If two positive integers 'a' and 'b' are written as a = x³y² and b = xy³, where x, y are prime numbers, then HCF(a, b) is:
Anonymous Quiz
17%
xy
57%
xy²
20%
x³y³
5%
x²y²
A rational number p/q has a terminating decimal expansion if the prime factorization of q (in its simplest form) is of the form:
Anonymous Quiz
21%
2ⁿ 3ᵐ
31%
3ⁿ 5ᵐ
45%
2ⁿ 5ᵐ
4%
2ⁿ 7ᵐ
The decimal representation of 23 / (2³ × 5²) will terminate after how many decimal places?
Anonymous Quiz
23%
2
43%
3
23%
5
11%
1
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The decimal expansion of the rational number 14587 / 1250 will terminate after:
Anonymous Quiz
25%
1 decimal place
36%
2 decimal places
29%
3 decimal places
10%
4 decimal places
What is the largest number that divides 70 and 125, leaving remainders 5 and 8 respectively?
Anonymous Quiz
36%
13
23%
65
31%
875
9%
1750
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Three bells toll at intervals of 9, 12, and 15 minutes respectively. If they start tolling together, after what time will they next toll together?
Anonymous Quiz
13%
90 minutes
29%
120 minutes
52%
180 minutes
6%
240 minutes
If a prime number 'p' divides a², then which of the following is always true for positive integer 'a'?
Anonymous Quiz
11%
p divides 2a
64%
p divides a
21%
p² divides a
4%
a is a prime number
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According to Euclid's division lemma, for any two positive integers 'a' and 'b', there exist unique integers 'q' and 'r' such that a = bq + r, where 'r' must satisfy:
Anonymous Quiz
20%
1 < r < b
57%
0 ≤ r < b
18%
0 < r ≤ b
5%
r > b
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The product of the smallest prime number and the smallest composite number is:
Anonymous Quiz
37%
2
23%
4
11%
6
29%
8
The number 7 × 11 × 13 + 13 is a:
Anonymous Quiz
11%
Prime number
69%
Composite number
14%
Neither prime nor composite
6%
Irrational number
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The prime factorization of 156 is:
Anonymous Quiz
15%
2 × 3 × 13
66%
2² × 3 × 13
10%
2 × 3² × 13
9%
2² × 39
Using Euclid's division lemma, any positive odd integer can be expressed in the form of (where q is some integer):
Anonymous Quiz
23%
4q or 4q + 2
43%
4q + 1 or 4q + 3
23%
4q only
11%
4q + 2 only
The HCF of two numbers is 18 and their product is 12960. Their LCM will be:
Anonymous Quiz
12%
420
19%
600
61%
720
9%
800
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If p = a²b³ and q = a³b, where a and b are prime numbers, then LCM(p, q) is:
Anonymous Quiz
8%
ab
28%
a²b²
58%
a³b³
6%
a⁵b⁴
The product of two co-prime numbers is 117. Their LCM should be:
Anonymous Quiz
27%
1
44%
117
20%
Cannot be determined
9%
Equal to their HCF
The sum of a rational number and an irrational number is:
Anonymous Quiz
24%
Always rational
55%
Always irrational
16%
Can be rational or irrational
6%
Always an integer
The HCF of the smallest two-digit composite number and the smallest composite number is:
Anonymous Quiz
45%
2
26%
4
15%
10
14%
1
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