Number System
MOHAMMAD ABID ALIG Number System
1. The decimal expansion of 22/7 is
(a) Terminating
(b) Non-terminating and repeating
(c) Non-terminating and Non-repeating
(d) None of the above
( a )
( b )
( c )
( d )
2. For some integer n, the odd integer is represented in the form of:
(a) n
(b) n + 1
(c) 2n + 1
(d) 2n
( a )
( b )
( c )
( d )
3. HCF of 26 and 91 is:
(a) 15
(b) 13
(c) 19
(d) 11
( a )
( b )
( c )
( d )
4. Which of the following is not irrational?
(a) (3 + √7)
(b) (3 – √7)
(c) (3 + √7) (3 – √7)
(d) 3√7
( a )
( b )
( c )
( d )
5. The addition of a rational number and an irrational number is equal to:
(a) rational number
(b) Irrational number
(c) Both
(d) None of the above
( a )
( b )
( c )
( d )
6. The multiplication of two irrational numbers is:
(a) irrational number
(b) rational number
(c) Maybe rational or irrational
(d) None
( a )
( b )
( c )
( d )
7. If set A = {1, 2, 3, 4, 5,…} is given, then it represents:
(a) Whole numbers
(b) Rational Numbers
(c) Complex numbers
(d) Natural numbers
( a )
( b )
( c )
( d )
8. If p and q are integers and is represented in the form of p/q, then it is a:
(a) Rational number
(b) Whole number
(c) Natural number
(d) Even number
( a )
( b )
( c )
( d )
9. The largest number that divides 70 and 125, which leaves the remainders 5 and 8, is:
(a) 65
(b) 15
(c) 13
(d) 25
( a )
( b )
( c )
( d )
10. The least number that is divisible by all the numbers from 1 to 5 is:
(a) 60
(b) 70
(c) 80
(d) 90
( a )
( b )
( c )
( d )
11. The sum or difference of two irrational numbers is always
(a) rational
(b) irrational
(c) rational or irrational
(d) not determined
( a )
( b )
( c )
( d )
12. The decimal expansion of the rational number 23/(2² . 5) will terminate after
(a) one decimal place
(b) two decimal places
(c) three decimal places
(d) more than 3 decimal places
( a )
( b )
( c )
( d )
13. 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
(a) 0 ≤ r < b
(b) 0 < r ≤ b
(c) 1 < r < b
(d) 0 < r < b
( a )
( b )
( c )
( d )
14. For some integer m, every even integer is of the form
(a) m
(b) m + 1
(c) 2m
(d) 2m + 1
( a )
( b )
( c )
( d )
15. Using Euclid’s division algorithm, the HCF of 231 and 396 is
(a) 32
(b) 21
(c) 13
(d) 33
( a )
( b )
( c )
( d )
16. If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is
(a) 1
(b) 2
(c) 9
(d) 4
( a )
( b )
( c )
( d )
17. The prime factorisation of 96 is
(a) 25 × 3
(b) 26
(c) 24 × 3
(d) 24 × 32
( a )
( b )
( c )
( d )
18. n² – 1 is divisible by 8, if n is
(a) an integer
(b) a natural number
(c) an odd integer
(d) an even integer
( a )
( b )
( c )
( d )
19. For any two positive integers a and b, HCF (a, b) × LCM (a, b) =
(a) 1
(b) (a × b)/2
(c) a/b
(d) a × b
( a )
( b )
( c )
( d )
20. The values of the remainder r, when a positive integer a is divided by 3 are
(a) 0, 1, 2
(b) Only 1
(c) Only 0 or 1
(d) 1, 2
( a )
( b )
( c )
( d )
