Bureau's Higher Secondary Elements of Mathematics Vol.1>Chapter 17 - Real Number System>EXERCISES 1 (a)>Q 9

EASY

11th Odisha Board

IMPORTANT

Earn 100

Find the only prime among $1, 11, 111$ and $1111$ .

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Important Questions on Real Number System

EASY

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Elements of Mathematics Vol.1>Chapter 17 - Real Number System>EXERCISES 1 (a)>Q 10

Write down the canonical factorisation of

832

and

420

.

HARD

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Elements of Mathematics Vol.1>Chapter 17 - Real Number System>EXERCISES 1 (a)>Q 11

Decide if

2^{24} + 1

is a prime or a composite number.

EASY

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Elements of Mathematics Vol.1>Chapter 17 - Real Number System>EXERCISES 1 (a)>Q 12

Determine the number of digits of

2^{100}

.

HARD

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Elements of Mathematics Vol.1>Chapter 17 - Real Number System>EXERCISES 1 (a)>Q 13

Show that

1^{99} + 2^{99} + 3^{99} + 4^{99} + 5^{99}

is divisible by

15

.

HARD

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Elements of Mathematics Vol.1>Chapter 17 - Real Number System>EXERCISES 1 (a)>Q 14

Show that

n^{5} - n

is divisible by

30

and

n^{7} - n

is divisible by

42

.

MEDIUM

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Elements of Mathematics Vol.1>Chapter 17 - Real Number System>EXERCISES 1 (a)>Q 15

Test the divisibility of

5383912

by

7, 11, 13, 17

MEDIUM

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Elements of Mathematics Vol.1>Chapter 17 - Real Number System>EXERCISES 1 (a)>Q 15

Test the divisibility of $993407$ by $7, 11, 13, 17$

MEDIUM

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Elements of Mathematics Vol.1>Chapter 17 - Real Number System>EXERCISES 1 (a)>Q 15

Test the divisibility of $123456789$ by $7, 11, 13, 17$