A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be
A. 1, 2
B. 2, 3
C. 3, 2
D. 4, 1
E. None of these
Answer: Option B
Solution(By Examveda Team)
4 | x y = (5 × 1 + 4) = 9------------
5 | y - 1 x = (4 × y + 1) = (4 × 9 + 1) = 37
------------
| 1 - 4
Now, 37 when divided successively by 5 and 4, we get
5 | 37
-------------
4 | 7 - 2
-------------
| 1 - 3
Respective remainders are 2 and 3
Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
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