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CBSE - Class 10 Mathematics Real numbers Worksheet
The decimal expansion of the rational number will terminate after
one decimal place
b.two decimal place
c.three decimal place
d.four decimal place
For all a,b belong R, this imply
For some integer q, every even integer is of the form
q
b.q + 1
c.2q
d.2q + 1
The sum of exponents of the prime factors in the prime factorisation of 196 is?
1
b.2
c.4
d.6
Which of the following is a rational numbers?
A) √7 + √7
b.(B) √25 + √3
c.(C) 1/√4
d.(D) √9 × √3
The prime factorisation of 378 is:
2×3^3×7
b.2×3^2×7
c.3^3×7
d.2×3×7^2
If a number has prime factorisation 2^m × 5^n, its decimal expansion is:
Non-terminating
b.Terminating
c.Non-repeating
d.Irrational
7 x 144
b.54 x 244
c.12 x 7
d.70 x 35
Explain why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers.
Show that any positive odd integer is of the form 4q+1,or 4q+3, where q is some integer.
Which is pair of co-prime?
14; 35
b.18,. ,25
c.31, 93
d.32, 62
If the HCF(26,169)=13, then LCM(26,169)=
26
b.52
c.338
d.13
If LCM and HCF of two numbers 45 and K is 180 and 15 then value of k is
15
b.50
c.60
d.10
Which of the following is not irrational?
(√2 -√3)
b.(√2 + √3)
c.(√2 -√3)+(√2 + √3)
d.(√2 -√3)(√2 + √3)
Prove that 7/20 is terminating decimal.
If m is a natural number , then unit digit in
6^m-5^m is
0
b.1
c.2
d.5
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
Worksheet Answers
Solution:
378÷2=189,
189 = 3^3 × 7
Solution:
Only factors 2 and 5 → terminating decimal.
Solution:
(√2 -√3)(√2 + √3)=2-3=-1
using (a+b)(a-b)=a2-b2
20 = 4 X 5 = 22 X 5, the prime factor of 20 are both 2s & 5s. Hence 7/20 is terminating decimal
