Unit Digit of Power Expression

CMAT 2026 · Quantitative Techniques & Data Interpretation · Easy · Number System

The digit in the unit's place of the resulting number of the expression 48×(234)100+(234)10148 \times (234)^{100} + (234)^{101} is

  1. A.

    6

  2. B.

    2

  3. C.

    4

  4. D.

    0

Answer

B

Explanation

Unit digit of (234)100(234)^{100} (even power of 4) is 6. Unit digit of (234)101(234)^{101} (odd power of 4) is 4. Unit digit of 48×6+448 \times 6 + 4 is the unit digit of 8×6+4=48+4=528 \times 6 + 4 = 48 + 4 = 52, which is 2.

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