Question

Select the missing number from the given responses: 121, 144, 289, 324, 529, 576, ?

• A. 961
• B. 841
• C. 900
• D. 1320

Hint:

Recognizing squares of numbers is essential for quick sequence solving.

Answer 1

The Correct Option is B

Concept: Series of squares: 121 ($11^2$), 144 ($12^2$), 289 ($17^2$), 324 ($18^2$), 529 ($23^2$), 576 ($24^2$).

Step 1: Analyze the sequence of bases.
The bases are 11, 12, 17, 18, 23, 24. - $11 \to 12$ (+1) - $12 \to 17$ (+5) - $17 \to 18$ (+1) - $18 \to 23$ (+5) - $23 \to 24$ (+1)

Step 2: Predict the next base.
The pattern of addition is +1, +5, +1, +5, +1. The next addition should be +5. $24 + 5 = 29$.

Step 3: Calculate the square.
equation 29^2 = 841 equation equation Next number = 31^2 = 841 equation center 841 center