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Home Aptitude Problems on H.C.F and L.C.M See What Others Are Saying!
  • Question
  • There are five hobby clubs in a college viz. photography, yachting, chess, electronics and gardening. The gardening group meets every second day, the electronics group meets every third day, the chess group meets every fourth day, the yachting group meets every fifth day and the photography group meets every sixth day. How many times do all the five groups meets on the same day within 180 days?


  • Options
  • A. 3
  • B. 5
  • C. 10
  • D. 18

  • Correct Answer


  • Explanation

    Gardening group meets once in 2 days, electronics group meets once in 3 days, chess group meets once in 4 days, yachting group meets once in 5 days and the photography group meets once in 6 days.

    If they meet on the same day at one time, then the next time they will meet on same day again will be the LCM of 2, 3, 4, 5 and 6 which is equal to 60.

    Hence, within 180 days all the five groups will meet on the same day = 180/60 = 3 times.


  • More questions

    • 1. 
      In a 200 m race, A can beat B by 50 m and B can beat C by 8 m. In the same race , A can beat C by what distance?

    • Options
    • A. 60 m
    • B. 72 m
    • C. 56 m
    • D. 66 m
    • Discuss
    • 2. 
      26.823 x 27.923 x 4.5001 =?

    • Options
    • A. 3500
    • B. 3450
    • C. 3100
    • D. 3400
    • Discuss
    • 3. 
      There are two inlets A and B connected to a tank. A and B can fill the tank in 16 h and 10 h, respectively. If both the pipes are opened alternately for 1 h, starting from A, then how much time will the tank take to filled?

    • Options
    • A. 131/4 h
    • B. 116/8 h
    • C. 122/5 h
    • D. 121/4 h
    • Discuss
    • 4. 
      If a + b + 1 = 0, then the value of (a 3 + b 3 + 1 ? 3ab) is

    • Options
    • A. 3
    • B. 0
    • C. ?1
    • D. 1
    • Discuss
    • 5. 
      (2.247)3 + (1.730)3 + (1.023)3 - 3 x 2.247 x 1.730 x 1.023 / ( (2.247)2 + (1.730)2 + (1.023)2 - (2.247 x 1.730) - (1.730 x 1.023) - (2.247 x 1.023) )

    • Options
    • A. 1.730
    • B. 4
    • C. 5
    • D. 5.247
    • Discuss
    • 6. 
      A cistern can be filled by two pipes in 30 and 40 minutes respectively. Both the pipes were opened at once, but after some time the first was shut up and the cistern was filled in 10 minutes more. How long after the pipes had opened was the first pipe shut up?

    • Options
    • A. 90/ 11 minutes
    • B. 90/7 minutes
    • C. 90/13 minutes
    • D. 45/2 minute
    • Discuss
    • 7. 
      In a camp, food was sufficient for 2000 people for 54 days. After 15 days, more people came and the food last only for 20 more days. How many people came?

    • Options
    • A. 1900
    • B. 2400
    • C. 1940
    • D. 2220
    • Discuss
    • 8. 
      The area of the triangle formed by the lines 5x + 7y = 35, 4x + 3y = 12 and x-axis is

    • Options
    • A. 160 sq.unit 13
    • B. 150 sq.unit 13
    • C. 140 sq.unit 13
    • D. 10 sq.unit
    • Discuss
    • 9. 
      In a 20 m race, A runs at a speed of 2 m/s. If A gives B a start of 10 m and still beats him by 5 s, what will be the speed of B?

    • Options
    • A. 117/21 m/s
    • B. 317/21 m/s
    • C. 21 m/s
    • D. 2 m/s
    • Discuss
    • 10. 
      The length of a rectangular field is 100 m and its breadth is 40 m. What will be the area of the field?

    • Options
    • A. (4 x 102) sq m
    • B. (4 x 10) sq m
    • C. (4 x 104) sq m
    • D. (4 x 103) sq m
    • Discuss


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