यदि \(U={1,2,\ldots,45}\), \(A={x:x\in U,9\mid x}\), तो (A') में (3) से विभाज्य सदस्यों की संख्या क्या है?

If \(U={1,2,\ldots,45}\), \(A={x:x\in U,9\mid x}\), how many elements divisible by (3) are in (A')?

Explanation opens after your attempt
Correct Answer

A. (10)

Step 1

Concept

There are (15) multiples of (3) up to (45). Among them (5) multiples of (9) are in (A), so (15-5=10) remain.

Step 2

Why this answer is correct

The correct answer is A. (10). There are (15) multiples of (3) up to (45). Among them (5) multiples of (9) are in (A), so (15-5=10) remain.

Step 3

Exam Tip

(45) तक (3) के (15) गुणज हैं। इनमें (9) के (5) गुणज (A) में हैं, इसलिए (15-5=10) बचते हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U={1,2,\ldots,45}\), \(A={x:x\in U,9\mid x}\), तो (A') में (3) से विभाज्य सदस्यों की संख्या क्या है? / If \(U={1,2,\ldots,45}\), \(A={x:x\in U,9\mid x}\), how many elements divisible by (3) are in (A')?

Correct Answer: A. (10). Explanation: (45) तक (3) के (15) गुणज हैं। इनमें (9) के (5) गुणज (A) में हैं, इसलिए (15-5=10) बचते हैं। / There are (15) multiples of (3) up to (45). Among them (5) multiples of (9) are in (A), so (15-5=10) remain.

Which concept should I revise for this Mathematics MCQ?

There are (15) multiples of (3) up to (45). Among them (5) multiples of (9) are in (A), so (15-5=10) remain.

What exam hint can help solve this Mathematics question?

(45) तक (3) के (15) गुणज हैं। इनमें (9) के (5) गुणज (A) में हैं, इसलिए (15-5=10) बचते हैं।