Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 70

MEDIUM

CAT

IMPORTANT

Earn 100

S is a number formed by writing $8$ for $88$ times. What will be the remainder of this number when 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 71

We are writing all the multiples of

3

from

111

to

324

. How many times will we write digit

3

?

EASY

CAT

IMPORTANT

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

What is the remainder when

7 + 77 + 777 + 7777 + . . . . .

(till

100

terms) is divided by

8

?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 73

A number has exactly

15

composite factors. What can be the maximum number of prime factors of this number?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 74

N = 204 \times 221 \times 238 \times 255 \times \dots \times 850

. How many consecutive zeroes will be there at the end of this number N?

EASY

CAT

IMPORTANT

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

1^{st}

126

natural numbers are put side by side in the ascending order to create a large number

N = 123456 \dots 125126

. What will be the remainder when N is divided by

5625

?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 76

When a number S is divided by

3, 4,

and

7

successively, remainders obtained are

2, 1,

and

4

respectively. What will be the remainder when the same number is divided by

84

?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 77

What is the remainder when

1714 \times 1715 \times 1717

is divided by

12

?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 78

N^{2} = 12345678987654321

. Find

N

.