CBSE Class 10 Maths Competency Based Questions

Original CBSE Class 10 Maths Standard competency based questions for application, reasoning and board-style problem solving.

ChapterTopic

Question 1MCQ · Apply · 1 mark

Real Numbers · Fundamental Theorem of Arithmetic

If $a = 2^{3} \times 3^{2}$ , $b = 2^{2} \times 5$ , and $c = 3 \times 5^{2}$ , then $LCM (a, b, c)$ is:

Mark as completed

Question 2MCQ · Apply · 1 mark

Real Numbers · Fundamental Theorem of Arithmetic

The HCF of two numbers is $48$ and their LCM is $4800$ . If $LCM = 48 k$ , find $k$ .

Mark as completed

Question 3MCQ · Analyse · 1 mark

Real Numbers · Irrational Numbers

Which pair consists of two irrational numbers whose product is rational?

Mark as completed

Question 4MCQ · Apply · 1 mark

Real Numbers · Irrational Numbers

Which is the smallest positive irrational number among the options that makes $45$ rational when multiplied by it?

Mark as completed

Question 5MCQ · Understand · 1 mark

Real Numbers · Irrational Numbers

If $z^{2} = \frac{49}{64}$ , then every possible real value of $z$ is:

Mark as completed

Question 6MCQ · Apply · 1 mark

Real Numbers · Fundamental Theorem of Arithmetic

What is the LCM of the smallest two-digit positive integer and the smallest composite number?

Mark as completed

Question 7MCQ · Apply · 1 mark

Real Numbers · Fundamental Theorem of Arithmetic

The sum of the exponents in the prime factorisation of $360$ is:

Mark as completed

Question 8MCQ · Understand · 1 mark

Real Numbers · Fundamental Theorem of Arithmetic

If $p$ is prime, how many positive factors does $p^{2}$ have?

Mark as completed

Question 9MCQ · Apply · 1 mark

Real Numbers · Fundamental Theorem of Arithmetic

The HCF and LCM, respectively, of $18, 24, 30$ are:

Mark as completed

Question 10MCQ · Understand · 1 mark

Real Numbers · Fundamental Theorem of Arithmetic

$n$ is a natural number greater than $1$ . Which expression must be writable as a product of prime numbers?

Mark as completed

Loading content...

CBSE Class 10 Maths Competency Based Questions

Original CBSE Class 10 Maths Standard competency based questions for application, reasoning and board-style problem solving.

ChapterTopic

CBSE Class 10 Maths Competency Based Questions

If a=23×32, b=22×5, and c=3×52, then LCM(a,b,c) is:

The HCF of two numbers is 48 and their LCM is 4800. If LCM=48k, find k.

Which pair consists of two irrational numbers whose product is rational?

Which is the smallest positive irrational number among the options that makes 45​ rational when multiplied by it?

If z2=6449​, then every possible real value of z is:

What is the LCM of the smallest two-digit positive integer and the smallest composite number?

The sum of the exponents in the prime factorisation of 360 is:

If p is prime, how many positive factors does p2 have?

The HCF and LCM, respectively, of 18,24,30 are:

n​ is a natural number greater than 1. Which expression must be writable as a product of prime numbers?

CBSE Class 10 Maths Competency Based Questions

If a=23×32, b=22×5, and c=3×52, then LCM(a,b,c) is:

The HCF of two numbers is 48 and their LCM is 4800. If LCM=48k, find k.

Which pair consists of two irrational numbers whose product is rational?

Which is the smallest positive irrational number among the options that makes 45​ rational when multiplied by it?

If z2=6449​, then every possible real value of z is:

What is the LCM of the smallest two-digit positive integer and the smallest composite number?

The sum of the exponents in the prime factorisation of 360 is:

If p is prime, how many positive factors does p2 have?

The HCF and LCM, respectively, of 18,24,30 are:

n​ is a natural number greater than 1. Which expression must be writable as a product of prime numbers?

If $a = 2^{3} \times 3^{2}$ , $b = 2^{2} \times 5$ , and $c = 3 \times 5^{2}$ , then $LCM (a, b, c)$ is:

The HCF of two numbers is $48$ and their LCM is $4800$ . If $LCM = 48 k$ , find $k$ .

Which is the smallest positive irrational number among the options that makes $45$ rational when multiplied by it?

If $z^{2} = \frac{49}{64}$ , then every possible real value of $z$ is:

The sum of the exponents in the prime factorisation of $360$ is:

If $p$ is prime, how many positive factors does $p^{2}$ have?

The HCF and LCM, respectively, of $18, 24, 30$ are:

$n$ is a natural number greater than $1$ . Which expression must be writable as a product of prime numbers?

If $a = 2^{3} \times 3^{2}$ , $b = 2^{2} \times 5$ , and $c = 3 \times 5^{2}$ , then $LCM (a, b, c)$ is:

The HCF of two numbers is $48$ and their LCM is $4800$ . If $LCM = 48 k$ , find $k$ .

Which is the smallest positive irrational number among the options that makes $45$ rational when multiplied by it?

If $z^{2} = \frac{49}{64}$ , then every possible real value of $z$ is:

The sum of the exponents in the prime factorisation of $360$ is:

If $p$ is prime, how many positive factors does $p^{2}$ have?

The HCF and LCM, respectively, of $18, 24, 30$ are:

$n$ is a natural number greater than $1$ . Which expression must be writable as a product of prime numbers?