Aptitude and Reasoning Questions

Which of the following is a Pythagorean triplet?

In the following figure, rectangle represents Actors, circle represents Art critics, triangle represents Photographers and square represents Indians. Which set of letters represents Photographers who are either Actors or Art critics ?

ΔABC is right angled at B. BD is the altitude. AD is 8 cm and DC is 50 cm. What is the length of BD?

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 21,42 etc and '0' can be represented by 95,89 etc. similarly,you have to identify the set for the word ''YUCK''.

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.

Statements:
(I) All flowers are stems.
(II) All stems are roots.

Conclusion:
(I) All roots are flowers.
(II) All stems are flowers.

The surface area (in sq.cm.) of a sphere with radius 1 cm is :(pi = 22/7)

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.

LNP, MOQ, NPR, ?, PRT

Solve : (x + 2y) (2x - y)