Quantitative Aptitude - Arithmetic Ability Questions

A sum of money of Rs. 1000 is lent out in two parts in such a way that the interest on one part at 10% per annum for 5 years is equal to another at 5% for 10 years. Calculate the sum lent out at 5%.

The ratio of the volume of two cylinders is 7 : 3 and the ratio of their heights is 7 : 9. If the area of the base of the second cylinder is 154 sq. cm, then what will be the radius (in cm) of the first cylinder?

If cos4θ-sin4θ=13 then the value of tan2θ is

A shopkeeper increases the price of an object by 40% and then sells it at 25% discount on the marked price. If the selling price of such an object be Rs. 2100, its cost price for the shopkeeper was ?

If 49 is subtracted from the square of a number, then the result obtained is 576. What is the number?

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'?

What is the value of z2+1z2 when z = 5+26 ?

ΔPQR is right angled at Q. If tanP = 24/7, then what is the value of cosR ?