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(19 × 109 × 1009 × 10009)/100 If R is the remainder of the given equation, then calculate √(R – 2).
1. 7
2. 8
3. 9
4. 6

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Correct Answer - Option 1 : 7

Formula Used:

Remainder Theorem

Dividend = (Divisor × Quotient) + Remainder           

Calculation:

(19 × 109 × 1009 × 10009)/100

We will calculate the remainder in each term and then multiply the remainders

(19 × 9 × 9 × 9)/100 = (19 × 729)/100

Continue this process until we get a remainder less than 100

⇒ (19 × 29)/100

⇒ 551/100

⇒ 51/100

R = 51

√(R – 2)

⇒ √(51 – 2)

⇒ √49 = 7

Required value is 7.

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