KENDRIYA
VIDYALAYA VIJAYAPUR
Topic: Real Number
Name: Class:10
1. If the HCF of 65 and 117 is
expressible in the form 65 m -117,then the value of m is:
a) 4
b) 2
c) 3
d) 1
2. If d =HCF (48,72), the value of d is:
a) 24
b) 48
c) 12
d) 72
3. Given that HCF (26,91)=13,then LCM of
(26,910 is:
a) 2366
b) 182
c) 91
d) 364
4. If p,q are two consecutive natural numbers, then HCF (P,q) is:
a) q
b) p
c) 1
d) Pq
5. If p,q are two co-prime number.HCF
(p,q) is:
a) P
b) q
c) pq
d) 1
6. If d=LCM (36,198),then the value of d
is:
a) 396
b) 198
c) 36
d) 1
7. If the HCF Of 85 and 153 is
expressible in the form 85n-153, then value of n is:
a) 3
b) 2
c) 4
d) 1
8. Given that LCM (91,26)=182,yhyen HCF
(91,26) is:
a) 13
b) 26
c) 7
d) 9
9. A rational number can be expressed as
a terminating decimal if the denominator has factors
a) 2,3 or 5
b) 2 or 3
c) 3 or 5
d) 2 or 5
10. If least
prime factor of a is 3 and least prime factors of b is 7:
a) 2
b) 3
c) 5
d) 11
11.If the
HCF of 65 and 117 is expressible in form 65m – 117 ,then the value of m is:
a) 4
b) 2
c) 1
d) 3
12. According
to Euclid’s division algorithm using Euclid’s division lemma for any positive integer a and b
with a>b enables to find:
a) HCF
b) LCM
c) Decimal expression
d) Probability
13.If two
positive integers a and b are written as a=x²y² and b=xy²; x,y are prime
numbers then (a,b) is:
a) Xy
b) Xy
c) x²y³
d) x²y²
14.According
to Euclid’s division algorithm HCf of any two positive integers a and b with a>b
with a>b is obtained by appling Euclid’s division lemma to a and b to
find p and q such that a=bq+r where r must satisify.
a) 1<r<b
b) 0<r<b
c) 0≤r<b
d) 0<r≤b
15.(√2-√3)(√3+√2)
a) A real number
b) A whole number
c) A n irrational number
d) A natural number
16.If n is any natural number , then which of
the following expression ends with 0:
a) (3*2)ⁿ
b) (4*3)ⁿ
c) (2*5)ⁿ
d) (6*2)ⁿ
17.If two
positive integersp and q can be expressed as
P=ab² and
q=a³b; and a, b being prime numbers, then LCM (p,q) is
a) ab
b) a²b²
c) a³b²
d) a³b³
18.n-1 is
divisible by 5, if n is of the form
a) 5K
b) 5K+1
c) 5K-1
d) 2K
19.For some
integer ‘ x’ , every odd integer is of the form
a) 2x
b) x+1
c) x-1
d) 2x+1
20.The
necessary condition on ‘n’ is irrational will be that
a) n is a perfect sqare
b) n is negative integer
c) n is not a perfect square
d) nothing can be said
21. Which of the following is not irrational
number?
a) 5-√3
b) √5+√3
c) 4+√2
d) 5+√9
22.119²-111²
is:
a) Prime number
b) Composite number
c) An odd prime number
d) An odd composite number
23.If a ,b
are composite , then a²,b² are:
a) Co-prime
b) Not co-prime
c) Odd number
d) Even number
24. The
decimal expansion of7/125 will terminate after how many places of decimal
a) 1
b) 2
c) 3
d) 43
25.Given
that HCF(253,440)=11 and LCM(253,440)=253*R. The value of R is
a) 440
b) 40
c) 440
d) 253
26. n²-1 is
divisible by 8, if n is
a) An integer
b) A natural number
c) An odd integer
d) An even integer
27.Euclid’s
division lemma states that for two positive integers a and b, there exit unique
integers q and r such that a=bq+r, where r must satisfy
a) 1<r<b
b) 0<r≤b
c) 0≤r<b
d) 0<r<b
28.(
2+√5)(2+√5) expansion is:
a) A rational number
b) A whole number
c) An irrational number
d) A natural number
29.Which is
not an irrational number
a) 5-√3
b) √2+√5
c) 4+√2
d) 6+√9
30.If p and
q are odd positive integers then sum of
squares of these two numbers is
a) Always odd
b) Always even
c) Integer
d) Nothing can be said
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