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  • Question
  • I. a2-7a+12 = 0 , II. b2-3b+2 = 0 Solve both the equations to find the values of a and b ?


  • Options
  • A. if a > b
  • B. if a < b
  • C. if the relationship between a and b cannot be established.
  • D. if a ? b

  • Correct Answer
  • if a > b 

    Explanation

    I.  (a - 3)(a - 4) = 0

     

    => a = 3, 4

     

    II.   (b - 2)(b - 1) = 0

     

    => b = 1, 2

     

    => a > b

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

    Statement and Conclusion problems


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    • 1. Draw the conclusion from the following sentences 1. Apartments in the Riverdale Manor cost less than apartments in The Gaslight Commons. 2. Apartments in the Livingston Gate cost more than apartments in the The Gaslight Commons. 3. Of the three apartment buildings, the Livingston Gate costs the most. If the first two statements are true, the third statement is

    • Options
    • A. TRUE
    • B. FALSE
    • Discuss
    • 2. Statements : National Aluminium Company has moved India from a position of shortage to self-sufficiency in the metal. Conclusions : a) Previously, India had to import aluminium. b) With this speed, it can soon become a foreign exchange earner.

    • Options
    • A. Only a follows
    • B. Only b follows
    • C. Neither a nor b follows
    • D. Both a and b follows
    • Discuss
    • 3. Statements : Government has spoiled many top ranking financial institutions by appointing bureaucrats as Directors of these institutions. Conclusions : a) Government should appoint Directors of the financial institutes taking into consideration the expertise of the person in the area of finance. b) The Director of the financial institute should have expertise commensurate with the financial work carried out by the institute.

    • Options
    • A. Only a follows
    • B. Only b follows
    • C. Both a & b follows
    • D. Neither a nor b follows
    • Discuss
    • 4. In the question below consists of a question and two statements numbered a and b given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer. Question: How is Vinitha related to Ragini ? Statements: a. Vinitha's husband is the only son of Ragini's mother. b. Vinitha's brother and Ragini's husband are cousins.

    • Options
    • A. Neither a nor b is sufficient
    • B. Either a or b is sufficient
    • C. Both a & b are sufficient
    • D. a alone is sufficient while b alone is not sufficient
    • Discuss
    • 5. In the question below consists of a question and two statements numbered a and b given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer. Question: In which year was Kalyan born ? Statements: a. Kalyan at present is 15 years younger to his mother. b. Kalyan's brother, who was born in 1991, is 25 years younger to his mother.

    • Options
    • A. b alone is sufficient while a alone is not sufficient
    • B. a alone is sufficient while b alone is not sufficient
    • C. Both a and b are sufficient
    • D. Neither a nor b is sufficient
    • Discuss
    • 6. Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement. Statement: No man is a donkey. Ajay is a man. Conclusion I: Ajay is not a donkey. II: All man are not Ajay.

    • Options
    • A. Only conclusion I follows
    • B. Only conclusion II follows
    • C. Both conclusion I and conclusion II follow
    • D. Neither conclusion I nor conclusion II follows
    • Discuss
    • 7. In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from comonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: I. Some staplers are pins. II. All pins are markers. Conclusions: I. Some staplers are markers. II. All markers are pins.

    • Options
    • A. Only conclusion (I) follows.
    • B. Only conclusion (II) follows.
    • C. Neither conclusion (I) nor conclusion (II) follows.
    • D. Both conclusions follow.
    • Discuss
    • 8. In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: I. All cups are vegetable. II. All vegetable are pens. Conclusions: I. Some pens are vegetable. II. Some pens are cups.

    • Options
    • A. Only conclusion (I) follows.
    • B. Only conclusion (II) follows.
    • C. Both conclusion follow.
    • D. Neither conclusion (I) nor conclusion (II) follows.
    • Discuss
    • 9. the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement: (I) Kids rejoice with toys and toys give them new opportunities to think in various ways. (II) Toys are non-living things that create a virtual world around kids to think and perceive in various ways. Conclusions: (I) If children don't play with toys some part of the personality is underdeveloped. (II) Toys are mandatory and undetachable part of their personality.

    • Options
    • A. Only conclusion II follows
    • B. Conclusion I and II both follow
    • C. Neither I nor II follow
    • D. Only conclusion I follows
    • Discuss
    • 10. In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement: (I) All young scientists are open-minded. (II) No open-minded men are superstitious. Conclusions: (I) No scientist is superstitious. (II) No young people are superstitious.

    • Options
    • A. Conclusion I follows
    • B. Conclusion II follows
    • C. Neither I nor II follows
    • D. Both I and II follows
    • Discuss


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