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GRE Practice test with Answers. We covered all the GRE Practice test with Answers in this post for free so that you can practice well for the exam.
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Two milk-water mixtures are blended in a 2 : 3 ratio. The final mixture contains 40% milk. If the second mixture is 60% milk, determine the percentage of milk in the first mixture.
(a) 20
(b) 15
(c) 10
(d) 5
(e) None of these
Option c – 10
A solution containing milk and water has 10% removed and replaced with water. If the new ratio of milk to water becomes 2 : 3, what was the original ratio of milk to water?
(a) 2 : 3
(b) 3 : 2
(c) 4 : 5
(d) 5 : 4
(e) None of these
Option c – 4 : 5
Two equal volumes of milk-water mixtures are present. Half the contents from the first container are transferred to the second, and the same quantity is poured back to the first. This exchange is done three times. What will be the milk-to-water ratio in both containers at the end?
(a) 5/2 : 2/5
(b) 5/4 : 4/5
(c) 14/13 : 13/14
(d) 1/2 : 3/4
(e) None of these
Option c – 14/13 : 13/14
Nirmal wants to mix tea costing Rs. 15/kg and Rs. 20/kg to create a blend worth Rs. 16.50/kg. In what ratio should he mix the two?
(a) 1 : 2
(b) 1 : 2
(c) 1 : 3
(d) 7 : 3
(e) None of these
Option d – 7 : 3
A container holds 80 kg of milk. Each time, 8 kg is removed and replaced with water. This process is repeated twice more. How much milk remains in the container?
(a) 58.34 kg
(b) 56 kg
(c) 54.73 kg
(d) 55.97 kg
(e) None of these
Option a – 58.34 kg
Three liters of grape juice with 2/3 water and 1/3 juice is combined with two liters of another grape juice that has 3/8 water and 5/8 juice. What percentage of the final 5-liter mixture is juice?
(a) 47.5%
(b) 50%
(c) 45%
(d) 52.5%
(e) None of these
Option c – 45%
Roshan Lal adds 3 liters of water to 12 liters of milk. Nathu Ram adds 4 liters of water to 10 liters of milk. What is the ratio of milk content in the two mixtures?
(a) 25/26
(b) 28/25
(c) 3/2
(d) 3/4
(e) None of these
Option b – 28/25
A 50-liter solution of milk and water is mixed in a 3 : 2 ratio. How much water must be added to make the milk and water amounts equal?
(a) 10 liters
(b) 12 liters
(c) 14 liters
(d) 16 liters
(e) None of these
Option a – 10 liters
Vessels A and B have milk and water in the ratios 4 : 5 and 5 : 1 respectively. In what ratio should quantities be taken from A and B to get a mixture with milk and water in the ratio 5 : 4?
(a) 2 : 5
(b) 4 : 3
(c) 5 : 2
(d) 3 : 4
(e) None of these
Option c – 5 : 2
In a 35-liter mixture, the ratio of milk to water is 4 : 1. If 7 liters of water are added, what will be the new ratio of milk to water?
(a) 2 : 1
(b) 3 : 1
(c) 5 : 1
(d) 4 : 1
(e) None of these
Option a – 2 : 1
Rahul prepares a mixture with 3 bottles of soda and 1 bottle of rum. After using some part, he adds 1 bottle of rum. What is the new soda-to-rum ratio?
(a) 9 : 7
(b) 13 : 11
(c) 4 : 3
(d) 5 : 3
(e) None of these
Option a – 9 : 7
Kashmiri Lal invests Rs. 10,600 in two stocks — one at 4% and the other at 3.5%, both at 98 — such that the Income from both is equal. How much did he invest in the 4% stock?
(a) Rs. 5,000
(b) Rs. 6,600
(c) Rs. 6,000
(d) Rs. 5,600
(e) None of these
Option a – Rs. 5,000
A businessman has two alloys made of zinc, copper, and tin. The first contains 25% zinc, and the second contains 50% copper. Tin in the first is double that in the second. He mixes 200 kg of the first with 300 kg of the second to get a new alloy with 28% tin. How much copper is in the new alloy?
(a) 190 kg
(b) 200 kg
(c) 180 kg
(d) 220 kg
(e) None of these
Option a – 190 kg
A bag has notes of Rs. 10, Rs. 20, and Rs. 50 in the ratio 5 : 3 : 2. If the total value of the notes is Rs. 4,200, how many Rs. 20 notes are there?
(a) 100
(b) 60
(c) 40
(d) 25
(e) None of these
Option b – 60
A mixture contains sand and cement in the ratio 6 : 1. After adding 5 kg of cement, the ratio becomes 5 : 1. How much sand was present in the original mixture?
(a) 16
(b) 20
(c) 25
(d) 28
(e) None of these
Option d – 28
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