Modern's abc+ of Mathematics for Class 10>Chapter 1 - Real Numbers>EXERCISE>Q 9

HARD

10th CBSE

IMPORTANT

Earn 100

Prove that the square of an odd positive integer is of the form $8 q + 1,$ for some integer $q$ .

Important Questions on Real Numbers

HARD

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 1 - Real Numbers>EXERCISE>Q 10

Prove that the square of any positive integer is of the form

5 q, 5 q + 1

or

5 q + 4

for some integer

q .

HARD

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 1 - Real Numbers>EXERCISE>Q 11

Prove that if a positive integer is of the form

6 q + 5

, then it is of the form

3 q + 2

for some integer

q,

but not conversely.

HARD

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 1 - Real Numbers>EXERCISE>Q 12

Show that the square of an odd integer is of the form

8 q + 1,

for some integer

q .

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 1 - Real Numbers>EXERCISE>Q 1

Find the prime factorisation of the following number: $96$

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 1 - Real Numbers>EXERCISE>Q 1

Find the prime factorisation of the number: $408$

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 1 - Real Numbers>EXERCISE>Q 1

Find the prime factorisation of the number: $2025$

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 1 - Real Numbers>EXERCISE>Q 2

Express

16380

as prime factors.

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 1 - Real Numbers>EXERCISE>Q 3

Express the following number as product of their primes.

$49896$