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Home Aptitude Problems on H.C.F and L.C.M See What Others Are Saying!
  • Question
  • Find the largest number which divides 1305, 4665 and 6905 leaving same remainder in each case. Also, find the common Remainder.


  • Options
  • A. 1210, 158
  • B. 1120, 158
  • C. 1120, 185
  • D. 1210, 185

  • Correct Answer
  • 1120, 185 

    Explanation

    Given that
    x = 1305, y = 4665, z = 6905

    Then ,
    |x - y| = |1305 - 4665| = 3360
    |y - z] = |4665 - 6905| = 2240
    |z - x| =|6905 -1305| = 5600

    ? Required number = HCF of 3360, 2240 and 5600 = 1120

    On dividing 1305 by 1120, remainder is 185.
    On dividing 4665 by 1120, remainder is 185.
    On dividing 6905 by 1120, remainder is 185.
    ? Common remainder = 185


  • More questions

    • 1. 
      In, ?ABC, D and E are the mid-points of AB and AC respectively. Find the ratio of the areas of ?ADE and ?ABC.

    • Options
    • A. 1 2
    • B. 1 4
    • C. 3 4
    • D. 1 8
    • Discuss
    • 2. 
      22020 ÷ 0.011=?

    • Options
    • A. 20020
    • B. 2000000
    • C. 200200
    • D. 200002
    • Discuss
    • 3. 
      How many times are the hands of a clock is at right angle in a day?

    • Options
    • A. 22
    • B. 24
    • C. 44
    • D. 48
    • Discuss
    • 4. The unit digit in the product (784 x 618 x 917 x 463) is:

    • Options
    • A. 2
    • B. 3
    • C. 4
    • D. 5
    • Discuss
    • 5. If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:

    • Options
    • A. Rs. 768
    • B. Rs. 968
    • C. Rs. 1960
    • D. Rs. 2400
    • Discuss
    • 6. 
      ?. 8x 2 + 6x = 5
      ?. 12y 2 ? 22y + 8 = 0

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 7. 
      15, 31, 63, 127, 255, (...)?

    • Options
    • A. 513
    • B. 511
    • C. 517
    • D. 523
    • Discuss
    • 8. 
      Find the probability that a vowel selected at random from the 5 vowels is an 'i'.?

    • Options
    • A. 4/5
    • B. 1/3
    • C. 1/5
    • D. 1/2
    • Discuss
    • 9. 396, 462, 572, 427, 671, 264

    • Options
    • A. 396
    • B. 427
    • C. 671
    • D. 264
    • Discuss
    • 10. 
      If 90% of A = 30% of B and B = C% of A,then the value of C is?

    • Options
    • A. 900
    • B. 800
    • C. 600
    • D. 300
    • Discuss


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