# A2Z Night Mixed Section Quiz 8

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

1. A mixture is said to be symmetrical if it contains liquids A and B in ratio 2 : 3. 60 liters of a mixture of A and B is taken in which A and B are in the ratio 1 : 2. What should be the ratio of A and B in 15 liters of mixture that when mixed with first mixture results in a symmetrical mixture?
A) 1:3
B) 2:3
C) 3:2
D) 2:1
E) None of these
Option D
Explanation
: First mixture: A=1/3*60=20L; B=40 L
In second mixture let A=x ; B=15-x
(20+x)/(40+15-x)=2/3
x=10 => A=10; B=5
A/B=2:1
2. The sum of cost price and marked price of an item is Rs. 2250. If a discount of 20% is given, the profit earned is 45%. Find the cost price of the item.
A) Rs 600
B) Rs 700
C) Rs 800
D) Rs 1200
E) None of these
Option C
Explanation
: Let CP=x
MP=2250-x
MP(100-%d)/100= CP(100+%g)/100
(2250-x)*80/100=x*145/100
x=800
3. To complete a work in 10 days, both A and B should work. If A leaves the work after 4 days, it takes a total of 13 days for work to complete. In how many days can B finish the work alone?
A) 12
B) 15
C) 20
D) 25
E) None of these
Option B
Explanation
: 10/A +10/B=1 put 1/A=a and 1/B=b =>10a+10b=1
similarly 4/A + 13/B=1 =>4a+13b=1
solve both equations b=3/45
hence y=15
4. The sum of the ages of a father and his son is 50 years. Five years ago, the product of their ages is 175. Find the present age of father.
A) 30 years
B) 35 years
C) 40 years
D) 45 years
E) None of these
Option C
Explanation
: Father=x
Son=50-x
Father 5 years before=x-5
son 5 years before=45-x
(x-5)(45-x)=174
x2 – 50x + 400 = 0
x=40,10
hence father =40, as fathers age cannot be less than his sons age
1. What is the area of a rectangle whose length and breadth are in the ratio 4:3 and the length of rectangle is equal to the diameter of a semicircle whose perimeter is 72 cm.
A) 520 cm2
B) 540 cm2
C) 568 cm2
D) 588 cm2
E) None of these
Option D
Explanation
: P=D+pie*r=2r+pie*r=72
r=14=>D=28
L=28=>B=3/4*28=21
area=28*21=588

Direction (6-10): Reasoning- Inequality

1. Statements: A > B >= Z > D ; B > T < U < X
Conclusion:
I. T < A
II. D > T
A) Only I is true
B) Only II is true
C) Either I or II is true
D) Neither I nor II is true
E) Both I and II are true
Option A
Explanation
: Only I is true
2. Statements: C ≤ D = M ≤ I;  I ≤ K = G
Conclusion:
I. C < G
II. G = C
A) Only I is true
B) Only II is true
C) Either I or II is true
D) Neither I nor II is true
E) Both I and II are true
Option C
Explanation
: C <= G hence either
3. Statements: A < V < T < X > Z
Conclusion:
I. Z < A
II. A < X
A) Only I is true
B) Only II is true
C) Either I or II is true
D) Neither I nor II is true
E) Both I and II are true
Option B
Explanation
: Only II is true
4. Statements: A < C < E < G ; E < F < H
Conclusion:
I. H > A
II. G > H
A) Only I is true
B) Only II is true
C) Either I or II is true
D) Neither I nor II is true
E) Both I and II are true
Option A
Explanation
: Only I is true
5. Statements: A < G < ?; G > F <= Z
Conclusion:
I. A <= F
II. C > F
A) Only I is true
B) Only II is true
C) Either I or II is true
D) Neither I nor II is true
E) Both I and II are true
Option B
Explanation
: Only II is true

Direction (11-15): English Cloze Test

Health care in India is severely (11)______ and neither the Government nor the common citizen has the financial ability to pay for quality medical care. Given this situation, private health insurance should have a wide acceptance in the market and play a significant role in meeting the health care funding (12)_______ . The greater percentage of the Indian population lives in rural areas which have very (13)_______ healthcare facilities. The (14)_____ is when any illness or disease affects them there is no source of finance available to them to meet the expenses. This pushes them further into debt. A right solution therefore is a Health insurance which provides protection at affordable rates within their (15)______ to pay.

1. A) prorogued
B) underfunded
C) lofted
D) futile
Option B
Explanation
: underfunded
2. A) flaw
B) arrears
C) shortfalls
D) abundance
Option C
Explanation
: shortfalls: an amount that is less than the level that was expected or needed
3. A) defined
B) quality
C) outgoing
D) limited
Option D
Explanation
: limited
4. A) shock
B) tragedy
C) benefit
D) reverse
Option B
Explanation
: tragedy – an event causing great suffering, destruction, and distres
5. A) scope
B) capacity
C) limitation
D) needs