logo

CuriousTab

CuriousTab

Discussion


Home Aptitude Problems on H.C.F and L.C.M See What Others Are Saying!
  • Question
  • The sum of HCF and LCM of two numbers is 403 and their LCM is 12 times their HCF. If one number is 93, then find the another number.


  • Options
  • A. 115
  • B. 122
  • C. 124
  • D. 138

  • Correct Answer
  • 124 

    Explanation

    Let LCM = m, HCF = n,

    According to the question,
    m = 12n, .......(i)
    and m + n = 403.......(ii)
    ? 12n + n = 403 [from Eq.(i)]
    ? 13n = 403
    ? n = 403/13 = 31
    ? m = 12 x 31 = 372

    Let the another number = k
    ? 93 x k = 372 x 31
    [as product of two numbers HCF x LCM]
    ? k = (372 x 31)/93 = 124


  • More questions

    • 1. Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?

    • Options
    • A. Rs. 9,423
    • B. Rs. 10,250
    • C. Rs. 12,500
    • D. Rs. 10,500
    • Discuss
    • 2. 
      (100)0 is equivalent to :

    • Options
    • A. 0
    • B. 10
    • C. 1
    • D. 100
    • Discuss
    • 3. 
      Find the triplicate ratio of 7 : 5?

    • Options
    • A. 125 : 343
    • B. 343 : 125
    • C. 344 : 125
    • D. 343 : 126
    • Discuss
    • 4. 
      The sum to 12 terms of an AP is equal to the sum to 18 terms. What will be the sum to 30 terms for this series?

    • Options
    • A. 3
    • B. 2
    • C. 1
    • D. 0
    • Discuss
    • 5. 
      In what proportion must wheat at Rs. 1·60 per kg be mixed with wheat at Rs. 1·45 per kg. So that the mixture be worth Rs. 1·54 per kg?

    • Options
    • A. 2 : 3
    • B. 3 : 2
    • C. 3 : 4
    • D. 4 : 3
    • Discuss
    • 6. 
      A merchant has 50 kg. of sugar part of which he sells at 8 % profit and the rest at 18 % profit. He gains 14 % on the whole. The quantity sold at 18 % profit is ?

    • Options
    • A. 20 kg
    • B. 30 kg
    • C. 15 kg
    • D. 35 kg
    • Discuss
    • 7. 
      4 vessels of equal sizes contains mixture of spirit and water. The concentration of spirit in 4 vessels are 60 %, 70 %, 75 % and 80 % respectively. If all the 4 mixtures are mixed, find in the resultant mixture the ratio of spirit to water ?

    • Options
    • A. 57 : 13
    • B. 23 : 57
    • C. 57 : 23
    • D. None of these
    • Discuss
    • 8. 
      Rs. 675 was divided among 75 boys and girls. Each boy gets Rs. 20 whereas a girl gets Rs. 5. Find the number of boys and girls.

    • Options
    • A. 20 , 55
    • B. 15 , 60
    • C. 25 , 50
    • D. 30 , 45
    • Discuss
    • 9. 
      In a mixture of 60 liters, the ratio of milk and water is 2 : 1. If the ratio of the milk and water is to be 1 : 2, then the amount of water to be further added is ?

    • Options
    • A. 20 litres
    • B. 30 litres
    • C. 40 litres
    • D. 60 litres
    • Discuss
    • 10. 
      In a mixture of 60 liters, the ratio of milk and water is 2 : 1. If the ratio of the milk and water is to be 1 : 2, then the amount of water to be further added is ?

    • Options
    • A. 20 litres
    • B. 30 litres
    • C. 40 litres
    • D. 60 litres
    • Discuss


    Comments

    There are no comments.

Enter a new Comment