CBSE-Maths-Class-X-REAL NUMBERS

1.

Multiple Choice

30 sec

1 pt

Every composite number can be written as the product of powers of primes.

True

False

2.

Fill in the Blank

1 min

1 pt

"Every composite number can be expressed (factorised) as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur" is known as Fundamental Theorem of ______________________.

3.

Multiple Choice

30 sec

1 pt

Who is known as the ‘Prince of Mathematicians’?

Newton

Euler

Archimedes

Carl Friedrich

4.

Fill in the Blank

1 min

1 pt

The prime factorisation of a natural number is ____________ way, except for the order of its factors.

5.

Multiple Choice

30 sec

1 pt

For any two positive integers a and b,

HCF (a, b) + LCM (a, b) = a × b

HCF (a, b) - LCM (a, b) = a × b

HCF (a, b) ÷ LCM (a, b) = a × b

HCF (a, b) × LCM (a, b) = a × b

6.

Multiple Choice

30 sec

1 pt

True

False

7.

Multiple Choice

30 sec

1 pt

True

False

8.

Multiple Choice

30 sec

1 pt

p divides a

p does not divide a

a is not a positive integer

p is not a prime number

9.

Multiple Choice

30 sec

1 pt

rational

irrational

10.

Multiple Choice

30 sec

1 pt

rational

irrational

11.

Multiple Choice

30 sec

1 pt

Terminating

Non-terminating and repeating

Non-terminating and non-repeating

None of these

12.

Multiple Choice

30 sec

1 pt

For any integer n, the odd integer is represented in the form of _______

2n

3n - 1

2n + 1

13.

Multiple Choice

30 sec

1 pt

For any integer n, the even integer is represented in the form of _______

2n

3n - 1

2n + 1

14.

Multiple Choice

30 sec

1 pt

Which of the following is not irrational?

15.

Multiple Choice

30 sec

1 pt

The sum of a rational number and an irrational number is equal to ______

whole number

integer

irrational

rational

16.

Multiple Choice

30 sec

1 pt

The sum or difference of two irrational numbers is always _________

rational

even

positive

irrational

17.

Multiple Choice

30 sec

1 pt

The prime factorisation of 96 is

18.

Multiple Choice

30 sec

1 pt

n² – 1 is divisible by 8, if n is ______________

any even integer

a multiple of 3

a prime number

any odd integer

19.

Multiple Choice

30 sec

1 pt

For any two positive integers a and b, HCF (a, b) × LCM (a, b) =

20.

Multiple Choice

30 sec

1 pt

The values of the remainder r, when a positive integer a is divided by 3 are ___________

0, 1, 2

0, 3, 6

2, 4, 6

1, 2, 3

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