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  • Question
  • 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


  • Options
  • A. 1, 2
  • B. 2, 3
  • C. 3, 2
  • D. 4, 1

  • Correct Answer
  • 2, 3 

    Explanation
     4 | x            y = (5 x 1 + 4) = 9
     --------
     5 | y -1         x = (4 x y + 1) = (4 x 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.
    

  • More questions

    • 1. 
      198.995 x 12.005 + 16.25 x 6.95 =?

    • Options
    • A. 2580
    • B. 2550
    • C. 2400
    • D. 2500
    • Discuss
    • 2. 
      The face value of 8 in the numeral 458926 is?

    • Options
    • A. 8000
    • B. 8
    • C. 1000
    • D. 458000
    • Discuss
    • 3. 
      6, 9, 15, 21, 24, 28, 30?

    • Options
    • A. 25
    • B. 21
    • C. 24
    • D. 30
    • Discuss
    • 4. 
      6674 x 625 =?

    • Options
    • A. 4170160
    • B. 4072360
    • C. 4171050
    • D. 4171250
    • Discuss
    • 5. 
      If ax + by = 6, bx ? ay = 2 and x 2 + y 2 = 4, then the value of ( a 2 + b 2) would be :

    • Options
    • A. 10
    • B. 2
    • C. 4
    • D. 5
    • Discuss
    • 6. 
      What if the probability of getting a king or a queen in a single drawn from a pack of 52 cards?

    • Options
    • A. 1/26
    • B. 1/13
    • C. 2/13
    • D. None of these
    • Discuss
    • 7. 
      Find the 4th proportional to 4 , 16 and 7 ,

    • Options
    • A. 28
    • B. 29
    • C. 22
    • D. 25
    • Discuss
    • 8. 
      Raj sold an item for ? 6384 and incurred a loss of 30%. At what price should he have sold the item to have gained a profit of 30%

    • Options
    • A. ? 14656
    • B. ? 11856
    • C. ? 13544
    • D. cannot be determind
    • Discuss
    • 9. 
      (2/3) x (6/8) x (2/3) x (3/4) =?

    • Options
    • A. 0.25
    • B. 0.5
    • C. 1.45
    • D. 11.8
    • Discuss
    • 10. 
      The HCF and LCM of two natural numbers are 12 and 72, respectively. What is the difference between the two numbers, if one of the number is 24?

    • Options
    • A. 12
    • B. 18
    • C. 21
    • D. 24
    • Discuss


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