# 20+ CAT Remainders Questions With Video Solution & Formulas

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.

## 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

#### Question 2

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

## CAT 2004 Remainders questions

#### Question 1

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

## 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

#### 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?

#### Question 3

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

## 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

#### 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?

#### Question 2

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

#### Question 3

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

## CAT 1999 Remainders questions

#### Question 1

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

## 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.

#### 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.

## CAT 1997 Remainders questions

#### Question 1

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

## CAT 1991 Remainders questions

#### Question 1

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