Top 20+ CAT Remainders Questions With Video Solutions

You can find Top 20+ Remainders Questions with detailed video and text explanations on this page. There are many tricks, shortcuts and formulas that help you to solve the questions quickly. One can find those solving tips in the video solutions explained by CAT experts and IIM Alumni. You can get the complete resources for practising the Concepts of Remainders. Keep practising free CAT mocks where you'll get a fair idea of how questions are asked, and type of questions asked. 

The Remainder theorem is a part of the Number Systems topic in the CAT Quant Section. You can check out these CAT Remainder Questions from Previous years. The best part about our page is you can download the questions PDF for free without signing up. Click on the link below to download all the remianders questions from CAT previous papers PDF. These are a good source for practice; If you want to practice these questions, you can download these CAT Remainder theorem Questions PDF below, which is completely Free. 

CAT Remainder Formulas PDF

CAT Remainder theorem Questions - Tip 1: If you're starting the prep, firstly understand the CAT Number System Syllabus; Based on our analysis of the previous years CAT number system questions, only a few questions were asked from CAT Remainder theorem questions.

CAT Remainder theorem Questions - Tip 2: If you're not very strong in this topic, don't spend too much time on these theorems. Only after you have completed all other topics, you can go to CAT remainder theorem questions and concepts.

You can practice these CAT remainder theorem questions in PDF with video solutions. Learn all the major formulae from these concepts and the Important Number System for CAT tricks Formulas PDF here.

Download Complete CAT Formulas PDF

CAT 2020 Remainders questions

Question 1

How many of the integers 1, 2, … , 120, are divisible by none of 2, 5 and 7?

CAT 2018 Remainders questions

Question 1

The number of integers x such that $$0.25 \leq 2^x \leq 200$$ and $$2^x + 2$$ is perfectly divisible by either 3 or 4, is

CAT 2005 Remainders questions

Question 1

Let $$n!=1*2*3* ...*n$$ for integer $$n \geq 1$$.

If $$p = 1!+(2*2!)+(3*3!)+... +(10*10!)$$, then $$p+2$$ when divided by 11! leaves a remainder of

Show Answer Explanation

Question 2

If x = $$(16^3 + 17^3+ 18^3+ 19^3 )$$, then x divided by 70 leaves a remainder of

Show Answer Explanation

CAT 2004 Remainders questions

Question 1

The remainder, when $$(15^{23} + 23^{23})$$ is divided by 19, is

Show Answer Explanation

CAT 2003 Remainders questions

Question 1

How many even integers n, where $$100 \leq n \leq 200$$ , are divisible neither by seven nor by nine?


Question 2

The number of positive integers n in the range $$12 \leq n \leq 40$$ such that the product (n -1)*(n - 2)*…*3*2*1 is not divisible by n is

CAT 2002 Remainders questions

Question 1

When $$2^{256}$$ is divided by 17, the remainder would be

Show Answer Explanation

Question 2

After the division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4 respectively. What will be the remainder if 84 divides the same number?

Show Answer Explanation

Question 3

$$7^{6n} - 6^{6n}$$, where n is an integer > 0, is divisible by

Show Answer Explanation

CAT 2001 Remainders questions

Question 1

Let $$b$$ be a positive integer and $$a = b^2 - b$$. If $$b \geq 4$$ , then $$a^2 - 2a$$ is divisible by

Show Answer Explanation

Question 2

Let n be the number of different five-digit numbers, divisible by 4 with the digits 1, 2, 3, 4, 5 and 6, no digit being repeated in the numbers. What is the value of n?

CAT 2000 Remainders questions

Question 1

Let N = 1421 * 1423 * 1425. What is the remainder when N is divided by 12?

Show Answer Explanation

Question 2

The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?

Show Answer Explanation

Question 3

Let N = $$55^3 + 17^3 - 72^3$$. N is divisible by:

Show Answer Explanation

CAT 1999 Remainders questions

Question 1

The remainder when $$7^{84}$$ is divided by $$342$$ is :

Show Answer Explanation

CAT 1998 Remainders questions

Question 1

A certain number, when divided by 899, leaves a remainder 63. Find the remainder when the same number is divided by 29.

Show Answer Explanation

Question 2

A number is formed by writing first 54 natural numbers next to each other as 12345678910111213 ... Find the remainder when this number is divided by 8.

Show Answer Explanation

CAT 1997 Remainders questions

Question 1

If m and n are integers divisible by 5, which of the following is not necessarily true?

Show Answer Explanation

CAT 1991 Remainders questions

Question 1

Find the minimum integral value of n such that the division $$\frac{55n}{124}$$ leaves no remainder.

Show Answer Explanation

CAT Quant Questions | CAT Quantitative Ability

CAT Averages Mixtures Alligations QuestionsCAT Averages QuestionsCAT Functions, Graphs and Statistics QuestionsCAT Coordinate Geometry QuestionsCAT Data Sufficiency QuestionsCAT Number Systems QuestionsCAT Profit And Loss QuestionsCAT Logarithms QuestionsCAT Quadratic Equations QuestionsCAT Time And Work QuestionsCAT Remainders QuestionsCAT Mensuration QuestionsCAT Logarithms, Surds and Indices QuestionsCAT Venn Diagrams QuestionsCAT Time Speed Distance QuestionsCAT Arithmetic QuestionsCAT Inequalities QuestionsCAT Averages, Ratio and Proportion QuestionsCAT Probability, Combinatorics QuestionsCAT Time, Distance and Work QuestionsCAT Simple Interest Compound Interest QuestionsCAT Number Series QuestionsCAT Linear Equations QuestionsCAT Progressions and Series QuestionsCAT Algebra QuestionsCAT Geometry QuestionsCAT Percentages QuestionsCAT Profit, Loss and Interest Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

cracku

Boost your Prep!

Download App