1. 6

2. 4

3. 8

4. 12

**2.**A page is torn from a novel. The sum of the remaining digits is 10000. What is the sum of the two page-numbers on the torn page of this novel?

1. 77 and 78

2. 33 and 34

3. 8 and 9

4. 46 and 68

5. None of these

**3.**A 4-digit number of the form aabb is a perfect square. What is the value of a - b?

1. 3

2. 2

3. 4

4. 1

5. None of these

**4.**What are the last two digits of the number 745?

1. 07

2. 23

3. 49

4. 43

5. None of these

**5.**[x] is the greatest integer less than or equal to x. Find the number of positive integers n such that .

1. 31

2. 25

3. 35

4. 40

5. None of these

**6.**Positive numbers 1 to 55, inclusive are placed in 5 groups of 11 numbers each. What is the maximum possible average of the medians of the 5 groups?

1. 34

2. 28

3. 35

4. 38

5. None of these

**7.**N is an 80-digit positive integer (in the decimal scale). All digits except the 44th digit (from the left) are 2. If N is divisible by 13, find the 26th digit?

1. 5

2. 6

3. 1

4. 2

5. None of these

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MAHENDRA GURU