यदि \(U={1,2,\ldots,50}\), \(A={x:x\in U,;2\mid x}\), \(B={x:x\in U,;5\mid x}\), तो \(A\setminus B\) में कितने तत्व हैं?

If \(U={1,2,\ldots,50}\), \(A={x:x\in U,;2\mid x}\), \(B={x:x\in U,;5\mid x}\), how many elements are in \(A\setminus B\)?

Explanation opens after your attempt
Correct Answer

A. (20)

Step 1

Concept

There are (25) even numbers in (A), and (5) of them are also divisible by (10). Therefore (25-5=20) elements remain.

Step 2

Why this answer is correct

The correct answer is A. (20). There are (25) even numbers in (A), and (5) of them are also divisible by (10). Therefore (25-5=20) elements remain.

Step 3

Exam Tip

(A) में (25) सम संख्याएँ हैं और (10) से विभाज्य (5) संख्याएँ (B) में भी हैं। इसलिए (25-5=20) तत्व बचते हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U={1,2,\ldots,50}\), \(A={x:x\in U,;2\mid x}\), \(B={x:x\in U,;5\mid x}\), तो \(A\setminus B\) में कितने तत्व हैं? / If \(U={1,2,\ldots,50}\), \(A={x:x\in U,;2\mid x}\), \(B={x:x\in U,;5\mid x}\), how many elements are in \(A\setminus B\)?

Correct Answer: A. (20). Explanation: (A) में (25) सम संख्याएँ हैं और (10) से विभाज्य (5) संख्याएँ (B) में भी हैं। इसलिए (25-5=20) तत्व बचते हैं। / There are (25) even numbers in (A), and (5) of them are also divisible by (10). Therefore (25-5=20) elements remain.

Which concept should I revise for this Mathematics MCQ?

There are (25) even numbers in (A), and (5) of them are also divisible by (10). Therefore (25-5=20) elements remain.

What exam hint can help solve this Mathematics question?

(A) में (25) सम संख्याएँ हैं और (10) से विभाज्य (5) संख्याएँ (B) में भी हैं। इसलिए (25-5=20) तत्व बचते हैं।