Quantitative Aptitude - Arithmetic Ability Questions

If θ>0, be an acute angle, then the value of it in degrees satisfying cos2θ-3cosθ+2sin2θ=1 is

Iftan 450=cot∅, then the value of ∅, in radians is 

Point P (8 , 5) is the midpoint of segment AB. Co-ordinates of A are (5, y) and B are (x, -3). What is the value of x?

A train 110 metres long is running with a speed of 60 kmph . In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?

If the selling price of an article is doubled, then its loss percentage gets converted into the equal profit percentage. What is the loss percentage?

Cost price of an article is Rs 360. If the profit percentage is 32%, then what is the value (in Rs) of profit?

Krish is 5 years younger than Parthiv. Eight years ago three times the age of Krish was 10 more than twice the age of Parthiv. Find Krish's present age?

In ∆ ABC, the height CD intersects AB at D. The midpoints of AB and BC are P and Q respectively. If AD = 8 cm and CD = 6 cm, then the length of PQ is?