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  • Question
  • Find by how much percentage the average of first 10 odd numbers (starting from 1) is greater than the last term ?


  • Options
  • A. 991/16 %
  • B. 900/19 %
  • C. 874/13 %
  • D. 719/17 %

  • Correct Answer
  • 900/19 % 

    Explanation

    First ten odd numbers form an arithmetic progression of the form
    1,3,5,7,9......
    here a = first term = 1
    d = common difference = 2
    Average of first n numbers = (2a + (n - 1)d)/2
    n th term of the AP = a + (n - 1)d
    Substituting a = 1, d = 2 and n = 10 in the above formulas
    average of first 10 numbers = 10
    10 th term of the AP = 19
    Therefore average of first 10 terms is 19 - 10 = 9 greater than
    the last term. Hence the average is greater than the sum by
    9/19 X 100 = 900/19 %

  • Tags: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO

    Arithmetic Reasoning problems


    Search Results


    • 1. On sport?s day, if 12 children were made to stand in each column, 98 columns could be formed. After a certain music being played the plan was that the children have to stand in concentric circles such that the innermost circle will have one student, the next circle will have two students, the third circle will have 3 students and so on. How many circles will be formed in this manner ?

    • Options
    • A. 44
    • B. 46
    • C. 48
    • D. 49
    • Discuss
    • 2. There are two examinations rooms P and Q. If 10 students are sent from P to Q, then the number of students in each room is the same. If 20 candidates are sent from Q to P, then the number of students in P is double the number of students in Q. The number of students in room Q is ?

    • Options
    • A. 100
    • B. 70
    • C. 120
    • D. 80
    • Discuss
    • 3. Every integer is a rational number.

    • Options
    • A. TRUE
    • B. FALSE
    • Discuss
    • 4. Which statement best compares a line and a point?

    • Options
    • A. A point has no dimension and a line has one dimension.
    • B. A line can have line segments on it whereas a point cannot be on any line segment.
    • C. point is a location whereas a line has several planes located on it
    • D. A line can lie on a plane whereas a point cannot lie on a plane.
    • Discuss
    • 5. The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is ?

    • Options
    • A. 6
    • B. 9
    • C. 7
    • D. 5
    • Discuss
    • 6. In a street, there are certain number of houses. People in that street are decided to paint their houses with certain colours. If four houses are painted with each colour, then one house will be left without any colour. If five houses are painted with each colour, then one colour will remain. Find the number of houses in that street ?

    • Options
    • A. 25
    • B. 6
    • C. 32
    • D. 7
    • Discuss
    • 7. There are five bags. In the first bag we put some fruits. Each bag the number of fruits is reduced by 1/4. The last bag contains 4. Then the number of fruits in the first bag is ?

    • Options
    • A. 2596
    • B. 1024
    • C. 256
    • D. 64
    • Discuss
    • 8. If in an A.P series 18th term is 29 and 29th term is 18. Then find the 49th term ?

    • Options
    • A. -3
    • B. -2
    • C. 0
    • D. 1
    • Discuss
    • 9. Two angles whose sum is 180 degrees are

    • Options
    • A. Complimentary angles
    • B. Supplementary angles
    • C. Alternate angles
    • D. None of the above
    • Discuss
    • 10. The binary system uses powers of

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. None of the above
    • Discuss


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