Quantitative Aptitude - Arithmetic Ability Questions

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?

What is the value of cosec -7π/6?

If Sec θ = 25/24 , then what is the value of Sin θ?

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

If 6/7th of 8/5th of a number is 192, then 3/4th of that number is _____.

35 persons are engaged to complete a work in 60 days. After 32 days it is observed that only (2/5)th part of the work has been done. The number of persons to be engaged to complete the remaining work in the said period is

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?

Mr. Rajesh buys a toy for Rs. 27.50 and sells it for Rs. 28.60. Find the gain %.