Find the missing value in the series : 51, 52, 60, 87, 151, , 492

Option b: 276. Solution: We are given the series: 51, 52, 60, 87, 151, ..., 492 Let's compute the differences between consecutive terms: - 52 - 51 = 1 = 13 - 60 - 52 = 8 = 23 - 87 - 60 = 27 = 33 - 151 - 87 = 64 = 43 We observe that the differences are the cubes of consecutive natural numbers ( 13, 23, 33, 43 ). Following this pattern, the next difference must be 53 = 125 . Therefore, the missing term is: 151 + 125 = 276 Let's verify the next term in the series using the next cube difference ( 63 = 216 ): 276 + 216 = 492 This matches the final term perfectly. Hence, Option B is the correct answer.

Find the missing value in the series : $51, 52, 60, 87, 151, \_\_\_\_\_\_, 492$

The correct answer is Option b: 276. We are given the series: $51, 52, 60, 87, 151, \dots, 492$ Let's compute the differences between consecutive terms: - $52 - 51 = 1 = 1^3$ - $60 - 52 = 8 = 2^3$ - $87 - 60 = 27 = 3^3$ - $151 - 87 = 64 = 4^3$ We observe that the differences are the cubes of consecutive natural numbers ($1^3, 2^3, 3^3, 4^3$). Following this pattern, the next difference must be $5^3 = 125$. Therefore, the missing term is: $$151 + 125 = 276$$ Let's verify the next term in the series using the next cube difference ($6^3 = 216$): $$276 + 216 = 492$$ This matches the final term perfectly. Hence, **Option B** is the correct answer.

Number Series, Coding and DecodingMCQPYQ June 24Question 2036 of 217

All Questions

Find the missing value in the series : $\displaystyle 51, 52, 60, 87, 151, \_\_\_\_\_\_, 492$

Options

A37

B276

C317

D420

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

Correct Answer

✅ Option b — 276

All Options:

A37
B276
C317
D420

Detailed Solution & Explanation

We are given the series:

\displaystyle 51, 52, 60, 87, 151, \dots, 492

Let's compute the differences between consecutive terms:
-

\displaystyle 52 - 51 = 1 = 1^3

\displaystyle 60 - 52 = 8 = 2^3

\displaystyle 87 - 60 = 27 = 3^3

\displaystyle 151 - 87 = 64 = 4^3

We observe that the differences are the cubes of consecutive natural numbers (

\displaystyle 1^3, 2^3, 3^3, 4^3

).
Following this pattern, the next difference must be

\displaystyle 5^3 = 125

.
Therefore, the missing term is:

151 + 125 = 276

Let's verify the next term in the series using the next cube difference (

\displaystyle 6^3 = 216

276 + 216 = 492

This matches the final term perfectly.
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 the missing value in the series : 51,52,60,87,151,______,492\displaystyle 51, 52, 60, 87, 151, \_\_\_\_\_\_, 49251,52,60,87,151,______,492