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Home Aptitude HCF and LCM Comments

  • Question
  • The H.C.F and L.C.M of two numbers are 11 and 385 respectively. If one number lies between 75 and 125 , then that number is


  • Options
  • A. 77
  • B. 88
  • C. 99
  • D. 110

  • Correct Answer
  • 77 

    Explanation

    Product of numbers = 11 x 385 = 4235

     

    Let the numbers be 11a and 11b . Then , 11a x 11b = 4235  =>  ab = 35

     

    Now, co-primes with product  35 are (1,35) and (5,7)

     

    So, the numbers are ( 11 x 1, 11 x 35)  and (11 x 5, 11 x 7)

     

    Since one number lies 75 and 125, the suitable pair is  (55,77)

     

    Hence , required number = 77


  • 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. L.C.M of two prime numbers x and y (x>y) is 161. The value of 3y-x is :

    • Options
    • A. -2
    • B. -1
    • C. 1
    • D. 2
    • Discuss
    • 3. The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 100, then their difference is

    • Options
    • A. 10
    • B. 46
    • C. 70
    • D. 90
    • Discuss
    • 4. Product of two co-prime numbers is 117. Their L.C.M should be

    • Options
    • A. 1
    • B. 117
    • C. Equal to their H.C.F
    • D. cannot be calculated
    • Discuss
    • 5. The L.C.M of 22, 54, 108, 135 and 198 is

    • Options
    • A. 330
    • B. 1980
    • C. 5940
    • D. 11880
    • Discuss
    • 6. 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
    • 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. 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
    • 9. 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
    • 10. LCM of 80, 85, 90

    • Options
    • A. 11440
    • B. 11998
    • C. 12240
    • D. 12880
    • Discuss


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