Quite a lot of interesting DS questions appear from Number Properties and Number Theory. Here is one such question.When a positive integer 'x' is divided by a divisor 'd', the remainder is 24. What is d?1. When 2x is divided by d, the remainder is 23.2. When 3x is divided by d, the remainder is 22.Correct AnswerChoice A. Statement 1 alone is sufficient; statement 2 is not … [Read more...] about Number Properties DS – Remainders, divisors

# GMAT Number Properties

## Number Properties – Product of factors

What is the product of all positive factors of 18? A. 324 B. 5832 C. 39 D. 1521 E. 3042 The correct answer is 5832. Choice B. Let us first focus on how to find the answer methodically and then understand why the method works. The How? Step 1: Find the number of factors for 18. Step 1a. Express 18 as a product of its prime factors. 18 = 2 * 3^2 Step 1b. Increment the … [Read more...] about Number Properties – Product of factors

## Descriptive Statistics – Mean and Median; Divisibility

How many numbers of 7 consecutive positive integers are divisible by 6?1) Their average is divisible by 62) Their median is divisible by 12 … [Read more...] about Descriptive Statistics – Mean and Median; Divisibility

## Number Properties – divisibility and remainders

When a positive integer A is divided by 5 and 7, the remainders obtained are 3 and 4, respectively. When the positive integer B is divided by 5 and 7, the remainders obtained are 3 and 4, respectively. Which of the following is a factor of (A - B)? (A) 12 (B) 24 (C) 35 (D) 16 (E) 30 Correct Answer : Choice C Explanatory Answer When A is divided by 5, the remainder is 3. So, … [Read more...] about Number Properties – divisibility and remainders

## Number properties – Factorial

How many trailing zeroes does 60! have?(A) 12(B) 9(C) 15(D) 14(E) 13 … [Read more...] about Number properties – Factorial