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CBSE - Class 10 Mathematics Real numbers Worksheet
Which of the following is a rational numbers?
A) √7 + √7
b.(B) √25 + √3
c.(C) 1/√4
d.(D) √9 × √3
Such two numbers are possible which LCM is 50 and HCF is 7.
For all a,b belong R, this imply
The prime factorisation of 378 is:
2×3^3×7
b.2×3^2×7
c.3^3×7
d.2×3×7^2
Decimal expansion of a rational numer is
always terminating
b.always non-terminating
c.either terminating or non-terminating recurring
d.none of these
The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is
13
b.65
c.875
d.1750
Additive property of order of real number is for all a, b, c, d belong to R.
If and LCM(a,b,c)=
, then n=
1
b.2
c.3
d.4
For some integer m, every even integer is of the form
m
b.m+1
c.2m
d.2m+1
If n is any natural number, then always ends with
1
b.3
c.5
d.7
The largest number that will divide 398,436 and 542 leaving remainders 7,11 and 15 respectively is
17
b.11
c.34
d.45
If HCF(72, 120) = 24, then LCM is:
240
b.360
c.480
d.600
Find the greatest number which divides 243 an 2051 such that leaves reminder 3 in each case.
16
b.7
c.245
d.2053
If the HCF of 65 and 117 is expressible in the form 65 m – 117, then the value of m is
4
b.3
c.2
d.1
What is the HCF of the smallest prime number and the smallest composite number ?
1
b.2
c.3
d.4
A rational number in its decimal expansion is 327.7081. What would be the prime factors of q when the number is expressed in the p/q form?
2 and 3
b.3 and 5
c.2, 3 and 5
d.2 and 5
The sum of two numbers is 18, and they are alternate even numbers, find the
largest out of the two.
4
b.6
c.8
d.10
If the LCM of a and 18 is 36 and HCF of a and 18 is 2, then a is ?
2
b.3
c.4
d.1
For some integer q, every odd integer is of the form
q
b.q+1
c.2q
d.2q+1
On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?
2520cm
b.2525cm
c.2555cm &n
Worksheet Answers
Solution:
378÷2=189,
189 = 3^3 × 7
Solution:
