(100!) को विभाजित करने वाली (7) की अधिकतम घात क्या है?
What is the highest power of (7) that divides (100!)?
Explanation opens after your attempt
Correct Answer
C. (16)
Concept
The exponent is \( \left\lfloor\frac{100}{7}\right\rfloor+\left\lfloor\frac{100}{49}\right\rfloor=16 \). Always add the contribution of higher powers such as (49).
Why this answer is correct
The correct answer is C. (16). The exponent is \( \left\lfloor\frac{100}{7}\right\rfloor+\left\lfloor\frac{100}{49}\right\rfloor=16 \). Always add the contribution of higher powers such as (49).
Exam Tip
घात \( \left\lfloor\frac{100}{7}\right\rfloor+\left\lfloor\frac{100}{49}\right\rfloor=16 \) है। उच्च घातों जैसे (49) का योगदान जरूर जोड़ें।
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