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

What is the highest power of (3) that divides (25!)?

Explanation opens after your attempt
Correct Answer

C. (10)

Step 1

Concept

The exponent is \( \left\lfloor\frac{25}{3}\right\rfloor+\left\lfloor\frac{25}{9}\right\rfloor=10 \). Adding the contribution of (9) is necessary.

Step 2

Why this answer is correct

The correct answer is C. (10). The exponent is \( \left\lfloor\frac{25}{3}\right\rfloor+\left\lfloor\frac{25}{9}\right\rfloor=10 \). Adding the contribution of (9) is necessary.

Step 3

Exam Tip

घात \( \left\lfloor\frac{25}{3}\right\rfloor+\left\lfloor\frac{25}{9}\right\rfloor=10 \) है। (9) के योगदान को जोड़ना जरूरी है।

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Mathematics Answer, Explanation and Revision Hints

(25!) को विभाजित करने वाली (3) की अधिकतम घात क्या है? / What is the highest power of (3) that divides (25!)?

Correct Answer: C. (10). Explanation: घात \( \left\lfloor\frac{25}{3}\right\rfloor+\left\lfloor\frac{25}{9}\right\rfloor=10 \) है। (9) के योगदान को जोड़ना जरूरी है। / The exponent is \( \left\lfloor\frac{25}{3}\right\rfloor+\left\lfloor\frac{25}{9}\right\rfloor=10 \). Adding the contribution of (9) is necessary.

Which concept should I revise for this Mathematics MCQ?

The exponent is \( \left\lfloor\frac{25}{3}\right\rfloor+\left\lfloor\frac{25}{9}\right\rfloor=10 \). Adding the contribution of (9) is necessary.

What exam hint can help solve this Mathematics question?

घात \( \left\lfloor\frac{25}{3}\right\rfloor+\left\lfloor\frac{25}{9}\right\rfloor=10 \) है। (9) के योगदान को जोड़ना जरूरी है।