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Home Aptitude Odd Man Out and Series See What Others Are Saying!
  • Question
  • Divided 124 into four parts which are in AP such that the product of the first and fourth part is 128 less than the products of the seconds and third part?


  • Options
  • A. 17, 25, 37, 45
  • B. 19, 27, 35, 43
  • C. 21, 29, 33, 41
  • D. 15, 23, 39, 47

  • Correct Answer
  • 19, 27, 35, 43 

    Explanation

    Let the four parts be (a - 3d), (a - d), (a + d) and (a + 3d).
    (a - 3d) + (a - d) + (a +d ) + (a + 3d) = 124
    ? a = 31
    Also, (a - 3d) (a + 3d) = (a - d) (a + d) - 128
    ? a2 - 9d2 = a2 - d2 - 128
    ? 8d2 = 128
    ? d = 4
    a = 31, d = 4
    So, the four parts are 19, 27, 35, 43.


  • More questions

    • 1. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
    • Discuss
    • 2. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 3. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
    • Discuss
    • 4. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 5. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 6. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
    • D. 6 days
    • Discuss
    • 7. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss
    • 8. 
      105, 85, 60, 30, 0, - 45, - 90?

    • Options
    • A. 0
    • B. 85
    • C. -45
    • D. 60
    • Discuss
    • 9. 
      Let A = {1, 2, {3, 4}, 5}. Which of the following statements is true?

    • Options
    • A. {3, 4} ? A
    • B. {3, 4} ? A
    • C. 1 ? A
    • D. {1, 2, 5} ? A
    • Discuss
    • 10. 
      Two vessels A and B contains milk and water mixed in the ratio 5 : 3 and 2 : 3. When these mixtures are mixed to form a new mixture containing half milk and half water, they must be taken in the ratio ?

    • Options
    • A. 2 : 5
    • B. 3 : 5
    • C. 4 : 5
    • D. 7 : 3
    • Discuss


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