Quantitative Aptitude - Arithmetic Ability Questions

P and Q together can make a door in 12 days. They started the work together but after 8 days P left the work. The remaining work is completed by Q alone in 7 more days. In how many days can P alone complete the entire work?

$$\begin{gathered} If (x – 2)2 + (y + 3)2 + (z – 15)2 = 0, then what is the value of \\ x + y + z – 5? \end{gathered}$$

An angle is four times its complementary angle. What is the measure of the angle?

A, B and C can finish a job working alone in 72, 24 and 36 days respectively. In how many days they can finish the job if they worked together?

A defective piece of article which costs Rs. 1200 is being sold at a loss of 15%. If the price is further reduced by 5%, find the S.P?

The sum of digits of a two-digit number is 9. When the digits are reversed, the number decreases by 45. Find the changed number.

The difference between Peter and Preeti's ages is 5 years. When they married each other 35 years ago, 4 times Peter's age was the same as 5 times the age of Preeti. What is the current sum of their ages?

Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area (in sq.cm) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?