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The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Find the number of terms divisible by 4 or 6 between two numbers A and B. Statement I: Number of terms divisible by 4 and 6 are 49 and 33 respectively. Statement II: A = 100 and B = 300. Statement III: Number of terms divisible by 12 are 16.

The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Find the number of terms divisible by 4 or 6 between two numbers A and B. Statement I: Number of terms divisible by 4 and 6 are 49 and 33 respectively. Statement II: A = 100 and B = 300. Statement III: Number of terms divisible by 12 are 16. Correct Answer Either Statement I and III together or Statement II alone is sufficient to answer the question.

LCM of 4 and 6 is 12 so the terms which are divisible by 4 and 6 both will also be divisible by 12;

∴ Number of terms divisible by 4 or 6 = (No. of terms divisible by 4) + (No. of terms divisible by 6) – (No. of terms divisible by 12)

∴ Statement I and III will provide these values.

And

From statement II: We have the values of A and B, so we can find out the no. of terms divisible by 4, 6 and 12.

∴ Statement II will alone also give the answer.

∴ Either Statement I and III together or Statement II alone will be sufficient to answer the question.

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