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Home Aptitude HCF and LCM Comments

  • Question
  • 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

  • Correct Answer
  • 63 and 49 

    Explanation

    Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y

    Difference = 14
    => 7x - 7y = 14
    => x - y = 2

    product of numbers = product of their hcf and lcm
    => 7x * 7y = 441 * 7
    => x * y = 63

    Now, we have
    x * y = 63 , x - y = 2
    => x = 9 , y = 7

    The numbers are 7x and 7y
    => 63 and 49


  • Search Results


    • 1. 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
    • 2. 54, 60 LCM is

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

    • Options
    • A. 36
    • B. 42
    • C. 12
    • D. 6
    • Discuss
    • 4. 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
    • 5. 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
    • 6. 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
    • 7. 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
    • Discuss
    • 8. 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
    • 9. 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
    • 10. 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


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