United India Insurance AO Exam 2013 Question Paper

Instructions

Each question below is followed by two statements A and B. You are to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.

Give answer a: if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.
Give answer b: if the statement B alone is sufficient to answer the question, but the statement A alone is not sufficient.
Give answer c: if both statements A and B together are needed to answer the question.
Give answer d: if either the statement A alone or statement B alone is sufficient to answer the question.
Give answer e: if you cannot get the answer from the statements A and B together, but need even more data.

Question 139

What is the three digit number?
A. The three digit number is divisible by 9.
B. The first and the third digit is 6.

Solution

Statement A : The three digit number is divisible by 9. There are many possibilities.

Statement B : First and last digit of the number is 6. There are still many possibilities = 606,616,626,...

Combining both statements, we get that the number is of the form = $$6 x 6$$

For the number to be divisible by 9, $$6 + x + 6 = (12 + x)$$ should be divisible by 9.

The only possibility is if $$x = 6$$

Three digit number = 666

Thus, both statements are required to answer the question.


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