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?

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Answers

URVASHI
Jul 14, 2019
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.
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.