Quantitative Aptitude - Arithmetic Ability Questions

Given that tan(θ + 15°) = √3. Then the value of θ is?

The sum of three numbers is 67. If the ratio of the first number to the second number is 3 : 5 and that of the second number to the third number is 4 : 7, then what is the second number ?

A and B together do a job in 15 days and A alone could do the same job in 20 days. How many days would B take to do half the job if he worked alone?

Both X and Y together can complete a work in 12 days and Y alone can complete the same work in 30 days. In how many days will X alone complete the work?

A sum becomes Rs 10000 in 10 years on simple interest at the rate of 10% per annum. What is the total interest (in Rs) of the 10 years?

Three years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is

A sells vegetables at a profit of 35% and for weighing uses a weight which is 10% less than the article weight. What is total profit percentage?

You are given a question and two statements. Identify which of the statements is/are sufficient to answer the question.

Question:

What is the total age of the sisters 10 years from now?

Statements:

1. Lina is 20 years old now.

2. Lina's sister's age is twice that of the age of Lina.