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Home Logical Reasoning Statement and Conclusion See What Others Are Saying!
  • Question
  • What is the first term of an arithmetic progression of positive integers ? (I) Sum of the squares of the first and the second term is 116. (II)The fifth term is divisible by 7.


  • Options
  • A. Only a is sufficient
  • B. Only b is sufficient
  • C. Both a & b are necessary
  • D. None

  • Correct Answer
  • Only a is sufficient 

    Explanation

    The sum of square of two no is 116 i.e no lie 1-11, because 11x11 =121 which is greater than 116
    again after cheaking all possible pair of no only 4 and 10 satisfy this condsn , again the progression is of positive integer so 10 cant not be 1st term
    so the 1st term is 4,
    but from the 2nd we cant able to find the 1st term

    so only 1st statement is sufficient to answer the question

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

    More questions

    • 1. B2CD, _____, BCD4, B5CD, BC6D

    • Options
    • A. B2C2D
    • B. BC3D
    • C. B2C3D
    • D. BCD7
    • Discuss
    • 2. Statement: "You should not grant him leave in this week due to exigency of work." - A supervisor advises the administrative officer.

      Assumptions:

      1. Request for leave can be turned down also.
      2. The supervisor has reviewed the work required to be done during the said period.


    • Options
    • A. Only assumption I is implicit
    • B. Only assumption II is implicit
    • C. Either I or II is implicit
    • D. Neither I nor II is implicit
    • E. Both I and II are implicit
    • Discuss
    • 3. Statements: In a one day cricket match, the total runs made by a team were 200. Out of these 160 runs were made by spinners.

      Conclusions:

      1. 80% of the team consists of spinners.
      2. The opening batsmen were spinners.


    • Options
    • A. Only conclusion I follows
    • B. Only conclusion II follows
    • C. Either I or II follows
    • D. Neither I nor II follows
    • E. Both I and II follow
    • Discuss
    • 4. Statement: "This drink can be had either as it is, or after adding ice to it." - An advertisement.

      Assumptions:

      1. People differ in their preferences.
      2. Some people will get attracted to the drink as it can be had as it is.


    • Options
    • A. Only assumption I is implicit
    • B. Only assumption II is implicit
    • C. Either I or II is implicit
    • D. Neither I nor II is implicit
    • E. Both I and II are implicit
    • Discuss
    • 5. Statements: Some trains are roads. No road is jungle. All flowers are jungles.

      Conclusions:

      1. Some trains are flowers.
      2. Some trains are jungles.
      3. Some flowers are trains.
      4. No road is flower.


    • Options
    • A. None follows
    • B. Only II follows
    • C. Only III follows
    • D. Only IV follows
    • E. All follow
    • Discuss
    • 6. SLAPSTICK : LAUGHTER

    • Options
    • A. fallacy : dismay
    • B. genre : mystery
    • C. satire : anger
    • D. mimicry : tears
    • E. horror : fear
    • Discuss
    • 7. Statement: Since its launching in 1981, Vayudoot has so far accumulated losses amounting to Rs 153 crore.

      Courses of Action:

      1. Vayudoot should be directed to reduce wasteful expenditure and to increase passenger fare.
      2. An amount of about Rs 300 crore should be provided to Vayudoot to make the airliner economically viable.


    • Options
    • A. Only I follows
    • B. Only II follows
    • C. Either I or II follows
    • D. Neither I nor II follows
    • E. Both I and II follow
    • Discuss
    • 8. Statements: All cars are cats. All fans are cats.

      Conclusions:

      1. All cars are fans
      2. Some fans are cars.


    • Options
    • A. Only conclusion I follows
    • B. Only conclusion II follows
    • C. Either I or II follows
    • D. Neither I nor II follows
    • E. Both I and II follow
    • Discuss
    • 9. Statement: A large number of people in ward X of the city are diagnosed to be suffering from a fatal malaria type.

      Courses of Action:

      1. The city municipal authority should take immediate steps to carry out extensive fumigation in ward X.
      2. The people in the area should be advised to take steps to avoid mosquito bites.


    • Options
    • A. Only I follows
    • B. Only II follows
    • C. Either I or II follows
    • D. Neither I nor II follows
    • E. Both I and II follow
    • Discuss
    • 10. WAITRESS : RESTAURANT

    • Options
    • A. doctor : diagnosis
    • B. actor : role
    • C. driver : truck
    • D. teacher : school
    • E. author : book
    • Discuss


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