After the division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4 respectively. What will be the remainder if 84 divides the same number?
  • a)
    80
  • b)
    75
  • c)
    41
  • d)
    53
Correct answer is option 'D'. Can you explain this answer?

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Answers

Aadhar Academy
Aug 04, 2021
Since after division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4 respectively, the number is of form ((((4*4)+1)*3)+2)k = 53K.


Let k = 1; the number becomes 53


If it is divided by 84, the remainder is 53.



Hence Option D is correct

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Since after division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4respectively, the number is of form ((((4*4)+1)*3)+2)k = 53K.Let k = 1; the number becomes 53If it is divided by 84, the remainder is 53.Hence Option D is correctFor Complete syllabus ofQuant for CATclick on the link given below:Quantitative Aptitude (Quant)https://edurev.in/courses/3074_quantitative-aptitude--maths--prep-tests--videos-
Since after division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4respectively, the number is of form ((((4*4)+1)*3)+2)k = 53K.Let k = 1; the number becomes 53If it is divided by 84, the remainder is 53.Hence Option D is correctFor Complete syllabus ofQuant for CATclick on the link given below:Quantitative Aptitude (Quant)https://edurev.in/courses/3074_quantitative-aptitude--maths--prep-tests--videos-