All important questions of chapter 1 class 10
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Question 1. Without actually performing division, state which of these number will terminating decimal expression or non terminating repeating decimal expression
Question 2. Using Euclid’s theorem to find the HCF between the following numbers
a. 867 and 225
b. 616 and 32
Question 3. Write 10 rational number between
a. 4 and 5
b. 1/2 and 1/3
Question 4. Represent in rational form.
a. 1.232323….
b. 1.25
c. 3.67777777
Question 5
a. Prove that 2+√3 is a irrational number
b. Prove that 3√3 a irrational number
a. Let’s take this as rational number
ab=2+√3ab=2+3
Or
a−2bb=√3a−2bb=3
Since a rational number can’t be equal to irrational number, our assumption is wrong
b. Let’s take this as rational number
q=3√3
q/3=√3
Since a rational number can’t be equal to irrational number, our assumption is wrong
Question 6True or False statement
a. Number of the form 2n +1 where n is any positive integer are always odd number
b. Product of two prime number is always equal to their LCM
c. √3X √12 is a irrational number
d. Every integer is a rational number
e. The HCF of two prime number is always 1
f. There are infinite integers between two integers
g. There are finite rational number between 2 and 3
h. √3 Can be expressed in the form √3/1,so it is a rational number
i. The number 6n for n in natural number can end in digit zero
j. Any positive odd integer is of the form 6m+1 or 6m+3 or 6m +5 where q is some integer
THESE ARE SOME IMPORTANT QUESTIONS.....
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