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