Number System Questions for XAT 2026 - Download PDF

Number system questions for XAT 2026 consist of divisibility of numbers, mean, median and mode, prime numbers, natural numbers, integers, and mathematical operations based on addition, subtraction, multiplication and division. The number system is an integral part of most competitive exams like management exams, banking exams, SSC CGL, and SSC CHSL.

You are advised to follow the pattern and syllabus of the XAT to excel in the exam. The viva consists of 4 marks, and you must thoroughly prepare the answers to score full marks. 

Number System Questions for XAT Exam - Download PDF

Below is the PDF of the XAT number system questions with the answers, and can be downloaded by clicking on the link:

Top 25+ Number System Questions for XAT Exam

The number system is an integral part of any competitive exam related to management, such as CAT, CMAT, MAT, GMAT,  ATMA, GRE, MICAT  and NMAT, as it determines your understanding of the mathematical procedure pertaining to the numbers. It also facilitates the use of mathematical operations to calculate numbers and evaluate numerical aptitude.

The top 25 questions covering all the subtopics of the number system are listed below with answers:

Q1. Which of the following numbers is not divisible by 2?

1. 1984732
2. 1448157
3. 17334854
4. 13578560

Ans. 144857

Q2. The seven-digit number 43567X is divisible by 3, where X is a single-digit whole number. Find X?

1. 22. 
2. 5
3. 84
4. All of these

Ans. All of these

Q3. What is the difference of mean and median of the given data: 4, 13, 8, 15, 9, 21, 18, 23, 35, 1?

1. 0.7
2. 1.7
3. 1.2
4. 2.1

Ans.  A

Q4. 60% of a number is 200, then what is the number?

1. 280
2. 320 
3. 240
4. 120

Ans. D

Q5. What is the median of the given data? 51, 43, 36, 70, 85, 65, 76, 55, 98, 95

Ans. 65

Also Read: XAT Quantitative Aptitude Syllabus 2024: Exam Pattern, Books

Q6. If A is the smallest three-digit number divisible by both 6 and 7 and B is the largest four-digit number divisible by both 6 and 7, then

What is the value of (B - A)?

1. 9912
2. 9870
3. 9996
4. 9954

Answer: B

Q7. A set of data is as follows: 7, 0, 3, 2, 7, 0, 8, 5, 6, 4, 5, 6, 3, 5, 6, 6, 5, 4, 6, 5, 3, 5, 4, 3, 5. What is the mode of the set?

1. 2
2. 5
3. 6
4. 4

Ans: B

Q8. The median of the first seven prime numbers is:

1. 7
2. 5
3. 13
4. 11

Ans: A

Q9. What is the sum of the digits of the largest six-digit number divisible by 3, 4, 5 and 6?

1. 45
2. 42
3. 39
4. 48

Ans: B

Q10. What is the difference between the mean and median of the given data:

4, 6, 3, 7, 10, 13, 16 and 5?

1. 5
2. 1.5
3. 3
4. 4.5

Ans: B

Q11. What is the difference between the mean and the median of the following data:

5, 7, 8, 13, 12, 14, 9, 2, 26, 10?

1. 2.3
2. 0.4
3. 1.8
4. 1.1

Ans: D

Q12. Let x be the median of data: 33, 42, 28, 49, 32, 37, 52, 57, 35, 41. If 32 is replaced by 36 and 41 by 63, then the median of the data so obtained is y. What is the value of (x + y)?

1. 78
2. 78.5
3. 79.5
4. 79

Ans: B

Q13. The mode of the given data 2, 5, 5, 7, 2, 6, 8, 6, 9, 6 is:

1. 7
2. 6
3. 5
4. 2

Ans: B

Q14. x is the greatest number by which, when 2460, 2633 and 2806 are divided, the remainder in each case is the same. What is the sum of digits of x?

1. 11
2. 10
3. 13
4. 9

Ans: A

Q15. What is the sum of the median and mode of the data

8, 1, 5, 4, 9, 6, 3, 6, 1, 3, 6, 9, 1, 7, 2, 6, 5?

1. 13
2. 11
3. 12
4. 14

Ans: B

Also Check: XAT 2021 Question Paper

Q16. The mode of 2, 2, 3, 3, 5, 5, 5, 7, 8, 8, 9, 10 is:

1. 5
2. 2
3. 3
4. 6

Ans: A

Q17. When 6892, 7105 and 7531 are divided by the greatest number x, then the remainder in each case is y. What is the value of (x - y)?

1. 123
2. 137
3. 147
4. 113

Ans: B

Q18. The sum of the perfect square between 120 and 300 is:

1. 1400
2. 1024
3. 1296
4. 1204

Ans: A

Q19. The difference between the greatest and the least four-digit numbers that begin with 3 and end with 5 is:

1. 990
2. 900
3. 909
4. 999

Ans: A

Also Read: How to Prepare for XAT Verbal?

Q20. When 7897, 8110 and 8536 are divided by the greatest number x, then the remainder in each case is the same. The sum of the digits

of x is:

1. 14
2. 5
3. 9
4. 6

Ans: D

Q21. If the 11-digit number 5678x43267y is divisible by 72, then the value is:

1. 6
2. 4
3. 7
4. 8

Ans: A

Q22. The digits of a two-digit number are in the ratio of 2 and 3, and the number obtained by interchanging the digits is bigger than the original number by 27. What is the original number?

1. 63
2. 48
3. 96
4. 69

Ans: 4

Q23. Three consecutive numbers, such as twice the first, 3 times the second, and 4 times the third, together make 182. The numbers in question are

1. 18, 22 and 23
2. 18, 19 and 20
3. 19, 20 and 21
4. 20, 21 and 22

Ans: 3

Q24. A two-digit number is such that the sum of the digits is 11. When the number with the same digits is reversed and subtracted from this number, the difference is 9. What is the number?

1. 23
2. 24
3. 65
4. 14

Ans: 3

Q25. One-fifth of a number is equal to 5/8th of another number. If 35 is added to the first number, it becomes four times the second number. Find the second number.

1. 39
2. 70
3. 40
4. 25

Ans: 3

Also Read: XAT 2020 Question Paper

Q26. What least number would be subtracted from 427398 so that the remaining number is divisible by 15?

1. 3
2. 10
3. 16
4. 11

Ans: 1

Q27. A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:

1. 3
2. 5
3. 9
4. 11

Ans: D