Alligations and Mixtures Exercise to Practice for Competitive Exams

Alligations and Mixtures Problems : Alligations and Mixtures Questions

Q.11 Two metals X and Y are to be used for making two different alloys. If the ratio by weight of X: Y in the first alloy is 6: 5 and that in the second is 7: 13, how many kg of X metal must be melted along with 11 kg of the first alloy and 20 kg of the second so as to produce a new alloy containing 40% of metal Y?

(A) 11

(B) 12

(C) 13

(D) 14

To know about Passive Voice Exercise: passive-voice-questions-to-practice-for-competitive-exams

Q.12 Two vessels contain mixtures of juice and water in the ratio of 8 to 3 and 5 to 1 respectively. Is what ratio must liquid be drawn from each vessel to give a mixture in the ratio of 4 to 1?

(A) 24/11

(B) 11/24

(C) 23/12

(D) 12/23

Q.13 How many kg of tea at Rs. 62.5 per kg must be added to 100 kg of tea at Rs. 78 per kg so that a profit of 33.33% is made by selling the mixture at Rs. 94 per kg?

(A) 93.75kg

(B) 85.75kg

(C) 78.75kg

(D) 80kg

Q.14 A pot contains a mixture of milk and water in the ratio of 4: 3 and another pot contains a mixtures of milk and water in the ratio 3: 4. How many seers of the second mixture should be added to 7 seers of the first in order that the milk and water in the resulting mixture be 6: 5?

 (A) 14/9

(B) 9/14

(C) 11/14

(D) 14/11

Q.15 A merchant has 100kg of sugar, part of which he sells at 7% profit and the rest at 17% profit. He gains 10% on the whole. How much is sold at 17%.

(A) 28 kg

(B) 30 kg

(C) 32 kg

(D) 31 kg

Q.16 A man travelled a distance of 80 km in 7 hours partly on foot at the rate of 8 km. per hour and partly on bicycle at 16 km  per hour. Find the distance travelled on foot.

(A) 32 km

(B) 31 km

(C) 28 km

(D) 21 km

Q.17 A merchant borrowed Rs. 2500 from two money lenders. For one load he paid 8% per annum and for the other 6% per annum The total interest paid for 1 year was Rs. 180. How much did he borrow at each rate?

(A) Rs. 1500 and Rs. 1000

(B) Rs. 1800 and Rs. 700

(C) Rs. 1750 and Rs. 750

(D) Rs. 1250 and Rs. 1250

Q.18 A tea merchant buys two kinds of tea, the price of the first kind being twice that of the second. He sells the mixture at Rs. 17.50 per kg, thereby making a profit of 25%. If the ratio of first and second kinds of tea in the mixture be 2: 3, find the cost price of each kind of tea.

(A) Rs. 20 and Rs. 10

(B) Rs. 12 and Rs. 17

(C) Rs. 17 and Rs. 12

(D) Rs. 10 and Rs. 20

Q.19 A cup of milk contains 3 parts pure milk and one part of water. How much of the mixture must be withdrawn and substituted by water in order that the resulting mixture may be half milk and half water.

(A) 1/3

(B) 2/3

(C) 3/5

(D) 1/5

Q,20 A sum of Rs. 18.45 is made up of 90 coins which are either 10 paise coins or 25 paise coins. Find the number of each type of coins.

(A)7: 3

(B) 3: 7

(C) 2: 5

(D) 5: 2