DIRECTIONS for the question:
Solve the following question and mark the best possible option.
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 divide the same number?
  • a)
    80
  • b)
    76
  • c)
    41
  • d)
    53
Correct answer is option 'D'. Can you explain this answer?

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Answers

Nipuns Institute
Jan 19, 2021
►Since Dividend = Divisor � Quotient + Remainder, we have three divisors D1, D2, D3, as 3, 4, 7 and their respective remainders as R1, R2, Ras 2, 1, 4.


►Taking quotient Q= 1, we have D� Q3 + R3 = 7 � 1 + 4 = 11. Now 11 becomes Q2 for D2 and so on.


►Now solving 4 � 11 + 1 = 45, 3 � 45 + 2 = 137.

►Now when 84 divides 137 remainder is 53.

Hence Option D is correct

For Complete syllabus of Quant for CAT click on the link given below:

►Since Dividend = Divisor � Quotient + Remainder, we have three divisors D1,D2,D3,as 3, 4, 7 and their respective remainders as R1,R2, R3as 2, 1, 4.►Taking quotient Q3= 1, we have D3� Q3+ R3 =7 � 1 + 4 = 11. Now 11 becomes Q2for D2and so on.►Now solving 4 � 11 + 1 = 45, 3 � 45 + 2 = 137.►Now when 84 divides 137 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 Dividend = Divisor � Quotient + Remainder, we have three divisors D1,D2,D3,as 3, 4, 7 and their respective remainders as R1,R2, R3as 2, 1, 4.►Taking quotient Q3= 1, we have D3� Q3+ R3 =7 � 1 + 4 = 11. Now 11 becomes Q2for D2and so on.►Now solving 4 � 11 + 1 = 45, 3 � 45 + 2 = 137.►Now when 84 divides 137 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-