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

### Related Test

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

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

 Divya Sharon 4a 19 3 weeks ago
41

 Sai Behera Aug 28, 2021
D

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-

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