logo

CuriousTab

CuriousTab

Discussion


Home Aptitude Linear Equation See What Others Are Saying!
  • Question
  • A number 15 is divided into 3 parts which are in Arithmetic Progression (A.P) and the sum of their squares is 83. What will be the smallest number?


  • Options
  • A. 5
  • B. 3
  • C. 6
  • D. 8

  • Correct Answer


  • Explanation

    Let us assume the second number is a and the difference between consecutive numbers is d.
    According to Arithmetic progression,
    First number = a - d
    Second number = a
    Third number = a + d
    According to question,
    Sum of the all three numbers = 15
    a - d + a + a + d = 15
    3a = 15
    a = 5
    Again according to given question,
    sum of square of the 3 numbers = 83
    (a - d) 2 + a 2 + (a + d) 2 = 83
    apply the algebra formula
    a 2 + d 2 - 2ad + a 2 + a 2 + d 2 + 2ad = 83
    3a 2 + 2d 2 = 83
    Put the value of a in above equation.
    3 x 5 2 + 2d2 = 83
    3 x 25 + 2d2 = 83
    75 + 2d2 = 83
    2d 2 = 83 - 75
    2d 2 = 8
    d 2 = 8/2
    d 2 = 4
    d = 2
    Put the value of a and d in below equation.
    First number = a - d = 5 - 2 = 3
    Second number = a = 5
    Third number = a + d = 5 + 2 = 7
    The smallest number is 3.


  • More questions

    • 1. 
      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
    • Discuss
    • 2. If 4x = 18y, then the value of ( x/y - 1) is

    • Options
    • A. 1 3
    • B. 7 2
    • C. 2 3
    • D. 3 2
    • Discuss
    • 3. 
      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
    • 4. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 5. 
      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
    • 6. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 7. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 8. 
      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
    • 9. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss
    • 10. 
      105, 85, 60, 30, 0, - 45, - 90?

    • Options
    • A. 0
    • B. 85
    • C. -45
    • D. 60
    • Discuss


    Comments

    There are no comments.

Enter a new Comment