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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. 
      Shankara buys a watch for Rs. 1,950 in cash and sells it for Rs. 2,200 at a credit of 1 year. If the rate of interest is 10% per annum, he _____ :

    • Options
    • A. gains Rs. 55
    • B. gains Rs. 50
    • C. loses Rs. 30
    • D. gains Rs. 30
    • Discuss
    • 2. 
      ABCD is a rhombus with ? ABC = 56°, then ? ACD is equal to :

    • Options
    • A. 90°
    • B. 60°
    • C. 56°
    • D. 62°
    • Discuss
    • 3. 
      The shaded region represents

    • Options
    • A. y ? x
    • B. y ? ? x
    • C. y ? x
    • D. y ? ? x
    • Discuss
    • 4. 
      45 x? = 25% of 900

    • Options
    • A. 16.20
    • B. 4
    • C. 5
    • D. 500
    • Discuss
    • 5. 
      Rajan sold an articles for ? 6000 at a loss of 25%. Find the cost price.?

    • Options
    • A. ? 7500
    • B. ? 7200
    • C. ? 8000
    • D. ? 8500
    • Discuss
    • 6. 
      In which of the following cases, A = B?

    • Options
    • A. A = {12, 14, 16}, B = {16, 18, 20}
    • B. A = ?, b = {}
    • C. A = {x: x ? W and x < 1}, B = ?
    • D. A = {x: x is a day of the week beginning with S}, B = {Sunday}
    • Discuss
    • 7. 10, 25, 45, 54, 60, 75, 80

    • Options
    • A. 10
    • B. 45
    • C. 54
    • D. 75
    • Discuss
    • 8. 
      If two parallel lines are intersected by a transversal, then the bisectors of the two pairs of interior angles enclose a:

    • Options
    • A. Trapezium
    • B. Rectangle
    • C. Square
    • D. circle
    • Discuss
    • 9. 
      ?. 6x 2 + 77x + 121 = 0
      ?. y 2 + 9y ? 22 = 0

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 10. 
      The length of minute hand of a wall clock is 7 cms. The area swept by minute hand in 30 minutes is?

    • Options
    • A. 147 sq. cm
    • B. 210 sq. cm
    • C. 154 sq. cm
    • D. 77 sq. cm
    • Discuss


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