151. A Jar contains 80 liters acid and 40 liters water. If 36 liters of mixture is taken out and replaced with water, then what is the ratio of the acid and water in the final solution?

एक जार में 80 लीटर अम्ल और 40 लीटर पानी निहित है। यदि मिश्रण के 36 लीटर को बाहर निकाला गया है और पानी से प्रतिस्थापित किया गया है, फिर अंतिम मिश्रण में अम्ल और पानी का अनुपात क्या है?

A. 4:5
B. 6:7
C. 7:8
D. 8:9
E. None of these

Option “C” is correct.

Acid = 80 liters

Water = 40 liters

Ratio of acid and water = 80:40 = 2:1

Acid in 36 liters = 2/3 * 36 = 24 liters

Water in 36 liters = 1/3 * 36 = 12 liters

Required ratio = 80 – 24:40 – 12 + 36

= 56:64

= 7:8

152. A jar contains 64 liters of pure milk. One-fourth of the milk is replaced by water. Again the operation is performed, and one-fourth of mixture is replaced by water. Find the final ratio of milk to water in the container.

एक जार में 64 लीटर शुद्ध दूध होता है। दूध को एक चौथाई पानी से बदल दिया जाता है। फिर इस क्रिया को दोहराया जाता है, और मिश्रण को दोबारा एक चौथाई पानी से बदल दिया जाता है। जार में दूध का पानी के साथ अंतिम अनुपात ज्ञात कीजिये।

A. 9:7
B. 1:2
C. 1:9
D. 1:7
E. None of these

Option “A” is correct.

After 2 operations, final quantity of milk = 64 (1 – 1/4)2

= 64 * 3/4*3/4

= 36 liters

So quantity of water is 64 – 36 = 28L

So ratio is 36: 28 = 9: 7

153. Kowsick had some quantity of coke. He drunk 15% of coke and replaced with water. He then drunk 20% of mixture and replaced with water. Finally, he drunk 30% of mixture and replaced with water. If he was left with 1904 ml of coke, then initially, how much coke did he have?

कोसिक के पास कुछ मात्रा में कोक थी। उन्होंने 15% कोक पीया और उसे पानी से प्रतिस्थापित किया । फिर उसने 20% मिश्रण पीया और उसे पानी से प्रतिस्थापित किया। अंत में, उसने 30% मिश्रण पी लिया और उसे पानी से प्रतिस्थापित किया। अगर उसके पास 1904 मिली कोक बचता है, तो शुरू में, उसके पास कितना कोक था?

A. 4.2 litres
B. 4 litres
C. 4.5 litres
D. 5.6 litres
E. 4.8 litres

Option “B” is correct.

Let Kowsick had ‘a’ ml coke After the first process, the quantity of coke left = 85% of a

= 0.85a ml

After the 2nd process, the quantity of coke left = 80% of 0.85a = 0.68a

After the third process, the quantity of coke left = 70% of 0.68a = 0.476a = 1904

a = 1904/0.476 = 4000 ml = 4 litres

Short cut:

The initial quantity of coke = 1904 * 100/70 * 100/80 * 100/85 = 4000 ml

= 4 litres

154. 2 litres of a mixture of juice (organe pulp + water) comprises 70% of organe pulp and rest is water, if 50% of the mixture is replaced by honey. Find the ratio of the mixture of organe pulp, water and honey.

रस के मिश्रण के 2 लीटर (ऑर्गन का गूदा + पानी) में 70% ऑर्गन का गूदा होता है और शेष पानी होता है, यदि 50% मिश्रण को शहद से बदल दिया जाए। ऑर्गन गूदा, पानी और शहद के मिश्रण का अनुपात ज्ञात कीजिए।

A. 7:3:10
B. 10:7:3
C. 7:10:3
D. 7:3:11
E. 10:3:7

Option “A” is correct.

According to the question,

Quantity of organe pulp = 2 * 70% = 1.4litres

Quantity of water = 2 * 30% = 0.6litres

After replacement,

Quantity of organe pulp = 1.4 – 1.4/2 = 0.7litres

Quantity of water = 0.6 – 0.6/2 = 0.3litres

Quantity of honey = 0.7 + 0.3 = 1litres

Required ratio = 0.7:0.3:1 = 7:3:10

155. 222 litres of mixture contains wine and water in the ratio of 31:6, if 74 litres of this mixture is taken out and replaced with water, then find the ratio of wine and water in the final mixture.

222 लीटर मिश्रण में शराब और पानी 31: 6 के अनुपात में निहित है, यदि इस मिश्रण के 74 लीटर को बाहर निकाला गया है और पानी से प्रतिस्थापित किया गया है, तो अंतिम मिश्रण में शराब और पानी के अनुपात को ज्ञात कीजिए।

A. 62:47
B. 62:41
C. 62:49
D. 47:62
E. 49:62

Option “C” is correct.

Initial amount of wine in the mixture = (31/37) * (222) = 186liters

Therefore initial amount of water in the mixture = 222-186 = 36litres

If 74 litres of mixture is removed, removed quantity also same as that of initial ratio

Amount of wine removed = (31/37) * (74) = 62litres

Remaining 12 litres are water

Therefore required ratio,

=(186-62) : (36-12+74)

=124: 98

=62:49

156. A Jar of volume 80 liter it had wine and water in the ratio of 3:2. 12.5% of mixture was drawn out and replaced with water. What was the final ratio of wine and water?

80 लीटर आयतन के एक जार में वाइन और पानी का अनुपात 3:2 है। मिश्रण का 12.5% निकाल लिया गया और पानी से बदल दिया गया। वाइन और पानी का अंतिम अनुपात क्या था?

A. 21:19
B. 19:21
C. 17:23
D. 23:17
E. None of these

Option “A” is correct.

Initially, wine and water ratio=3:2

wine=3*80/5=48

water=2*80/5=32

wine =48*(1-12.5/100)

=48*(7/8)=42

Therefore, water=80-42=38

Required ratio=42/38

=21:19

157. A man has 250 liters of milk and each time he takes out 25 litres of milk and replaced it with same quantity of water. If he repeats this process thrice, then find the quantity of milk in the final solution?

एक आदमी के पास 250 लीटर दूध है और वह हर बार 25 लीटर दूध निकाल कर उसके स्थान पर उतनी ही मात्रा में पानी डाल देता है। यदि वह इस प्रक्रिया को तीन बार दोहराता है, तो अंतिम घोल में दूध की मात्रा ज्ञात कीजिए?

A. 182.25 litres
B. 128.75 litres
C. 144.87 litres
D. 129.65 litres
E. None of these

Option “A” is correct.

Remaining quantity of milk after third replacement = Total quantity [1-(withdrawal quantity/initial quantity)n]

= 250[1-(25/250)]3

= 250*(1-0.1)3

= 182.25 litres

158. A man has two types of oils groundnut oil and palm oil. Now in 200 litres of groundnut oil he replaced 40 litres with palm oil and again he replaced 20 litres of the mixture with palm oil. Find the ratio of groundnut oil and palm oil in the final mixture?

एक आदमी के पास दो तरह के तेल -मूंगफली का तेल और ताड़ का तेल होते हैं। अब 200 लीटर मूंगफली के तेल में उसने 40 लीटर ताड़ के तेल से बदल दिया और फिर से उसने 20 लीटर मिश्रण को ताड़ के तेल से बदल दिया। अंतिम मिश्रण में मूंगफली के तेल और ताड़ के तेल का अनुपात ज्ञात कीजिये?

A. 10:11
B. 12:5
C. 14:6
D. 18:7
E. None of these

Option “D” is correct.

Initially Groundnut oil=200 lts

1st replacement of palm oil=40lts

2nd replacement of mixture=20lts

Groundnut oil at the end =200*(160/200)*(180/200)

=9*16=144

Palm oil at the end =200-144=56

Ratio=G.oil    :   P.oil  

             144  :  56

               18  :   7

159. A milkman has 80 liters mixture of milk and water in the ratio of 3:2. If he sold 25 liters of the mixture and replaced it with water, then find the ratio of the milk and water in the resultant mixture?

एक दूधवाले के पास 3:2 के अनुपात में 80 लीटर दूध और पानी का मिश्रण है। यदि उसने 25 लीटर मिश्रण को बेच दिया और उसे पानी से प्रतिस्थापित कर दिया, तो परिणामी मिश्रण में दूध और पानी का अनुपात ज्ञात कीजिये?

A. 3:4
B. 3:5
C. 2:5
D. 3:7
E. None of these

Option “E” is correct.

Milk in 80 liters = 3/5 * 80 = 48

Water in 80 liters = 2/5 * 80 = 32

Milk in 25 liters = 3/5 * 25 = 15

Water in 25 liters = 2/5 * 25 = 10

Required ratio = (48 – 15):(32 – 10 + 25)

= 33:47

160. A vessel contains 196 liters of a mixture of milk and water in the ratio of 5:2. If 28.57% of the mixture is taken out and replaced with the same quantity of milk, then find the ratio of the quantity of milk to water left in the vessel?

एक बर्तन में 196 लीटर दूध और पानी का मिश्रण 5:2 के अनुपात में है। यदि मिश्रण का 28.57% भाग निकाल लिया जाता है और उसके स्थान पर उतनी ही मात्रा में दूध डाला जाता है, तो बर्तन में बचे दूध से पानी की मात्रा का अनुपात ज्ञात कीजिए?

A. 9:7
B. 17:8
C. 39:10
D. 11:9
E. None of these

Option “C” is correct.

The initial quantity of milk in the vessel = 196 * 5/(5 + 2) = 196 * 5/7 = 140 liters

The initial quantity of water in the vessel = 196 – 140 = 56 liters

The quantity of the mixture is taken from the vessel = 196 * 28.57/100 = 196 * 2/7 = 56 liters

The ratio of the quantity of milk to water left in the vessel = (140 – 56 * 5/7 + 56) : (56 – 56 * 2/7)

= (140 – 40 + 56) : (56 – 16)

= 156:40

= 39:10

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