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Topic Question Set

Q 1 :    

real numbers class 10 questions with solutions |

  • 201

  • 202

     

  • 203

     

  • 204

     

real numbers class 10 questions with solutions |

 

Q 2 :    

HCF Choice 8, 9 25 is

  • 8

  • 9

     

  • 25

     

  • 1

     

(4)

 

Q 3 :    

Which of the following is not irrational?

  • (2 - 3)2

     

  • (2 + 3)2

     

  • (2 - 3)(2 + 3)

     

  • None of these

     

(3)

 

Q 4 :    

The Product of a rational and irrational number is

  • Rational

     

  • Irrational

     

  • (a) or (b)

     

  • None of these

     

(3)

Explanation: Rational No. x Irrational No.

Case I: 12 × 3 =32 = Irrational no.

Case II: 01 × 3 = 0 = Irrational no.

∴ Product of rational no. and irrational no. may be rational no an irrational number

Q 5 :    

The sum of a rational and irrational number is

  • Rational

     

  • Irrational

     

  • Both of above

     

  • None of these

     

(2)

 

Q 6 :    

The product of two different irrational numbers is always

  • Rational

     

  • Irrational

     

  • Rational or Irrational

     

  • None of these

     

(3)

 

Q 7 :    

The sum of two irrational numbers is

  • Irrational

     

  • Rational

     

  • Rational or Irrational

     

  • One

     

(3)

Explanation: Irrational no. + Irrational no.

Case I: 2 + 2 = 22

Case II: 2 + 3 and 2 - 3

= 2 + 3 + 2 - 3

= 4 = rational no.

∴ Sum of two irrational numbers is rational or irrational

 

Q 8 :    

The product of three consecutive positive integers is divisible by

  • 4

     

  • 6

     

  • No common factor

     

  • Only 1

     

(2)

 

Q 9 :    

The set A = {0, 1, 2, 3, 4, ...} represents the set of

  • Whole numbers

     

  • Integers

     

  • Natural numbers

     

  • Even numbers

     

(1)

 

Q 10 :    

Which number is divisible by 11?

  • 1516

     

  • 1452

     

  • 1011

     

  • 1121

     

(2)