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IPMAT Number System Questions
Number System is a very important topic in the IPMAT exam. It includes simple ideas like factors, multiples, divisibility, and remainders. Many maths questions are based on this topic, so it is very important to learn it well.
At first, this topic may feel a little difficult, but it becomes easy with practice. In IPMAT, most questions are simple if your basics are clear. If you understand the concepts, you can solve questions quickly and get good marks.
Download IPMAT Number System Questions PDF
To do well in this topic, you need to practice questions regularly. A good PDF helps you practice many types of questions in one place.
You can download the questions PDF from the link below. It has important questions with solutions. This will help you understand the method and improve your speed.
IPMAT Number System Formula PDF
Formulas help you solve questions faster. You do not need to do long calculations if you know the rules.
You should learn simple things like divisibility rules, remainders, LCM, and HCF. These are very important in this topic.
If you revise formulas regularly, you will not forget them in the exam. Keeping a short formula PDF is very helpful for quick revision.
Common Mistakes to Avoid While Solving IPMAT Number System Questions
- Not understanding basic concepts properly
- Forgetting simple rules like divisibility
- Making small calculation mistakes
- Getting confused between LCM and HCF
- Not reading the question carefully
- Ignoring signs like positive and negative
- Not checking the final answer
- Spending too much time on one question
How to Use the IPMAT Number System PDF
First, solve easy questions to understand the concept. Then try moderate questions to improve speed.
Always check the solution and learn the correct method. Practice daily and learn from your mistakes. This will help you improve quickly.
List of IPMAT Number System Questions
In IPMAT, number system questions come in different types. Some questions are based on divisibility. Some are based on remainders. Others are based on factors, LCM, and HCF.
Some questions are easy, while some need more thinking. If you practice all types, you will feel more comfortable.
With regular practice, you can solve questions faster and score better in the exam.
Question 1
The number of positive integers which divide (1890)*(130)*(170) and are not divisible by 45 is ____________.
correct answer:- 320
Question 2
The highest possible value of the ratio of a four digit number and the sum of its four digits is:
correct answer:- 1
Question 3
Placing which of the following two digits at the right end of 4530 makes the resultant six digit number divisible by 6,7 and 9?
correct answer:- 1
Question 4
The unit digit in $$(743)^{85} −(525)^{37} + (987)^{96}$$ IS ________
correct answer:- 1
Question 5
The number of factors of 1800 that are multiple of 6 is:
correct answer:- 18
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Question 6
You have been asked to select a positive integer N which is less than 1000 , such that it is either a multiple of 4, or a multiple of 6, or an odd multiple of 9. The number of such numbers is
correct answer:- 388
Question 7
Which of the following numbers is divisible by $$3^{10} + 2$$
correct answer:- 4
Question 8
The number of factors of $$3^5 \times 5^8 \times 7^2$$ that are perfect squares is
correct answer:- 30
Question 9
Let p be a positive integer such that the unit digit of $$p^{3}$$ is 4. What are the possible unit digits of $$(p+3)^{3}$$?
correct answer:- 1
Question 10
When the square of the difference of two natural numbers is subtracted from the square of the sum of the same two numbers and the result is divided by four, we get
correct answer:- 2
Question 11
The maximum value of the natural number n for which $$21^{n}$$ divides 50! is
correct answer:- 3
Question 12
Determine the greatest number among the following four numbers
correct answer:- 2
Question 13
In a four-digit number, the product of the thousands digit and the units digit is zero, while their difference is 7. The product of the middle digits is 18. The thousands digit is as much more than the units digit as the hundreds digit is more than the tens digit. The four-digit number is _____________.
correct answer:- 7920
Question 14
The remainder when $$11^{1011} + 1011^{11}$$ is divided by 9 is
correct answer:- 2
Question 15
In a division problem, product of quotient and the remainder is 24 while their sum is 10. If the divisor is 5 then dividend is__________.
correct answer:- 34
Question 16
The remainder when $$(29^{29})^{29}$$ is divided by 9 is
correct answer:- 2
Question 17
How many different numbers can be formed by using only the digits 1 and 3 which are smaller than 3000000?
correct answer:- 3
Question 18
The remainder when 1! + 2! + 3! +∙∙∙+95! is divided by 15 is _____________.
correct answer:- 3
Question 19
The number of pairs of integers whose sums are equal to their products is
correct answer:- 2
Question 20
If the five-digit number abcde is divisible by 6, then which of the following numbers is not necessarily divisible by 6?
correct answer:- 2
