1. Number of multiples of a given number is (a) 1 (b) 0 (c) infinite (d) none of these 2. When two or more numbers are multiplied, then each number is a ____ of that product. (a) multiple (b) factor (c) dividend (d) none of these 3. When a number is divided by another number, the remainder should be zero. This is called (a) factorisation (b) multiplication (c) divisibility (d) All of these Statement A: All even numbers are divisible by 2. Statement B: Some even numbers are divisible by 3. true (a) Both A and B are true. (b) Both A and B are false. (c) A is true and B is false. (d) A is false and B is true.

Question

EmmaGraceJohnson · Answer

Let's go through each part of the question step-by-step: 
 
 Number of multiples of a given number: 
 
 A multiple of a number is the result of multiplying that number by any integer. For example, multiples of 3 include 3, 6, 9, 12, and so on. 
 Since you can keep multiplying the given number by integers without an upper limit, there are infinitely many multiples of any given number. 
 Therefore, the answer is (c) infinite .

When two or more numbers are multiplied, then each number is a ____ of that product: 
 
 The mathematical term for the numbers that are multiplied together to get a product is 'factor.' Each of these numbers is a factor of the product. 
 For example, in 2 × 3 = 6, both 2 and 3 are factors of 6. 
 Therefore, the answer is (b) factor .

When a number is divided by another number, the remainder should be zero. This is called: 
 
 This situation is known as 'divisibility.' A number is divisible by another if it divides evenly without leaving a remainder. 
 Therefore, the answer is (c) divisibility .

Statement A: "All even numbers are divisible by 2." 
 
 This statement is true because, by definition, even numbers are those that can be divided by 2 without a remainder. 
 
 Statement B: "Some even numbers are divisible by 3." 
 
 This statement is true because while not all even numbers are divisible by 3, some do meet this condition (for example, 6, 12). 
 
 Therefore, the correct evaluation for the statements is (a) Both A and B are true .

Answer (1)

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