# 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
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
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
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
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
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
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
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
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
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
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
Option B
Explanation
: illusions, imagination
2. Many organizations have multiple independent initiatives ______ to improve performance, usually ________ within separate organizational groups.
B) commenced, front
C) underway, housed
D) providing, spoiled
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
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
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