Class 10th Maths notes
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The HCF of two numbers is 27 and their LCM is 162. If one of the numbers is 54, what is the other number?
Anonymous Quiz
13%
36
24%
45
17%
9
45%
81
The prime factorization of 140 is?
Anonymous Quiz
8%
2 x 5 x 7
75%
2² x 5 x 7
10%
2 x 5² x 7
7%
2² x 5² x 7
Which of the following is an irrational number?
Anonymous Quiz
12%
√16
38%
√(12/3)
46%
√12
4%
√100
The product of a non-zero rational and an irrational number is always?
Anonymous Quiz
14%
Rational
63%
Irrational
13%
One
11%
Zero
1
The decimal expansion of the rational number 33/(2² x 5) will terminate after how many decimal places?
Anonymous Quiz
17%
One
46%
Two
21%
Three
17%
More than three
2
HCF(a, b) x LCM(a, b) is equal to?
Anonymous Quiz
17%
a + b
15%
a - b
64%
a x b
4%
a / b
👍1
The sum of a rational and an irrational number is?
Anonymous Quiz
17%
Always rational
56%
Always irrational
22%
Can be rational or irrational
5%
Always an integer
The Fundamental Theorem of Arithmetic states that every composite number can be expressed as a product of?
Anonymous Quiz
53%
Primes
30%
Even numbers
10%
Odd numbers
7%
Irrational numbers
1
Which of the following numbers has a terminating decimal expansion?
Anonymous Quiz
28%
17/9
32%
64/455
15%
29/343
25%
13/3125
If p is a prime number and p divides k², then p divides?
Anonymous Quiz
24%
2k
55%
k
10%
3k
12%
The largest number that divides 70 and 125, leaving remainders 5 and 8 respectively, is?
Anonymous Quiz
37%
13
26%
65
23%
875
14%
1750
What is the HCF of the smallest prime number and the smallest composite number?
Anonymous Quiz
36%
1
50%
2
9%
3
5%
4
The proof of the irrationality of √3 is based on?
Anonymous Quiz
12%
Proof by induction
66%
Proof by contradiction
15%
Direct proof
8%
Proof by construction
2
Two tankers contain 850 litres and 680 litres of kerosene oil respectively. Find the maximum capacity of a container that can measure the kerosene oil of both the tankers when used an exact number of times.
Anonymous Quiz
39%
170 litres
43%
180 litres
15%
150 litres
3%
160 litres
1
If one of the zeroes of the quadratic polynomial (k-1)x² + kx + 1 is -3, then the value of k is?
Anonymous Quiz
37%
4/3
35%
-4/3
21%
2/3
7%
-2/3
1
A quadratic polynomial whose zeros are -3 and 4 is?
Anonymous Quiz
30%
x² - x + 12
19%
x² + x + 12
35%
x² - x - 12
17%
2x² + 2x - 24
2
The number of polynomials having zeroes as -2 and 5 is?
Anonymous Quiz
14%
1
37%
2
16%
3
33%
More than 3
1
The zeroes of the polynomial x² - 3x - m(m+3) are?
Anonymous Quiz
24%
m, m+3
41%
-m, m+3
23%
m, -(m+3)
11%
-m, -(m+3)
1
If the sum of the zeroes of the polynomial p(x) = (a+1)x² + (2a+3)x + (3a+4) is -1, then the product of its zeroes is?
Anonymous Quiz
23%
-2
46%
2
21%
1
10%
-1
2
The graph of a quadratic polynomial is a?
Anonymous Quiz
35%
Straight line
20%
Circle
43%
Parabola
2%
Ellipse
3