Question

Find the least value of * for which the number 82178342*52 is divisible by 11.

• A. 0
• B. 2
• C. 5
• D. 7

Answer 1

Answer:

D. 7

Solution: Given: Number 82178342*52 is divisible by 11 Concept Used: In this type of question, a number is divisible by 11 when difference of digits at even place and odd places is equal to zero or a multiple of 11 Calculation: Using the above concept, we get ⇒ (8 + 1 + 8 + 4 + * + 2) - (2 + 7 + 3 + 2 + 5) = 0 or multiple of 11 Since the value of * should be minimum the R.H.S will be 11 ⇒ (23 + *) - (19) = 11 ⇒ * = 7 ∴ Required least value of * = 7.