Quantitative Aptitude - Arithmetic Ability Questions

1/(secA + tanA) is equal to

If x2 + (1/x2) = 31/9 and x > 0, then what is the value of x3 + (1/x3)?

What approximate value should come at the place of question mark (?) in the following questions (You are not expected to calculate the exact value).

(111.93 × 5) ÷ 14.02 = 11.002 + ?

The average age of a class of 6 girls is x years. Four new girls having ages x – 2, x + 2, x + 4 and x + 6 joins the class. What is the new average age (in years) of the class?

A milk merchant buys 50 litres of milk at the rate of Rs 40 per litre and mixes 5 litres of water in it. If he sells this mixture at the rate of Rs 42 per litre, then what is the profit percentage for the dealer?

The sum of money that will yield Rs. 60 as simple interest at 6% per annum in 5 years is

A can paint a house in 55 days and B can do it in 66 days. Along with C, they did the job in 12 days only. Then, C alone can do the job in how many days?

Point A divides segment BC in the ratio 1:3. Co-ordinates of B are (4,-4) and C are (0,6). What are the co-ordinates of point A?