When divided by 30, 36, & 80 gives a remainder 11 in each case is :

A number between 1000 and 2000 which when divided by 30, 36, & 80 gives a remainder 11 in each case is

  1. 1641
  2. 1712
  3. 1523
  4. 1451
Anurag Mishra Professor Asked on 29th December 2015 in Maths.
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1 Answer(s)

Answer is 1451

Explanation:-
The factors of 30 = 2 x 3 x 5
The factors of 36 = 2 x 2 x 3 x 3
The factors of 80 = 2 x 2 x 2 x 2 x 5

Then, the L C M of 30, 36, 80 = 2 x 2 x 2 x 2 x 3 x 3 x 5
 = 720

The second multiple of 720 = 720 x 2 = 1440 which is between 1, 000 and 2, 000.
Gives remainder = 11
 Then, the number = 1440 + 11
= 1451

Then, a number between 1, 000  and 2, 000 which when divided by 30, 36  & 80 gives a remainder 11 in each case is 1451. 

Hence, the correct answer is option (4) 1451. 

Monis Rasool Professor Answered on 29th December 2015.
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