## RS Aggarwal Class 10 Solutions Chapter 1 Real Numbers MCQS

These Solutions are part of RS Aggarwal Solutions Class 10. Here we have given RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers MCQS.

**Other Exercises**

- RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers Ex 1A
- RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers Ex 1B
- RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers Ex 1C
- RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers Ex 1D
- RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers Ex 1E
- RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers MCQs
- RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers Test Yourself

**Choose the correct answer in each of the following questions.**

**Question 1.**

**Solution:**

**(b)** We know that HCF of two co-prime number is 1

HCF of 14, 35 is 7

HCF of 18, 25 is 1

HCF of 31, 93 is 31

HCF of 32, 60 is 4

Required co-prime number is (18, 25)

**Question 2.**

**Solution:**

**(b)** a = (2^{2} x 3^{3} x 5^{4}), b = (2^{3} x 3^{2} x 5)

HCF = 2^{2} x 3^{2} x 5 = 2 x 2 x 3 x 3 x 5 = 180

**Question 3.**

**Solution:**

**(c)** HCF of 2^{3} x 3^{2} x 5, 2^{2} x 3^{3} x 5^{2}, 2^{4} x 3 x 5^{3} x 7

HCF = 2^{2} x 3 x 5 = 2 x 2 x 3 x 5 = 60

**Question 4.**

**Solution:**

**(d)** LCM of 2^{3} x 3 x 5, 2^{4} x 5 x 7 = 2^{4} x 3 x 5 x 7

=2 x 2 x 2 x 2 x 3 x 5 x 7

= 1680

**Question 5.**

**Solution:**

**(d)** HCF of two numbers = 27

LCM = 162

One number = 54

**Question 6.**

**Solution:**

**(c)** Product of two numbers = 1600

HCF = 5

**Question 7.**

**Solution:**

**(c)** Largest number that divides each one of 1152 and 1664

HCF of 1152 and 1664 =128

**Question 8.**

**Solution:**

**(a)** Largest number that divides 70 and 125 leaving remainders as 5 and 8 respectively.

Required number = 70 – 5 = 65

and 125 – 8= 117

HCF of 65, 117 = 13

**Question 9.**

**Solution:**

**(b)** Largest number that divides 245 and 1029 leaving remainder as 5 in each case. .

Required number = 245 – 5 = 240 and 1029 – 5 = 1024

Now, HCF of 240 and 1020 = 16

**Question 10.**

**Solution:**

**(d)**

**Question 11.**

**Solution:**

**(c)** In a = bq + r

r must satisfy i.e. 0 ≤ r < b

**Question 12.**

**Solution:**

**(d)** Let the given number when divided by 143 gives q as quotient and 31 as remainder.

Number = 143q + 31

= (13 x 11) q + 31

= 13 x 11 q+ 13 x 2 + 5

= 13 (110 + 2) + 5

The number where divided by 73, gives 5 as remainder.

**Question 13.**

**Solution:**

**(d)** 3.141141114… is irrational because it is non terminating non-repeating.

**Question 14.**

**Solution:**

**(c)** π is an irrational number.

**Question 15.**

**Solution:**

**(b)** \(2.\bar { 35 }\) is a rational number as it is non-terminating repeating decimal.

**Question 16.**

**Solution:**

**(c)** 2.13113111311113… is an irrational number.

It is non-terminating non-repeating decimal.

**Question 17.**

**Solution:**

**(b)** 3.24636363…

= \(3.24\bar { 63 }\)

It is non-terminating repeating decimal.

It is a rational number.

**Question 18.**

**Solution:**

**(c)** \(\frac { 2027 }{ 625 }\) = \(\frac { 2027 }{ { 5 }^{ 4 } }\) is a rational because it has terminating decimal as q = 5^{4} which is in form of 2^{m} x 5^{n}.

**Question 19.**

**Solution:**

**(b)**

**Question 20.**

**Solution:**

**(d)**

**Question 21.**

**Solution:**

**(b)** 1.732 is a rational number.

As it is terminating decimal.

**Question 22.**

**Solution:**

**(a)** Least prime factor of a positive integer a is 3 and b is 5

2 is neither a factor of a nor of b

a and b are odd

Then (a + b) = even

(Sum of two odd numbers is even)

(a + b) is divisible by 2

Which is the least prime factor.

**Question 23.**

**Solution:**

**(b)** √2 is an irrational number.

**Question 24.**

**Solution:**

**(c)**

**Question 25.**

**Solution:**

**(c)** 2 + √2 is an irrational number as sum of a rational and an irrational is an irrational

**Question 26.**

**Solution:**

**(c)** LCM of 1 to 10 = 2 x 2 x 2 x 3 x 3 x 5 x 7 = 2520

Hope given RS Aggarwal Solutions Class 10 Chapter 1 Real Numbers MCQS are helpful to complete your math homework.

If you have any doubts, please comment below. Learn Insta try to provide online math tutoring for you.