Download Page 1 1. Has the rational number 2 7 2 441 , 2 .5 .7 a terminating or

PREVIOUS YEAR QUESTIONS
REAL NUMBERS
441
, a terminating or a non-terminating decimal representation?
1.
Has the rational number
2.
Prove that 15 + 17 3 is an irrational number..
3.
(i) Find the LCM and HCF of 120 and 144 by using Fundamental Theorem of Arithmetic.
2
2 .57.72
241
241

, find the values of m and n where m and n are non-negative integers.
4000 2m 5n
Hence write its decimal expansion without actual division.
(ii) If
4.
Prove that
5.
Express the number 0.3178 in the form of rational number
6.
The LCM of 2 numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number
is 280, then find the other number.
7.
The decimal expansion of  is:
(a) terminating
(c) non-terminating and recurring
8.
3 is irrational.
a
.
b
(b) non-terminating and non-recurring
(d) doesn’t exist
Which of the following rational numbers have a terminating decimal expansion?
(a)
125
441
(b)
77
210
(c)
15
1600
(d)
129
2
2  52  72
9.
If the HCF of 55 and 99 is expressible in the form 55m – 99, then the value of m is:
(a) 4
(b) 2
(c) 1
(d) 3
10.
Given that LCM (91, 26) = 182, then HCF (91, 26) is:
(a) 13
(b) 26
(c) 7
1. Non-terminating
7. (b)
3. (i) 720;
(ii) m = 5, n = 3,
0.06025 terminating
8. (c)
(d) 9
5.
635
1998
9. (b)
6. 80
10. (a)
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