Aptitude and Reasoning Questions

The sum of two positive integers is 34 and their difference is 8. Find their product.

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

Statement I: All threads are strings

Statement II: All fibres are threads

Conclusion I: All strings are fibres

Conclusion II: All fibres are strings

The HR department of an MNC prepared a report. The pie chart from this report represents all the employees of the MNC and the languages that they speak. Study the diagram and answer the following questions.

What is the language the most number of employees speak?

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 shown in the given two matrices. 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 from these matrices can be represented first by its row and next by its column, for example 'B' can be represented by 34, 42 etc and 'W' can be represented by 97, 89 etc. Similarly, you have to identify the set for the word 'DAMP'.

A piece of paper is folded and cut as shown below in the question figures. From the given answer figures, indicate how it will appear when opened. 

Consider the given statements as true and decide which of the given conclusions can definitely be drawn from the given statements.

Statements :
Some kings are queens. All queens are beautiful.

Conclusions :
1. All kings are beautiful.
2. All queens are kings.

If sin x + cos x = √2 sin x, then the value of tan x is

If √5 = 2.236, then √5/2 is