Find the next number in the series: 7, 23, 47, 119, 167 ?

Option c: 287. Solution: We are given the series: 7, 23, 47, 119, 167, ... Let's express each term in relation to squares of numbers: - 7 = 32 - 2 - 23 = 52 - 2 - 47 = 72 - 2 - 119 = 112 - 2 - 167 = 132 - 2 We notice that the bases used are the prime numbers: 3, 5, 7, 11, 13 . Following the prime number sequence ( 3, 5, 7, 11, 13, 17, 19, ... ), the next prime number is 17 . Thus, the next term of the series should be the square of the next prime number minus 2 : 172 - 2 = 289 - 2 = 287 Hence, Option C is the correct answer.

Find the next number in the series: $7, 23, 47, 119, 167$?

The correct answer is Option c: 287. We are given the series: $7, 23, 47, 119, 167, \dots$ Let's express each term in relation to squares of numbers: - $7 = 3^2 - 2$ - $23 = 5^2 - 2$ - $47 = 7^2 - 2$ - $119 = 11^2 - 2$ - $167 = 13^2 - 2$ We notice that the bases used are the prime numbers: $3, 5, 7, 11, 13$. Following the prime number sequence ($3, 5, 7, 11, 13, 17, 19, \dots$), the next prime number is $17$. Thus, the next term of the series should be the square of the next prime number minus $2$: $$17^2 - 2 = 289 - 2 = 287$$ Hence, **Option C** is the correct answer.

Number Series, Coding and DecodingMCQPYQ June 19Question 2011 of 217

All Questions

Find the next number in the series: $\displaystyle 7, 23, 47, 119, 167$ ?

Options

A211

B223

C287

D319

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

Correct Answer

✅ Option c — 287

All Options:

A211
B223
C287
D319

Detailed Solution & Explanation

We are given the series:

\displaystyle 7, 23, 47, 119, 167, \dots

Let's express each term in relation to squares of numbers:
-

\displaystyle 7 = 3^2 - 2

\displaystyle 23 = 5^2 - 2

\displaystyle 47 = 7^2 - 2

\displaystyle 119 = 11^2 - 2

\displaystyle 167 = 13^2 - 2

We notice that the bases used are the prime numbers:

\displaystyle 3, 5, 7, 11, 13

.
Following the prime number sequence (

\displaystyle 3, 5, 7, 11, 13, 17, 19, \dots

), the next prime number is

\displaystyle 17

.
Thus, the next term of the series should be the square of the next prime number minus

\displaystyle 2

17^2 - 2 = 289 - 2 = 287

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 next number in the series: 7,23,47,119,167\displaystyle 7, 23, 47, 119, 1677,23,47,119,167?