Q152
ArithmeticNumber System, LCM/HCF & Divisibility
What is the digit in the unit place of $(232)^{33}$?
- a.6
- b.4
- c.2
- d.8
Answer: (C) 2
The unit digit of powers of 232 depends on the unit digit of 2: $2^1=2, 2^2=4, 2^3=8, 2^4=16$ (unit 6), then cycle repeats every 4. $33 \div 4$ remainder 1 → unit digit same as $2^1 = 2$.