Aptitude and Reasoning Questions

The ratio of total surface area and volume of a sphere is 1 : 7. This sphere is melted to form small spheres of equal size. The radius of each small sphere is 1/6th the radius of the large sphere. What is the sum (in cm2) of curved surface areas of all small spheres?

What is the sum of the first 13 terms of an arithmetic progression if the first term is -10 and last term is 26?

The following is a map showing a route for a cycle race. The route starts and goes 12 km East, then there is a turn towards North where the route goes on for 5 km, then there is a turn towards East where the route goes on for 11 km, then there is a right turn from where the route goes on 5 km to reach the end. What is the position of the end with respect to that start?

The bar graph shows the population of different countries. Study the diagram and answer the following questions.

What is the ratio of population of country A to that of country G?

Ms. Kavitha borrowed Rs. 950 at 6% per annum simple interest. What amount will she pay to clear her debt after 4 years?

Raman remembers that his marriage is before 20th July and after 13th July. His mother remembers that Raman’s marriage is after 16th July. His father remembers that Raman’s marriage is before 19th July. On which date of July is Raman’s marriage?

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement:
(I) Air purifier is the latest innovation of this decade.
(II) Marketers identified the need and grabbed the opportunity of polluted atmosphere and created a new product for people.

Conclusions:
(I) The reason for invention of air purifier is rising levels of pollution.
(II) The need is created in market about the product and then it is established.

In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter these matrix can be represented first by row and next by its column , e. g., ' A ' can be represented by 01 , 13 , etc. ., and ' B ' can be represented by 58 , 69 , etc. . Similarly , you have to identify the set for the word ' FINE '.