A2Z Night Mixed Section Quiz 5

Aspirants Zone Presents special Night Mixed Sectional Quiz for its readers to practice all the sections in one go. 

Direction (1-10): In each question two equations are given. Solve the equations and find the relation between the variables in that equation

  1. I. x2 = 32 +y2
    II. 2x + 3y – 3 = 5y + 5
    A) x > y
    B) x < y
    C) x >= y
    D) x <= y
    E) x=y or No relation can be established
    View Answer
    Option A
    Explanation
    : II. 2x – 2y = 8 => x-y=4
    I. (x+y)(x-y)=32
    use value of x-y from eq (i) in (ii)
    x=6
    y=2
  2. I. 3x – y = -2
    II. 2x2 – y = 0
    A) x > y
    B) x < y
    C) x >= y
    D) x <= y
    E) x=y or No relation can be established
    View Answer
    Option E
    Explanation
    : I. 3x + 2 =y
    II. 2x2 = y
    put y from both equations equal
    2x2=3x + 2
    2x2 – 3x -2 = 0
    x=-1/2 and 2
    put these two value in any equation
    y= 1/2 and 8  
  3. I. x2 – 2y = 8
    II. x2 + y2 = 16
    A) x > y
    B) x < y
    C) x >= y
    D) x <= y
    E) x=y or No relation can be established
    View Answer
    Option E
    Explanation
    : Put x2 from both the equations equal
    y2 + 2y – 8=0
    y = -4,2
    put these value in any equation we get
    x= -2√3, 0, +2√3
  4. I. 4x2 – 16x + 15 = 0
    II. 2y2 + y -6 = 0
    A) x > y
    B) x < y
    C) x >= y
    D) x <= y
    E) x=y or No relation can be established
    View Answer
    Option C
    Explanation
    : x = 3/2 and 5/2
    y= -2 and 3/2
  5. A) x > y
    B) x < y
    C) x >= y
    D) x <= y
    E) x=y or No relation can be established
    View Answer
      Option B
    Explanation
    : x= -23, +23
    y= 56

Direction (6-10): Reasoning Syllogism: Which conclusion follows?

  1. Statements:
    Some square are circle
    All circle are rectangle
    No rectangle is area
    Some area is side
    Conclusion:
    I. Some area are not square
    II. Some side are not circle
    A) Only I follows
    B) Only II follows
    C) Either I or II follow
    D) Neither I nor II follow
    E) Both I and II follow
    View Answer
    Option B
    Explanation
    : I. (using first three statements)Some + All + No= Some Not=> Some square are not area
    II. (using last three statements)All + No= No and No + Some= Some not reversed => Some side are not circle.
  2. Statements:
    All square are circle
    All circle are rectangle
    Some rectangle are area
    No area is side
    Conclusion:
    I. Some square not being area is a possibility
    II. All rectangle being side is a possibility
    A) Only I follows
    B) Only II follows
    C) Either I or II follow
    D) Neither I nor II follow
    E) Both I and II follow
    View Answer
    Option A
    Explanation
    : Using first three: All + All + Some = No conclusion=> Any possibility between Square and Area is true.
    II. Using last two statements: Some + No= Some not=> Some rectangle is not side. Hence all rectangle cannot be side. So 2 is false.
  3. Statements:
    No square is circle
    All circle is rectangle
    Some rectangle is area
    All area is side
    Conclusion:
    I. Some area are not square
    II. Some rectangle are not side
    A) Only I follows
    B) Only II follows
    C) Either I or II follow
    D) Neither I nor II follow
    E) Both I and II follow
    View Answer
    Option D
    Explanation
    : I. No + All + Some = No conclusion between Square and Area. So I is false
    II. Some + All = Some=> Some rectangle is side. So II. is also false
  4. Statements:
    All square is circle
    All circle is rectangle
    No rectangle is area
    No area is side
    Conclusion:
    I. No square is side
    II. Some side is square
    A) Only I follows
    B) Only II follows
    C) Either I or II follow
    D) Neither I nor II follow
    E) Both I and II follow
    View Answer
    Option C
    Explanation
    : Both I and II are false But they form the case of either or
  5. Statements:
    No square is circle
    All circle is rectangle
    Some rectangle is area
    No area is side
    Conclusion:
    I. Some rectangle is not square
    II. Some rectangle is not side.
    A) Only I follows
    B) Only II follows
    C) Either I or II follow
    D) Neither I nor II follow
    E) Both I and II follow
    View Answer
    Option E
    Explanation
    : I. Using first two statements: No + All = Some not reversed=> Some rectangle are not square
    II. Using last two statements: Some + No= Some Not=> Some rectangle is not side.

Direction (11-15): Double Fillers

  1. Scientists disagree about whether consciousness exists at all outside the ________ of our own collective __________ .
    A) universe, manpower
    B) illusions, imagination
    C) misnomer, rule
    D) passim, rage
    View Answer
    Option B
    Explanation
    : illusions, imagination
  2. Many organizations have multiple independent initiatives ______ to improve performance, usually ________ within separate organizational groups.
    A) advancing, rented
    B) commenced, front
    C) underway, housed
    D) providing, spoiled
    View Answer
    Option C
    Explanation
    : underway, housed
  3. Instead of working on separate initiatives inside organizational units, companies have to think ___________ about how their operations can contribute to _______ a distinctive customer experience.
    A) holistically, delivering
    B) comprehensively, replacing
    C) integrating, lamenting
    D) deeply, reversing
    View Answer
    Option A
    Explanation
    : holistically : dealing with or treating the whole of something or someone and not just a part
  4. Companies can both rise and fall with ________ speed as new customer needs are _______ and new ways of meeting them are developed.
    A) great, fortuned
    B) relative, diagnosed
    C) astonishing, uncovered
    D) certain, realized
    View Answer
    Option C
    Explanation
    : astonishing, uncovered
  5. Being the CEO of a large company facing digital ______ can seem like being a gambler at a ______ table.
    A) disruption, roulette
    B) upheaval, dining
    C) advancement, furnished
    D) dynamics, scruffy
    View Answer
    Option A
    Explanation
    : roulette : a gambling game in which a ball is dropped on to a revolving wheel with numbered compartment

 

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