Quantitative Aptitude - Arithmetic Ability Questions

The average age of eight teachers in a school is 40 years. A teacher among them died at the age of 55 years whereas another teacher whose age was 39 years joins them. The average age of the teachers in the school now is (in years)

If the age of Rahul is 5 years more than his friend Ajay's age and the age of Rahul's wife is 6 years less than Rahul, and Ajay's wife is 1 year older than Rahul's wife, then which of the following statements is true?

Divide 32 into two parts such that the sum of the square of the parts is 674. What is the value of the parts?

Roshan's current age is three years less than 1.5 times that of Usha's. 12 years ago Usha's age was three years more than half of Roshan's age. What is Roshan's present age in

The value of (2+32-3-342) is

The mean of 14 observations is 11. One more observation is included and the new mean becomes 12. The 15th observation is

A sum fetched a total simple interest of Rs. 7728 at the rate of 7% per year in 8 years. What is the sum?

If SinX-CosX=1, where 'X' is an acute angle, the value of SinX+CosX is