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Sum of Digits of an Expression

CMAT 2023 · Quantitative Techniques & Data Interpretation · Easy · Number System

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Let S(n)S(n) represents the sum of digits of a natural number nn. For example, S(128)=1+2+8=11S(128) = 1 + 2 + 8 = 11. What is the value of S(26×34×55)S(2^6 \times 3^4 \times 5^5)?

  1. A.

    9

  2. B.

    11

  3. C.

    14

  4. D.

    10

Answer

A

Explanation

Calculate the value of the number: 26×34×55=(25×55)×21×34=105×2×81=162×105=162000002^6 \times 3^4 \times 5^5 = (2^5 \times 5^5) \times 2^1 \times 3^4 = 10^5 \times 2 \times 81 = 162 \times 10^5 = 16200000

Sum of digits S(16200000)=1+6+2+0+0+0+0+0=9S(16200000) = 1 + 6 + 2 + 0 + 0 + 0 + 0 + 0 = 9.

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