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CAT 2019 Number System — Previous Year Question

Year

CAT 2019

Section

Quantitative

Topic

Number System

Difficulty

Medium

Question

Slot-1

We have two unknown positive integers mm and nn, whose product is less than 100100.

There are two additional statement of facts available:

1)1) mnmn is divisible by six consecutive integers {j,j+1,,j+5}\{j,\, j+1,\,\ldots,\, j+5\}

2)2) m+nm+n is a perfect square.

Which of the two statements above, alone or in combination shall be sufficient to determine the numbers mm and nn?

Each statement alone is sufficient to answer the question.

Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient.

Statement 22 alone is sufficient, but statement 11 alone is not sufficient to answer the question.

Statements 11 and 22 together are not sufficient, and additional data is needed to answer the question.

Statement 11 alone is sufficient, but statement 22 alone is not sufficient to answer the question.

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