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CBSE - Class 10 Mathematics Real numbers Worksheet
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
HCF of 8, 9, 25 is
1
b.8
c.9
d.25
If 'm' is a positive prime number then √m
Rational number
b.Irrational number
c.Integer
d.None of these
The decimal expansion of the rational number will terminate after
one decimal place
b.two decimal places
c.three decimal places
d.more than three decimal places
Explain why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers.
987/10500 will have
Terminating decimal expansion
b.Non-Terminating Non repeating decimal expansion
c.Non-Terminating repeating decimal expansion
d.None of these
According to the fundamental theorem of arithmetic, if p (a prime number) divides b2, b > 0, then:
p divides b
b.b divides p
c.p2 divides b2
d.b2 divides p2
The sum of a rational and an irrational is irrational
Check whether can end with the digit 0 for any natural number n.
Which of the following is a rational numbers?
A) √7 + √7
b.(B) √25 + √3
c.(C) 1/√4
d.(D) √9 × √3
n2 – 1 is divisible by 8, if n is
an integer
b.a natural number
c.an odd integer greater than 1
d.an even integer
987/10500 will have
terminating deimal expansion
b.Non-terminating and Non-repeating deimal expansion
c.Non-terminating repeating deimal expansion
d.None of these
LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by
x
b.y
c.xy
d.1
Find the LCM of 40 and 45.
180
b.360
c.480
d.560
Worksheet Answers
Solution:
HCF(8,9,25)=1
Numbers that ends with zero are divisible by 5 and 10. Simultaneously they are divisible by 2 and 5 both.If the number will be divisible by 2 and 5, then, it will end with the digit 0 otherwise not. Prime factor of
.Since, 5 is not a prime factor of
.Therefore, for any value of n,
will not be divisible by 5.Therefore,
cannot end with the digit 0 for any natural number n.
