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MATHEMATIC CENTER D96 MUNIRKA VILLAGE NEW DELHI 110067
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1.
2.
3.
4.
Which of the following numbers has terminating decimal expansion?
A.
37 / 45
B.
21 / 2356
C.
17 / 49
D.
89 / 2232
The [HCF x LCM] for the numbers 50 and 20 is
A.
10
B.
100
C.
1000
D.
50
Which of the following number has terminating decimal expansion?
A.
37/45
B.
21/ 235 6
C.
17/49
D.
89/2232
Euclid’s division lemma states that for two positive integers a asbd b. there exist unique integers q and r such
that a = bq+r, where r must satisfy?
5.
6.
7.
8.
9.
A.
1<r<b
B.
0 < r <=b
C.
0 <=r < b
D.
0<r<b
The decimal expansion of the number 31/ 22.5 will terminate after
A.
One Decimal Place
B.
Two Decimal Place
C.
Three Decimal Place
D.
More than 3 Decimal Place
that HCF (2520, 6600) =40, LCM (2520, 6600) =252 x k, then the value of k is:
A.
1650
B.
1600
C.
165
D.
1625
If p, q are two co – prime numbers.HCM (p, q) is:
A.
p
B.
q
C.
pq
D.
1
The decimal expansion of the rational number 23/22.5 will terminate after
A.
One Decimal Place
B.
Two Decimal Place
C.
Three Decimal Place
D.
More than 3 Decimal Place
n 2 - 1 is divisible by 8, if n is
A.
1
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B.
p
C.
q
D.
pq
10. If p, q are two prime number, then LCM (p, q) is:
A.
1
B.
p
C.
q
D.
pq
11. If d= HCF (48, 72) the value of d is:
A.
24
B.
48
C.
12
D.
72
12. The decimal expansion of the rational number 11/2^3 5^2 will terminate after:
A.
One Decimal Place
B.
Two Decimal Place
C.
Three Decimal Place
D.
More than 3 Decimal Place
13. If the HCF of 65 and 117 is expressible in the form 65 m – 117, then the values of m is:
A.
4
B.
2
C.
3
D.
1
14. If d= LCM (36, 198), then the value of s is:
A.
396
B.
198
C.
36
D.
1
15. In the adjoining factor tree, find the number m, n:
A.
35/14
B.
14/35
C.
1/7
D.
7/8
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MATHEMATIC CENTER D96 MUNIRKA VILLAGE NEW DELHI 110067
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16. If x- 23 x 3 x 52, y- 2 2 x 33 then IICF (x, y) is:
A.
12
B.
108
C.
6
D.
36
17. Given that HCF (253, 440) = 11 and LCM (253, 440) = 253 x R. The value of R is:
A.
400
B.
40
C.
440
D.
253
18. The rational number of decimal (0.6) ¯ is:
A.
33/50
B.
2/3
C.
111/167
D.
1/3
19. If two positive integer a and b are written as a = x2 y2and b = xy2; x,y are prime number then HCF (a, b) is:
A.
xy
B.
xy2
C.
x2 y3
D.
x2 y2
20. Given that HCF (26, 91) = 13, then LCM (26, 91) is:
A.
2344
B.
182
C.
91
D.
364
21. (2 + v5) (2 + v5 )expression is:
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A.
A rational number
B.
A Whole number
C.
An irrational number
D.
A natural number
22. If the HCF of 85 and 153 is expressible in the form 85n – 153, then value of n is:
A.
3
B.
3
C.
4
D.
1
23. (v2 - v3) (v3 - v2) is
A.
A rational number
B.
A Whole number
C.
An irrational number
D.
A natural number
24. 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
25. The decimal expansion of 33 / 22x 5 will terminate after:
A.
One Decimal Place
B.
Two Decimal Place
C.
Three Decimal Place
D.
More than 3 Decimal Place
26. Which is not an irrational number?
A.
5 - v3
B.
v2 + v5
C.
4 + v2
D.
6 + v9
27. Which is not irrational number?
A.
v5 - v3
B.
6 + v9
C.
v3 – 1
D.
2v3 – 3
28. How many prime factors are there in prime factorization of 5005.
A.
2
B.
4
C.
6
D.
7
29. 119 2 - 111 2 is:
A.
Prime Number
B.
Composite number>
C.
An odd prime number
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D.
An odd composite number
30. If least prime factor of a is 3 and least prime factor of b is 7, the least prime factor of (a+ b) is:
A.
2
B.
3
C.
5
D.
11
31. If product of the HCF and LM of the smallest prime number and the smallest composite number is:
A.
2
B.
4
C.
6
D.
8
32. If n is any natural number, then which of the following expression ends with 0:
A.
(3 x 2)n
B.
(4 x 3)n
C.
(2 x 5)n
D.
(6 x 2)n
33. If a, b are co prime, then a2 , b2 are:
A.
Coprime
B.
Not Coprime
C.
Odd numbers
D.
Even numbers
34. The decimal expansion of the rational number 43 / 24 x 53 will terminate after:
A.
a = bq + r, 0 < r < b
B.
a = bq + r, 0<= r <=b
C.
a = bq + r, 0<= r < b
D.
a = bq + r, 0 < b < r
35. Which of the following is not an irrational number?
A.
5 - v3
B.
v5 + v3
C.
4 + v2
D.
5 + v9
36. Which of the following is rational?
A.
v6 + v9
B.
v2 + v4
C.
v4 + v9
D.
v3 + v5
37. Euclid’s division lemma states that if a and b two positive integer, then there exist unique integer q and r such
that:
A.
a = bq + r, 0 < r < b
B.
a = bq + r, 0 <= r <=b
C.
a – bq + r, 0 <= r < b
D.
a – bq + r, 0 <=b < r
Email [email protected] 9810144315
MATHEMATIC CENTER D96 MUNIRKA VILLAGE NEW DELHI 110067
www.badhaneducation.in or www.mathematic.in 9810144315
38. Which is the following rational number have a terminating decimal expansion?
A.
125/ 441
B.
77 / 210
C.
15 / 1600
D.
129 / 22 x 52 x 72
39. The value of x in the factor tree is:
A.
30
B.
150
C.
100
D.
50
40. Which of the following rational number have non terminating and repeating decimal expansion?
A.
15 / 1600
B.
17 / 6
C.
23 / 8
D.
35 / 50
41. According to Euclid’s division algorithms HCF of any two positive integers a and b with a > b is obtained by
applying Euclid’s division lemma to a and b to find 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
42. The decimal expansion of 141 / 120 will terminate after how many places of decimals?
A.
1
B.
2
C.
3
D.
Will not terminate
43. The decimal expansion of 131 / 120 will terminate after how many places od decimal?
A.
1
B.
2
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C.
3
D.
Will not terminate
44. According to Euclid’s division algorithm using Euclid’s division lemma for two positive integer a and b with a > b
enables us to find:
A.
HCF
B.
LCM
C.
Decimal expansion
D.
Probability
45. The decimal expansion of 6 / 1250 will terminate after how many places of decimal?
A.
1
B.
2
C.
3
D.
4
46. For some integer m, every even integer is of form
A.
m
B.
m+1
C.
2m
D.
2m + 1
47. For some integer q, every odd integer is of the form
A.
q
B.
q+1
C.
2q
D.
2q + 1
49. If two positive integer a and b are written as
a = x3 y2 and b = xy3 , x, y are prime numbers, then HCF (a, b) is
A.
xy
B.
xy2
C.
x3 y3
D.
x2 y2
50. If two positive integer p and q can be expresses as
P = ab2 and q = a3b, a, b being prime numbers, then LCM (p, q) is:
A.
ab
B.
a2 b2
C.
a3 b2
D.
a3 b3
51. The product of a non- zero rational and an irrational number is:
A.
Always irrational
B.
Always rational
C.
Always or irrational
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D.
One
52. The decimal expansion of the rational number 14587 / 1250 will terminate after:
A.
One decimal
B.
Two decimal
C.
Three decimal
D.
Four decimal
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