What will be the Greatest Number? If

The greatest number by which 2300 and 3500 are divided leaving the remainders of 32 and 56 respectively, is:

  1. 136
  2. 168
  3. 42
  4. 84
Monis Rasool Professor Asked on 28th June 2015 in Maths.
Add Comment
1 Answer(s)

Answer: (4) 84
Explanation:-

Numbers are = 2300   and 3500
Remainders = 32 and 56
New numbers = 2300 – 32 = 2268   and 3500 – 56 = 3444
The HCF of 2268 and 3444
Factors of 2268 = 2 x 2 x 3 x 3 x 3 x 3 x 7
Factors of 3444 = 2 x 2 x 3 x 7 x 41
HCF = 2 x 2 x 3 x 7 = 84

Hence, the answer is (4) 84.

Anurag Mishra Professor Answered on 28th June 2015.
Add Comment

Your Answer

By posting your answer, you agree to the privacy policy and terms of service.