Mixtures

Pre-Assessment : CAT 2017

Consider three mixtures - the first having water
and liquid A in the ratio 1 : 2, the second having
water and liquid B in the ratio 1 : 3, and the third
having water and liquid C in the ratio 1 : 4. These
three mixtures of A, B, and C, respectively, are
further mixed in the proportion 4 : 3 : 2. Then the
resulting mixture has
A. The same amount of water and liquid B
B. The same amount of liquids B and C
C. More water than liquid B
D. More water than liquid A
Type : Based on Capacity
Question 1:
Two alloys A and B contain iron and silver in
ratio 7 : 5 and 5 : 3. Equal quantity of both
alloys are melted and recast into a new alloy.
What is the ratio between iron and silver in
new alloy?
(1) 29:19
(2) 19 :29
(3)11 :19
(4) Not
Question 2:

The ratio of milk and water in two

vessels having same capacity are 2 : 3
and 5 : 4. Both are poured into a third
vessel, then find the ratio of milk and
water in third vessel.
Question 3:
Two alloys contain iron and copper are in ratio 5 : 7
and 9 : 7. If equal quantities of both alloys are
melted to recast a new alloy, then find the quantity
of iron in 960 gm of new alloy.
Question 4:
The ratio of milk and water in two vessels
are 3 : 5 and 4 : 7. The capacity of both
vessels are in the ratio1 : 2. Both are poured
into a third vessel, then find the ratio of
milk and water in third vessel.
Question 5:
The ratio of milk and water in two vessels are
3 : 4 and 5 : 6. The capacity of both vessels
are in the ratio 1 : 2. If the whole quantity of
first vessel and half quantity of second vessel
are poured into a third vessel, then find the
ratio of milk and water in third vessel.
Question 6:

The ratio of milk and water in three vessels

are 2 : 1, 1 : 5 and 5 : 7. The capacity of all
vessels are same. All are poured into a fourth
vessel, then find the ratio of milk and water
in fourth vessel.
Question 7:
The ratio of milk and water in three vessels
are 3 : 1, 4 : 3 and 5 : 2. The ratio of capacity
of all vessels are in the ratio 6 : 4 : 3. All are
poured into a fourth vessel, then find the
ratio of milk and water in fourth vessel.
Question 8:
The ratio of milk and water in four vessels
are 1 : 2, 3 : 2, 7 : 3 and 1 : 1. The ratio of
capacity of all vessels are in the ratio 1 : 2 : 3
: 4. All are poured into a fifth vessel, then
find the ratio of milk and water in fifth
vessel.
Pre-Assessment : CAT 2017
Consider three mixtures - the first having water and
liquid A in the ratio 1 : 2, the second having water and
liquid B in the ratio 1 : 3, and the third having water
and liquid C in the ratio 1 : 4. These three mixtures of
A, B, and C, respectively, are further mixed in the
proportion 4 : 3 : 2. Then the resulting mixture has
A. The same amount of water and liquid B
B. The same amount of liquids B and C
C. More water than liquid B
D. More water than liquid A
Type : Adding / Withdraw
Question 1:
The ratio of milk and water in a mixture is 3 :
7. We added 10 lt water to the mixture then
ratio becomes 1 : 3. Find the initial quantity of
milk.
Question 2:

Ratio between milk and water in a

mixture to 4 : 3. When 18 liters of water
is added In the mixture then ratio
becomes 2 : 3. Find initial quantity of
water.
***
Question 3:
A solution of salt and water
contains 15% salt by weight. 30 kg of
water evaporates, and the solution
now contains 20% of the salt. The
original quantity of the solution is
Question 4:
An alloy of zinc and tin contains 35% of zinc by
weight. What quantity of zinc must be added to
400 lb of this alloy such that there is 60% of
zinc by weight in the final mixture?
Question 5:
A mixture of 40 litres of milk & water contains
10% water. How much water should be added
to this so that water must be 20% in the new
mixture?
Question 6:
An alloy of copper and lead contains 35% of
copper by weight. If the final percentage of
copper is to be 66.66, then what will be the
weight of copper which must be added to
400 lb of this alloy?
Type : Replace / Removal – Many Times
Question 1 :

40 liters of milk is kept in a vessel. 4 liters of milk was taken out

of this vessel and the same amount of water was added to it.
This process was done two more times. How much milk is there
in the vessel now?
(A) 34.23 L
|B) 29.16 L
(C) 30L
(D) 32L
 Question2 :
A vessel full of 1600ltr milk. A person draw out 25% of milk
form the vessel and replaced with water. He has repeated the
same process 2 times more. Find the final amount of milk in
the vessel?
Question 3 :
A vessel is full of 90ltr milk, 18 ltr milk is taken out and replaced
by water and again this process is repeated 2 times, the
amount of milk left after the 3rd replacement is? एक बर्तन 90
लीटर दध ू से भरा है । इसमें से 18 लीटर दध
ू ननकालकर उर्नी ही मात्रा
में पानी ममला ददया गया। इस प्रक्रिया को दो बार और दोहराया गया।
र्ीसरे प्रनर्स्थापन के बाद दध ू की बची हुई मात्रा बर्ाइये।
(a) 11.52ltr (c) 23.04ltr
(b) 46.08ltr
(d) 69.12ltr
Question 4:
A jar is filled with milk. A person replaces 25% of milk with
water. He repeats the same process 5 times and as a result
there is 1458ml of milk left in the jar. The remaining part of jar
is filled with water. The initial quantity of milk in the jar was?
एक बर्तन दध ू से भरा हुआ है । एक व्यक्तर् इसमें से 25% दध
ू
ननकालकर उसे पानी से भर दे र्ा है । वह 5 बार एक ही प्रक्रिया को
दोहरार्ा है । यदद अंर् में बर्तन में 1458 ममलीलीटर दध ू बचर्ा है र्ो
बर्तन में दधू की प्रारं मभक मात्रा क्रकर्नी थी?
1. 4.096L
2. 5.12L
3. 6.1441
4. 9.216L
Question 5 :
24 lit are drawn from a vessel full of wine, then filled with
water, This operation is performed 3 times more. The ratio of
quantity of wine now left in vessel to that of water is 16 : 65.
How much wine did vessel hold initially?
एक बर्तन में क्िसमें वाइन भरा है 24 लीटर ननकाला िार्ा है और क्रिर
उसे पानी से भर ददया िार्ा है इसी प्रनर्क्रिया को र्ीन
बार और दोहराया िार्ा है र्ो अब बर्तन में बचने वाली वाइन का पानी
के साथ अनप ु ार् 16:65 हो िार्ा है र्ो शरु
ु आर् में बर्तन में क्रकर्नी
वाइन थी ?
a) 48 b) 72 c) 96 d) 120
Practice H.w
 Question 1 :
The ratios of copper to zinc in alloys A and B are 3: 4 and 5: 9,
respectively. A and B are taken in the ratio 2 : 3 and melted to
form a new alloy C. What is the ratio of copper to zinc in C?
ममश्र धार्ु A और B में र्ांबे और िस्र्ा के अनप
ु ार् िमश 3 4 और 5:9
हैं। A और B को 2: 3 के अनुपार् में मलया िार्ा है और एक नए
ममश्रधार्ु C को बनाने के मलए पपघलाया िार्ा है । C में र्ांबे और िस्र्ा
का अनप ु ार् तया है ? (MAINS 2018)
(a) 27:43
(c) 3:5
(b) 8: 13
(d) 9:11
Question 2 :
In a “R” liters mixture, the ratio between milk and water was
3:4. When 40 liters of water is added then the ratio
becomes 9:17. Find the value of R.

लीटर ममश्रण में , दध

ू और पानी के बीच का अनुपार् 3:4 था। िब
40 लीटर पानी ममलाया िार्ा है र्ो अनपु ार् 9:17 हो िार्ा है । R का
मान ज्ञार् कीक्िये ।
a) 168
b) 147
c) 126
d) 105
e) None of these
 Question 3 :
The ratio of milk and water in a vessel is 4:7. If 25ltr water is
added then ratio becomes 6:13. Find the initial quantity of
mixture (in ltr)? एक बर्तन में दध ू और पानी का अनुपार् 4:7 है ।
यदद 25 लीटर पानी में ममलाया िार्ा है र्ो ममश्रण में दध ू और पानी का
अनुपार् 6:13 हो
िार्ा है । ममश्रण की प्रारं मभक मात्रा (लीटर में ) ज्ञार् कीक्िए?
(a) 150 c) 165
(b) 232 (d) 175
Question 4:
In a mixture, milk and water are in ratio of 1: 4. Some milk is
added to the mixture because of which ratio of milk and water
becomes 2: 1. How much milk was added as a percentage of
initial mixture ?
एक ममश्रण में दध ू और पानी का अनुपार् 14 है । ममश्रण में थोडा दध ू
ममलाया िार्ा है क्िससे दध ू और पानी का अनप ु ार् 2:1 हो िार्ा है ।
प्रारं मभक ममश्रण के क्रकर्ने प्रनर्शर् दध
ू ममलाया गया है ?
A. 140 percent
B. 700 percent
C. 240 percent
D. 400 percent
 Question 5 :
In 90 litres of a mixture of milk and water, the ratio of
milk and water is 4: 1. How much water should be added
in the mixture so that the ratio of milk to water becomes
3: 1?
दधू और पानी के 90 लीटर ममश्रण में दध ू और पानी का अनप ु ार्
41 है । ममश्रण में क्रकर्ना पानी ममलाना चादहए र्ाक्रक दध
ू का
पानी से अनप ु ार् 31 हो िाए?

TITA
Question 6 :
The ratio of milk and water in a mixture is 1:3. We added x ltr
of milk to the mixture then ratio becomes 7:15 and we added
50ltr water to the mixture, then ratio becomes 2:5. Find the
value of x.
एक ममश्रण में दध ू और पानी का अनप ु ार् 1:3 है ।
अनुपार् 7 : 15 हो िार्ा है । अब इस ममश्रण में 50
a) 28ltr c) 40ltr
(b) 32ltr (d) 68ltr
यदद ममश्रण में x लीटर दधू ममलाया िाये र्ो ममश्रण में दध
ू और पानी
का
लीटर पानी ममलाने पर अनुपार् 2:5 हो िार्ा है x का मान ज्ञार् करें ।
 Question 7 :
Kulbhushan started a juice (syrup + water) counter. Initially, he
had 140 litres of juice which had 40% water in it. He sold 30
litres of the juice. Then he added equal amounts of syrup and
water. Now the ratio of water to syrup became 3: 4. What
quantity of water was added?
कुलभूषण ने िस ू (मसरप + पानी) काउं टर शरू
ु क्रकया। शरु
ु आर् में उनके
पास 140 लीटर िस ू था क्िसमें 40% पानी था। उसने 30 लीटर िस ू
बेचा। क्रिर उसने बराबर मात्रा में मसरप और पानी ममलाया। अब
पानी से मसरप का अनुपार् 3 : 4 हो गया। इसमें क्रकर्नी मात्रा में पानी
ममलाया गया?
(a) 24 litres
(b) 28 litres
(c) 26 litres
(d) 22 litres