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What is the value of 10062 −1007 × 1005 + 1008 × 1004 − 1009 × 1003? -

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Question

What is the value of 10062 −1007 × 1005 + 1008 × 1004 − 1009 × 1003? 

Options

  • 6

  • 3

  • 12

  • 24

MCQ

Solution

6

Explanation:

(1006)2 − 1007 × 1005 + 1008 × 1004 − 1009 x 1003

⇒ (1006)2 − (1006 + 1) (1006 − 1) + (1006 + 2) (1006− 2) − (1006 + 3) (1006 − 3)

⇒ (1006)2 − (1006)2 + 1 + (1006)2 − 4 − (1006)2 + 9

= 6

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