Borard Exams 2025 | Mathematics Chapter 1 | MCQ | NCERT

Dear students, Here is an important list of MCQs of Mathematics Chapter 1 for board exams 2025 based on NCERT syllabus.

The following question set will help you practice one type of question in one place, which is beneficial in getting practice on a particular topic.

Question 1

For any two positive integers ‘a’ and ‘b’ :

A) a = HCF(a, b) x b

B) a x b = LCM(a, b)

C) b = HCF(a, b) x LCM(a,b)

D) a x b = HCF(a, b) x LCM(a, b)

Answer

Question 2

If the LCM of (26,156) is 156, the value of HCF will be:

A) 156

B) 26

C) 13

D) 6

Answer

Question 3

It is given that LCM(12, 21) = 84, find HCF(12, 21):

A) 3

B) 6

C) 7

D) 33

Answer

Question 4

If HCF ( 99, 153) = 9, Find the LCM ( 99, 153) :

A) 1428

B) 1683

C) 1242

D) 1553

Answer

Question 5

Given that LCM(132, 288) = 3168. Find HCF (132, 288):

A) 132

B) 238

C) 48

D) 12

Answer

Question 6

Given that HCF ( 255, 867) = 51, find the value of LCM ( 255, 867)

A) 4335

B) 2584

C) 4362

D) none

Answer

Question 7

Find HCF of 867 and 255

A) 53

B) 87

C) 17

D) 51

Answer

Question 8

The HCF of the numbers 182 and 78 is:

A) 15

B) 13

C) 26

D) 39

Answer

Question 9

The LCM of 15, 18 and 24 is:

A) 240

B) 360

C) 120

D) none

Answer

Question 10

Find the HCF of 2520 and 10530:

A) 180

B) 270

C) 90

D) none

Answer

Question 11

Find the HCF of 96 and 404:

A) 32

B) 4

C) 404

D) 96

Answer

Question 12

What is the HCF of 18, 21, and 27?

A) 6

B) 9

C) 3

D) 12

Answer

Question 13

What is the LCM of 6, 72, and 120?

A) 51640

B) 720

C) 560

D) 360

Answer

Question 14

The HCF of 3000 and 525:

A) 750

B) 75

C) 25

D) 150

Answer

Question 15

The product of any two given numbers is equal to :

A) \(HCF\times LCM\)

B) \(\frac{LCM}{HCF}\)

C) \(\frac{HCF}{LCM}\)

D) \(LCM^{2}\times HCF\)

Answer

Question 16

The LCM of 18 and ‘k‘ is 36 and the HCF of ‘k‘ and 18 is 2. What is the value of ‘k‘ :

A) 4

B) 3

C) 1

D) 2

Answer

Question 17

The HCF of 152 and 95 is:

A) 38

B) 57

C) 19

D) 1

Answer

Question 18

If the HCF of 26 and 169 is 13, find the LCM of those numbers:

A) 52

B) 78

C) 104

D) 338

Answer

Question 19

Find the LCM of 36, 40, 126:

A) 2520

B) 360

C) 1080

D) 720

Answer

Question 20

Find the HCF of 84, 90, and 120:

A) 12

B) 18

C) 6

D) 1

Answer

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