Quantitative Aptitude - Arithmetic Ability Questions

What is the value of (cot30°+ 2/√3) ?

In what ratio is the segment joining the points (2,5) and (­6,­10) divided by the y­axis?

Find the area (in cm²) of a semi-circle of radius 35 cm.

An army lost 10% of its men in war, 10% of the remaining died due to disease and 10% of the rest were declared disabled. Thus the strength of the army was reduced to 7,29,000 active men. The original strength of the army was

If 123 x 356 = 43788, then 1.23 x 0.356 = ?

The value of cos220° + cos270°is

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.

The ratio of present ages of Ranjini and Shahid is 5:4. After 13 years the ratio of their ages will be 6:5. What is Ranjini's present age?