Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 72

MEDIUM

CAT

IMPORTANT

Earn 100

If n is a natural number greater than $1$ , then $1075^{n} - 1075^{n - 1}$ is not divisible by:

50% studentsanswered this correctly

Important Questions on Numbers and Their Properties

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 75

N is an even number

8

when written in the decimal system. If S is the sum of the digits of N, when it is written in base

7

, we can surely say that S would always be:

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 1

Find the last non zero digit of

96!

.

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 2

What will be the remainder when

1212121212 \dots 300

times is being divided by

99

?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 3

Two players A and B are playing a game of putting '

+

' and '

-

' signs in between any two integers written from

1

to

100

. A starts the game by placing

a + sign

anywhere between any two integers. Once all the signs have been placed, the result is calculated. If it is even, then A wins and if it is odd, then B wins, provided they are placing signs by taking turns one by one and either of them can place any sign anywhere between any two integers. Who will win at the end?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 4

What is the remainder when