Ratio and Proportion

If x, 2, 10, y are in continued proportion, the values of x and y are :

• $\frac{5}{2}\ and\ \ 50$

• $\frac{2}{5}\ and\ \ \frac{1}{2}$

• $\frac{5}{2}\ and\ \ 5$

• $\frac{2}{5}\ and\ \ 50$

If x + 5 is the mean proportion between x + 2 and x + 9, the value of ‘x’ is :

• 7

• 8

• 6

• 11

What least number must be subtracted from each of the numbers 7, 17 and 47 so that the remainders are in continued proportion ?

• 1

• 2

• 3

• 4

If 12 is the mean proportion between two numbers x and y and 96 is the third proportional to x and y, the numbers x and y are :

• 12 and 12

• 8 and 18

• 6 and 24

• 9 and 16

 $If\ \frac{8x+13y}{8x-13y}=\frac{9}{7}$  using the properties of proportion, the value of x : y is : 

• 1 : 13

• 13 : 1

• 8 : 13

• 13 : 8

If a : b = 3 : 5, the value of (10a + 3b) : (5a + 2b) is :

• 9 : 5

• 5 : 9

• 7 : 4

• 51 : 31

If (x³ + 3x) : (3x² + 1) = 341 : 91, using the properties of proportion, the value of x is :

• 1

• 2

• 11

• 22

 $If\ m=\frac{6ab}{a+b},\ the\ value\ of\ \frac{m+3a}{m-3a}+\frac{m+3b}{m-3b}is$  

• 0

• 1

• 2

• 3

 $If\ x=\frac{\sqrt{m+n}+\sqrt{m-n}}{\sqrt{m+n}-\sqrt{m-n}}$  then  n  can be expressed in terms of  x  and  m  as :  

•  $n=\frac{mx}{x^2+1}$  

•  $n=\frac{mx}{x^2-1}$  

•  $n=\frac{2mx}{x^2-1}$  

•  $n=\frac{2mx}{x^2+1}$  

If 8x ─ 7y = 5x + 8y, then using the properties of proportion, the value of (7x + 2y) : (7x ─ 2y) is :

• 5 : 1

• 1 : 5

• 33 : 37

• 37 : 33