Quantitative Aptitude - Arithmetic Ability Questions

The length of the diagonal of a square is 12 cm. Find its area (in cm2).

Consider  the  multiplication  999  ×  abc  =  def132  in  decimal  notation, where  a,  b,  c,  d,  e  and  f  are digits. What are the values of a, b, c, d, e and f respectively?

If the expression px3 – 2x2 – qx + 18 is completely divisible by (x2 – 9), then what is the ratio between p and q respectively?

What is the value of cosec -7π/6?

The average age of 6 members of a family is 20 years. If the age of the servant is included, then the average age increase by 25%. What is the age (in years) of the servant?

P and Q can do a project in 60 and 30 days respectively. In how many days can they complete 90% of the project if they work together?

What is the value of 1xp-q+1+1xq-p+1?

In the following question, select the odd word from the given alternatives.