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Home Data Interpretation Data Sufficiency See What Others Are Saying!
  • Question
  • What is the middle number of 7 consecutive whole numbers?
    I. Product of number is 702800.
    II. sum of the the number is 105.


  • Options
  • A. if statement I alone is sufficient to answer the question.
  • B. if statement II alone is sufficient to answer the question.
  • C. if both statement I and II together are necessary to answer the question.
  • D. if both statement I and II together are not sufficient to answer the question.

  • Correct Answer
  • if statement II alone is sufficient to answer the question. 

    Explanation

    Let the 7 consecutive whole numbers be (n ± 3), (n ± 2), (n ± 1), n.
    Now i we consider Statement I alone
    Product of these 7 integers = 702800
    Since 702800 = 24 52 (251)(7), it cannot be the product of 7 consecutive whole numbers. Hence I alone is insufficient.
    Now if we consider Statement II alone
    Given that their sum = 105 = 7n or n = 15 and then 7 consecutive integers are 12, 13, 14, 15, 16, 17, 18 So, II alone is sufficient.


  • More questions

    • 1. 
      If the total amount spent during the year 1999 was $ 46000, the amount spent on food was :

    • Options
    • A. $ 2000
    • B. $ 10580
    • C. $ 23000
    • D. $ 2300
    • Discuss
    • 2. 
      Expenditure of company B in years 2003 and 2004 were in the ratio of 5 : 7 respectively. What was the respective ratio of their incomes?

    • Options
    • A. 8 : 13
    • B. 10 : 13
    • C. 11 : 14
    • D. 13 : 14
    • Discuss
    • 3. 
      The college in which minimum number of students participate in extra-curricular activities is :

    • Options
    • A. D
    • B. G
    • C. F
    • D. A
    • Discuss
    • 4. 
      Total sales (in billion of) from 2005 to 2008 is :

    • Options
    • A. 17
    • B. 27
    • C. 22
    • D. 31
    • Discuss
    • 5. 
      If in 2005 new hotels constructed were fewer by 10, what would have been the ratio between the new hotels constructed in 2004 and that constructed in 2005?

    • Options
    • A. 1 : 4
    • B. 4 : 1
    • C. 4 : 5
    • D. 5 : 4
    • Discuss
    • 6. 
      What is the average number of units sold over the years?

    • Options
    • A. 44 lakhs
    • B. 4.4 cores
    • C. 44 crores
    • D. None of these
    • Discuss
    • 7. 
      The total number of candidates found eligible for Post I from all states together is approximately what percent of total number of candidates found eligible for Post VI from all States together?

    • Options
    • A. 45 %
    • B. 50 %
    • C. 60 %
    • D. 55 %
    • Discuss
    • 8. 
      In the year 2008, the number of students studying Arts and Commerce together is what per cent of the number of studying these subject together in 2009?

    • Options
    • A. 76
    • B. 79
    • C. 82
    • D. 85
    • Discuss
    • 9. 
      By what amount (in $ Billion) has the expenditure increased over the period 1993 ? 94 to 1997 ? 98?

    • Options
    • A. 4100
    • B. 3900
    • C. 3850
    • D. 3700
    • Discuss
    • 10. 
      How is 'never' writen in a code language?
      I. never ever go there' is written as 'na ja ni ho' in that code language
      II. 'go there and come back ' is written as 'ma ho sa ni da' in the code language.

    • Options
    • A. if the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
    • B. if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
    • C. if the data either in statements I alone or in statement II alone are sufficient to answer the question; and
    • D. if the data given in both the statement I and II together are not sufficient to answer the question; and
    • Discuss


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