Mini Mock Set - 61 | Maths & Reasoning

1.Sharan and Mayukh, working together, can complete a task in 18 days. However, Mayukh works alone and leaves after completing one-third of the task. Then, Sharan takes over and completes the remaining work by himself. As a result, the duo could complete the task in 40 days. How many days would Sharan alone have taken to do the job if Mayukh had worked faster than Sharan?

a) 40 days
b) 45 days
c) 30 days
d) 25 days
e) None of these

2.The ratio of the present age of Rahul to the present age of Amit is 3:5, respectively. When age of Amit will be double of his present age at that time his son will be 12 years old. If Amit will marry after 6 years and his son will be born after 2 years of marriage then find the present age of Rahul.

a) 21 years
b) 18 years
c) 9 years
d) 12 years
e) 15 years

3.Water and alcohol have been mixed in an empty container in the ratio 11:2, respectively. 78 litres of the mixture has been withdrawn from the container and then 120 litres of another mixture in which the ratio of water to alcohol is 4:1, respectively, is added to the container. If the amount of water and the amount of alcohol becomes 360 liters and 72 litres, respectively then find the amount of water added in the empty container initially.

a) 330 litres
b) 308 litres
c) 374 litres
d) 440 litres
e) 352 litres

4.Dheeraj deposited Rs. ‘p’ and Rs. ‘q’ in scheme A and scheme B respectively. He deposited in scheme A for 4 years at a simple interest of 5% p.a. while in scheme B for 3 years at a simple interest of 8% p.a. The amount invested in scheme A was Rs. 400 more than the amount invested in scheme B. If the interest earned from scheme A was Rs. 48 more the interest earned from scheme B, then find the total amount invested in both schemes.

a) Rs. 2500
b) Rs. 2000
c) Rs. 2400
d) Rs. 3000
e) Rs. 2800

5.Two containers A and B contain mixtures of water and milk. The ratio of amount of water in container A to the amount of water in container B is 13:17, respectively. The ratio of the amount of milk in container A to the amount of milk in container B is 52: 49, respectively. Find the ratio of the amount of mixture in container A to the amount of mixture in container B.

Statement l: The ratio of the amount of water to the amount of milk in container A is 7:16, respectively.

Statement Il: The difference between the amount of milk in container A and in container B is 60 liters.

a) The data in statement I alone are sufficient to answer the question, while the data in statement Il alone are not sufficient to answer the question
b) The data in statement Il alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
c) The data either in statement I alone or in statement Il alone are sufficient to answer the question
d) The data given in both statements I and Il together are not sufficient to answer the question
e) The data in both statements I and Il together are necessary to answer the question.

6.A, B, C and D are four friends. Present average age of A, B, C and D is 29 years. Find the present age of C.

Statement l: Ratio of the present ages of A and C is 4:9. Ratio of the present ages of B and D is 5:3. The difference in the ages of A and B is 8 years.

Statement Il: Ratio of the age of C four years ago to the present age of D is 4:3. A is eight years younger to D. Age of B 8 years hence will be thrice the present age of A.

a) The data in statement I alone are sufficient to answer the question, while the data in statement Il alone are not sufficient to answer the question
b) The data in statement Il alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
c) The data either in statement I alone or in statement Il alone are sufficient to answer the question
d) The data given in both statements I and Il together are not sufficient to answer the question
e) The data in both statements I and Il together are necessary to answer the question.