Q.1
Two numbers are in the ratio $$1\frac{1}{2}$$ : $$2\frac{2}{3}$$ When each of these is increased by 15, they become in the ratio $$1\frac{2}{3}$$ : $$2\frac{1}{2}$$ . The greater of the numbers is = ?
Q.2
Railway fares of 1st, 2nd and 3rd classes between two stations were in the ratio of 8 : 6 : 3. The fares of 1st and 2nd class were subsequently reduced by $$\frac{1}{6}$$ and $$\frac{1}{12}$$ respectively. If during a year the ratio between the passengers of 1st, 2nd and 3rd classes was 9 : 12 : 26 and the total amount collected by the sale of tickets was Rs. 1088, then find the collection from the passengers of 1st class.
Q.3
If 5 person together can make 5 mats in 5 hours, then 10 person in 10 hours will make = ?
Q.4
If $$\frac{x}{2} = \frac{y}{3} = \frac{z}{4} = $$   $$\frac{{2x - 3y + 5z}}{k}{\text{,}}$$    then the value of k is -
Q.5
A mixture contains wine and water in the ratio 3 : 2 and another mixture contains them in the ratio 4 : 5. How many litres of the latter must be mixed with 3 litres of the former so that the resulting mixture may contain equal quantities of wine and water = ?
Q.6
The monthly salaries of A, B and C are in the ratio 2 : 3 : 5. If C's monthly salary is Rs. 12000 more than that of A, then B's annual salary is = ?
Q.7
The ratio of the numbers of boys and girls in a school was 5 : 3. Some new boys and girls were admitted to the school, in the ratio 5 : 7. At this, the total number of students in the school became 1200 and the ratio of boys to girls changed to 7 : 5. The number of students in the school before new admissions was = ?
Q.8
If a : b = c : d, then $$\frac{{{\text{ma}} + {\text{nc}}}}{{{\text{mb}} + {\text{nd}}}}$$   is equal to -
Q.9
The ration 43.5 : 25 is the same as = ?
Q.10
If A : B = 1 : 2, B : C = 3 : 4, C : D = 6 : 9 and D : E = 12 : 16 then A : B : C : D : E is equal to = ?
Q.11
The numbers are in the ratio 3 : 5 and their LCM is 225. The smaller number is = ?
Q.12
If $$\frac{a}{b} = \frac{b}{c} = \frac{c}{d},$$   then $$\frac{{{b^3} + {c^3} + {d^3}}}{{{a^3} + {b^3} + {c^3}}}$$   will be equal to -
Q.13
If p : q = 3 : 4, r : s = 8 : 5 and x : y = 10 : 6, then psx : qry is equal to.
Q.14
If A : B = 3 : 4 and B : C = 8 : 9, then A : B : C is = ?
Q.15
If 2A = 3B = 4C, the A : B : C is = ?
Q.16
x, y, z, u are real numbers such that x : y = y : z = z : u and x : u = 64 : 27. the value of x : z is -
Q.17
If p : q : r = 1 : 2 : 4, then $$\sqrt {5{p^2} + {q^2} + {r^2}} $$    is equal to -
Q.18
The ratio of the first and second class fares between two railway stations is 4 : 1 and that of the number of passengers travelling by first and second classes is 1 : 40. If on a day Rs. 1100 are collected as total fare, the amount collected from the first class passengers is = ?
Q.19
If a : (b + c) = 1 : 3 and c : (a + b) = 5 : 7, then b : (a + c) is equal to.
Q.20
If A : B = $$\frac{1}{2}$$ : $$\frac{1}{3}$$ and B : C = $$\frac{1}{2}$$ : $$\frac{1}{3},$$  then A, B, C is equal to -
Q.21
If A : B : C = 2 : 3 : 4, then the ratio $$\frac{{\text{A}}}{{\text{B}}}$$ : $$\frac{{\text{B}}}{{\text{C}}}$$ : $$\frac{{\text{C}}}{{\text{A}}}$$ is equal to -
Q.22
If a : b = 3 : 4, b : c = 4 : 7, then $$\frac{{a + b + c}}{c}$$   is equal to -
Q.23
If A : B : C = 2 : 3 : 5 and A = x% of (B + C), then x is equal to -
Q.24
If x : y = 3 : 1, then x3 - y3 : x3 + y3 = ?
Q.25
If a and b are rational numbers and $$a + b\sqrt 3 $$   $$ = $$ $$\frac{1}{{2 - \sqrt 3 }}{\text{,}}$$   then a : b is equal to = ?
Q.26
If 5a + 3b : 2a - 3b = 23 : 5, then the value of a : b is
Q.27
If 8a = 9b then the ratio of $$\frac{{\text{a}}}{9}$$ to $$\frac{{\text{b}}}{8}$$ is
Q.28
If a : b = b : c, then a4 : b4 would be equal to
Q.29
If x : y = 7 : 3, then the value of $$\frac{{xy + {y^2}}}{{{x^2} - {y^2}}}$$   is
Q.30
The salaries of A, B and C are in the ratio 1 : 3 : 4. If the salaries are increased 5%, 10% and 15% respectively. Then the increased salaries will be in the ratio = ?
0 h : 0 m : 1 s