Real Numbers CBSE Grade 10

A rational number between 3/5 and 4/5 is

• 7/5

• 2/10

• 7 /10

• 1 / 4

The value of (  $\sqrt{5}$  +   2 )( $\sqrt{5}$  -   2 )is:

• 10

• 7

• 1

•  $\sqrt{3}$  

     
Let x =     $\frac{7}{20\ \times\ 25}$  be a rational number. Then x has decimal expansion, which terminates:

• after four places of decimal

• after three places of decimal

• after two places of decimal

• after five places of decimal

If HCF and LCM of two numbers are 4 and

9696, then the product of the two numbers is:

• 9696

• 24242

• 38784

• 4848

• 12

• 9

• 8

• 6

If (m)ⁿ =32 where m and n are

positive integers, then the value of (n)^mn is:

• 32

• 25

• 5¹⁰

• 5²⁵

Any one of the numbers a, a + 2 and a + 4 is a multiple of:

• (a) 2

• (b) 3

• (c) 5

• (d) 7

The HCF of 52 and 130 is

• (a) 52

• (b) 130

• (c) 26

• (d) 13

Euclid’s division lemma state that for any positive integers a and b, there exist unique integers q and r such that a = bq + r where r must satisfy

• (a)  1 < r < b

  
  

• (b)   0 < r  $\le$   b
  
  

• (c)   0  $\le$   r < b
  
  

• (d)   0 < r < b

The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, then the other number is

• (a) 23

• (b) 207

• (c) 1449

• (d) none of these