Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 21

EASY

CAT

IMPORTANT

Earn 100

$(17^{21} + 19^{21})$ is not divisible by:

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 22

Which of the following will divide

11^{12296} - 1 ?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 23

If

a, b, c

and

d

are consecutive odd numbers, then

(a^{2} + b^{2} + c^{2} + d^{2})

is always divisible by:

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 24

Three bells toll at intervals of

14, 21 and 42

min, respectively. If they toll together at

11 : 22

am, when will they toll together for the first time after that?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 25

When

x

is divided by

6

, remainder obtained is

3

. Find the remainder when

(x^{4} + x^{3} + x^{2} + x + 1)

is divided by

6

.

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 26

I have

7^{7}

sweets and I want to distribute them equally among

2^{4}

students. After each of the students got maximum integral sweets, how many sweets are left with me?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 27

When I distribute some chocolates to my

40

students, three chocolates will be left. If I distribute the same number of chocolates to my students and my colleague Manoj Dawrani, seven chocolates are left. Find the minimum number of chocolates I have.

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 28

The LCM of two numbers is $114$ times their HCF. If the sum of LCM and HCF is $2300$ and one of the numbers is $380 .$ Find the other number.

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 29

1010101 \dots 94

digits is a

94

-digit number. What will be the remainder obtained when this number is divided by

375

?