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  • Question
  • The average of x 1, x 2 and x 3 is 14. Twice the sum of x 2 and x 3 is 30. What is the value of x 1?


  • Options
  • A. 20
  • B. 27
  • C. 16
  • D. 2

  • Correct Answer
  • 27 

    Explanation

    x1 + x2 + x3 = 3 x 14 = 42 ....(i)
    and (x1 + x2) x 2 = 30
    ? x1 + x2 =15 ....(ii)
    From Eqs. (i) and (ii), we get
    x1 + 15 = 42
    ? x1 = 42 - 15 = 27


  • Average problems


    Search Results


    • 1. 
      The Average of 5 observation is 15. If three new observation 16.5, 18 and 14.5 be added. Then find the new average.

    • Options
    • A. 14.8
    • B. 15.5
    • C. 16.2
    • D. 15.6
    • Discuss
    • 2. 
      A batsman has a certain average of runs for 14th innings. He scores 72 runs in the 15th innings, thus his average increased by 2. Find the average after 15th innings.

    • Options
    • A. 44
    • B. 46
    • C. 42
    • D. 48
    • Discuss
    • 3. 
      The average weight of 60 students in a class was calculated to be 40 kg. Later it was found out that the weight of one of the students was calculated as 36 kg, whereas his actual weight was 33 kg. What is the actual average weight of the students in the class?

    • Options
    • A. 39.90 kg
    • B. 39.95 kg
    • C. 39 kg
    • D. 38 kg
    • Discuss
    • 4. 
      Average to ten number is 7 . If every number is multiplied by 12, What will be the average of new numbers?

    • Options
    • A. 7
    • B. 9
    • C. 82
    • D. 84
    • Discuss
    • 5. 
      The Average of six observation is 12. The average decreases by 1 when a new observation is included. What is the seventh observation?

    • Options
    • A. 1
    • B. 3
    • C. 5
    • D. 6
    • Discuss
    • 6. 
      The average age of 45 students in a class in 13 yr, 15 new students with an average age of 18 yr join the class. What is the average age of all the students in the class?

    • Options
    • A. 13.15 yr
    • B. 14.25 yr
    • C. 12.28 yr
    • D. 16.42 yr
    • Discuss
    • 7. 
      The average salary of the entire staff in an office is ? 200 per day. The average salary of officers is ? 550 and that of non officers is ? 120. If the number of officers is 16, then find the number of non officers in the office.

    • Options
    • A. 72
    • B. 60
    • C. 70
    • D. 65
    • Discuss
    • 8. 
      Average value of property of three persons A, B, C is ? 11111 crore. The property of C is as less as the property of A is greater than the average property of both C and A. The value of property of B is.

    • Options
    • A. 110 crore
    • B. 11211 crore
    • C. 11111 crore
    • D. 21410 crore
    • Discuss
    • 9. 
      The average age of 25 girls in a class decreases by 6 months when a new girl takes the place of 20 year old girl. Find out the age of the new girl.

    • Options
    • A. 7.5 yr
    • B. 8.5 yr
    • C. 9 yr
    • D. 6 yr
    • Discuss
    • 10. 
      The average age of all the members of a family is 25 yr. The average age of males is 30 yr while the average age of females is 20 yr. If the number of females in the family is 15, then find out the number of males.

    • Options
    • A. 20
    • B. 30
    • C. 15
    • D. 18
    • Discuss


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