Practice Problem on Number System

Practice Problem on Number System

1. How many zeroes will be there in the expansion of the expression 1¹×2²×3³×4⁴……..×100¹ºº?.
1. ¹²⁰⁰  
2. 1300
3. 1400
4. 1500
2. How many 3-digit numbers do not have an even digit or a zero?
1. 100
2. 125
3. 150
4. 175
3. If each of the three nonzero numbers  a, b and  c  is divisible by 3, then  abc  must be divisible by which one of the following the numbers?
1. 27   
2. 36
3. 45
4. 54
4. Find the remainder when 2³¹ is divided by 5?
1. 3
2. 5  
3. 7 
4. 9 
5. What is the remainder left after dividing 1!+2!+3!.....+100! by 7?
1. 5
2. 6
3. 7
4. 8

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