Aptitude and Reasoning Questions

Select the related word/letters/number from the given alternatives.
841 : 29 :: 289 : ?

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) 28 athletes are facing legal cases due to doping incidents.
(II) The new wave of Olympic doping cases is based on evidences.

Conclusions:
(I) The report of doping is based on the test that happen.
(II) Doping practice is very common these days among athletes.

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

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 from these matrices can be represented first by its row and next by its column, e.g., 'A' can be represented by 02, 65, etc., and 'S' can be represented by 56, 68, etc.

Similarly you have to identify the set for the word 'RATE'

Two numbers are in the ratio 4:5 and their HCF is 13. Their LCM is

The sum of digits of a two-digit number is 9. When the digits are reversed, the number decreases by 45. Find the changed number.

Which of the following cube in the answer figure cannot be based on the unfolded cube in the question figure?

When a number is increased by 26, it becomes 113% of itself. What is the number?