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. What is the condition that 'r' must satisfy?
Anonymous Quiz
25%
0 ≤ r < b
37%
0 < r ≤ b
29%
0 ≤ r ≤ b
10%
r > b
❤1
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
22%
90 minutes
32%
120 minutes
41%
180 minutes
5%
240 minutes
The number 7 × 11 × 13 + 13 is a:
Anonymous Quiz
17%
prime number
66%
composite number
12%
irrational number
5%
none of these
😱2
The decimal expansion of the rational number 17/8 will terminate after how many places of decimals?
Anonymous Quiz
15%
1
34%
2
46%
3
5%
4
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Polynomials
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Polynomials
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The graph of y = ax² + bx + c is an upward-opening parabola which intersects the x-axis at two distinct points. Which of the following is correct?
Anonymous Quiz
36%
a > 0, D > 0
37%
a < 0, D > 0
18%
a > 0, D < 0
10%
a < 0, D = 0
The number of zeroes for a polynomial p(x) whose graph is given below is:
Anonymous Quiz
38%
1
44%
2
15%
3
2%
4
If α and β are the zeroes of the polynomial x² - 5x + 6, then the value of 1/α + 1/β is:
Anonymous Quiz
39%
5/6
42%
-5/6
17%
6/5
3%
-6/5
What must be subtracted from p(x) = 8x⁴ + 14x³ - 2x² + 7x - 8 so that the resulting polynomial is exactly divisible by g(x) = 4x² + 3x - 2?
Anonymous Quiz
30%
14x - 10
46%
14x + 10
19%
10x - 14
6%
10x + 14
If α and β are the zeroes of the polynomial 2x² - 3x + 1, then the value of α² + β² is:
Anonymous Quiz
28%
9/4
42%
5/4
21%
1/4
9%
7/4
The product of the zeroes of the cubic polynomial p(x) = x³ - 7x + 6 is:
Anonymous Quiz
14%
1
33%
7
43%
6
10%
-6
The sum of the zeroes of the cubic polynomial 2x³ - 5x² - 14x + 8 is:
Anonymous Quiz
18%
-5/2
52%
5/2
20%
7
10%
-4
❤2
The sum of the zeroes of the quadratic polynomial 3x² + 5x - 2 is:
Anonymous Quiz
26%
5/3
54%
-5/3
17%
2/3
4%
-2/3