Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 51

EASY

CAT

IMPORTANT

Earn 100

What is the remainder when $32^{33^{34}}$ is divided by $7$ ?

50% studentsanswered this correctly

Important Questions on Numbers and Their Properties

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 52

1 s

are given

100

times,

2 s

are given

100

times, and

3 s

are given

100

times. Now, numbers are made by arranging these

300

digits in all possible ways. How many of these numbers will be perfect squares?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 53

Which of the following number is the greatest number dividing a family of numbers

(N^{5} - N)

, where N is any natural number?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 54

When Rahul Ghosh distributes

₹ 5

to some of his employees, he is left with

₹ 1

. When he distributes

₹ 6

to some of his employees, he is left with

₹ 5

. What is the sum of digits of the minimum possible sum with Rahul Ghosh if he is having more than

₹ 100

?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 55

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

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 56

The integers

34, 041

and

32, 506

when divided by a three-digit integer N leave the same remainder. How many values of N is/are possible?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 57

What is the remainder when

77, 777 \dots

up to

56

digits is divided by

19

?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 58

There are three consecutives odd integers such that the product is a prime number. Find the largest of the prime number.

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 59

A square floor of the dimensions $72 cm \times 72 cm$ has to be laid with rectangular tiles whose length and breadth are in the ratio $3 : 2$ . What is the difference between the maximum number of tiles and minimum numbers of tiles, given that the length and the breadth are integers ?