Question

a pair of numbers whose h.c.f is 16 and is between 50 and 100 is
a) 16, 64
b) 16, 80
c) 50, 64
d) 64, 80​

Answer 1

Answer:

16=1,2,4,16

50=1,2,5,10,25,50

64=1,2,4,8,16,32,64

80=

Step-by-step explanation:

Answer 2

Given,

A pair of numbers whose h.c.f is 16 and is between 50 and 100 is

a) 16, 64

b) 16, 80

c) 50, 64

d) 64, 80​

To find,

The HCF.

Solution,

Know that the H.C.F. defines the greatest factor present in between given two or more numbers.

The factors of the numbers are as follows

$\[\begin{array}{l} \Rightarrow 16 = 1,2,4,8,16\\ \Rightarrow 50 = 1,2,5,10,25,50\\ \Rightarrow 64 = 1,2,4,8,16,32,64\\ \Rightarrow 80 = 1,2,4,8,10,20,40,80\end{array}\]$

Therefore, the pair of numbers whose h.c.f is $\[16\]$ and is between $\[50\]$ and $\[100\]$ is $\[\left( {64,80} \right).\]$

Hence, the correct option is (d) i.e. $\[64,80.\]$