1. 3
2. 1
3. 5
4. 21
3
1. 100
2. 105
3. 125
4. 75
100
1. P(n) < P(n − 1)
2. P(n) + P(n − 1) is always a prime
3. P(n) = 5 is not true for any n
4. none of these
P(n) = 5 is not true for any n
1. n and n + 1 are always composite
2. (n−1)!/n2+n is even
3. a) is true if and only if b) is true
4. a) is true if and only if b) is false
5. none of these
a) is true if and only if b) is true
1. 30
2. 60
3. 90
4. a and b
5. a and c
30
1. 13
2. 31
3. 5
4. None of these
31
1. 3/5
2. 2/3
3. 1/3
4. 3/4
5. none of these
1/3
1. 2
2. 4
3. 5
4. 6
5. 7
6
1. 2 hours 24 minutes
2. 4 hours 48 minutes
3. 1 hour 36 minutes
4. 5 hours
4 hours 48 minutes
1. It is always even
2. Divisible by 3.
3. Always divisible by the sum of the square of first n natural numbers
4. Never divisible by 237.
Never divisible by 237.