Quantitative Aptitude - Arithmetic Ability Questions

If cot 60° + cosec 60° = x, then the value of x is

The distance between the points (7,7) and (k,-5) is 13. Find k?

If x=aCosθCosΦ, y = aCosθSinΦ and z= aSinθ, then the value of x2+ y2 + z2 is

The mean of marks secured by 60 students in division A of class X is 66, 45 students of division B is 62 and that of 75 students of division C is 60. Find the mean of marks of the students of three divisions of Class X.

Mohan earns a profit of 20% on selling a jean at 15% discount on printed price. The ratio of the cost price to printed price of the jean is

The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is

In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ∠AQR and ∠BRQ intersect at point O. If ∠QOR = 50°, then what is the value (in degrees) of ∠QPR?

The sum of three consecutive natural numbers each divisible by 5, is 225. The largest among them is