Question

(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

Answer 1

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.