1)1, 8, 9, 64, 25 (Hint: Every successive terms are related)
Answer: 216
Explanation: 1^2, 2^3, 3^2, 4^3, 5^2, 6^3
2) 71, 76, 69, 74, 67, 72
Answer: 67
3)1, 2, 4, 10, 16, 40, 64 (Successive terms are related)
Answer: 200
Explanation: The series is powers of 2 (2^0,2^1,..).
4) 8, 24, 12, 36, 18, 54
Answer: 27
5) 6, 24, 60,120, 210
a) 336 b) 366 c) 330 d) 660
Answer: a) 336
Explanation: The series is 1.2.3, 2.3.4, 3.4.5, 4.5.6, 5.6.7, ..... ( '.' means product)
6) 5, 9, 16, 29, 54
Answer: 103
Explanation: 5*2-1=9; 9*2-2=16; 16*2-3=29; 29*2-4=54; 54*2-5=103
7) 1, 5, 13, 25
Answer: 41
Explanation: The series is of the form 0^2+1^2, 1^2+2^2,...
8) 0, 5, 8, 17
Answer: 24
Explanation: 1^2-1, 2^2+1, 3^2-1, 4^2+1, 5^2-1
All digits are less than 8. Every second number is in octal number system.
128 should follow 64. 128 base 10 = 200 base 8.
9) 2, 5, 10, 17, 26, 37, 50, 64
Answer: 64
Explanation: 2+3=5; 5+5=10; 10+7=17; 17+9=26; 26+11=37; 37+13=50; 50+15=65;
10) 105, 85, 60, 30, 0, -45, -90
Answer: 0
Explanation: 105-20=85; 85-25=60; 60-30=30; 30-35=-5; -5-40=-45; -45-45=-90;
11) 3, 5, 7, 12, 13, 17, 19
Answer: 12
Explanation: All but 12 are odd numbers.
Submitted by subbaiah
