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Home Aptitude HCF and LCM Comments

  • Question
  • A room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.


  • Options
  • A. 107
  • B. 117
  • C. 127
  • D. 137

  • Correct Answer
  • 117 

    Explanation

    Let us calculate both the length and width of the room in centimeters.

    Length = 6 meters and 24 centimeters = 624 cm

    width = 4 meters and 32 centimeters = 432 cm

    As we want the least number of square tiles required, it means the length of each square tile should be as large as possible.Further,the length of each square tile should be a factor of both the length and width of the room.

    Hence, the length of each square tile will be equal to the HCF of the length and width of the room = HCF of 624 and 432 = 48

    Thus, the number of square tiles required = (624 x 432 ) / (48 x 48) = 13 x 9 = 117


  • Search Results


    • 1. 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
    • 2. 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
    • 3. 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
    • 4. 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
    • 5. 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
    • Discuss
    • 6. H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 2 4 x 3 5 x 5 2 x 7 2 . What is the third number?

    • Options
    • A. 47628
    • B. 49874
    • C. 24157
    • D. 42146
    • Discuss
    • 7. Find the lowest common multiple of 24, 36 and 40.

    • Options
    • A. 120
    • B. 240
    • C. 360
    • D. 480
    • Discuss
    • 8. The largest measuring cylinder that can accurately fill 3 tanks of capacity 98, 182 and 266 litres each, is of capacity ?

    • Options
    • A. 7 lts
    • B. 14 lts
    • C. 98 lts
    • D. 42 lts
    • Discuss
    • 9. If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ?

    • Options
    • A. 6
    • B. 8
    • C. 4
    • D. 9
    • Discuss
    • 10. The G.C.D of 1.08, 0.36 and 0.9 is

    • Options
    • A. 0.03
    • B. 0.9
    • C. 0.18
    • D. 0.108
    • Discuss


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