objective Ques (48 results)
, Avg: 00:46 , 88%✓ SSC CGL Mains 20241)Vessel A contains milk and water in the ratio 4 : 5. Vessel B contains milk and water in the ratio 2 : 1. If x litres mixture of A is mixed with y litres mixture of B, then the ratio of milk to water in the mixture becomes 8 : 5. Find the ratio x : y.
3 : 10
2)A tank is full of 100 litre water from which 10 litre of water is taken out and replaced by oil thereafter 25 litre of mixture is taken out and again replaced by oil. At last 20 litre mixture is taken out and again replaced by the oil, the quantity of water left in the tank is
54 litre
3)From a beaker containing oil, 4 litre of the oil was taken out and replaced with 4 litre of water and the process is repeated one more time after which the ratio of oil to water becomes 100 : 96. How many litres of the oil was initially present in the beaker.
14 litres
4)A 8 litre cylinder contains mixture of oxygen and nitrogen, volume of oxygen being 16% of the total volume. A few litres of the mixture is released & equal amount of nitrogen is added and repeated once again thus the volume of oxygen becomes 9% of the total volume. How many litres of mixtures was released each time?
2
5)The ratio of milk to water in a 100 litres mixture is 2: 3. 10 litres of this mixture is withdrawn and replaced with milk. This process is repeated 2 more times, What is the percentage of milk in final mixture?
56.26%
6)A vessel contained a solution of acid and water, in which water was 64%. Four litres of the solution was taken out of the vessel and the same quantity of water was added. If the resulting solution contains 30% acid, the quantity (in litres) of the water in the solution, at the beginning in the vessel, was:
15.36
7)A vessel contains a mixture of two liquids A and B in the ratio 7:5. 9 litres of mixture are drained off and the vessel is filled with 9 litres of B, this process is repeated one more time, thereafter the ratio of A and B becomes 7:20. How many litres of liquid A was contained in the vessel initially?
15.75
8)A vessel is filled with liquid,3 parts of which are water and 5 parts are syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
one-fifth
9)There are 81 litres pure milk in a container. One-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water is added. What is the ratio of milk to water in the new mixture ?
4 : 5
10)80 litres of a mixture of spirit and water in the ratio 7 : 9 is present in a container A. 20 litres of the mixture is transferred to another container B. Then the container A is filled with 20 litres of water. Then 32 litres of the mixture is again transferred to container B. The ratio of water to spirit of the mixture in container B is equal to:
131: 77
11)In what ratio water and soda should be mixed so as selling the mixture at double the cost price as it would have been without adding water results in the profit of 150%.
3:2
12)In vessels X and Y, the ratios of acid and water are 3: 7 and 1: 3, respectively. The contents of X and Y are mixed in the ratio of 1: 2 to get a solution in which acid and water are in the ratio a: b. What is the value of \(\frac{b+a}{b-a} \)?
15/7
13)A glass contains 500 ml of milk and a cup contains 500 ml of water. From the glass, 150 ml of milk is transferred to the cup and mixed thoroughly. Next, 150 ml of this mixture is transferred from the cup to the glass. Now, the amount of water in the glass and the amount of milk in the cup are in the ratio
1:1
14)Three vessles whose capacities are 3 : 2 : 1 are completely filled with milk mixed with water. The ratio of milk and water in the mixture of vessels are 5 : 2, 4 : 1 and 4 : 1 respectively. Taking 1/3 of first, 1/2 of second and 1/7 of third mixtures, a new mixtures, kept in a new vessel is prepared. The percentage of water in the new mixture is
24%
15)Three containers whose volumes are in the ratio of 2:3:4 are full of mixture of spirit and water. In the 1st container the ratio of spirit and water is 4:1 in 2nd container the ratio is 11:4 and in the 3rd container ratio is 7:3. All the three mixtures are mixed in a big container. The ratio of spirit and water in the resultant mixture is:
11:4
16)Three bottles of the same capacity are 30%, 40% and 25% full of orange juice, respectively. They are filled up completely by adding apple juice. The contents of the three bottles are emptied into another vessel. What is the percentage of apple juice in the mixture?
\(51\frac{2}{3}\)%
17)Rice worth Rs. 96 per kg and Rs. 104 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 113 per kg, the price of the third variety of rice per kg will be:
Rs. 126
18)The liquids X and Y are mixed in the ratio of 3:2 and the mixture is sold at ₹11 per litre at a profit of 10%. If the liquid X costs ₹2 more per litre than Y, the cost of X per litre is (in₹):
₹ 10.8
19)Two blends of a commodity costing ₹ 35 and ₹ 40 per kg respectively are mixed in the ratio 2 : 3 by weight. If one-fifth of the mixture is sold at ₹ 46 per kg and the remaining at the rate ₹ 55 per kg, the profit percent is
40%
, Avg: 00:36 , 100%✓20)A mixture of a certain quantity of milk with 16 litres of water is worth 90 Paise per litre. If pure milk be worth Rs.1.80 per litre. How much milk is there in the mixture?
16 L
21)In what ratio should water and soda be mixed so as the mixture sold at the cost price give profit of 33.33%? [Assume water to be free]
1 : 3
22)A person has a chemical of Rs. 25 per litre. In what ratio should water be mixed with chemical so as selling the mixture at Rs.20 litres he may get profit of 25%.
16:9
23)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 50L water to the mixture, then ratio becomes 2: 5. Find the value of x.
40 L
24)The ratio of milk and water in a vessel is 2:3 by chemical process if we extract some water then ratio becomes 5:7 and quantity of mixture reduced to 36l, then find how much quantity of water was extracted?
1.5 L
25)A beaker contains acid and water in the ratio 1 : x. When 50 ml of water is mixed in 300 ml of the mixture the ratio of acid to water becomes 2 : 5. What is the value of x.
2
26)A solution of 45% alcohol is mixed with a solution of 60% alcohol in the ratio of 2: 3. In what ratio should the resultant solution be mixed with a 72% alcohol solution to get a 66% alcohol solution?
1:2
27)An alloy contains zinc, copper and tin in the ratio 2: 3:1 and an other contains copper, tin and lead in the ratio 5:4:3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in the new alloy will be
1/8 kg
, Avg: 01:20 , 75%✓28)An Alloy contains 80% copper and remaining tin & a another alloy contains 85% Copper and 12% tin. In what ratio should the alloys be mixed to make a new alloy containing 15% tin. Also calculate the percentage of copper in the new alloy
3 : 5 & \(83 \frac{1}{8}\)%
29)A bottle contains milk and water in the ratio of 8 : 3 and another bottle contains milk and water in the ratio 5 : 1. From both the bottles 35 Liters of a big bottle is filled and found that water & milk in the ratio of 1 : 4. How much quantity of the mixture was taken from the first bottle.
11 L
30)A and B are two alloys of gold and copper in the ratio 7:2 and 7:11 respectively. If equal quantities of these two alloys are melted to from a new alloy C, then the ratio of gold and copper in C is
7:5
31)Two vessels A and B contain acid and water mixed in the ratio 2:3 and 4:3. In what ratio must these mixtures be mixed to form a new mixture containing half acid and half water?
7:5
, Avg: 03:07 , 100%✓32)In 2 kg mixture of copper and aluminium, 30% is copper. How much aluminium powder should be added to the mixture so that the quantity of copper becomes 20%?
1000 gms
33)Below is the marks Score by a user of ScoreKhel.com in Mock Exam consisting of 7 papers. The respective Weight of the Papers in the final score is as detailed in the table. From the Data calculate the Average Score of the User in the exam wrt to the paper considering the weight of the papers.
79.70
SSC CGL 202234)A can of water and milk mixture contains 60% milk. A part of this mixture is replaced by another mixture containing 50% milk and the percentage of milk was found to be 52%. The quantity of mixture replaced is:
\(4 \over 5\)
SSC CGL 202235)P and Q are two alloys of aluminum and copper. The ratios of aluminum and copper in P and Q are 5 ∶ 11 and 3 ∶ 5, respectively. If a third alloy is formed by mixing alloys P and Q in the ratio of 1 ∶ 3, then aluminum is what percentage (rounded off to the nearest integer) of the copper in the third alloy?
56 Percent
, Avg: 01:01 , 80%✓ SSC CGL 202236)A container contains 25 litre of milk. From this container, 5 litre of milk is taken out and replaced by water. This process is further repeated two times. How much milk is there in the container now?
12.8 litre
, Avg: 02:09 , 100%✓ SSC CGL 202237)80% and 90% pure acid solutions are mixed to obtain 20 litres of 87% pure acid solution. Find the quantity (in litres) of 80% pure acid solution taken to form the mixture.
6
, Avg: 01:31 , 73%✓ SSC CGL 202238)An alloy contains 40% of silver, 30% of copper, and 30% of nickel. How much silver (in kg) should be added to 25 kg of the alloy so that the new alloy contains 50% of silver?
5
In 25 kg alloy, there is 40% silver, 30% copper, 30% nickel
Thus,
Silver = 40% of 25kg = 10kg, Copper = 30% of 25kg = 7.5kg, nickel = 30% of 25kg = 7.5
Let x kg of silver be added in alloy to make silver 50% in the alloy
\({(10+x)100 \over 25+x} = 50\)
x = 5, hence silver added = 5 kg
SSC Selection Post Matric 202239)A person bought 20 kg of oranges at Rs. 64/kg, 25 kg of oranges at Rs. 56/kg and Rs. 35 kg of oranges at Rs. 50/kg. He mixed the three varieties. If he sells the whole lot at Rs. 63.75/kg, then his profit percentage is: (correct to the nearest integer)
15%
, Avg: 02:00 , 57%✓ SSC Selection Post Matric 202240)A shopkeeper mixes three varieties of tea costing Rs 60 per kg, Rs80 per kg, and Rs120 per kg in the ratio 5 : 8 : 7. At what price (in Rs) per kg should he sell the tea mixture to earn a 25% profit?
111.25
Let the amount of 3 varieties of teas be 5x, 8x, and 7x
Now,
Cost price of mixed quantity of tea = 60 × 5x + 80 × 8x + 120 × 7x
⇒ Rs. 1780x
Selling price of mixed tea = 1780 × 125%
⇒ 2225x
Total quantity of the mixed tea = 5x + 8x + 7x = 20x
So, price/kg = 2225x/20x
⇒ Rs. 111.25
, Avg: 01:33 , 83%✓ SSC CHSL 202141)A solution contains acid and water in the ratio of 4 : 5. If 20% of the solution is replaced by water, then what will be the ratio of acid and water in the new solution?
16 : 29
, Avg: 01:08 , 33%✓ SSC CGL 202042)25 litres of a mixture contains 30%of spirit and rest water. If 5 litres of water be mixed in it, the percentage of spirit in the new mixture is :
25%
Quantity of spirit = \(25\times \frac{30}{100} = 7.5\);
Quantity of water = 25 - 7.5 = 17.5;
After mixed up quantity of mixture = 25 + 5 = 30;
Percentage of spirit = \(\frac{7.5}{30} \times 100 = 25\)%
, Avg: 01:46 , 25%✓ SSC CGL 201943)Alloy A contains copper and zinc in the ratio of 4 : 3 and alloy B contains copper and zinc in the ratio of 5: 2. A and B are taken in the ratio of 5 : 6 and melted to form a new alloy. The percentage of zinc in the new alloy is closest to:
35
, Avg: 01:56 , 66%✓ SSC CGL 201944)40 litres of 60% concentration of acid solution is added to 35 litres of 80% concentration of acid solution. What is the concentration of acid in the new solution?
\(69\frac{1}{3}\)%
, Avg: 01:23 , 100%✓ SSC CGL 201945)How many kg of salt costing ₹28 per kg must be mixed with 6.6 kg of salt costing ₹16 per kg, so that selling the mixture at ₹29.90, there is a gain of 15%?
33
, Avg: 01:35 , 66%✓ SSC CGL 201946)A vessel contains a 32 litre solution of acid and water in which the ratio of acid and water is 5 : 3, If 12 litres of the solution are taken out and \(7\frac{1}{2}\)itres of water are added to it, then what is the ratio of acid and water in the resulting solution?
5 : 6
, Avg: 01:00 , 50%✓ SSC CGL 201947)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?
27 : 43
Quantity of copper in alloy A =\( \frac{3}{3 + 4} = \frac{3}{7};\)
Quantity of zinc in alloy A =\( \frac{4}{3 + 4} = \frac{4}{7};\)
Quantity of copper in alloy B = \(\frac{5}{5 + 9} = \frac{5}{14};\)
Quantity of zinc in alloy B =\( \frac{9}{5 + 9} = \frac{9}{14};\)
A and B are taken in the ratio 2 : 3 and melted to form a new alloy C.
So,
Quantity of copper in alloy C = 2(quantity of copper in alloy A) + 3(quantity of copper in alloy B)
= \(\frac{2 \times 3}{7} + \frac{3 \times 5}{14} = \frac{6}{7} + \frac{15}{14} = \frac{27}{14};\)
Quantity of zinc in alloy C = 2(quantity of zinc in alloy A) + 3(quantity of zinc in alloy B)
= \(\frac{2 \times 4}{7} + \frac{3 \times 9}{14} = \frac{8}{7} + \frac{28}{14} = \frac{43}{14};\)
Ratio of copper to zine in C =\( \frac{27}{14} : \frac{43}{14}\) = 27 : 43
, Avg: 00:42 , 60%✓ SSC CGL 201948)In what ratio, sugar costing Rs.60 per kg be mixed with sugar costing Rs.42 per kg such that by selling the mixture at Rs.56 per kg there is a gain of 12%?
4 : 5
Selling price of mixture = 56;
profit = 12%;
Cost price of the mixture =\( 56 \times \frac{100}{112}\) = Rs. 50;
By allegation method,
