Class 10 Maths Chapter 1: Real Numbers Chapter Practice Problems(with Questions PDF and Step by Step Handwritten Solutions)CPP

Class 10 Maths Chapter 1: Real Numbers Chapter Practice Problems(with Questions PDF and Step by Step Handwritten Solutions)CPP 

Click Here to download Class 10 Maths Chapter 1: Real Numbers Chapter Practice Problems with answers 

Click Here to download Class 10 Maths Chapter 1: Real Numbers Chapter Practice Problems step-by-step handwritten answers 

Questions:

1)   If the HCF of 408 and 1032 is expressible in the form 1032m-408*5.Find m.

2) Find the largest number which exactly divides 280 and 1245 and leaves remainders of 4 and 3

3) Prove that if x and y are odd positive integers, then x²+y² is even but not divisible by 4.

4) Prove that there is no natural number for which 4ⁿ ends with the digit zero.

5) Prove that 21/2 + 31/2 is irrational.

6) If a,b,c and d are four positive real numbers such that abcd=1,what is the minimum value of(1+a)(1+b)(1+c)(1+d).

7) Find the last digit of the sum 1+2+...+49.

8) Find the rightmost non-zero digit of the number(30)²⁷²⁰

9) How many numbers up to 100 are co-prime to 19?

10) Find the remainder when 43³³-23³³ is divided by 5.

11) How many composite numbers from 71 to 76 have the same number of divisors?

Answers:

            1)      2                                  10)0                             

            2)      138                              11) 2

6) 16

7) 5

8) 1

9)95

You can find step – step handwritten solution of this CPP in the blog itself. J