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Home Aptitude HCF and LCM Comments

  • Question
  • A drink vendor has 368 liters of Maaza, 80 liters of Pepsi and 144 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. 47
  • B. 46
  • C. 37
  • D. 35

  • Correct Answer
  • 37 

    Explanation

    The number of liters in each can = HCF of 80, 144 and 368 = 16 liters.
    Number of cans of Maaza = 368/16 = 23
    Number of cans of Pepsi = 80/16 = 5
    Number of cans of Sprite = 144/16 = 9
    The total number of cans required = 23 + 5 + 9 = 37 cans.


  • Search Results


    • 1. LCM of 80, 85, 90

    • Options
    • A. 11440
    • B. 11998
    • C. 12240
    • D. 12880
    • Discuss
    • 2. A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is ?

    • Options
    • A. 63
    • B. 31
    • C. 16
    • D. 27
    • Discuss
    • 3. If HCF of two numbers is 8,which of the following can never be their LCM?

    • Options
    • A. 32
    • B. 48
    • C. 60
    • D. 152
    • Discuss
    • 4. 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
    • 5. Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500 .The smallest numbers is

    • Options
    • A. 4
    • B. 5
    • C. 6
    • D. 10
    • Discuss
    • 6. The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:

    • Options
    • A. 91
    • B. 910
    • C. 1001
    • D. 1911
    • Discuss
    • 7. 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
    • 8. LCD of 12 and 18

    • Options
    • A. 36
    • B. 42
    • C. 12
    • D. 6
    • Discuss
    • 9. 54, 60 LCM is

    • Options
    • A. 600
    • B. 540
    • C. 60
    • D. 54
    • Discuss
    • 10. 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


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