Observe the following pattern and find the missing number.
$12^{2} = 144$
$102^{2} = 10404$
$1002^{2} = 1004004$
$10000002^{2} = ?$

100400400004

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100000040000004

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100040040004

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100404000004004

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Solution

The correct option is B $100000040000004$
$12^{2} = 144$
$102^{2} = 10404$
$1002^{2} = 1004004$
$10000002^{2} = 100000040000004$
Start with 1 followed as many zeroes as there are between the first and the last 4, followed by four again followed by as many zeroes and end with 4.

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Similar questions

Study the given pattern.

1012 = 10201

1022 = 10404

Following the given pattern, we get 1032 =

3^{2} + 6^{2} + 18^{2} = 19^{2}

3^{2} + 4^{2} + 12^{2}

Question 4
Observe the following pattern and find the missing digits.

$11^{2} = 121 101^{2} = 10201 1001^{2} = 1002001 100001^{2} = 1....2....1 10000002^{2} = 1...........$

Question 5
Observe the following pattern and supply the missing numbers.

$11^{2} = 121 101^{2} = 10201 10101^{2} = 102030201 1010101^{2} = . . . . . . . . . . . . . . . . . . . . . . . . . .^{2} = 10203040504030201$

11^{2} = 121

101^{2} = 10201

10101^{2} = 102030201

1010101^{2} = . . . . . . . . . . . . . . . . . . . . . .

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