Quantitative Aptitude - Arithmetic Ability Questions

The line passing through the point (5,a) and point (4,3) is perpendicular to the line x - 6y = 8. What is the value of 'a'?

If x = a + 1a, y = a - 1a ,(a>0), then the value of x4+y4-2x2y2 is

The price of a Television is Rs.14000 inclusive of VAT. If the rate of VAT is 12%, find the basic price of the Television.

ΔPQR is right angled at Q. If cotP = 5/12, then what is the value of tanR ?

To cover a certain distance with a speed of 60 km/hr, a train takes 15 hours. If it covers the same distance in 12 hours, what will be its speed?

In a mixture, water and milk are in the ratio of 3 : 5. In the second mixture, the ratio of water and milk is 9 : 11. If these two mixtures be mixed to form anew mixture in which water and milk are in ratio 5 : 7, then what is the ratio of these two mixtures in the new mixture?

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.

Of the 3 numbers whose average is 40, the first is 1/3 rd the sum of other 2. What is the first number?