Aptitude and Reasoning Questions

The square root of 5184 is

A woman starts from her home and walks 2km North, then she turns East and walks 9 km, then she turns South and walks 1 km, then she turns West and walks 2 km, then she turns to her left and walks 1 km toreach the well. Where is her home with respect to the well?

The length of the diameter of the circle is 10 cm and length of the chord drawn in a circle is 6 cm. Find the distance (in cm) of chord from the center.

Two ships are sailing in the sea on the two sides of a light house. The angle of elevation of the top of the light house as observed from the two ships are 30° and 45° respectively. If the light house is 100m high, the distance between the two ships is :(take √3=1.73)

In each of the following questions, a question is followed by information given in three statements. You have to decide the information given in which of the statements
is necessary and sufficient to answer the questions:

A, B, C, D and E are sitting in a circle. Are all of them facing the centre?

I. A is sitting second to the right of D; C is facing the centre and is not an immediate neighbour of D.
II. B, who is sitting between C and D, is second to the right of E, who is not an immediate neighbour of C. B and A are facing each other.
III. D is sitting on the immediate left of B, who is not sitting on the immediate left of A. E is on the immediate right of D.

The simple interest on a sum is 5/9 of the principal for 25 years. What is the rate (in percentage) of interest per annum?

Find the in-radius (in cm) of an equilateral triangle whose sides are 6 cm each.

The line graph shows the record of number of admissions to a certain coaching centre from 2011 to 2016. Study the diagram and answer the following question.

Ignoring year 2016 how many students took admission in the coaching centre since its inception in the year 2011?