Quantitative Aptitude - Arithmetic Ability Questions

If x+1x=5,then the value of x1+x+x2 is

A certain sum when invested at 5% interest compounded annually for 3 years yields an interest of Rs.2522. Find the Principal?

The point Q(a,b) is first reflected in y­-axis to Q1 and Q1 is reflected in x­axis to (­-5,3). The co­ordinates of point Q are

In a week, how many times are the hands of a clock at right angles with each other?

The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?

In the following question, select the odd word pair from the given alternatives.

A boat is sailing towards a lighthouse of height 20√3 m at a certain speed. The angle of elevation of the top of the lighthouse changes from 30° to 60° in 10 seconds. What is the time taken (in seconds) by the boat to reach the lighthouse from its initial position?

Both A and B together can complete a work in 20 days and B alone can complete the same work in 36 days. In how many days will A alone complete the work?