Quantitative Aptitude Quiz For IBPS PO/Clerk Prelims
Q1. A milk seller has milk of Rs 100 per litre, in what ratio should water be mixed in that milk so that after selling the mixture at Rs 80 per litre, he gets a profit of 50%?
Q2. A person has Rs 8400. He lent a part of it at 4% and the remaining at 10/3% at simple interest. His total annual interest was Rs 294. Find the sum he lent at 4%
Q3. 600 g of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?
Q4. Gita buys a plot of land for Rs 36000. She sells 2/5th of it at a loss of 6%. She wants to make a profit of 10% on the whole transaction by selling the remaining land. The gain % on the remaining land is
Q5. How many kg of sugar worth Rs. 25 per kg must be blended with 30 kg of sugar worth Rs. 30 per kg so that by selling the blended variety at Rs. 30 per kg there should be gain of 10%?
Q6. A mixture contains milk and water in the ratio 5 : 1. On adding 5 liters of water, the ratio of milk and water becomes 5 : 2. The quantity of milk in the original mixture is?
Q7. A vessel contains 1 litre mixture of kerosine and disel and the other vessel contains 2 litre mixture of the same. The ratio of kerosine and disel in first and second vessels is 5 : 4 and 7 : 2 respectively. The mixture of second vessel is poured back to first vessel. Find the ratio of kerosine and disel in the first vessel.
Q8. A chemist has 10 litre of a solution that is 10% sulphuric acid by volume. He wants to dilute the solution to 4% strength by adding water how many litre of water must be added?
Q9. Rishabh bought 25 kg of wheat at the rate of Rs. 6 per kg and 35 kg of wheat at the rate of Rs. 7 per kg. He mixed both type of wheat and sold the mixture at the rate of Rs. 6.75 per kg. What was his gain or loss in the transaction?
= 6.75 × 60 – (25 × 6 + 35 × 7)
= Rs. 10, gain
Q10. An alloy contains silver and lead in the ratio 5 : 8 and another alloy contains silver and lead in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of silver and lead in the resulting alloy is
Q11. A container was full of champagne. A person used to draw out 20% of the champagne from the container and replaced it with sugar solution. He has repeated the same process 3 more times and thus there was only 512 gm of champagne left in the container, the rest part of the container was filled with the sugar solution. The initial amount of the champagne in the jar was:
Q12. The ratio of milk to water in three containers of equal capacity is 3 : 2, 7 : 3 and 11 : 4 respectively the three containers are mixed together. What is the ratio of water to milk in final mixture.
Q13. The ratio of the quantities of an acid and water in a mixture is 1 : 3. If 5 litres of acid is further added to the mixture, the new ratio becomes 1 : 2, the quantity of new mixture in litre is:
(x + 5): 3x = 1: 2
3x × 1 = (x + 5) 2 ⇒ x = 10
The quantity of new mixture = x + 3x + 5 = 4x + 5 = 40 + 5 = 45 litre
Q14. A dairyman pays Rs. 6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customer is:
Q15. 4 L are drawn from a container full of milk and then is filled with water. This operation is performed three more times. The ratio of the quantity of milk left in the container and that of water is 16 : 65. How much milk did the container hold initially?