Real Numbers



Question


Question 1 :

A number when divided by 61 gives 27 as quotient and 32 as remainder, then the number is:


1. 1569
2. 1679
3. 1796
4. 1967
Answer
14601

Question 2 :

Every positive even integer is of the form ____ for some integer ‘q’.


1. 2q – 1
2. 2q + 1
3. 2q
4. none of these
Answer
14602

Question 3 :

Every positive odd integer is of the form ________ where ‘q’ is some integer.


1. 5q + 1
2. 2q + 1
3. 3q + 1
4. 2q + 2
Answer
14603

Question 4 :

For any two positive integers a and b,  such that a > b. there exist (unique) whole numbers q and r such that


1. q=ar+b,0 ? r < b
2. a = qbr
3. b=aq+r, 0 ? r < b
4. a;=;bq;+;r, 0 ? r < b.
Answer
14604

Question 5 :

For any positive integer ‘a’ and 3, there exist unique integers ‘q’ and ‘r’ such that a = 3q + r where ‘r’ must satisfy


1. 1 < r < 3
2. 0 < r < 3
3. 0 < r?3
4. 0 ? r;<;3
Answer
14605

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