Hi students, Welcome to **AMBiPi (Amans Maths Blogs)**. In this article, you will get * Important MCQ Questions for Class 10 Maths Chapter 1 Real Numbers*. You can download this PDF and save it in your mobile device or laptop etc.

**Important MCQ Questions of Real Numbers Class 10 Question No 21:**

If b = 3, then any integer can be expressed as a =

**Option A** : 3q, 3q+ 1, 3q + 2

**Option B** : 3q

**Option C** : 3q + 1

**Option D** : None of above

**Show/Hide Answer Key**

**Option A : 3q, 3q+ 1, 3q + 2**

**Important MCQ Questions of Real Numbers Class 10 Question No 22:**

Euclid’s division lemma states that for two positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy

**Option A** : 1 < r < b

**Option B** : 0 < r ≤ b

**Option C** : 0 ≤ r < b

**Option D** : 0 < r < b

**Show/Hide Answer Key**

**Option C : 0 ≤ r < b**

**Important MCQ Questions of Real Numbers Class 10 Question No 23:**

The LCM of smallest two digit composite number and smallest composite number is

**Option A** : 12

**Option B** : 4

**Option C** : 20

**Option D** : 44

**Show/Hide Answer Key**

**Option C : 20**

**Important MCQ Questions of Real Numbers Class 10 Question No 24:**

The product of three consecutive positive integers is divisible by

**Option A** : 4

**Option B** : 6

**Option C** : 5

**Option D** : Only 1

**Show/Hide Answer Key**

**Option B : 6**

**Important MCQ Questions of Real Numbers Class 10 Question No 25:**

The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is

**Option A** : 13

**Option B** : 65

**Option C** : 875

**Option D** : 1750

**Show/Hide Answer Key**

**Option A : 13**

**Important MCQ Questions of Real Numbers Class 10 Question No 26:**

HCF of two numbers is 27 and their LCM is 162. If one of the numbers is 54, then the other number is

**Option A** : 36

**Option B** : 35

**Option C** : 9

**Option D** : 81

**Show/Hide Answer Key**

**Option B : 35**

**Important MCQ Questions of Real Numbers Class 10 Question No 27:**

LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by

**Option A** : x

**Option B** : y

**Option C** : xy

**Option D** : x/y

**Show/Hide Answer Key**

**Option B : y**

**Important MCQ Questions of Real Numbers Class 10 Question No 28:**

If two positive integers a and b are written as a = x^{3}y^{2} and b = xy^{3}; x, y are prime numbers, then HCF (a, b) is

**Option A** : xy

**Option B** : xy^{2}

**Option C** : x^{3}y^{3}

**Option D** : x^{2}y^{2}

**Show/Hide Answer Key**

**Option B : xy ^{2}**

**Important MCQ Questions of Real Numbers Class 10 Question No 29:**

HCF of 144 and 198 is

**Option A** : 9

**Option B** : 18

**Option C** : 6

**Option D** : 12

**Show/Hide Answer Key**

**Option B : 18**

**Important MCQ Questions of Real Numbers Class 10 Question No 30:**

The largest number that will divide 398,436 and 542 leaving remainders 7,11 and 15 respectively is

**Option A** : 17

**Option B** : 11

**Option C** : 34

**Option D** : 45

**Show/Hide Answer Key**

**Option A : 17**