Question

Find the missing number in the series.
96, 60, 35, 19, 10, ___

• A. 4
• B. 3
• C. 6
• D. 2

Hint:

When differences are 36, 25, 16, 9... always look for square patterns.

Answer 1

The Correct Option is C

Step 1: Concept
Analyzing the differences between consecutive terms in a decreasing series.

Step 2: Analysis
Differences between terms: $96 - 60 = 36$ ($6^2$) $60 - 35 = 25$ ($5^2$) $35 - 19 = 16$ ($4^2$) $19 - 10 = 9$ ($3^2$)

Step 3: Calculation
The differences are perfect squares of decreasing integers ($6^2, 5^2, 4^2, 3^2$). The next difference should be $2^2 = 4$. $10 - 4 = 6$.

Step 4: Conclusion
The next number in the series is 6. Final Answer: (3)