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?

6. 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.
7. 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.
8. 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
9. 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
10. 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

11. 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
12. 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
13. 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
    
14. 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
15. 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