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. No such triangle exist
2. one such pair exist
3. Infinitely many such triangles exist
4. There are finite such triangles
5. none of these
Infinitely many such triangles exist
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. 30
2. 26
3. 13
4. None of these
26
1. 3/5
2. 2/3
3. 1/3
4. 3/4
5. none of these
1/3
1. 1: 2 : 3
2. 1 : 1 : 3
3. 1 : 3 : 6
4. None of these
1 : 3 : 6
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