Mathematics for Class 10>Chapter 1 - Number System>EXERCISE 1.1>Q 7

MEDIUM

10th Manipur Board

IMPORTANT

Earn 100

If $a$ is divisible by neither $2$ nor $3$ , show that $a^{2} - 1$ is divisible by $24$ .

Important Questions on Number System

EASY

10th Manipur Board

IMPORTANT

Mathematics for Class 10>Chapter 1 - Number System>EXERCISE 1.1>Q 8

Show that any square number cannot be put in the form

4 k + 2

.

EASY

10th Manipur Board

IMPORTANT

Mathematics for Class 10>Chapter 1 - Number System>EXERCISE 1.1>Q 9

Show that any square number is of the form

3 n

or

3 n + 1

.

EASY

10th Manipur Board

IMPORTANT

Mathematics for Class 10>Chapter 1 - Number System>EXERCISE 1.1>Q 10

Show that one of three consecutive odd integers is a multiple of

3

.

MEDIUM

10th Manipur Board

IMPORTANT

Mathematics for Class 10>Chapter 1 - Number System>EXERCISE 1.1>Q 11

Show that the product of any three consecutive even integers is divisible by

48

.

EASY

10th Manipur Board

IMPORTANT

Mathematics for Class 10>Chapter 1 - Number System>EXERCISE 1.2>Q 1

Find the canonical decomposition of the number

1914

.

EASY

10th Manipur Board

IMPORTANT

Mathematics for Class 10>Chapter 1 - Number System>EXERCISE 1.2>Q 1

Find the canonical decomposition of the number

2332

.

EASY

10th Manipur Board

IMPORTANT

Mathematics for Class 10>Chapter 1 - Number System>EXERCISE 1.2>Q 1

Find the canonical decomposition of the number

4284

.

EASY

10th Manipur Board

IMPORTANT

Mathematics for Class 10>Chapter 1 - Number System>EXERCISE 1.2>Q 1

Find the canonical decomposition of the number

190575

.