91- 6303239042
Group
SNAP Number System Questions 2026
The Quantitative, Data Interpretation and Data Sufficiency section of the SNAP exam 2026 checks your grip on core maths concepts, your calculation speed and your ability to pick the right approach quickly. Number System is one of the most important topics in this section. It also forms the base for many other Quant topics such as percentages, algebra and time-and-work.
Many students find Number System questions tricky because they involve concepts like remainders, divisibility, factors and unit digits. However, most SNAP Number System questions are short and can be solved in under a minute once you know the right rule or shortcut. The difficulty usually lies in spotting which concept the question is testing, not in the calculation.
SNAP is a speed-based exam, so you need to solve Number System questions fast and accurately. Practising a wide variety of questions helps you recognise common patterns and saves valuable time in the exam.
Aim to solve at least 10 to 15 Number System questions daily, mixing easy, moderate and tricky ones, so you are ready for any type of question on exam day.
SNAP Number System Questions PDF
A well-structured SNAP Number System Questions PDF puts all the important questions in one place, so you don't have to search through multiple sources during revision.
A good PDF should cover previous-year SNAP questions, expected questions, concept-wise practice sets and step-by-step solutions. The solutions matter most, because they show you the fastest method and help you build shortcuts of your own.
Use the PDF for timed practice. Set a fixed time for each set, then review every wrong answer and note whether the mistake came from a concept gap, a calculation slip or misreading the question. This habit will help you avoid repeating the same errors in the actual SNAP exam.
SNAP Number System Questions PDF
How to Solve These Top 25 SNAP Number System Questions
Master divisibility rules: Rules for 2, 3, 4, 5, 8, 9, 11 and composite numbers like 72 (8 × 9) help you solve many questions without long division.
Learn unit digit cycles: Powers of 2, 3, 7 and 8 repeat their last digit in cycles of 4, while 4 and 9 repeat in cycles of 2. Dividing the power by the cycle length gives the answer in seconds.
Use remainder shortcuts: Reduce the base first (for example, 7 ≡ 1 when dividing by 6), and look for powers that give a remainder of 1. For odd powers, remember that aⁿ + bⁿ is divisible by (a + b).
Know the factor formulas: Once you write a number as a product of prime powers (like 2ᵃ × 3ᵇ × 5ᶜ), you can find the number of factors, the sum of factors and more using direct formulas.
Link HCF and LCM to real situations: Bells ringing together and repeating events point to LCM, while equal distribution and the largest possible size point to HCF. Product of two numbers = HCF × LCM.
Practise factorial concepts: Trailing zeros and the highest power of a prime in n! are common SNAP question types. Use repeated division by the prime.
Analyse your mistakes regularly: Keep a short error log. Number System errors often repeat, such as forgetting an edge case or missing a divisibility condition.
Question 1
If 4M37094267N is divisible by both 8 and 11, where M and N are single digit integers, then the values of M and N are:
correct answer:- 3
Question 2
Which of the following numbers will completely divide $$7^{81} + 7^{82} + 7^{83}$$ ?
correct answer:- 2
Question 3
The proportion among three numbers is 3 : 4 : 5 and their LCM is 1800. The second number is:
correct answer:- 2
Question 4
What is the least number which whensubtracted from 3000 is exactly divisible by 7. 11, 13 ?
correct answer:- 4
Question 5
Let x be the least number divisible by 16, 24, 30, 36 and 45, and x is also a perfect square. What is the remainder when x is divided by 123?
correct answer:- 4
Question 6
In finding the HCF of two numbersby division method, the quotients are 1, 8 and 2 respectively, and the last divisor is 105. What is the sum of the numbers?
correct answer:- 3
Question 7
How many natural numbers less than 1000 are divisible by 5 or 7 but NOT by 35?
correct answer:- 1
Question 8
In a two-digit number, the unit digit is 3 more than the ten's digit. The difference between the number and the number formed by interchanging the digits of the number is 27. What is the value of original number?
correct answer:- 4
Question 9
Which one of the following fractions is the least?
$$\frac{29}{57}, \frac{31}{85}, \frac{13}{38}, \frac{17}{42}$$
correct answer:- 3
Question 10
Let N be the greatest natural number that will divide 13511, 13903 and 14589 leaving same remainder in each case. The sum of digits of N is
correct answer:- 4
Question 11
When a number is divided by 5, the remainder is 2, when divided by 7, the remainder is 3, when divided by 9, the remainder is 4. The sum of digits of such smallest number is
correct answer:- 1
Question 12
The units digit of $$(2002)^{2002}$$ is
correct answer:- 2
Question 13
If r is the remainder when each of 1059, 1417 and 2312 is divided by k, where k is an integer greater than 1, then the value of r+k is
correct answer:- 3
Question 14
The sum of digits of the number $$N = \sqrt{25^{64} \times 64^{25}}$$ is
correct answer:- 3
Question 15
The sum of the perfect square between 120 and 300 is:
correct answer:- 1
Question 16
The LCM of two numbers is 12 times their HCF. The sum of the HCF and LCM is 403. If one of the number is 93, then the other is
correct answer:- 2
Question 17
If the seven digit number 54x29y6 (x > y)is divisible by 72, what is the value of (2x + 3y)?
correct answer:- 4
Question 18
Three bells ring at intervals of 15, 30 and 45 minutes respectively. At what time will they ring together again, if they rang simultaneously at 8.00 AM ?
correct answer:- 2
Question 19
The smallest number that must be subtracted from 2800 so that the obtained number is a perfect square is:
correct answer:- 3
Question 20
What will be the highest number which when divides 52 and 104 leaves remainder 4 and 8 respectively?
correct answer:- 2
