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
GMAT Arithmetic Theory & Practice Questions
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
Permutation of Digits & Divisibility
This is an interesting counting methods question that combines a very basic rule of test of divisibility of number by 3. Question How many six digit positive integers comprising only the digits 1 and 2 can be formed such that the number is divisible by 3? 3 20 22 38 360 Correct Answer Choice C. 22 such numbers can be formed. Video Explanation Explanatory … [Read more...] about Permutation of Digits & Divisibility
Descriptive statistics – Standard Deviation
If m is the arithmetic mean (average) of 4 integers a, b, c, and d and s is the standard deviation of the 4 integers and s = , then is s > 0?(1) m > a(2) a + b + c + d = 0Solution:s will be zero only in two instances: (i) when all the elements in the set are the same, or (ii) the set contains only one element, which in this case is not possible. So, we need to check whether a, … [Read more...] about Descriptive statistics – Standard Deviation
Descriptive Statistics, Prime Numbers, Progression
This GMAT practice question tests your understanding of 3 topics. The core topic tested is Descriptive Statistics. Basic understanding of Prime Numbers and Progressions is needed to solve this question. Question The ages of three friends are prime numbers. The sum of the ages is less than 51. If the ages are in Arithmetic Progression (AP) and if at least one of the ages is … [Read more...] about Descriptive Statistics, Prime Numbers, Progression