Quantitative Aptitude - Arithmetic Ability Questions

If a+1a2=3,then the value of a2+1a2 will be

What is the value of (sin60° + 2/√3) ?

While selling a watch, a shop-­keeper gives a discount of 5%. If he gives a discount of 7%, he earns Rs.15 less as profit. The marked price of the watch is

If 2x-12x = 5, then what is the value x2 + 116x2 - 2

In the given figure, a circle touches the sides of the quadrilateral PQRS. The radius of the circle is 9 cm. RSP = SRQ = 60 deg and PQR = QPS = 120 deg. What is the perimeter (in cm) of the quadrilateral?

Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

Quantity I: 3 years ago the ratio of age of A and B is 3: 4 after 2 years the sum of their ages is 45. Then find the present age of A? 

Quantity II: 5 years ago, the ratio of age of p and Q id 3: 4 P’s age after 6 years is equal to the present age of Q. the find the present age of P?

When 0.151515.....is converted into a fraction, then the result is

Sachin lent out Rs 60000 in two parts, first at 4% and the second at 10% interest. The yearly average interest comes out to be 6.4%. What are the amounts (in Rs) that were lent at 4% and 10% respectively?