One can expect three to five questions from number properties, number system, and number theory in the quant section of the GRE General Test. The concepts are core concepts and you need to get an in depth understanding of these concepts to ace these questions in the GRE quant section. For instance, it is not only sufficient that you know how to find the LCM and HCF of numbers, but you also need to know what is the idea behind finding LCM and in what cases do we find LCM. The following concepts are tested in Number Theory in the GRE test.
N is the smallest positive integer that has 7 factors.
Column A | Column B |
---|---|
Number of factors of √N | Number of factors of (N - 2) |
Step 1: Find the interger N
Step 2: Evaluate Column A. Compute the number of factors of √N
Step 3: Evaluate Column B. Compute the number of factors of (N - 2)
Step 4: Compare values in step 2 and step 3 to find the answer to this GRE quantitative comparison question
How many pairs of natural numbers exist whose HCF is 12 and add up to 216?
Step 1: The two numbers can be written in the form 12x + 12y = 216, where x and y are positive integers and coprime to each other
Step 2: So, x + y = 18. List possible values of x and y that are co prime to each other and add up to 18
Which of the following numbers are factors common to 108, 288, and 396?
Indicate all such numbers.
When a positive integer x is divided by 12, the remainder is 5.
Quantity A | Quantity B |
---|---|
Remainder when 2x is divided by 12. | Remainder when 3x is divided by 12. |
Quantitative Comparison
Quantity A | Quantity B |
---|---|
\\sqrt{\frac{143}{208}}) × \\sqrt{\frac{169}{77}}) | \\sqrt{\frac{459}{306}}) × \\sqrt{\frac{224}{675}}) |
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