Chapter 1 Number System- MCQ Online Test 2 Class 9 Maths
1. Find the simplest form of ?
a. 4/11
b. 8/11
c. 4/13
d. 4/19
2. Which of the following is a rational number?
a. √31
b. √196
c. √180
d. √210
3. The difference of two irrational numbers is
a. Always rational
b. Always an integer
c. Always irrational
d. Either irrational or rational
4. If 3x + 64 = 26 + (√3) 8, then find the value of ‘x’?
a. 3
b. 5
c. 4
d. 6
5. Simplify 
a. 15
b. 10
c. 12
d. 6
6.
a. 
b. 
c. 
d. 
7. 
a. 2
b. 21/6
c. 51/6
d. 1/11
8. Find the value of 1.9999………………. in the form p/q, where ‘p’ and ‘q’ are integers and q ≠ 0?
a. 5
b. 6
c. 2
d. 3
9. Find 2√3 + √3
a. √3
b. 3
c. 3√3
d. 33
10. A rational number equivalent to a rational number 7/19?
a. 17/19
b. 21/57
c. 27/19
d. 7/119
Chapter - 1 Number Systems Quiz- 2 | Math Class 9th
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Question 1 of 10
1. Question
Correct
Incorrect
-
Question 2 of 10
2. Question
Which of the following is a rational number?
Correct
Incorrect
-
Question 3 of 10
3. Question
The difference of two irrational numbers is
Correct
Difference of two irrationals need not be an irrational.
Example
Case I :
(5 + √2) and (3-√2) are irrational numbers.
But, (5+√2) – (3+√2) = 2, which is rational number.
Case II :
√2 and √5 both are irrational numbers.
√2-√5 is an irrational number.Incorrect
Difference of two irrationals need not be an irrational.
Example
Case I :
(5 + √2) and (3-√2) are irrational numbers.
But, (5+√2) – (3+√2) = 2, which is rational number.
Case II :
√2 and √5 both are irrational numbers.
√2-√5 is an irrational number. -
Question 4 of 10
4. Question
If 3x + 64 = 26 + (√3)8, then find the value of ‘x’?
Correct
3x + 64 = 26 + (√3)8
As,
64 = 2×2×2×2×2×2 = 26
So,
3x +26 = 26 + (√3) 2×4
26 + 3x = 26 + (3)4
Now by equating the equation,
We get, x = 4Incorrect
3x + 64 = 26 + (√3)8
As,
64 = 2×2×2×2×2×2 = 26
So,
3x +26 = 26 + (√3) 2×4
26 + 3x = 26 + (3)4
Now by equating the equation,
We get, x = 4 -
Question 5 of 10
5. Question
Simplify (3+√3) (3−√3)
Correct
Here, a = 3 and b = √3
We know that,
(a + b)(a − b) = a2 − b2
So, here
(3+√3)(3−√3) = 32 – (√3)2
⇒ 9 – 3 = 6Incorrect
Here, a = 3 and b = √3
We know that,
(a + b)(a − b) = a2 − b2
So, here
(3+√3)(3−√3) = 32 – (√3)2
⇒ 9 – 3 = 6 -
Question 6 of 10
6. Question
Correct
Incorrect
-
Question 7 of 10
7. Question
Correct
Incorrect
-
Question 8 of 10
8. Question
Correct
1.9999 can be written as 2.
We know that we can round the number greater than 5 to its nearest ten. Therefore, 2 is taken as approx. value.Incorrect
1.9999 can be written as 2.
We know that we can round the number greater than 5 to its nearest ten. Therefore, 2 is taken as approx. value. -
Question 9 of 10
9. Question
Correct
Incorrect
-
Question 10 of 10
10. Question
A rational number equivalent to a rational number 7/19?
Correct
Simplifying the options given.
17/19 is already in simplest form.
21/57, diving both numerator and denominator by 3 we get, 7/19.Incorrect
Simplifying the options given.
17/19 is already in simplest form.
21/57, diving both numerator and denominator by 3 we get, 7/19.