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Question

Each of the questions given below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question or not. Read both the statements and answer the question.

How many students are there in class 10 in the school X?

I. The class teacher of class 10 correctly remembers that the number of students in her class is more than 21 but less than 32. The number of students in the class is exactly divisible by 6.

II. The principal of the school correctly remembers that the difference between the students in class 10 and class 7 is less than nine. There are 33 students in class 7.

A If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question. Correct Answer Incorrect Answer
B If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question. Correct Answer Incorrect Answer
C If the data either in statement I alone or in statement II alone are sufficient to answer the question Correct Answer Incorrect Answer
D If the data in both statement I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer
E If the data in both statement I and II together are necessary to answer the question Correct Answer Incorrect Answer

Solution

  In this question, we have to analyse both the statements I. As per this statement only two numbers are there between 21 and 32 which are divisible by 6 that is 24 and 30 but we cannot conclude the number of students in the class. II. From this statement, we cannot conclude that how many students are there in the class 10 as the difference between class 7 and class 10 is less than nine, so difference between both the classes can be any number between 1 to 8. After getting eliminated both the options individually, we will combine both the statements After combining both the statements, we can conclude that difference between class 7 students and class 10 students is less than 9 and that number must be divisible by 6, so there will be only one number that is 30 So, answer is 30

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