Chapter no. 02 system of real numbers

Chapter no. 02   system of real numbers

Q: 1   Choose the correct answer

1.        If x=√5-2 then x² is =                     .

a-) 21                                                                                                     b-) 1

c-) 3                                                                                                       d-) 9-4√5

2.       13× (13)⁰ is equal to                                         .

a-) 169                                                                                                  b-) 1

c-) 0                                                                                                       d-) 13

3.       (7y) ² ÷ 7y² is equal to                                     .

a-) 1                                                                                                       b-) 7

c-) 7/y                                                                                                   d-) y

4.       The multiplicative inverse of ‘zero’                                        .

a-) 0                                                                                                       b-) 1

c-) does not exist                                                                             d-) -1

5.       The only even prime number is                                                 .

a-) 0                                                                                                       b-) 4

c-) 2                                                                                                       d-) 8

6.       If a is negative real number and n is even then

a-) aⁿ < 0                                                                                               b-) aⁿ = 0

c-) aⁿ > 0                                                                                               d-) aⁿ ≥ 0

7.       X ^m/n =                                    .

a-) n √x ^m                                                                                            b-) m √x ⁿ

c-) x ^n/m                                                                                                 d-) x ^m-n

8.       If x = √5 + 2 then x+1/x =                               .

a-) 2√5                                                                                                 b-) 4

c-) 5                                                                                                       d-) √5-2

9.       If x= √5-2 then x+1/x =                                                   .

a-) 2√5                                                                                                                 b-) 4

c-) -2√5                                                                                                                d-) -4

10.   (a √x- b √y)(a √x+ b √y) =                           .                            

a-) ax-by                                                                                              b-) a² x-b²y

c-) 0√5                                                                                                 d-) a ²x ² – b ²y ²

11.   Q ⋃Q^c =                                .

a-) Z                                                                                                      b-) E

c-) P                                                                                                       d-) R

12.   Q ⋂ Q^C =                                              .

a-) N                                                                                                      b-) W

c-) 𝚽                                                                                                     d-) E

13.   The simplified form of (625)^-3/4 =                                             .

a-      125                                                                                         b-) -125

c-) -1/125                                                                                    d-) 1/125

14.   Zero is                                  .

  a-) Additive Identity                                                                    b-) Multiplicative Identity

 c-) Additive Inverse                                                                       d-) Multiplicative Inverse

15.   If x = (-2)⁴ and y = (2)⁴ then x + y =                                             .

a-) 16                                                                                                     b-) 32

c-) 0                                                                                                       d-) 64