1
|
Previous Questions
|
|
2
|
Exam Pattern Telangana
|
|
3
|
Introduction of number system
|
|
4
|
Find the HCF by the Euclid’s Division Algorithm
550 and 300 ; 100 and 60 ; 990 and 270;
Can you find the HCF of 1.2 and 0.12 ? Justify your answer
|
|
5
|
Can you find the HCF of 1.2 and 0.12 ?
Justify your answer
|
|
6
|
Show that every positive even integer is of the form 2q, and that every
positive odd integer is of the form 2q+1, where q is some integer.
Show that any positive odd integer is of the form
4q+1 or 4q+3, where q is some integer.
|
|
7
|
Use Euclid’s division lemma to show that the square
of any positive integer is either of the
form 3m or 3m + 1 for some integer m.
|
|
8
|
Use Euclid Division lemma to show that the
cube of any positive integer is of the form 9m or 9m+1 or9m+8
|
|
9
|
Show that one and only one out of n, n+2, n+4
is divisible by 3, where n is any positive integer.
|
|
9.2
|
prove that if x and y are two odd positive integers then
x^2 +y^2 is even but not divisible by 4
prove that n^2-1 is divisible by 8 if n is positive odd integer
Prove that square of odd positive integer is of the
form 4m +1 for some whole number m
Show that the square of an odd positive integer is of the form 4m + 1, for some whole number m.
|
|
10
|
Prime Factorization
Write the Prime factorization of 21252; 156; 27300
|
|
11
|
Prime Factorization LCM and HCF
|
|
12
|
Find LCM and HCF of 17, 23 and 29 by the prime Factorization method
Explain why 7×11×13+13 is composite number
How will you show that (17×11×2)+(17×11×5) is a composite numbers,
|
|
13
|
Ex 3 :- Check weather 4^n can end with the
digit 0 for any natural number n
Check weather 〖15〗^n can end with the
digit 0 for any natural number n
|
|
14
|
Convert fraction into decimal with out actual division
|
|
15
|
SHOW THAT √5 IRRATIONAL NUMBER
|
|
16
|
SHOW THAT 3+2√5 IRRATIONAL NUMBER
SHOW THAT 5-√3 IRRATIONAL NUMBER ;
prove THAT 3√2 IRRATIONAL NUMBER
|
|
17
|
SHOW THAT √2+√3 IRRATIONAL NUMBER
|
|