Mathematics Quiz-4

1. Two vessels A and B contain spirit and water mixed in the ratio 5: 2 and 7: 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5?

2. If a 1 mm thick paper is folded so that the area is halved at every fold, what is the thickness after 50 folds?

3. Sum of ages of two new boys (13 boys avg 13 → 15 boys avg 15):

4. The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago?

5. A total of 324 coins of 20 paise and 25 paise make a sum of Rs. 71. The number of 25 paise coins is:

6. A person has 1400 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

7. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5.

8. One quality of wheat at Rs. 9.30 per kg is mixed with another quality at a certain rate in the ratio 8: 7. If the mixture so formed be worth Rs. 10 per kg, what is the rate per kg of the second quality of wheat?

9. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

10. Car discount percentage (Rs.600,000 → Rs.570,000):