type 1 basic concepts of ratio & proportion Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

If m : n = 3 : 2, then (4m + 5n) : (4m - 5n) is equal to :

a) 11 : 1

b) 9 : 1

c) 9 : 4

d) 4 : 9

Question : 2

If a : b = 5 : 7 and c : d = 2a : 3b, then ac : bd is :

a) 10 : 21

b) 50 : 151

c) 50 : 147

d) 20 : 38

Question : 3

If x : y = 2 : 3, then the value of ${3x+ 2y}/{9x+ 5y}$ is equal to

a) $1/2$

b) $5/14$

c) $4/11$

d) $11/4$

Question : 4

94 is divided into two parts in such a way that the fifth part of the first and the eighth part of the second are in the ratio 3 : 4. The first part is :

a) 40

b) 28

c) 36

d) 30

Question : 5

If a : b = c : d, then ${ma+ nc}/{mb +nd}$ is not equal to

a) ${a +c}/{b +d}$

b) ${c - a}/{b - d}$

c) $c/d$

d) $a/b$

Question : 6

If a : b = c : d = e : f = 1 : 2, then ( 3a + 5c +7e): (3b + 5d + 7 f ) is equal to

a) 1 : 4

b) 1 : 2

c) 2 : 1

d) 8 : 7