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Home Aptitude HCF and LCM Comments

  • Question
  • A drink vendor has 80 liters of Mazza, 144 liters of Pepsi, and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required?


  • Options
  • A. 35
  • B. 36
  • C. 37
  • D. 38

  • Correct Answer
  • 37 

    Explanation

    If we want to pack the drinks in the least number of cans possible, then each can should contain the maximum numbers of liters possible.As each can contains the same number liters of a drink, the number of liters in each can is a comman factor for 80,144 and 368; and it is also the highest such factor, as we need to store the maximum number of liters in each can.

    So, the number of liters in each can  = HCF of 80,144 and 368 = 16 liters.

    Now, number of cans of Maaza = 80/16 = 5

    Number of cans of Pepsi = 144/16 = 9

    Number of cans of Sprite = 368/16 = 23

    Thus, the total number of cans required = 5 + 9 + 23 = 37 


  • Search Results


    • 1. If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to

    • Options
    • A. 55/601
    • B. 601/55
    • C. 11/120
    • D. 120/11
    • Discuss
    • 2. The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ?

    • Options
    • A. 63 and 49
    • B. 64 and 48
    • C. 62 and 46
    • D. 64 and 49
    • Discuss
    • 3. If the HCF of 210 and 55 is expressible in the form of 210 x 5 + 55P, then value of P = ?

    • Options
    • A. -23
    • B. 27
    • C. 16
    • D. -19
    • Discuss
    • 4. 54, 60 LCM is

    • Options
    • A. 600
    • B. 540
    • C. 60
    • D. 54
    • Discuss
    • 5. LCD of 12 and 18

    • Options
    • A. 36
    • B. 42
    • C. 12
    • D. 6
    • Discuss
    • 6. The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is

    • Options
    • A. 12
    • B. 48
    • C. 84
    • D. 108
    • Discuss
    • 7. H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is

    • Options
    • A. 180
    • B. 360
    • C. 540
    • D. 1260
    • Discuss
    • 8. A room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.

    • Options
    • A. 107
    • B. 117
    • C. 127
    • D. 137
    • Discuss
    • 9. H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 2 4 x 3 5 x 5 2 x 7 2 . What is the third number?

    • Options
    • A. 47628
    • B. 49874
    • C. 24157
    • D. 42146
    • Discuss
    • 10. Find the lowest common multiple of 24, 36 and 40.

    • Options
    • A. 120
    • B. 240
    • C. 360
    • D. 480
    • Discuss


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