Mathematics
Statement I: 4 × 5 = 20. So 20 is a multiple of 4 and 5.
Statement II: If a is a factor of c, then c is called a multiple of a.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
Answer
Statement I: Since 4 × 5 = 20, both 4 and 5 are factors of 20, and 20 is a multiple of both 4 and 5.
∴ Statement I is true.
Statement II: This is the correct definition. If a is a factor of c (i.e., a divides c), then c is called a multiple of a.
∴ Statement II is true.
Both statements are true and Statement II correctly explains Statement I.
Hence, option 3 is the correct option.
Related Questions
If HCF of two numbers is 15 and their product is 1575, then their LCM is
15
105
525
1575
If the LCM of two natural numbers is 180, then which of the following is not the HCF of the numbers?
45
60
75
90
Statement I: 5, 7, 11, 13 and 17 are prime numbers.
Statement II: The smallest natural number is 1.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
Statement I: 2, 4, 6 and 9 are composite numbers.
Statement II: A number is said to be a composite number if it has prime factors.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.