# If f:R→R is defined by f(x)= x - [x] - 1/2 for xR, where [x] is the greatest integer not exceeding x, then {x

1.  Z, the set of all integers

2.  N, the set of all natural numbers

3.  , the empty set

4.  R

4

, the empty set

Explanation :
No Explanation available for this question

# If f : R → R is defined by f(x) = [2x] - 2[x] for x ε R, where [x] is the greatest integer not exceeding x, then the range of f is :

1.  { x ε R : 0 ≤ x ≤ 1}

2.  { 0, 1}

3.  {x ε R : x > 0 }

4.  {x ε R : x ≤ 0 }

4

{ 0, 1}

Explanation :
No Explanation available for this question

# If f:R→R is defined bythen match the list-I with List-II

1.  A-III,B-VI,C-II,D-V

2.  A-III,B-IV,C-II,D-V

3.  A-IV,B-III,C-II,D-I

4.  A-III,B-VI,C-V,D-II

4

A-III,B-VI,C-II,D-V

Explanation :
No Explanation available for this question

1.  7

2.  4

3.  2

4.  1

4

1

Explanation :
No Explanation available for this question

1.  √2 - 3

2.  2 + √2

3.  2 - √2

4.  6 - 2√8

4

2 - &#8730;2

Explanation :
No Explanation available for this question

# For all integers n ≥ 1, which of the following is divisible by 9

1.  8n + 1

2.  4n - 3n - 1

3.  32n + 3n + 1

4.  10n + 1

4

4<sup>n</sup> - 3n - 1

Explanation :
No Explanation available for this question

# Eight different letters of an alphabet are given. Words of four letters from these are formed. The number of such words with at least one letter repeated is :

1.

2.

3.

4.

4

Explanation :
No Explanation available for this question

# The number of natural numbers less than 1000, in which no two digits are repeated, is :

1.  738

2.  792

3.  837

4.  720

4

738

Explanation :
No Explanation available for this question

1.  4-2/3

2.

3.

4.  43/2

4

Explanation :
No Explanation available for this question

1.  0

2.  2

3.  3

4.  5

4