Real Numbers

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. Which of the following statement about real numbers is false ?

Closed with respect to operation of algebra

Associative law of multiplication

Distributive law of multiplication with respect to addition

Closed with respect to commutative law of addition

Question 1 of 20

2. If = a + b  then a and b respectively are.

12 and 2

√5 and √5

10 and 2√30

11 and 2

Question 2 of 20

3.

18

-20

20

16

Question 3 of 20

4. If = 1.732 and = 1.414, the value of  is:

3.146

0.318

1/3.146

√1.732-√1.414

Question 4 of 20

5. Simplify

2√7

√7

3√7

4√7

Question 5 of 20

6. If x = 2 + , then  equals to:

4

4

4-2√3

-2√3

Question 6 of 20

7. Simplify: 3 √54÷2√2

A

B

C

D

Question 7 of 20

8. 2.142678 is a ………

Whole number

Rational number

Natural number

Irrational number

Question 8 of 20

9.  

 

 

 

 

 

 

Evaluate: 1/√2-√3=

A

B

C

D

Question 9 of 20

10.

16

-4

2(√3-√5)

2(√3+√5)

Question 10 of 20

11. Which of the following is irrational

A

B

C

D

Question 11 of 20

12. When 15 is divided by , the quotient is:

5√3

3√5

3√3

5√5

Question 12 of 20

13. The simplest rationalization factor of  is:

A

B

C

D

Question 13 of 20

14. If (√5+√6)²=a+b√30 then a and b are

A

B

C

D

Question 14 of 20

15. Evaluate (√2-1)²

A

B

C

D

Question 15 of 20

16. ,br>

what are a and b?

a=5 , b=2

a=1,b=2

a=5,b=-2

a=1, b=2

Question 16 of 20

17. Rationalizing Factor is is

-5-√2

5-√2

5+√2

-5+√2

Question 17 of 20

18. when simplified is:

Positive and rational

Positive and irrational

Negative and irrational

Negative and rational

Question 18 of 20

19. Simplify

-75

70

75

76

Question 19 of 20

20. Add .

A

B

C

D

Question 20 of 20

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