Quantitative Aptitude - Arithmetic Ability Questions

P and Q can do a project in 12 and 12 days respectively. In how many days can they complete 50% of the project if they work together?

A solid cone of height 24 cm and radius of its base 8 cm is melted to form a solid cylinder of radius 6 cm and height 6 cm. In the whole process what
percent of material is wasted?

A moving train passes a platform 50m long in 14 seconds and a lamp post in 10 seconds. The speed of the train (in km/h) is :

ΔABC is similar to ΔPQR. If ratio of perimeter of ΔABC : perimeter of ΔPQR is 5:9 and if PQ = 45 cm, then the length of AB (in cm) is?

Find out the odd word/letters/number/number pair from the given alternatives.

If 12x = 192- 112, what is the value of x?

The angle of elevation of the top of a tower, vertically erected in the middle of a paddy field, from two points on a horizontal line through the foot of the tower are given to be α and β (α>β). The height of the tower is h unit. A possible distance (in the same unit) between the points is

20 boys do one fourth of work in 25 days. How many more boys will be required to complete the remaining work in 50 days?