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Question

Choose the most appropriate option to replace (?).
121, 144, 289, 324, 529, 576, ?

A
961
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B
841
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C
900
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D
729
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E
None of the above
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Solution

The correct option is D 729
11 × 11 = 121
12 × 12 = 144
Difference = 17 - 12 = 5
17 × 17 = 289
18 × 18 = 324
Difference = 23 - 18 = 5
23 × 23 = 529
24 × 24 = 576
Likewise,
? - 24 = 5
? = 29
Hence, 29 × 29 = 729

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