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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

  • Tags: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

    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. Which of the following has the most number of divisors?

    • Options
    • A. 99
    • B. 101
    • C. 176
    • D. 182
    • Discuss
    • 4. LCD of 12 and 18

    • Options
    • A. 36
    • B. 42
    • C. 12
    • D. 6
    • Discuss
    • 5. Find the Greatest Number that will devide 43, 91 and 183 so as to leave the same remainder in each case

    • Options
    • A. 4
    • B. 7
    • C. 9
    • D. 13
    • Discuss
    • 6. The greatest possible length which can be used to measure exactly the length 7m, 3m 85cm, 12 m 95 cm is

    • Options
    • A. 15 cm
    • B. 25 cm
    • C. 35 cm
    • D. 42 cm
    • Discuss
    • 7. The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

    • Options
    • A. 1677
    • B. 1683
    • C. 2523
    • D. 3363
    • Discuss
    • 8. 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. 13/125
    • B. 14/57
    • C. 11/120
    • D. 16/41
    • Discuss
    • 9. 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
    • 10. 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


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