Number Properties

Number properties is the most GMAT-specific topic in Quant: odds and evens, primes and factors, remainders, units digits, and positive/negative reasoning. Almost every hard Quant question borrows from this toolbox. The questions here train you to characterize numbers instead of computing them — to see that a product is even because one factor must be, or that a remainder pattern cycles every four powers. Master this topic and both Problem Solving and Data Sufficiency get noticeably easier.

Primes, parity, integers.·Show:20 30 50

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555-605 (Medium)

How many integers n greater than 10 and less than 100 are such that, if the digits of n are reversed, the resulting integer is n+9 ?

505-555 (Easy)

A computer routine was developed to generate two numbers, ( x,y), the first being a random number between 0 and 100 inclusive, and the second being less than or equal to the square root of the first. Each of the following pairs satisfies this routine EXCEPT:

505-555 (Easy)

If a, b, and c are three consecutive odd integers such that 10 < a < b < c < 20 and if b and c are prime numbers, what is the value of a + b?

Sub 505 (Easy)

If x, y, and z are single-digit integers and 100(x) + 1,000(y) + 10(z) = N, what is the units' digit of the number N?

Sub 505 (Easy)

If a sequence of 8 consecutive odd integers with increasing values has 9 as its 7th term, what is the sum of the terms of the sequence?

Sub 505 (Easy)

How many of the integers between 25 and 45 are even?

Sub 505 (Easy)

If x is an even integer, which of the following is an odd integer?

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