You are here: Home » GMAT Test Prep Questions » Number Theory & Number Properties

1. Question 1: If both 11² and 3³ are factors of the number a * 4³ * 6² * 13¹¹, then what is the smallest possible value of a?
   Answer & Explanation »
   
   
2. Question 2: How many different positive integers exist between 10⁶ and 10⁷, the sum of whose digits is equal to 2?
   Answer & Explanation »
   
   
3. Question 3: A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
   Answer & Explanation »
   
   
4. Question 4: How many keystrokes are needed to type numbers from 1 to 1000?
   Answer & Explanation »
   
   
5. Question 5: When 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?
   Answer & Explanation »
   
   
6. Question 6: How many integral divisors does the number 120 have?
   Answer & Explanation »
   
   
7. Question 7: How many trailing zeros will be there after the rightmost non-zero digit in the value of 25!?
   Answer & Explanation »
   
   
8. Question 8: What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33?
   Answer & Explanation »
   
   

Number Theory and Inequalities eBook @ USD 6.99

This eBook covers all the topics in Number Theory and Inequalities related to GMAT. Explanation of topics provide in-depth knowledge of concepts such as LCM, HCF, remainder theorem in number theory and the rules governing inequalities.

The book contains over 50 solved examples and illustrative examples. In addition, the eBook contains 44 exercise questions covering a wide variety of questions from these two topics for you to practise.