A number when successively divided by 5 and 6 gives remainders 3 and 2 respectively. What will be the remainders if the number is successively divided by 3 and 4 ?
a)
2, 3
b)
2,1
c)
1,2
d)
3,4
Correct answer is option 'C'. Can you explain this answer?
Let the quotient of last division is 1. So the number is 5 × (6 × 1 + 2) + 3 = 5 × 8 + 3 = 43 Now when 43 is divided successively by 3 and 4 the remainders are 1 and 2 respectively.
Let the quotient of last division is 1.So the number is 5 × (6 × 1 + 2) + 3 = 5 × 8 + 3 = 43Now when 43 is divided successively by 3 and 4 the remainders are 1 and 2 respectively.
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Let the quotient of last division is 1.So the number is 5 × (6 × 1 + 2) + 3 = 5 × 8 + 3 = 43Now when 43 is divided successively by 3 and 4 the remainders are 1 and 2 respectively.