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Browse complete papersThe ratio of copper to zinc in an alloy 'A' of 7 kgs is 5 ∶ 2. The ratio of the same metals in that order in another alloy 'B' of 7 kgs is 3 ∶ 4. If 28 kg of alloy is made by mixing A and B in quantities x & y respectively so as to have the ratio of copper and zink in the ratio 1 ∶ 1, then x ∶ y is
1 ∶ 6
2 ∶ 5
3 ∶ 7
1 ∶ 3
Correct answer
1 ∶ 6
A milk vendor generally sells 3 Grades of milk. Grade I is pure milk with no water mixed in it, Grade II is a mixture of milk and water in the ratio 3 ∶ 2 and Grade III is a mixture of milk and water in the ratio 2 ∶ 3. On a particular day he has x liters of Grade I and 3 liters of Grade III milk and he got an order to supply 7 liters of Grade II milk. The minimum value of x (in litres) required to prepare 7 lts of Grade II milk by mixing Grade I milk, Grade III milk and water, is
3
\(\frac{21}{5}\)
2
5
Correct answer
3
A business man buys two qualities A and B of a product at Rs. 120 per kg and Rs. 60 per kg respectively. He then mixes these two qualities and sells at Rs. 100 per kg. Then the percentage increase in the profit on a certain quantity of the mixture of A and B in the ratio 7 ∶ 11 on the profit on the same quantity of the mixture of A and B in the ratio 1 ∶ 1, is
\(\frac{80}{9}\)
\(\frac{80}{7}\)
\(\frac{75}{8}\)
\(\frac{200}{3}\)
Correct answer
\(\frac{80}{9}\)
A jar contains a mixture of 2 liquids A and B in the ratio 4 ∶ 1. If 10 liters of mixture is taken out and 10 liters of liquid B is poured into the jar, the ratio becomes 2 ∶ 3. The amount of liquid A contained in the jar initially is
12 liters
13 liters
14 liters
16 liters
Correct answer
12 liters
The amount of water to be mixed with 32 liters of pure fruit juice so as to get 25% profit on selling the mixture at the cost price of the pure juice, (in liters) is
8
10
16
4
Correct answer
8
A vessel of capacity V liters can be filled by two taps A and B independently in \(\frac{1}{4}\)hr and \(\frac{1}{6}\)hr respectively. A tap C empties the full tank at the rate of 7 liters per min. If all the 3 taps are opened simultaneously, the full vessel is emptied in 120 min. Then V =
45
35
42
40
Correct answer
45
A pipe can fill an empty cistern with water in 5 hours. Due to leakage in its bottom, it takes 6 hours to fill the cistern. When the cistern is full, the time (in hours) in which it is emptied due to leakage is
30
\(\frac{6}{5}\)
\(\frac{1}{30}\)
\(\frac{5}{6}\)
Correct answer
30
Three pipes A, B, C have flow rates of 2 liters, y liters and 3 liters per minute, (2 < y < 3) respectively. The lowest and the highest flow rates of the pipes are decreased by a constant quantity x. If the reciprocals of the flow rates of A, B, C are in arithmetic progression both before and after the change, then x =
2.6
2.2
2.5
2.4
Correct answer
2.6
A swimming pool is fitted with 3 pipes A, B, C to fill the pool. A and B together can fill the pool in half the time that is required for C to fill the pool. B takes 20 hours more than the time required for A and 14 hours more than the time required for C to fill the pool. Then the time (in hours) required for all the 3 pipes together to fill the pool is
7
15
18
12
Correct answer
7
Mohan is thrice as efficient as Srinu and completes a work in 40 hours less than the time taken by Srinu. If both of them work together, the time (in hours) required to complete that work is
20
60
15
25
Correct answer
20