(35!) को विभाजित करने वाली (3) की अधिकतम घात क्या है?

What is the highest power of (3) that divides (35!)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. (15)

Explanation

Simple Explanation

घात \( \left\lfloor\frac{35}{3}\right\rfloor+\left\lfloor\frac{35}{9}\right\rfloor+\left\lfloor\frac{35}{27}\right\rfloor=15 \) है। उच्च घातों का योगदान जोड़ना न भूलें। / The exponent is \( \left\lfloor\frac{35}{3}\right\rfloor+\left\lfloor\frac{35}{9}\right\rfloor+\left\lfloor\frac{35}{27}\right\rfloor=15 \). Do not forget the contribution of higher powers.

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FAQs

Mathematics Answer, Explanation and Revision Hints

(35!) को विभाजित करने वाली (3) की अधिकतम घात क्या है? / What is the highest power of (3) that divides (35!)?

Correct Answer: B. (15). Explanation: घात \( \left\lfloor\frac{35}{3}\right\rfloor+\left\lfloor\frac{35}{9}\right\rfloor+\left\lfloor\frac{35}{27}\right\rfloor=15 \) है। उच्च घातों का योगदान जोड़ना न भूलें। / The exponent is \( \left\lfloor\frac{35}{3}\right\rfloor+\left\lfloor\frac{35}{9}\right\rfloor+\left\lfloor\frac{35}{27}\right\rfloor=15 \). Do not forget the contribution of higher powers.