MCQ - Class 10 - Real Number - Part 1

1.  For The given positive integers, a and b, there exist unique integer q and r satisfying a = bq + r where  is known as -

a)  Fermat Lemma                                                    

b) Gauss lemma                                                     

c) Euclid division lemma                                      

 d) Poincare Lemma

2.  The sum or difference of a rational and an irrational number will be

    a)  Rational                                     b) Irrational

    c) Natural                                        d) Whole

3. Let x = be a rational number such that the prime factorization of q is not of the form of 2^m. 5ⁿ; where m and n being non – negative integers, then x has a ------------------ decimal expansion.

                   a) non terminating repeating                   b) terminating

                   c) non terminating non repeating          d) none of these

4. “Every composite number can be expressed as a product of primes, and this expression is unique, apart from the order in which the prime factors occur”. This statement is better known as –

                 a) Fundamental Theorem of Algebra      b) Fundamental theorem of Arithmetic

                 c) Fundamental theorem of geometry   d) None of these

 5. For some integer m, every even integer is of the form

                a) m                       b ) m + 1                               c) 2m                     d) 2m + 1

 6. For some integer q, every odd integer is of the form

                a) q                        b) q + 1                                 c) 2q                      d) 2q + 1

 7.  The unit digit obtained on simplifying 207 x 39 x 72 x 94 is:

                a) 2                         b) 3                                        c) 4                         d) 0

8.  Total number of even prime number is: -

                a) 0                         b) 1                        c) 2                                         d) 3

9. How many rational number can be obtained between 2 and 3:-

                a) 2                         b) 5                        c) infinite                             d) 1000

10. If mⁿ = 32, where m and n are positive integers, then the value of n^mn is :-

                a) 234                    b) 2¹⁰                     c) 5¹⁰                                      d) 5²⁴

^{Dr Rajesh Kumar Thakur} 

^{Note : - Answer is marked here with Red colour}