Quantitative Aptitude - Arithmetic Ability Questions

The average of 6 consecutive integers is 15/2. What is the average of last three integers?

Triangle ABC as shown in figure has line XY parallel to the BC and the line BY is the bisector of angle XYC. Which of the following option is correct?

The area of the square field is 196 sq.m. Its each side is

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 third proportional to 9 and 45?

What is the Number of candidates who had applied if the ratio of selected to unselected was 14 : 25. If 35 less had applied and 10 less selected, the ratio of selected to unselected would have been 3 : 5?

If P : Q : R = 2 : 3 : 5, then what is the value of (P + Q) : (Q + R) : (R + P)?

There are two buckets, smaller bucket can hold only 3/5th of the water as compared to the larger bucket. If 6,000 buckets of larger capacity are needed to fill a pond. Then how many smaller capacity buckets are needed to fill the same pond?