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The next two numbers in the number pattern $1, 4, 9, 16, 25, ...$ from the choices are:

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35, 48

36, 49

37, 50

38, 51

answer is B.

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Detailed Solution

The given number pattern is

1, 4, 9, 16, 25, ...

.
The pattern is written as:

1, 4, 9, 16, 25 … . or 12, 22, 32, 42, 52 …

As there are squares of

1

5

in the number pattern, the next two numbers in the number pattern are

9

which are equal to

36

and

49

.
The next two numbers in the number pattern are 36 and 49.
Hence, option 2) is correct.

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