**Solution :-**

*Answer is option D*

*Explanation:*

*1*1+2 = 3*

*3*2+4 = 10*

*10*3+8 = 38*

*38*4+16 = 168*

* 168*5+32 = 872*

* *

* *

*32.Answer is option D Explanation:*

*1+1 ^{3} = 2*

*2+2 ^{3} = 10*

*10+3 ^{3} = 37*

*37+4 ^{3} = 101*

*101+5 ^{3} = 226*

* *

**33.Answer is option D**

*Answer is option C*

*Explanation:*

*5 x 0.5 + 0.5 = 3*

*3 x 1+ 1 = 4*

*4 x 1.5 + 1.5 = 7.5*

*7.5 x 2 + 2 = 17*

* 17 x 2.5 + 2.5 = 45*

* *

**Answer is option A**

*Explanation:*

*9+11 = 20*

*11+20= 31*

*31+51= 82*

*82+51= 133*

* *

**Answer is option B**

*5 + (1 ^{2}) = 5 + 1 = 6*

*6 + (2 ^{2}) = 6 + 4 = 10*

*10 + (3 ^{2}) = 10 + 9 = 19*

*19 + (4 ^{2}) = 19 + 16 = 35*

*35 + (5 ^{2}) = 35 + 25 = 60*

*60 + (6 ^{2}) = 60 + 36 = 96*

* *

*Answer is option C*

*Explanation:*

*24 + 2 ^{2} = 24 + 4 = 28*

*28 – 3 ^{2} = 28 – 9 = 19*

*19 + 4 ^{2} = 19 + 16 = 35*

*35 – 5 ^{2} = 35 – 25 = 10*

*10 + 6 ^{2} = 10 + 36 = 46*

* *

*Answer is option B*

*Explanation*

*2, 5, 9, 19, 37, ….. *

*The pattern is: every number is arrived at *

*previous number multiplied by 2 and then alternate addition and subtraction by 1 i.e.*

*2*

*5=2×2+1*

*9=5×2-1*

*19=9×2+1*

*37=19×2-1*

*the next term 37×2+1 = 75*

* *

*Answer is option B*

*Explanation:*

*9 = 4×2+1*

*17 = 9×2–1*

*35 = 17×2+1*

*69 = 35×2–1*

*139 = 69×2+1*

* 277 = 139×2–1*

* *

*Answer is option C*

*Explanation:*

*5 × 1+12 =5+1=6*

*6 × 2 + 22 = 12 + 4 = 16*

*16 × 3 + 32 = 48 + 9 = 57*

*57 × 4 + 42 = 228 + 16= 244*

* 244 × 5 + 52 = 1245*