SSC CPO 05 June 2016 Morning Shift

A group of workers can complete a piece of work in 50 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one more person joins them and this process continues till the work is completed. How many approximate days are needed to complete the work ?

Find out the wrong number in the series
190 166 145 128 112 100 91

ABCD is a square. Draw an equilateral triangle PBC on side BC considering BC is a base and an equilateral triangle QAC on digonal AC considering AC is a base. Find the value of $$\ \frac{Area \ of \ \triangle PBC}{Area \ of \ \triangle QAC}$$

What will be the value of $$\ x^{3} \ + y^{3}+ \ z^{3}$$- 3xyz when x + y + z = 9 and $$\ x^{2} \ + y^{2} \ + z^{2}$$ =31 ?

A trader purchased a gift box for Rs. 150. What should be the marked price on the gift box so that after allowing a discount of 10%, he makes a profit of 10% ?

A vegetable seller sells his vegetables at 20% profit. At the same time he uses false weights, which is 10% less than the actual weight. What will be his total gain percentage ?

How many hemispherical balls can be made from a cylinder 56 cm high and 12 cm diameter, when every ball being 0.75 cm in radius ?

The population of a town is 9000. It the number of females increases by 5% and the males by 7.5%, what will be the total population after increase. The number of females currently is 3000.

What is the digit in the unit's place in the number $$\frac{151}{100}$$

The cliff of a mountain is 180 m high and the angles of depression of two ships on the either side of cliff are $$30^{0}$$ and $$60^{0}$$. What is the distance between the two ships ?