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Home Aptitude Problems on H.C.F and L.C.M See What Others Are Saying!
  • Question
  • Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut?


  • Options
  • A. 27
  • B. 36
  • C. 43
  • D. 480

  • Correct Answer
  • 36 

    Explanation

    Given, length of four metal roads are 78, 104, 117 and 169 cm.
    Now,
    78 = 13 x 2 x 3,
    104 = 13 x 2 x 2 x 2,
    117 = 13 x 3 x 3,
    169 = 13 x 13

    Length of each piece of rod as long as possible, HCF = 13 CM
    ? Number of piece = 6 + 8 + 9 + 13 = 36


  • More questions

    • 1. 
      If U = {a, b, c, d, e, f}, A = {a, b, c}, B = {c, d, e, f}, C = {c, d, e}, find (A ? B) ? (A ? C).

    • Options
    • A. {c}
    • B. {a}
    • C. {b}
    • D. {d}
    • Discuss
    • 2. 
      If a and b are the roots of the equation x 2 - 6x + 6 = 0, find the value of 2(a 2 + b 2).

    • Options
    • A. 40
    • B. 42
    • C. 48
    • D. 46
    • Discuss
    • 3. 
      The simple interest on a certain sum of money for 3 yr at 8 % pa is half the compound interest on ? 8000 for 2 yr at 10 % pa. Find the sum on which simple interest is calculated

    • Options
    • A. ? 3500
    • B. ? 3800
    • C. ? 4000
    • D. ? 3600
    • Discuss
    • 4. 
      The value of k for which the roots ?, ? of the equation : x2 ? 6x + k = 0 satisfy the relation 3? + 2? = 20, is

    • Options
    • A. 8
    • B. - 8
    • C. 16
    • D. - 16
    • Discuss
    • 5. 
      What amount will be received on a sum of ? 1750 in 2 1/ 2 yr, if the interest is compounded at the rate of 8% pa?

    • Options
    • A. ? 2125
    • B. ? 2122.85
    • C. ? 2100
    • D. ? 2200
    • Discuss
    • 6. 
      Find what is that first years in which a sum of money will become more than double in amount if put out at compound interest at the rate of 10% per annum?

    • Options
    • A. 6th years
    • B. 7th years
    • C. 8th years
    • D. Data inadequate
    • Discuss
    • 7. 
      A sum of ? 8448 is to be divided between A and B who are respectively 18 and 19 yr old, in such a way that if their shares be invested at 6.25 % per annum at compound interest, they will receive equal amounts on attaining the age of 21 yr. The present share of A is

    • Options
    • A. ? 4225
    • B. ? 4352
    • C. ? 4096
    • D. ? 4000
    • Discuss
    • 8. 
      What is the difference between the compound interest and simple interest calculated on an amount of ? 16200 at the end of 3 yr at 25% pa? (Rounded off to two digits after decimal)

    • Options
    • A. ? 3213.44
    • B. ? 3302.42
    • C. ? 3495.28
    • D. ? 3290.63
    • Discuss
    • 9. How many times do the hands of a clock coincide in a day?

    • Options
    • A. 20
    • B. 21
    • C. 22
    • D. 24
    • Discuss
    • 10. 
      x = 3a solution of the equation 3x2 + (k ? 1)x + 9 = 0 if k has value

    • Options
    • A. 13
    • B. ?13
    • C. 11
    • D. ?11
    • Discuss


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