CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Which of the following is true for an integer x?
  1. For any value of  x , x22 is always positive.
  2. If x is odd, (x+1)2 is even
  3. If x is even, (x1)2 is odd
  4. If x is even, (x+1)2 is even


Solution

The correct options are
B If x is odd, (x+1)2 is even
C If x is even, (x1)2 is odd
1. For x = -1, 0 and 1, the value of  x22 is negative, hence the given statement is false.
2.  If x is odd, then x+1 is even  which implies that (x+1)2 is even.
3. If x is even, then x1 is odd which implies that (x1)2 is odd.
4. If x is even, then x+1 is not even. Square of X+1 is not even. So, the given statement is false.
 

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
QuestionImage
QuestionImage
View More...


People also searched for
QuestionImage
English
Q1.
Write the summary of the following passage in about 100 words.
Speaking well can have a definite 'say' on your professional and private life. How well you speak is judged by the quality of your voice apart from other linguistic features. So linguists maintain that the impression you make on others often depends on how you speak, rather than what you speak.
From the quality of your voice and your manner of saying things, people will deduce, a great deal about your personality in general and your feelings in particular at the moment of speaking - whether you are feeling confident or diffident, excited or depressed, hostile or friendly. They will, to some extent, come to know your age and sex (if you are speaking on the telephone) as also your geographical and social background from your accent. They may deduce your physical and psychological condition, as your voice often reveals your poor health condition and stress. Your personality too shows through your voice. If you speak very rapidly, for example, you may give the impression of being less confident. If on the other hand you drawl, you will tend to sound bored. A buoyant voice, full of expressive changes of pitch and pace, suggests a lively mood whereas a 'tired' or 'flat' voice suggests a more reflective, subdued mood or even depression. Halting or hesitant speech often indicates confusion or uncertainty.
No one, however, needs to be a slave to poor speaking habits. These fetters can be broken by constant practice and will help you build your self-confidence. Confidence will help you communicate more effectively. [Advanced]
QuestionImage
View More...



footer-image