displaystyle 2, 10, 18, 54, 162, 486, 1458

.
Let's check the ratio between consecutive numbers starting from the first term

\displaystyle 2

:
-

\displaystyle 2 \times 3 = 6

(the series lists

\displaystyle 10

, which is incorrect)
-

\displaystyle 6 \times 3 = 18

\displaystyle 18 \times 3 = 54

\displaystyle 54 \times 3 = 162

\displaystyle 162 \times 3 = 486

\displaystyle 486 \times 3 = 1458

The correct series forms a geometric progression with a starting term of

\displaystyle 2

and a common ratio of

\displaystyle 3

\displaystyle 2, 6, 18, 54, 162, 486, 1458

. The term

\displaystyle 10

violates this pattern and is the wrong term.

Hence, **Option B** 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 out the wrong number 2,10,18,54,162,486,1458\displaystyle 2, 10, 18, 54, 162, 486, 14582,10,18,54,162,486,1458