(IGP) IAS Pre Paper - 2: GS - Basic Numeracy - Alligation or Mixture (MCQ -10)

1. In what ratio, tea at Rs. 90 per kg should be mixed with another tea at Rs. 120 per kg to get a tea of Rs. 100 per kg
(a) 2 : 1
(b) 3 : 1
(c) 3 : 2
(d) 4 : 3

2. Two varieties of rice at Rs. 10 per kg and Rs. 12 per kg are mixed together in the ratio 1 : 2. Find the average price of the resulting mixture
(a) Rs. 11 per kg
(b) Rs. 11.22 per kg
(c) Rs. 11.33 per kg
(d) Rs. 11.44 per kg

3. On combining two groups of students having 30 and 40 marks respectively in an exam, the resultant group has an average score of 34. Find the ratio of the number of students in the first group to the number of students in the second group
(a) 2 : 1
(b) 3 : 2
(c) 3 : 1
(d) 4 : 3

4. Onmixing two classes of students having average marks 25 and 40 respectively, the overall average obtained is 30marks. Find the number of students in first class if the second class has 30 students
(a) 45
(b) 60
(c) 70
(d) 80

5. 4 kg of rice at Rs. 5 kg is mixed with 8 kg of rice at Rs. 6 per kg. Find the average price of the mixture
(a) Rs. 5 per kg
(b) Rs. 5.55 per kg
(c) Rs. 5.66 per kg
(d) Rs. 6 per kg

6. 5 kg of rice at Rs. 6 per kg ismixed with 4 kg of rice to get amixture costing Rs. 7 per kg. Find the price of costlier rice
(a) Rs. 7.00
(b) Rs. 7.50
(c) Rs. 8.00
(d) Rs. 8.25

7. A sum of Rs. 7.50 is made up of 21 coins which are either 25 paise or 50 paise coins.How many coins are there of 50 paise?
(a) 9
(b) 12
(c) 7
(d) 10

8. In what proportion must water be mixed with spirit to gain 12 2 % by selling it at CP?
(a) 2: 7
(b) 1: 8
(c) 1: 9
(d) 2: 9

9. In what ratio a grocer mix tea at Rs. 22 per kg and? 32 per kg, so that by selling that mixture at Rs. 28 he may gain 12%?
(a) 3 : 5
(b) 7 : 3
(c) 8 : 3
(d) 3 : 11

10. In a zoo, there are some pigeons and some rabbits. If their heads are counted these are 100 and if their legs are counted these are 320. How many pigeons are there?
(a) 66
(b) 60
(c) 40
(d) 45

11. Amixture of 70 L of milk and water contains 10% water. How many liters of water must be added, so that water may be 30% of the mixture?
(a) 35 L
(b) 33 L
(c) 20 L
(d) 25 L

12. A mixture of 150 L of wine and water contains 20% water. How many litres of water must be added so that water may be 25% of the mixture?
(a) 12 L
(b) 8 L
(c) 10 L
(d) 6 L

13. Gold is 20 times heavier than water and copper 9 times. In what ratio should thesemetals bemixed so that the mixture may be 15 times as heavy as water?
(a) 6 : 5
(b) 3 : 2
(c) 5 : 1
(d) 4 : 3

14. A goldsmith has two qualities of gold. One of 14 carats and another of 18 carats purity. In what proportion should he mix both to make an ornament 15 carats purity?
(a) 3: 1
(b) 2; 5
(c) 4: 3
(d) 5: 4

15. A merchant lent out Rs. 6440 in two parts, one at 8% and the other at 12% interest. If the yearly average interest comes out to be 9%. Find the amount lent at 12% interest?
(a) Rs. 1610
(b) Rs. 4830
(c) Rs. 2640
(d) Rs. 3610

16. A trader has 320 kg of tea, a part of which he sells at 18% profit and the rest at 26% profit. He gains 21% on the whole. What is the quantity sold at 18% profit?
(a) 215 kg
(b) 200 kg
(c) 120 kg
(d) 165 kg

17. A trader has 280 L of oil, a part of which he sells at a profit of 18% and the rest at 10% loss. He gains 14% on the whole. What is the quantity sold at 10% loss?
(a) 40 L
(b) 110 L
(c) 240 L
(d) 160 L

18. A trader has 200 kg of rice, a part of which he sells at 18% profit and the rest at 12% loss. On the whole he loses 6%. What is the quantity sold at 12% loss?
(a) 120 kg
(b) 160 kg
(c) 40 kg
(d) 60 kg

19. A person travels 340 km in 8 h. The first part of the journey, he travels by car at the speed of 50 km/h and in the second part of the journey he travels by train at the speed of 38 km/h. How many km did he travel by train?
(a) 120 km
(b) 190 km
(c) 150 km
(d) 210 km

20. A dealermixes tea costing Rs. 50 per kg with a high quality tea and sells themixture at Rs. 54 per kg. If the ratio in which the two quality tea weremixed is 2 : 1, what is the cost of higher quality tea?
(a) Rs. 62 per kg
(b) Rs. 58 per kg
(c) Rs. 66 per kg
(d) Rs. 72 per kg